Answer:
Step-by-step explanation:
12.5km
i made that up sorry
An order of brown rice and quinoa weighs 17 pounds and costs $54.
Brown rice: $2.00 per pound
Quinoa: $4.50 per pound
How many pounds of brown rice and quinoa are in this order?
8 ounce of brown rice and 9 ounce quinoa sold.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Brown rice: $2.00 per pound
Quinoa: $4.50 per pound
let the brown rice sold x ounces
and, let the Quinoa sold be y ounces
So, the equations are:
x + y= 17
2x+ 4.5y= 54
2( 17- y) + 4.5y= 54
34 - 2y + 4.5y= 54
2.5y= 20
y= 20/2.5
y= 8 ounce
and, x= 17-8= 9 ounce
Hence, 8 ounce of brown rice and 9 ounce quinoa sold.
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ1
Given in a plane the points A(-1,4),B(2,3),C(4,5),D(m,7)
Calculate m knowing that AB // CD
helppppp step by step
Answer:
m = -2
Step-by-step explanation:
slope of AB
(4-3)/(-1-2)= 1/-3 = -1/3
parallel lines have the same slope
slope of CD = -1/3
we can now find the line that passes through the point C
y-5= -1/3(x-4)
y = -1/3 x +4/3 +5
y = -1/3 x + (4+15)/3
y = -1/3 x + 19/3
this line must passes also through the point D
we know its y, so:
7 = -1/3 x + 19/3
(7 * 3) = (-1/3 x + 19/3) * 3
21 = - x + 19
x = 19 - 21
x = -2
PLS HELP ME ANSWER THIS QUESTIONNAIRE
The correct value of the simplified expressions found using the laws of indices gives;
d. [tex]\sqrt[4]{4}[/tex]a. [tex]\sqrt{\frac{5}{6} }[/tex]d. 3a. [tex]x\cdot \sqrt{y}[/tex]b. x²·yb. 1a. 1/315·x²·y⁴e. 6·x³·y⁵c. [tex]\frac{5}{9}[/tex]What are the laws of indices?The laws of indices state rules that enable the simplification of the combination of expressions of numbers and variables that are given in index form or involve powers of other numbers or variables
1. [tex]3^{\frac{1}{4} } = \sqrt[4]{4}[/tex]
The radical sign is used for expressing fractional indices.
The correct option is d. [tex]\sqrt[4]{4}[/tex]
2. The radical is in its simplest form when it cannot be further simplified, which gives the radical in its simplest form as option a. [tex]\sqrt{\dfrac{5}{6} }[/tex]
3. The index of a number is the number to which the variable or number is raised
The index of x³ in [tex]\sqrt{x^3}[/tex] is d. 3
4. The given expression has y raised to the power of [tex]\frac{1}{2}[/tex], which gives;
[tex]x\cdot y^\frac{1}{2} = x\cdot \sqrt{y}[/tex]
The correct option is a. [tex]x\cdot \sqrt{y}[/tex]
5. The common index of the expression within the parenthesis is [tex]\frac{1}{2}[/tex], which gives;
[tex](x^4\cdot y^2)^\frac{1}{2} = (x^{4\times \frac{1}{2} }\cdot y^{2 \times \frac{1}{2} })=x^2\cdot y[/tex]
The correct option is b. x²·y
6. The value of all numbers raised the power of zero is 1, therefore;
[tex](2^{1/3}\cdot 3^{1/4})^0\cdot (2^{1/5}\cdot 3)^0 = 1 \times 1=1[/tex]
The correct option is b. 1
7. The given expression can be simplified as follows;
[tex]\sqrt[5]{\dfrac{1}{243} } = \sqrt[5]{\dfrac{1}{3^5} } = \sqrt[5]{\left(\dfrac{1}{3} \right)^5} = \dfrac{1}{3}[/tex]
The correct option is therefore; a. 1/3
8. The given expression [tex]\sqrt{225\cdot x^4\cdot y^8} = \sqrt{15^2\cdot x^4\cdot y^8} = 15\cdot x^2\cdot y^4[/tex]
The correct option is [tex]15\cdot x^2\cdot y^4[/tex]
9. The given expression is [tex]\sqrt[3]{216\cdot x^9\cdot y^{15}}[/tex]
[tex]\sqrt[3]{216\cdot x^9\cdot y^{15}} = \sqrt[3]{6^3\cdot x^9\cdot y^{15}} = 6\cdot x^3\cdot y^5[/tex]
The correct option is e. [tex]6\cdot x^3\cdot y^5[/tex]
10. [tex]\sqrt{\dfrac{50}{162} } = \sqrt{\dfrac{25\times 2}{81\times 2} } = \sqrt{\dfrac{25}{81} } = \dfrac{5}{9}[/tex]
The correct option is c. [tex]\frac{5}{9}[/tex]
Learn more about the laws of indices here:
https://brainly.com/question/8959311
#SPJ1
c) √6 x √6 x√6 can someone help
Answer:
14.7
Step-by-step explanation:
Answer:
6[tex]\sqrt{6}[/tex]
or
≈14.7
Step-by-step explanation:
√6 x √6 x√6 can someone help
√6 x √6 x√6 =
6[tex]\sqrt{6}[/tex]
or
≈14.7
X=3/5
Y=1/3
z=2 4/5
work out Z + X x Y
The value of the summation will be equal to 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that X=3/5, Y=1/3, and z=2⁴/₅.
The value of the Z+ ( X x Y ) will be calculated as,
E = Z + ( X x Y )
E = 2⁴/₅ + ( 3 / 5 ) x ( 1 / 3 )
E = 14 / 5 + 1 / 5
E = 15 / 5
E = 3
Therefore, the value of the summation will be equal to 3.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ1
What is the correct way to write 0.0000250 m in scientific notation? 2.50 times. 10â€""5 m 2.5 times. 10â€""5 m 2.50 times. 10â€""4 m 2.5 times. 10â€""4 m
The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.
What is scientific notation?Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:
1.23 × 10⁻⁴9.9 · 10¹⁰⁰5 · 10²Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.
Learn more about scientific notation here: https://brainly.com/question/27862246
#SPJ4
Answer:
A. 2.50 Times. 10–5 m
Step-by-step explanation:
other one is wrong
Each of PQ and RS represents a 2-digit number. Different letter represent different digits, chosen from 6, 7, 8 and 9. What is the greatest product that PQx RS can have?
The greatest product that PQ x RS can have: 96 * 87 = 8352
In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9
We need to find the greatest product that PQ x RS can have.
Consider P = 9, Q = 6, R = 8 and S = 7
So the two digit numbers would be,
PQ = 96 and RS = 87
PQ x RS
= 96 * 87
= 8352
Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352
Learn more about product here:
https://brainly.com/question/11927706
#SPJ1
The price of a movie ticket at the theater is $7 for students.
The price is higher for adults.
A group of 4 students and 3 adults paid $64 in all for movie tickets.
How much does each adult ticket cost?
Each adult tickets costs
The cost of each adult ticket for watching movie at the theatre equals to $12.
How do we derive the cost of each adult ticket?Given data:
Student ticket price = $7
Group of 4 students and 3 adults paid $64 in all for movie tickets.
The computation of each of the adult ticket cost is as follows:
Let x be the cost of each adult ticket.
Then, cost of 3 adult tickets = 3x.
Now:
The cost of 1 student ticket = $7
The cost of 4 student ticket = $7(4)
Then, we get the following equation:
7(4) + 3x = 64
18 + 3x = 64
3x = 64 - 18
3x = 36
x = 12
Read more about price
brainly.com/question/20068125
#SPJ1
a school has 400 grade 9's, 375 grade 10's, 300 grade 11's and 325 grade 12's. twenty students from each grade are surveyed
The type of bias that can be present in stratified sampling is that the students cannot be selected to accurately reflect the population.
How are samples classified?Samples may be classified according to the five options as follows:
A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.In this problem, an equal amount of students from each class was surveyed, hence a stratified sample was used.
The type of bias present in stratified sampling is that the students cannot be selected to accurately reflect the population.
Missing InformationThe problem asks for which type of bias is present in this sample.
More can be learned about bias and sampling at https://brainly.com/question/13298621
#SPJ1
Rachel used 12 centimeters of tape to wrap 3 presents. How many presents did Rachel wrap if she used 20 centimeters of tape?
The number of wrapped present with 20 centimeters of tape is given as 5 presents.
How to solve for the wrapped presentsIn this question, we have the following values
12 centimeters of tape was used to wrap 3 presents
hence we would have
12 = 3 presents - - - - 1
Then we are to know the presents that would be wrapped with the use of 20 centimeters of tape.
we would have
20 = ? presents - - - 2
We have to bring the equations together
12 = 3 presents
20 = ? presents
? is the presents that is to be wrapped with 20 centimeters of tape. It is our unknown.
We would have to cross multiply
12 x ? = 3 x 20
12? = 60
We would have to divide through by 12 in order to get the unknown
? = 60 / 12
? = 5
Hence the number of presents that she wrapped is given as 5
Read more on Unit rates here: https://brainly.com/question/4895463
#SPJ1
Complete the table. Round percent change to the nearest tenth of a percent.
Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.
What is the percentage change on an amount?The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.
The percentage change formula is presented as follows;
[tex]\%C = \dfrac{x_2-x_1}{x_1} \times 100[/tex]Where;
%C = The percentage changex₂ = The new amountx₁ = the initial amountMaking each of the variables the subject, indicates;
The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]
[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]
[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]
The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]
The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]
The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]
Using the above formulas, the completed table is created with MS Excel and is presented as follows;
Original amount Change Percent Change New Amount
68 [tex]{}[/tex] 15 22.1 83
590 [tex]{}[/tex] -40 -6.8 550
115 [tex]{}[/tex] 20 17.4 135
120[tex]{}[/tex] -33 -27.5 87
125[tex]{}[/tex] -39 -31.2 86
163 [tex]{}[/tex] 47 28.8 210
274[tex]{}[/tex] 145.22 17.4 419.22
70 [tex]{}[/tex] -15.4 -27.5 54.6
1400[tex]{}[/tex] -1050 22.1 350
1250[tex]{}[/tex] -25 -2.0 1225
0.24[tex]{}[/tex] 0.3 125.0 0.54
Learn more about the percentage change of an amount here:
https://brainly.com/question/12865932
#SPJ1
i have an algebra 2 question asking about this: is there any pair of numbers that multiply to 36 and add up to -7? the factors of 36 are (1, 36) (2, 18) (3, 12) (4, 9) (6, 6)
There are no pair of numbers that multiply to 36 and add up to -7
How to find the factors of 36?The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.
36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.The pairs of factors of 36 that multiply to 36 are:
(1, 36) (2, 18) (3, 12) (4, 9) (6, 6)From the pair of numbers above, none add up to -7
Therefore, there is no pair of numbers whose product is 36 and sum is -7
Read more on factors of numbers:
https://brainly.com/question/219464
#SPJ1
decide whether inductive reasoning or deductive reasoning is used to reach the conclusion: "what goes up must come down. the ball went up. it will come down."
The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.
What is a deductive reasoning?The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.
The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.
In conclusion, the correct option based on the information is a deductive reasoning.
Learn more about deductive reasoning on:
https://brainly.com/question/7284582
#SPJ1
Complete the function table. Function: p = 1⁄2w + 5
brian borrowed a 20-foot extension ladder to use to paint his house. If he sets the base of the ladder six feet from the house how far up will the top of the ladder reach?
The ladder Brian borrowed for painting should go 19.08 feet up the house if Brian sets the base 6 feet from the house
How to find the distance up the house the ladder will goinformation given in the question
hypotenuse = 20-foot ladder
adjacent = 6 feet from the house
opposite = how far up the house = ?
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
20² = 6² + x²
400 = 36 + x²
400 - 36 = x²
x² = 364
x = √364
x = 19.08
The ladder Brain borrowed will go 19 feet high
Learn more on leaning a ladder here:
https://brainly.com/question/29241066
#SPJ1
Need help quick look at photo
Answer: the slope is unidentified
Step-by-step explanation:
HELP MEEEE PLEASEEEE
Answer:
24.4 km
Step-by-step explanation:
The Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse of the triangle, and a and b are the legs. Plugging in your values, we get:
20^2 + 14^2 = c^2
Simplify: 400 + 196 = c^2
Simplify again: 596 = c^2
Square root both sides to cancel out the exponent on the right: 24.4131=c
Round: 24.4
What is the image of (5,8) after the reflection over the line y=-x?
The image of (5, 8) after a reflection over the line y = - x is (-5, -8 ).
To see the graph.
Given,
In the question:
What is the image of (5,8) after the reflection over the line y= -x?
Now, According to the question:
The image of (-5,8) after a reflection over the y-axis
When a point is reflected over y axis, then the value of x changes to -x.
the value of y remains the same.
But, It is given that the reflection over the line y= -x
Hence, The image of (5, 8) after a reflection over the line y = - x is
(-5, -8 ).
Learn more about Reflection at:
https://brainly.com/question/14402024
#SPJ1
Convert 37/2 to a mixed fraction
a veterinarian visits a cat shelter housing 432 cats. of 42 randomly selected cats that she studies, she finds that 14 cats suffer from separation anxiety. of those, 10 cats were orphaned as kittens. what proportion of cats in the sample suffer from separation anxiety? round your answer to the nearest percent. responses 3% 3% 24% 24% 33% 33% 71%
The proportion of cats in the sample suffers from separation anxiety is 33%
Given 432 cats, a sample of 42 cats is taken.
Out of these 42, cats 14 are suffering from separation anxiety.
The proportion of cats suffering from separation anxiety is: 14/42
The percentage of Cats suffering from separation anxiety is:[tex]\frac{14}{42}*100[/tex]%
This is equal to 33%, rounding off to the nearest percentage value.
Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.
The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
Learn more about Sample proportions here:
brainly.com/question/24221360
#SPJ4
The proportion of cats in the sample suffers from separation anxiety is 33%
Given 432 cats, a sample of 42 cats is taken.
Out of these 42, cats 14 are suffering from separation anxiety.
The proportion of cats suffering from separation anxiety is: 14/42
The percentage of Cats suffering from separation anxiety is:(14/42)*100%
This is equal to 33%, rounding off to the nearest percentage value.
Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.
The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
Learn more about Sample proportions here:
brainly.com/question/24221360
#SPJ4
Pls help ASAP the question is in the picture
The points (2, -4), (x, y), A, and B all lie on the line.
Find an equation relating x and y. (Lesson 2-11)
An equation relating x and y is given by y = 3x/4 - 11/2.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
For the slope of this line using point AB, we have:
Slope of AB = (2 - (-1))/10 - 6)
Slope of AB = (2 + 1)/4
Slope of AB = 3/4
Since point AB and points (2, -4), (x, y) all lie on the same straight line, they would all of the same slope. Therefore, an equation relating x and y can be calculated as follows:
3/4 = (y + 4)/(x - 2)
3(x - 2) = 4(y + 4)
3x - 6 = 4y + 16
4y = 3x - 6 - 16
4y = 3x - 22
y = 3x/4 - 22/4
y = 3x/4 - 11/2
Read more on slope here: brainly.com/question/3493733
#SPJ1
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The quadratic equation 8x² + 16x + 3 = 0 can be solved by using the quadratic formula.
The given quadratic equation is : 8x² + 16x + 3 = 0
Comparing this equation with ax² + bx + c = 0 we get :
a = 8 , b = 16 and c = 3
Now we will use the quadratic formula:
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]
Now we will substitute the values in this formula to find the values of x that satisfy the quadratic equation.
[tex]{\displaystyle x={\frac {-16\pm {\sqrt {16^{2}-4\times8\times3}}}{2\times8}}}\\\\{\displaystyle x={\frac {-16\pm {\sqrt {160}}}{16}}}\\\\[/tex]
The values for x that satisfy the equation are the roots or zeros of both expressions on the left-hand side of the equation. In a quadratic problem, there can only be two possible solutions.
A problem is said to have a double root if there is only one solution. One real double root, two complex solutions that appear to be complex conjugates of one another, two real solutions, or two real solutions if all the coefficients have real values are the only options.
Hence the values of x are : [tex]-\frac{4-\sqrt{10}}{4}[/tex] and [tex]-\frac{4+\sqrt{10}}{4}[/tex].
To learn more about quadratic equation visit:
https://brainly.com/question/15265671
#SPJ1
Suzanne's average daily balance for last month was x dollars. The finance
charge was y dollars.
a. What was the monthly percentage rate?
b. What was the APR?
Part a: Monthly percent rate = y/x
Part b: APR = y/x × 12.
What is meant by the term APR?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). APR is a percentage that expresses the actual annual cost of borrowing money over the course of a loan or the income from an investment. An APR might not accurately represent the cost of borrowing but since lenders have some latitude in determining it, excluding some fees.APR and APY (annual percentage yield), a computation that takes interest compounding into account, should not be confused.For the given question;
Average daily balance sheet of Suzanne's is x dollars.
Finance charges = y
Part a: monthly percentage rate
Finance charge = Monthly percent rate × Average daily balance
Monthly percent rate = Finance charge/Average daily balance
Monthly percent rate = y/x
Part b: APR
The annual percentage rate (APR) is calculated by dividing the periodic interest rate even by number of periods in the year that it was in effect. The number of times the rate is applied to a balance is not stated.Thus,
For 12 months.
APR = y/x × 12
Thus, the value of APR for the period of 12 months is APR = y/x × 12 .
To know more about the APR, here
https://brainly.com/question/341269
#SPJ13
If 2,000 mL can fit in a certain glass jar, how many liters can fit in 4.5 of these jars?
Answer: 9,000 mL
Step-by-step explanation:
If you multiply 2,000 by 4, you would get 8,000 & if you multiply .5 by 2,000, you get 1,000. If you add both the totals, you would end up with a final answer of 9,000 mL.
Solve for X:
1/2x + 1/3x = 10
Answer:
Step-by-step explanation:
weknr f not sure
Answer:
12
Step-by-step explanation:
1/2x+1/3x=10
We simplify by making common denominator and adding them (if you don’t know how to do that please tell me)
3/6x+2/6x=10
5/6x=10
Now divide 5/6 on both sides
5/6x=10
/5/6. /5/6
x=10*6/5
x=60/5
x=12
Hopes this helps please mark brainliest
Solve the inequality 2m - 125 or 5m> -25.
Answer:
m = -5
Step-by-step explanation:
I'm not sure of the first part, but this is how to solve the second:
5m > -25
5m/5 > -25/5
m = -5
8 coins are simultaneously flipped. what is the probability that heads are showing on at most 2 of them?
The probability of favorable outcomes P(E) = 37/256
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.Given,
8 coins are faced simultaneously .
total outcomes = 2 * 2 * 2* 2 * 2 * 2 * 2 * 2
= 2⁸
= 256
favorable outcomes = 6 heads + 7 heads + 8 heads
= ⁸C₆ + ⁸C₇ + ⁸C₈
= 28 + 8 + 1 = 37
the probability of favorable outcomes =
P(E) = 37/256
Learn more about probability
brainly.com/question/11234923
#SPJ4
A. Your bed is a rectangle that is 4 feet by 6 feet wide. Draw a model of it below and label the dimensions. Find the perimeter and area of the bed. B. Dad reminds you that you keep you suitcase, a box of legos, your memory box, and your stash of snacks underneath your bed. They are all rectangle. The suitcase has a perimeter of 14 feet. The Lego box has a perimeter of 10 feet. The stash has a perimeter of 10 feet. The stash has a perimeter of 6 feet. C. Find the area and dimensions of each item under your bed
The model which model the dimensions of the bed has been attached.
The perimeter and area of the bed is 10 feet and 24 square feet respectively.The perimeter of your bed is less than the perimeter of the items, so not all items can be underneath your bed.What is the perimeter and area of the bed?Length of the rectangle = 6 feetWidth of the rectangle = 4 feetPerimeter of the bed = 2(length + width)
= 2(6 + 4)
= 2(10)
= 20 feet
Area of the bed = Length × width
= 6 feet × 4 feet
= 24 square feet
Perimeter of the suitcase = 14 feetPerimeter of Lego box = 10 feetPerimeter of memory box = 10 feetPerimeter of stash = 6 feetTotal perimeter = 14 + 10 + 10 + 6
= 40 feet
Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.
Read more on perimeter of a rectangle:
https://brainly.com/question/24571594
#SPJ1
a scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. in 1990s, the average amount of time spent playing computer games was 10.2 hours per week. is the amount of time greater than that for this year? ten students were surveyed and asked how many hours they spent playing video games. the test statistics is equal to 0.45. what is the p-value?
Using the concepts of the hypothesis test, it is found that the p-value is of 0.0007 corresponding to ten students who were surveyed and asked how many hours they spent playing video games.
At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:
H[tex]_o[/tex] = μ=10.2
At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:
H₁=μ> 10.2
Ten students were surveyed, so there are 9 df. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.
Thus, using a t-distribution calculator, the p-value of the test is of 0.0007.
Hence, when the ten students were surveyed and asked how many hours they spent playing video games and the test statistics is equal to 0.45,then the p-value is 0.0007
To know more about hypothesis test, visit here:
brainly.com/question/24166849
#SPJ4