Answer:
The correct answer is option A. A and C
Step-by-step explanation:
From the given situation above, here is the solution:
Friend A. 13 hours x $ 6.95 = $90.35 x 8 weeks = $722.80
Friend B. 15 hours x $ 5.85 = $87.75 x 8 weeks = $702
Friend C. 18 hours x $ 5.25 = $94.5 x 8 weeks = $756
Friend D. 11 hours x $ 7.80 = $85.8 x 8 weeks = $686.40
Therefore, the individuals who reached their goal of saving $720 for a vacation are friend A and friend C. The correct answer is option A. A and C.
Answer:
The correct answer is A. A and C
Step-by-step explanation:
five thousand two hundred sixty-seven. standard form
Answer:
5,267
Step-by-step explanation:
Five thousand: 5,000
Two hundred: 200
Sixty: 60
Seven: 7
Put them together: 5,267
Five thousand two hundred sixty-seven in standard form is 5,267.
Standard form is the way of written down number in simplest form.
Five thousand=5,000
Two hundred=200
Sixty=60
Seven=7
Hence:
Standard form=5,000+200+60+7
Standard form=5,267
Inconclusion five thousand two hundred sixty-seven in standard form is 5,267.
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Alisha has sixty-seven dollars and thirty one cents in her checking account. She wrote a check for ninety-one dollars and fifty-three cent to pay her electric bill. How much money will her account be overdrawn?
jess purchased a full tank of gas on thursday.on friday,he took a road trip and used 1/2 of the tank.on saturday,he did some errands and use an 1/3 additional of the tank.how much gas does jess have left?
Answer:
1/3 of the gas.
Step-by-step explanation:
1 - 1/2 = 1/2
1/3 - 3/3 = 2/3
2/3 ( 1/2 ) = 1/3
The amount of gas left with Jess is given by the equation A = 1/6 of the total gas
What is an 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.
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 data ,
Let the total amount of the gas be represented as A
Now , the equation will be
The amount of gas utilized by Jess on Friday = 1/2 of the initial gas
So , The amount of gas left on Friday = A - ( 1/2 ) A
On simplifying the equation , we get
The amount of gas left on Friday = ( 1/2 )A
Now ,
Amount of gas utilized by Jess on Saturday = ( 1/3 ) of the remaining gas
On simplifying the equation , we get
The remaining gas = ( 1/2 ) A - ( 1/3 ) A
So , the remaining amount of gas with Jess = ( 1/6 ) of the total gas
Hence , the equation is ( 1/6 ) of the total gas is remaining
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Hey any oneill give brainleast please help me
Answer:
8
Step-by-step explanation:
So we have the expression:
[tex](-\frac{11}{2}x+3)-2(-\frac{11}{4}x-\frac{5}{2})[/tex]
First, distribute the right:
[tex]=(-\frac{11}{2}x+3)+(\frac{11}{2}x+5)[/tex]
Combine like terms:
[tex]=(-\frac{11}{2}x+\frac{11}{2}x)+(3+5)[/tex]
The fractions will cancel:
[tex]=3+5[/tex]
Add:
[tex]=8[/tex]
Our answer is 8 :)
Answer:
8
Step-by-step explanation:
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university. Assume that the proportion of students who own a cell phone at this university is the same as nationwide. Let X = the number of students in the sample of 15 who own a cell phone.
1. What is the appropriate distribution forX? **N = Normal, B = Binomial?
A. X is M(15, 0.9).
B, X is B(15, 09).
C. Xis B(15, 13.5).
D. Xis N(13,5, 1.16).
2. On average, how many students will own a cell phone in a simple random sample of 15 students?
a. 9.
b. 13
c. 13.5.
d. 14 17.
3. What is the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students?
a. 0.077.
b. 0.09.
c. 1.16.
d. 1.35.
4. What is the probability that all students in a simple random sample of 15 students own a cell phone?
a. 0.
b. 0.1.
c. 0.206.
d. 0.9.
Complete Question
The complete question is shown on the uploaded image
Answer:
1 ) The correct option B
2) The correct option is C
3) The correct option is C
4) The correct option is C
Step-by-step explanation:
From the question we are told that
The proportion that own a cell phone is [tex]p = 0.90[/tex]
The sample size is n = 15
Generally the appropriate distribution for X is mathematically represented as
[tex]X \ is \ B( n , p )[/tex]
So
[tex]X \ is \ B( 15 , 0.90 )[/tex]
Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as
[tex]\mu = n * p[/tex]
[tex]\mu = 15 * 0.90[/tex]
[tex]\mu = 13.5[/tex]
Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as
[tex]\sigma = \sqrt{ n * p * q }[/tex]
Where q is mathematically evaluated as
[tex]q = 1- p[/tex]
[tex]q = 1- 0.90[/tex]
[tex]q = 0.10[/tex]
[tex]\sigma = \sqrt{ 15 * 0.90 * 0.10 }[/tex]
[tex]\sigma = 1.16[/tex]
Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as
[tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}[/tex]
[tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}[/tex]
From the combination calculator is [tex]\left 15} \atop {}} \right.C_{15} = 1[/tex]
[tex]P(X = 15) = 1 * 0.205891 * 1[/tex]
[tex]P(X = 15) = 0.206[/tex]
The appropriate distribution for X is M(15, 0.9).
On average 1.345 students will own a cell phone in a simple random sample of 15 students.
The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.
The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.
Given that,
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years.
It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university.
Assume that the proportion of students who own a cell phone at this university is the same as nationwide.
According to the question,
Let X = the number of students in the sample of 15 who own a cell phone.
1. The appropriate distribution for X is,
the sample size is n equals 15 and the proportion of the cell phone is 90% = 0.9.
The appropriate distribution for X is M(15, 0.9).
2. On average students will own a cell phone in a simple random sample of 15 students is,
[tex]\mu = n \times p\\\\\mu = 15 \times 0.9\\\\\mu = 1.345[/tex]
On average 1.345 students will own a cell phone in a simple random sample of 15 students.
3. The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is,
[tex]\rm \sigma = \sqrt{n \times p \times q}\\\\\sigma = \sqrt{n \times p \times (1-q)}\\\\\sigma = \sqrt{15 \times 0.9 \times (1-0.9)}\\\\\sigma = \sqrt{15 \times 0.9 \times 0.1}\\\\\sigma = 1.16[/tex]
The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.
4. The probability that all students in a simple random sample of 15 students own a cell phone is,
[tex]\rm P(X=15) = 15_C_{15} \times p^{15} \times q^{15-15}\\\\P(X=15) = 1 \times (0.90)^{15 }\times (0.10)^0\\\\P(X=15) = 1 \times 0.206\times 1\\\\P(X=15) = 0.206[/tex]
The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.
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(b) Heera sold a pen at the loss of 15%. Had she sold it in Rs. 3 more, she should have 5%
profit. What would be the cost price of the pen? Find it.
Answer:
Cost price= Rs. 15
Step-by-step explanation:
Please see attached picture for full solution.
What are the solutions to the equation 0=x squared- x-6
Answer:
Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).
The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
The two solutions are therefore, x = 3 and x = -2.
To convert kilograms to grams, you can use the ratio
1,000 grams / 1 kilogram
true or false
Answer:
True
Step-by-step explanation:
1000 grams = 1 kilogram
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Answer:
[tex](g \: \circ \: f)(0) = 17[/tex]Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
[tex](g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\ = 4(4 {x}^{2} + 16x + 16) + 1 \\ = {16x}^{2} + 64x + 16 + 1[/tex]We have
[tex](g \: \circ \: f)(x) = {16x}^{2} + 64x + 17 \\ [/tex]Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
[tex](g \: \circ \: f)(0) = 16( {0})^{2} + 64(0) + 17 \\ [/tex]We have the final answer as
[tex](g \: \circ \: f)(0) = 17[/tex]Hope this helps you
1/3 plus 4/7 divided by 3/10
Answer:
47/21
Step-by-step explanation:
[tex]\frac{1}{3} + \frac{4}{7} \div \frac{3}{10} \\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{3}+\frac{4}{7}\times \frac{10}{3}\\\\\frac{4}{7}\times \frac{10}{3}=\frac{40}{21}\\=\frac{1}{3}+\frac{40}{21}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:21:\quad 21\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{7}{21}+\frac{40}{21}\\\\=\frac{7+40}{21}\\\\=\frac{47}{21}[/tex]
12.) When rounding to the nearest 10, what is the largest number that will
round to 30?
a.) 31
b.) 34
c.) 21
d.) 25
Find the pattern and use inductive reasoning to predict the next number in the sequence 5,5,10,30,120,…
Answer:
afdgdfdf
Step-by-step explanation:
Answer:
its going up by 1 each time theres a new number so next youll multiply 4 by 120 which is 480
Step-by-step explanation:
Determine whether the variable is qualitative or quantitative. Explain your reasoning. favorite city
Answer:
Qualitative variable.
See explanation below.
Step-by-step explanation:
In research we have two types of variables: the quantitative and the qualitative variables.
A quantitative variable is a variable that is a number, for example: age, height, number of years of school. These type of variables are only numbers.A qualitative variable is a variable that is not a number but rather a category of data. For example: your name, your gender, your favorite food. All these examples are not numbers but categories.In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.
-13 can be classified as a whole number, interger, or rational number
Answer:
Step-by-step explanation:
Actually, -13 can be classified as any and all of these.
Answer:-13 would be considered a rational number :)
Step-by-step explanation:
Only positive numbers are considered as whole numbers, so we know that that is not a correct option, and an integer is any number that is not either a decimal or a fraction. Hope this helps :)
Question in the picture please help me.
Answer:
1) [tex]50=2(x+5)+2(x)[/tex]
2) [tex]x=10[/tex]
3) [tex]15\text{ units}[/tex]
Step-by-step explanation:
So we know that the perimeter of the rectangle is 50.
The formula for the perimeter of a rectangle is given by:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
The length is (x+5) and the width is (x).
Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:
[tex]50=2(x+5)+2(x)[/tex]
And that's our equation.
To solve, first distribute:
[tex]50=2x+10+2x[/tex]
Combine like terms:
[tex]50=4x+10[/tex]
Subtract 10 from both sides:
[tex]40=4x[/tex]
Divide everything by 4:
[tex]x=10[/tex]
So, the value of x is 10.
The length is the longer side. Thus, it is (x+5).
We now know that x is 10, substitute:
[tex]x+5\\=(10)+5\\=15[/tex]
So, the length is 15 units.
Answer:
Below
Step-by-step explanation:
The perimeter of a rectangle is the sum of its 4 sides.
Let P be the perimeter
● P = x + (x+5) + x + (x+5)
● P = x+x+x+x+5+5
The perimeter is 50 units
● 50 = 4x +10
So this the equation that would model how to find x.
Let's solve it
● 4x + 10 = 50
Substract 10 from both sides
● 4x + 10 - 10 = 50-10
● 4x = 40
Divide both sides by 4
● 4x/4 = 40/4
● x = 10
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's find the length.
The length is x+5
Replace x by 10 to find the value of the length.
● 10 + 5 = 15
So the length is 15 units
In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If the total number of books is 220, how many maths books are there?
Answer:
60 maths books
Step-by-step explanation:
Let the following be:
Maths books = mScience books = sHistory books = hAnd we have ratios and sum:
m/s = 3/2s/h = 1/3m+s+h = 220From the ratios we get:
m = 3s/2h= 3sConsidering the above in the sum of books:
m+s+h = 2203s/2 + s + 3s = 2203s + 2s + 6s = 2*22011s = 440s = 440/11s = 40Number of maths books:
m = 3s/2 = 3*40/2 = 608 limes =$2.00
you have $5. How much change would you receive after purchasing 12 limes
Dilating point A using center C and scale factor 2.5 gives image A'. Dilating point B using center C and scale factor 2.5 gives image B'. What can you say about line AB and line A'B' ?
Answer:
a+b=C
Step-by-step explanation:
because a b c
523 x = 523 x = last one
Answer:
X has an infinite number of solutions
or
0 = 0
Step-by-step explanation:
Hey there!
Given,
523x = 523x
Simplify
523x = 523x
-523x to both sides
0 = 0
So x has an infinite number of solutions.
Hope this helps :)
1 3 9 10 TIME REI 25: Consider the function y = asin(bx), where a > 0 and b>0. Which change compresses the graph vertically?
Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.
Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.
The value of b determines the period of the sinusoidal function.
P=2(I+w) when solved for w
Answer:
w = p/2 - l
Step-by-step explanation:
When a question asks to be solved by a variable it means to get that variable on one side.
To do this lets first divide each side by 2 making the equation now ...
(l + w) = p/2
Now all we have to do is subtract l on both sides. Now we know that
w = p/2 - l
What is the smallest integer greater than the square root of 22
Answer:
Square: 484 Square root: 4.690
Jason states that -5.0 is not an integer because it is a decimal. Is he correct? Why or why not?
Answer:
The answer is No, he's incorrect
Step-by-step explanation:
Because -5.0 is still -5 so therefore it makes -5.0 an integer
One-half of the sum of 3 times v and twenty-eight
Need help writing this in expression form please
Answer:
(1/2)(3v+28)
Step-by-step explanation:
of= multiply
sum= add
Could it be (3v +28)/2
Suppose at your birth your parents bought you a savings certificate that had a locked-in interest rate, compounded continuously. All you know is that the value of the certificate was $1,866.79 when you were 9 years old and $3,350.87 when you were 18. How much did your parents put into the certificate at your birth?
a) $1, 020.
b) 8960.
c) $1, 040.
d) 8980.
Answer:
Option C : P = $1040
Step-by-step explanation:
Using formula for continuous compounding, we have;
FV = Pe^(rt)
Where;
FV is the future value
P is the starting principal
r is the interest rate
t is time period
Now, from the question;
After 9 years, value is 1,866.79
Hence;
Pe^(9r) = 1,866.79 - - - eq1
Also, after 18 years;
Pe^(18r) = $3,350.87
Now, from exponential functions,
e^(4) can be written as (e^(2))²
Thus,in our case, e^(18r) can simply be written as (e^(9r))²
Thus, we can write Pe^(18r) = $3,350.87 as;
P(e^(9r))² = 3,350.87 - - - eq3
Thus, dividing eq 1 by eq 3 gives;
P(e^(9r))²/Pe^(9r) = 3350.87/1866.79
e^(9r) = 1.794990331
So;
In 1.794990331 = 9r
r = 0.585/9
r = 0.065
Putting this for r in equation 1 gives;
Pe^(9 × 0.065) = 1,866.79
1.795P = 1,866.79
P = 1866.79/1.795
P = $1040
f(x) = -4x - 3
Evaluate f(9) + f(5)=
Evaluate f(9) + f(5)= 14f If I didn't answer Your Question fully than tell me please!
To solve the following equation for X, which operation will you need to perform? X + 2 = 5 Question 1 options: Add 2 Subtract 2 Multiply by 2 Divide by 2
Answer:
subtract 2
Step-by-step explanation:
Answer: subtract 2
Step-by-step explanation: 5-2=3
3+2=5
what is 4+2+-8+-6?
Answer:
-8
Step-by-step explanation:
+-8 = -8
+-6 = -6
then:
4 + 2 + -8 + -6 = 4 + 2 - 8 - 6 = 6 - 14
= -8
Answer:
-8
Step-by-step explanation:
Simplify: 4 + 2 - 8 - 64 + 2 = 6Plug 6 in: 6 - 8 - 66 - 8 = -2Plug -2 in: -2 - 6-2 - 6 = -8Therefore, the answer is -8.
jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.
Answer:
Kathy = J - 5 cm
Step-by-step explanation:
Jo = 5 + Kathy
Jo = J
Kathy = K
=> J = 5 + K
=> J - 5 = 5 - 5 + K
=> J - 5 = K
=> K = J - 5
So, Kathy's height is J - 5 cm
You have five pieces of wood. The lengths of these are shown below.
325 cm
4.04 m
73 cm
1.6 m
2.87 m
What is the total length of the wood?
Answer:
1,249 cm or 12.49
Whichever one it asks for
Step-by-step explanation:
First, we need to convert all of the m to cm.
4.04 m = 404 cm
1.6 m = 160 cm
2.87 m = 287 cm
Next, add them all up.
325 + 404 + 73 + 160 + 287 =
1,249 cm
If it asks to convert to m again, then the answer would be 12.49 m
Hope this helps!!!
Answer:
1,249 cm (or) 12.49 m
Step-by-step explanation:
1m = 100cm
4.04m = 404cm
1.6m = 160 cm
2.87m = 287 cm
So, 325 + 404 + 73 + 160 + 287 = 1,249 cm
If u want the answer in meters, [tex]\frac{1249}{100}[/tex]
So, it will be 12.49 m