Answer:
We conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Step-by-step explanation:
We are given that a researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Let [tex]\mu[/tex] = mean weight of cereal in its 18-ounce boxes.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18 {mean that the mean weight of cereal in its 18-ounce boxes is equal to 18 ounces}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 18 {mean that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces}
Also, it is given that the P-value is 0.01 and the level of significance is 0.05.
The decision rule based on the P-value is given by;
If the P-value of our test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.If the P-value of our test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.Here, clearly our P-value is less than the level of significance as 0.01 < 0.05, so we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.
Therefore, we conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 4x+4\leq9x+84x+4≤9x+8
Answer:
x ≥ -4/5
Step-by-step explanation:
Maybe you want to solve ...
4x+4 ≤ 9x +8
0 ≤ 5x +4 . . . . . subtract 4x+4
0 ≤ x +4/5 . . . . . divide by 5
-4/5 ≤ x . . . . . . . subtract 4/5
Answer:
x ≥−4/5
Step-by-step explanation:
hi! i need to know the cube root of minus one!! just let me know down there!
Answer:
[tex]\large \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{-1}[/tex]
Apply radical rule:
[tex]\sqrt[n]{-1}=-1[/tex]
If [tex]n[/tex] is odd.
[tex]\sqrt[3]{-1}=-1[/tex]
one day shahed was playing with numbers.He wrote 15 fractions using all natural numbers from 1 to 30 exactly once-either as numerator or as denominator.How many of these fractions are most is integers.
Answer:
15
Step-by-step explanation:
half of 30 is 15
he used all the numbers upto 30 once
all the numbers in between arent integers but decimals
The perimeter of a rectangle is 62 cm. The diagonal and width of the rectangle are 25 cm and x cm respectively.
Form a quadratic equation in terms of x based on the situation.
Step 1:
62cm - (25*2)=12cm
62-25=37cm
Length for both sides 25
Width=37cm=x
Please help me with this problem....5 stars 1 thanks and depending on how you answer brainiest.
Answer:
[tex]\huge\boxed{Probability = \frac{1}{3} }[/tex]
Step-by-step explanation:
Total Magazines = 3
Woman's Day = 1
Probability = No. of Favorable Outcomes / Total no. of Outcomes
Probability = [tex]\frac{1}{3}[/tex]
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
There are three choices for Mrs. Stanton. One of the three choices is the Women's Day magazine. Thus, 1 out of 3, or 1/3 of the choices are Women's Day.
Hope it helps <3
i need help please i give 5 stars ;(
Answer:
D. [tex]\sqrt{\frac{2*2*2*2*3}{5*5*7} }[/tex]
Step-by-step explanation:
48 divided by 2 is 24. Insert the 2.
24 divided by 2 is 12. Insert the 2.
12 divided by 2 is 6. Insert the 2.
6 divided by 2 is 3. Insert the 2 and 3:
[tex]48=2*2*2*2*3[/tex]
175 divided by 5 is 35. Insert the 5.
35 divided by 5 is 7. Insert the 5 and 7:
[tex]175=5*5*7[/tex]
:Done
what are two ways of determining the distance between two points
Answer:
The linear distance between the two points is the square root of the sum of the squared values of the x-axis distance and the y-axis distance. To carry on the example: the distance between (3,2) and (7,8) is sqrt (52), or approximately 7.21 units.
Step-by-step explanation:
Answer:
Step-by-step explanation:
distance formula and pythagorean formula
A man bought a car for 15000GH cedis . He later sold it at a profit of 25% .What was his selling price.
Answer:
3750 GH cedis
Step-by-step explanation:
Step-by-step explanation:
100%=15000GH cedis
125%=?
125×15000/100
18750GH cedis
On a number line if point A lies -3 and point B lies on 4, what is the length of AB
Answer:
7
Step-by-step explanation:
4-(-3)=
4+3=
7
Answer:
7
Step-by-step explanation: take the absolute value of both numbers and add them together so -3 becomes 3 and 4 stays the same they add up to 7.
How many solutions does the system have? y=-5x+1 y=1-5x
Answer:
infinite solutions
they're the same equation lmao
Answer:
Infinitely many solutions
because it is the correct answer
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answer:
x-3 is cancelled and just one remains in numerator.
A car start from rest . If the acceleration of the car is 0.2m/s^2, what will be it's velocity at the end of 3 minutes?And what distance will it cover at that time?
Answer:
a=v-u÷t
0.2=v-0÷180
0.2×180=v
36=v
PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
use determinants to find the area of the parallelogram shown below
Answer:
30
Step-by-step explanation:
To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use
[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get
[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to
[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]
A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?
A) 768 B) 770 C) 772 D) 774
Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
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https://brainly.com/question/24131141?referrer=searchResults
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $67,200
C. $68,000
D. 5,440
Answer:
Option A, $65,280Step-by-step explanation:The volume of the tank is,12×20×15+40×(50-15)×12= 3600+16800=20400 cubic metersFor each cubic meter, ... More
In Isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm. long. a. If the perimeter is 76 cm. find the lengths of AB and CD. b. If the height of the trapezoid is 12 cm. find its area. (Hint: Area
otal perimeter = 76cm = AB + BC + CD + AD
AD & BC = 13cm
AB = 1.5*(CD)
Solution:
Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation
76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC
76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms
76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides
50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB
50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation
50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5
20cm+=+CD
To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)
AB+=+1.5%2A20cm
AB+=+30cm
The sum of two numbers is 71648.one of the number is 7 times the other.find the numbers
Answer
8956
explanation step by step
Answer: numbers are 8956 and 62692
Step-by-step explanation:
Let the numbers be x and 7x
ATQ
x + 7x = 71648
8x = 71648
x = 71648/8
x = 8956
Therefore the numbers are 8956 and 62692 respectively
please click thanks and mark brainliest if you like :)
A sum of $46875 was lent out at simple interest and at the end of 1 yr 8 month, the total amount was $50000. Find the rate interest per year.
Answer:
4%
Step-by-step explanation:
As indicated in the question, this is a simple interest question.
The formula for Simple Interest =
I = Principal × Rate × Time
In the above question, we were given the following values.
A = Total value / amount of money = $50000
Principal = $46875
Rate = ??
Time = 1 yr and 8 months
= 1 year +(8/12)
Time = 1.6666666667 years
We are asked to solve for the rate interest per year. Hence, the formula to use to solve this question is given as:
r = (1/t)(A/P - 1)
r = (1/1.6666666667)(50000/46875 - 1)
r = 0.04
Converting to percentage, rate = 0.04 × 100 = 4%
Therefore, the rate interest per year is 4%
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
WikiTongues has
videos of 500 different
languages from around the
world. What percent of the
7,111 total languages
spoken globally
is represented on
WikiTongues?
Hey there! I'm happy to help!
We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.
500=7,111p
Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.
7,111p=500
We divide both sides by 7,111.
p=0.0703
As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.
I hope that this helps! Have a wonderful day! :D
Answer:
7.03 %
Step-by-step explanation:
500 / 7,111 = 0.07031359865
0.07031359865 x 100 = 7.03 %
what is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?
Answer:
-16, 0 real solutions. (Complex Roots)
Step-by-step explanation:
[tex]5x^2-2x=-1\\5x^2-2x+1\\A=5\\B=-2\\C=1\\(-b±√(b^2-4ac))/2a\\=\\=-2^2-4(5)(1)\\=4-20\\=-16[/tex]
what is the value of x
Answer:
-10
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Find the distance between (0,3) and (0,-6).
A. 9
B. -9
C. -3
D. 0
simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)
Answer:
[tex]\huge \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex](5xe^2 - 3x) - (5xe^2 - 3x+1)[/tex]
Distribute negative sign.
[tex]5xe^2 - 3x- 5xe^2 +3x-1[/tex]
Combine like terms.
[tex]0xe^2 +0x-1[/tex]
[tex]0-1=-1[/tex]
8. PLEASE HELPP!! Find the area of the shaded sector. Leave your answer in terms of .
Answer:
Area of a complete circle = PI * r^2
The shaded area is 1/3 of the circle so
Area = (PI * 9^2) / 3
Area = (254.4690049408) / 3
Area = 84.8230016469
Area = 84.82 square feet (rounded)
Step-by-step explanation:
Which could be the first step in simplifying this expression? Check all that apply.
Answer:
[tex](x^{-3})^2[/tex]
Step-by-step explanation:
applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents
A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
The city school district is considering increasing class size in the elementary schools. However, some members of the school board are concerned that larger classes may have a negative effect on student learning. In words, what would the null hypothesis say about the effect of class size on student learning?
Answer:
The null hypothesis would say that class size has no effect on students learning.
Step-by-step explanation:
Null hypothesis is a type of hypothesis that is used in statistics which proposes that there is no difference between a certain characteristic of a population or the data - generating process.
Now, in this question,the school district is considering increasing class size in the elementary schools but we want to check whether larger classes may have a negative effect on students learning.
Thus, the null hypothesis would reject this claim of larger classes having negative effect on students and say that class size has no effect on students learning.