Answer:
a) The sample proportion is 0.06.
b) The test statistic is z = -1.89.
c) 0.0294
d) 0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 0.1[/tex]
The alternate hypotesis is:
[tex]H_{1} < 0.1[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
a. Calculate the sample proportion p.
200 potatoes, 12 defective.
This means that [tex]p = \frac{12}{200} = 0.06[/tex]
The sample proportion is 0.06.
b. Calculate the test statistic.
For a proportion p, we have that:
[tex]\sigma = \sqrt{p(1-p)}[/tex]
In this question, since [tex]\mu = 0.1[/tex]
[tex]\sigma = \sqrt{0.1}{0.9}[/tex]
SRS of 200 means that [tex]n = 200[/tex]
[tex]H{0} = 0.1[/tex] means that [tex]\mu = 0.1[/tex]. So
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.06 - 0.1}{\frac{\sqrt{0.1*0.9}}{\sqrt{200}}}[/tex]
[tex]z = -1.89[/tex]
The test statistic is z = -1.89.
c. Find the p-value.
Looking at the z-table, [tex]z = -1.89[/tex] has a pvalue of 0.0294, which is the pvalue of this hypothesis test.
d. Given α=0.05 what is your conclusion? Should he reject the shipment?
0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.
Trevor wants a life insurance policy with a cash feature and one he can change the death benefits of without having to get a new policy. What type of policy best fits this scenario
Answer:
un death somthing
Step-by-step explanation:
Juan saved x dollers last month. This month he saved $8 more than 3 times the amount he saved last month. he saved a total of $141how much did he save last month
Answer:
39
Step-by-step explanation:
You take 141 and divide it bye 3. Then you get 47 then subtract 8. Hope this helps!
Helppppppp show your work
Answer:
No solution
Step-by-step explanation:
x+5x+4=3(2x-1)
First off, rearrange:
6x+4=6x-3
The '6x's cancel out (4=-3, incorrect), which means the equation has no solution.
WRITE THE PRODUCT AS THE PRODUCT OF A
WHOLE NUMBER AND A UNIT FRACTION
2 x 5/8
Answer:
Step-by-step explanation:
When you multiply a whole number by a fraction, you multiply the whole number by the numerator (top) of the fraction and you end up with an improper fraction. This question simply wants you to multiply the whole number by the numerator, then multiply that whole number by the remaining fraction.
= 4 * 2/6
multiply 4 by the numerator
=(4*2)/6
multiply 4*2 then separate from the remaining 1/6 fraction
=8 * 1/6
ANSWER: 8 * 1/6
Hope this helps! :)
Help me with this question
Please I need help
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
Marc throws a ball out of a second story window The path of the ball is shown on the graph
Answer:
I cant help you theres no graph sorry
Step-by-step explanation:
Find the value of X in the equation below:
X/9 = 3.9
Answer:
35.1
Step-by-step explanation:
We can multiply both sides by 9 to get x=35.1
Step-by-step explanation:
x/9=3.9
x=3.9*9
x=35.1
The question above...
Answer:
I think that its C
Step-by-step explanation:
I think it might be c because the two smaller(11,7) sides must add up to be longer than the longest side(18).And it would be the same length as the longest side,which means you wont be able to construct the triangle. (Eh my explanation wasnt that good but it is what it is)
Answer:
the answer I would say is ether B or C
Step-by-step explanation:
hope that helps
What property will you use to solve this equation;
19+n=30
Answer:
i think its multiplication property of equality
Step-by-step explanation:
19 + n = 30
19 + n - 19 = 30 - 19
n = 11
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Larger number:
0
Smaller number: 0
Х
5
?
Exp
Recheck
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O
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers
What expression does this set of algebra tiles represent?
+
1
1
x²
xx
1
1
1
1
Combine like terms. For example, write 3 instead of 1 + 1 + 1.
giving brainliest!
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is donest to the total suratace area
of the can in square centimeters?
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Agenda:
r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formluas:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!
Answer:
Step-by-step explanation:
x + (180-140) + (180-132) = 180
x = 92°
Plzz help mee!
What are the dimensions of the base of the pyramid?
A. 8ft by 6ft
B.8ft by 3ft
C.6ft by 3ft
D. 8ft by 9ft
Answer:
B. 8ft by 3ft
Step-by-step explanation:
It tells you in the picture, the 8 ft and 3 ft are on the sides of the base.
(c) Here are two numbers.
15 21
Craig says,
“Both of these number can be written as the product of two prime numbers."
Is Craig correct?
You must show how you get your answer.
(4)
Answer:
Yes
Step-by-step explanation:
15 = 3*5
21 = 7*3
3, 5 and 7 are all prime numbers.
HURRY PLEASE!! I WILL GIVE BRAINLIEST
Answer:
1/64
Step-by-step explanation:
1/64=(1/8)^2
1/64=(1/4)^3
Answer:
25
Step-by-step explanation:
Need help please. What is the area of the shaded region. Thank you so much.
Answer:
[tex]Area = 8\ unit^2[/tex]
Step-by-step explanation:
Given
The 7 * 3 grid
Required
Determine the area of the shaded
From the grid, 4 cells on 2 rows were shaded.
Since 1 grid cell = 1 unit.
The area is:
[tex]Area = 4\ unit * 2\ unit[/tex]
[tex]Area = 8\ unit^2[/tex]
Two quantities are proportional if they vary and have a constant ratio or unit rate.
O True
O False
Please only answer if you know the answer
if chase has 4 times as many nickels as dimes and they have a combined value of 180 cents .how many of each coin does he have ?
[tex]log10(3 \times 2)[/tex]
Answer:
log3 (2) = 0.630929754
Step-by-step explanation:
Retama Park offers a Superfecta bet, in which you predict the exact order of the top four finishers. If there are 8 horses, find the number of possible ways to pick the Superfecta.
Someone please help me answer this!!
Answer:
4
Step-by-step explanation:
because 7=3+4, so x=4 to make it 7
What is the x-coordinate of the solution to the following system of equations? Use
the graphing method:
y = 2x - 6
y = -1/2x + 4
A. x=-2
B. x=4
C. x=-4
D. x=2
Answer:
B. x=4
Step-by-step explanation:
if you're in k12
It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. A random sample of 25 customers is selected. Assume that customers' purchases are made independently, and let X represent number of customers who purchase running shoes. Find the probability distribution of X. Group of answer choices Geometric distribution None of the given distributions Binomial distribution Hypergeometric distribution Negative Binomial distribution Poisson distribution
Answer:
Binomial distribution
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they purchase a pair of running shoes, or they do not. Customers' purchases are made independently. This means that the probability distribution of X is the binomial probability distribution.
The sum of - 6a and 7a is - 31
Answer:
a = -31
Step-by-step explanation:
According to the question,
-6a + 7a = -31
a = -31
What does X and Y equal?
Answer:
X= 67
Y= 6
Step-by-step explanation:
Triangle TRU is an equilateral triangle which means all sides are equal.
Triangles sum up to 180°.
180/3= 60
60+7= 67
x=67
Triangle TRS is an isosceles triangle which means it has two equal sides.
Triangles sum up to 180°.
180-60= 120
TRS= 120°
60/2= 30°
RTS= 30°
RST= 30°
30/5= 6
y= 6
SA = 2tr2 + 2trh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.
Answer:
[tex]SA=61.26\ \text{inches}^2[/tex]
Step-by-step explanation:
The surface area of a cylinder is given by :
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where
r is radius and h is height of the cylinder
We have, h = 5 inches and r = 3/2 = 1.5 inches
Put all the respected values.
[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]
So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].
Answer:
Answer: 61.23 / {I'm right trust me Acellus 2022}
Step-by-step explanation:
how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches
A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student’s work correct? one-third more than the product of four and a number; evaluate when g = one-fourth The expression is StartFraction 4 Over g EndFraction + one-third; for g = one-fourth. StartFraction 4 Over 1 EndFraction divided by one-fourth + one-third = StartFraction 4 Over 1 EndFraction times StartFraction 4 Over 1 EndFraction + one-third = 16 + one-third = 16 and one-third. Yes, the student’s work is correct. No, the student divided the fraction incorrectly No, the student made an error when substituting. No, product means multiplication, and the student wrote a division expression.
Answer:
No, product means multiplication, and the student wrote a division expression.
D
Step-by-step explanation:
At medieval lake 12% of people have red hair if there is a total of 150 people how many them do not have red hair
Answer:
132
Step-by-step explanation:
PLEASE HELP!!!! The problem is in the photo below.