Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:
[tex]H_0: p = 0.6[/tex]
The alternate hypothesis is:
[tex]H_1: p > 0.6[/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.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = \sqrt{0.6*0.4}[/tex]
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that [tex]n = 100, X = \frac{70}{100} = 0.7[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}[/tex]
[tex]z = 2.04[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
What is the volume of the right rectangular prism, in cubic centimeters?
Vx
9 cm
3 cm
4 cm
cubic centimeters
©
Answer:
108 cm³
Step-by-step explanation:
Formula: V = w×h×l
Solution: V = whl = 4·3·9 = 108
Hence, the answer is 108 cm³
Help me plz plz plz plz plz plz plz plz plz plz plz plz plz :(
A garden store purchased a lawn mower and marked it up 160% from the original cost of $82.67. A week later, the store placed the lawn mower on sale for 10% off. What was the discount price?
Answer:
193.45
Step-by-step explanation:
The discount price is $69.4428.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A garden store purchased a lawn mower and marked it up 160% from the original cost of $82.67.
So, the Marked up amount
= 160 % of 82.67
= $132. 272
and, then 10% discount
= 10% of 132.272
= 13.2272
so, the discount price = 82.67 - 13.2272 = $69.4428
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A local eat-in pizzeria wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 37 minutes. The owner has randomly selected 15 customers and delivered pizzas to their homes. What hypotheses should the owner test to see whether that the pizza delivery will be successful
Answer:
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
Step-by-step explanation:
The limit average time is 37 minutes. Therefore under that value, the owner is happy. From the sample we have:
Sample size n = 15
we have data from delivery times then we have the mean x of the sample and standard deviation of the sample s
We assume normal distribution and as n < 30 test should be developed with t - student distribution.
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
A system consists of two independent components in parallel. The system works if at least one of the components works. If each component works with probability 0.65, what is the probability that the system works
Answer:
The probability that the system works is 87.75%.
Step-by-step explanation:
Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:
1 - 0.65 = 0.35
0.35 x 0.35 = X
0.1225 = X
1 - 0.1225 = 0.8775
Therefore, the probability that the system works is 87.75%.
Melissa started a game at 5:06 PM and finished it at 6:32 PM.
How long did it take her? Give your answer in hours and minutes.
Answer:
1 hour 26 minutes
Step-by-step explanation:
Mr. Chasse bought 4 tires for $112.50 each. Including a sales tax of 6%, what was the total cost for the 4 tires?
Answer:
720??
Step-by-step explanation:
20 points someone please help me asap???
Answer:
yesss
Step-by-step explanation:
juan and jose are in charge of buying candy for pinatas. Each pinata will hold 6 pounds of candy how many puonds of candy will they need to fill 12 pinatas
Answer:
75.36
Step-by-step explanation:
bc it sinple math if you think about it
Plzzzzz help for a brainly
Answer:
Circle
Step-by-step explanation:
The horizontal cross section of a cylinder is a circle
Answer:
Circle
Step-by-step explanation:
The horizontal cross section is a circle. If we slide the figure in half, the shape it would show is a circle.
If you have any questions, comment!!
Hope this helped!! :)
What is the value of the expression of x=5 6x^3 +8x
Answer:
790
Step-by-step explanation:
Substitute the value (x = 5) into the following expression, replace the parameter (x) with the value (5) wherever the parameter (x) is present,
[tex]6x^3+8x[/tex]
[tex]6(5)^3+8(5)[/tex]
Simplify use the order of operations. The order to operations is the system of steps that one uses to solve an equation, these steps are the following,
1. Parenthesis
2. Exponents or Radicals
3. Multiplication or Division
4. Addition or subtraction
Quick note, a number to any exponent is equal to the number times itself the number of times the exponent indicates.
Use these steps to simplify the given expression,
[tex]6(5)^3+8(5)\\\\=6(125)+8(5)\\\\=750+40\\\\=790[/tex]
What does area mean? When you are asked to find the
area what are you doing?
Answer:
you want to muliply the length and width to find area.
Step-by-step explanation:
if 2(a-3)=3(a+2) then a =6
Answer:
No, a=-12
Step-by-step explanation:
To solve this, you have to use the distributive property. 2(a-3) is going to be equal to 2a-6 and 3(a+2) is going to be equal to 3a+6. This will make the equation 2a-6=3a+6. You add 6 from both sides to isolate a. This will make the equation 2a=3a+12. Subtract 3a from both sides to get -a=12. You want to isolate a so you have to divide both sides by -1. This will make the equation a=-12.
If this has helped please mark as brainliest
Rachel started a race at 8:35 AM and finished it at 9:14 AM.
How long did it take her? Give your answer in minutes.
Answer:
that would be 39 minutes
Step-by-step explanation:
Answer:
The answer is 39 minutes
Step-by-step explanation:
You subtract 9:14 AM from 8:35 AM which equals 39 so the difference is 39 minutes.
Find the sum.
10 + 12 + 14 + ... + 80
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since [tex]\frac{10+80}{2}=45[/tex]. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
[tex]45\times36=1620[/tex], so the sum is 1620.
A statistical question anticipates that answers will vary. Which of these are examples of statistical questions?
A)How many computers are in the school's lab?
B)How many letters are in the word direction?
C)What are the favorite books of each member of the book club?
D)How many people volunteered to help at the community's Christmas festival?
E)How many video games were purchased last year by each student in Mr. Hill's math class?
Answer:
the answer is C
Step-by-step explanation:
hope it hlp
A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is ___miles.
Answer:
28 miles
Step-by-step explanation:
[tex]\frac{1}{3.5}: \frac{8}{y}[/tex]
1 × y = 3.5 × 8
y = 28
The actual distance of the map is 28 miles.
What is multiplication?Multiplication is an arithmetic operation in mathematics. It also entails using the same kinds of phrases over and over again.
Example: 2 + 3 means that 2 has been increased by 3 or that 3 has been increased by 2 times.
A map's scale is 1 inch = 3.5 miles.
If the distance on the map is 8 inches
To find actual distance:
Use multiplication operation,
8 x 3.5
= 28 miles
Therefore, the distance is 28 miles.
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Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
Twice the difference of 1 and a number.
Answer:
2(1 - x)
Step-by-step explanation:
Twice the difference of 1 and a number
a number = x
The difference of 1 and a number is expressed as :
1 - x
Twice this difference, means the difference of (1-x) multiplied by 2
2 * (1 - x) = 2(1 - x)
If you answer this question correctly i'll give you brainliest
Answer:
175
Step-by-step explanation:
If g=8 what is a value of the expression 9 2+3?
Answer: 8*2+3 = 16+3 = 19
if u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uxv)(x)
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
v(x )=1x whichever notation you prefer: (u∘v)(x)=u(v(x)).
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
Solve for the value of z
Answer:
z=26
Step-by-step explanation:
4z-8+3z+6=180
7z-2=180
7z=182
z=26
Answer:
z=26
Step-by-step explanation:
add the 2 equation together to equal 180
4z-8+3z+6
combine like terms
7z-2=180
add 2 to both sides
7z=182
divide by 7 to isolate z
z=26
9x2 + 11x + 3 = 0
Solving using the Quadratic Formula
Answer:
Step-by-step explanation:
Find the area of the object.
Use the formula.
Show me how you substitute into the formula.
Give me the answer with the correct unit.
28,507.72 nearest hundredth
HELP ASAP
(08.02 MC)
Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex](x,y) = (3,-6)[/tex]
Required
Which graph shows: [tex](3,-6)[/tex]
To do this, we simply check the intersection points of the lines on the graph.
This particular graph that is shown has [tex](x,y) = (3,-6)[/tex] as its solution because the point of intersection of both lines is at: [tex](3,-6)[/tex]
i.e.
[tex]x = 3[/tex]
[tex]y = -6[/tex]
I’m a little confused with this? Can someone walk me through this?
Answer:
A. 5.8
Step-by-step explanation:
From the given graph d has two coordinates;
the first coordinates of d = (0, 0)
the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal
The distance between the two coordinates = distance of d;
[tex]distance \ between \ two \ coordinates = \sqrt{(x_2-x_1)^2 \ + \ (y_2-y_1)^2} \\\\d = \sqrt{(-3-0)^2 \ + \ (-5-0)^2}\\\\d = \sqrt{9 \ + \ 25} \\\\d = \sqrt{34} \\\\d = 5.83\\\\d = 5.8[/tex]
Option A is correct
Anyone know the answer to the first one?
Answer:
it's a multiple choice, really.
Step-by-step explanation:
take any prime number for Y and take a number that is a multiple of 3 for X.
Please helppp!!!!!!!!!
9514 1404 393
Answer:
$705.78
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
P = $300, r = 0.13, n = 1, t = 7
__
A = $300.00(1 + 0.13/1)^(1·7)
A = $300·(1.13^7) ≈ $300·2.35260548
A = $705.78
There will be $705.78 in the account after 7 years.
Point Pis the circumcenter of A XYZUse the lengths of PX and
PY to find the length of PZ. Show (or explain) all of your work!
PX - 3x + 2
PY - 4x - 8
Answer:
The length of the line segment PZ is 32 units.
Step-by-step explanation:
If P is the circumcenter of [tex]\triangle XYZ[/tex], then the measures of line segments PX, PY and PZ are the same of the radius of the circle, in which is inscribed in, meaning that measures of the three line segment are equal:
[tex]PX = PY = PZ[/tex] (1)
If we know that [tex]PX = 3\cdot x + 2[/tex] and [tex]PY = 4\cdot x - 8[/tex], then we solve (1) for [tex]x[/tex]:
[tex]3\cdot x + 2 = 4\cdot x - 8[/tex]
[tex]x = 10[/tex]
Then, the length of PZ is:
[tex]PZ = 3\cdot x + 2[/tex]
[tex]PZ = 3\cdot (10) + 2[/tex]
[tex]PZ = 32[/tex]
The length of the line segment PZ is 32 units.
Given LP, LM = (3x + 1), MN = (4x –3), NP = (6x – 5), and LM =NP.
M
AN
What is the length of MP?
Answer:
[tex]MP = 12[/tex]
Step-by-step explanation:
Given
[tex]LM = (3x + 1), MN = (4x -3), NP = (6x - 5)[/tex]
[tex]LM = NP[/tex]
Required
Find MP
We have:
[tex]LM = NP[/tex]
This gives:
[tex]3x + 1 = 6x - 5[/tex]
Collect like terms
[tex]3x - 6x = -1-5[/tex]
[tex]-3x = -6[/tex]
Solve for x
[tex]x = 2[/tex]
MP is calculated as:
[tex]MP = MN + NP[/tex]
[tex]MP = 4x - 3 + 6x - 5[/tex]
Collect like terms
[tex]MP = 4x + 6x - 3 - 5[/tex]
[tex]MP = 10x - 8[/tex]
Substitute [tex]x=2[/tex]
[tex]MP = 10*2 - 8[/tex]
[tex]MP = 20 - 8[/tex]
[tex]MP = 12[/tex]