Answer:
A. Reject H0 because the P-value is less than or equal to α.
Step-by-step explanation:
Decision:
If the pvalue of the test is less than the significance level, we reject the null hypothesis H0.
Otherwise, we fail to reject the null hypothesis H0.
In this question:
Significance level: 0.01
P-value: 0.0087
0.0087 < 0.01, so we reject H0.
The correct answer is given by option A.
Starmax is showing the same movie in three theaters. In theater A, 36 of 60 seats are taken. In theater B, 81 seats are taken and 9 are empty. In theater C, 12 of 80seats are empty which theater has the greatest percent of the seats taken?
Answer:
Theater B.
Step-by-step explanation:
Find out each theatre's percentage of seats taken.
Theater A =
100% = 60
1% = 60 ÷ 100 = 0.60
36 ÷ 0.60 = 60% of the seats taken.
Theater B =
81 + 9 = 90
100% = 90
1% = 90 ÷ 100 = 0.90
81 ÷ 0.90 = 90%
Theater C =
100% = 80
1% = 80 ÷ 100 = 0.80
80 - 12 = 68
68 ÷ 0.80 = 85%
Theater B have the greatest percentage of seats taken out of all 3.
9) Maya has completed 35% of her math test. She answered 14 questions. 6 points
How many questions are on the test? *
9514 1404 393
Answer:
40
Step-by-step explanation:
If the number of questions on the test is Q, then we have ...
35% × Q = 14
Dividing by the coefficient of Q gives ...
Q = 14/0.35 = 40
There are 40 questions on the test.
What is a 7 - 0.9 = *
Answer: 6.1
Step-by-step explanation:
Answer:
6.1
Step-by-step explanation:
have a good day/night may i please have a branlliest
What is the answer to: 20 - 6x = 4x -15 = ?
Answer:
20 - 6x = 4x - 15
35 - 6x = 4x
35 = 2x
x = 15.5
The solution to the equation 20 - 6x = 4x -15 is x = 3.5.
To solve the equation 20 - 6x = 4x - 15,
20 - 6x = 4x - 15
To isolate the variable terms on one side, add 6x to both sides:
20 - 6x + 6x = 4x - 15 + 6x
20 = 10x - 15
Next, add 15 to both sides to further isolate the variable term:
20 + 15 = 10x - 15 + 15
35 = 10x
Finally, divide both sides by 10 to solve for x:
35/10 = 10x/10
3.5 = x
Therefore, the solution to the equation is x = 3.5.
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Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.939 and the equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 100.9 and the 20 y values have a mean of 100.9. What is the best predicted IQ of the wife, that the husband has an IQ of 100? Use a significance level of 0.05. The best predicted IQ of the wife is ______. (Round to two decimal places as needed.)
Answer:
The wife IQ is 103 when the husband IQ is 100.
Step-by-step explanation:
The given equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband.
If the husband IQ is 100 the the wife IQ is
y = -11 + 1.14x,
y = -11 + 1.14(100)
y = -11 + 114
y = 103
solve for x please help besties!!
Answer:
if 2 means multiply by 2, the answer would be 12. If it just is there as a hint then the answer is 24.
Step-by-step explanation:
Hope this helps!
In the diagram, the measures of 1 and 4 are 100. The measure of 5 and 8 are 110. Are lines C and D parallel
B on Ap3x.............
Answer:
B
Step-by-step explanation:
a 300 gallon tank is initially full and water is being drained at a rate of 4 gallons per minute.
does the intercept involving time have any physical meaning in this problem? explain
Answer:
Yes, it's when the tank is out of water.
Step-by-step explanation:
ILL GIVE BRAINLEST, find the value of x
Answer:
in my panies
Step-by-step explanation:
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1,000
delivery orders and constructed a one-sample z interval to estimate the proportion of delivery orders that take
more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4,000 orders.
Assume that the point estimates from each sample are approximately equal.
What is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about
select ratio v
the margin of error from the
larger sample.
Answer:
2 times
Step-by-step explanation:
Khan Academy
You can use the formula for margin of error and the fact that the point estimates of both the samples are same to calculate the ratio of margin of errors of both the samples.
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.
[tex]MOE_1 = 2 \times MOE_2[/tex]
How to calculate the margin of error for a given sample from a population?Let the level of significance be [tex]\alpha[/tex] and the standard deviation of the population be [tex]\sigma[/tex] and the sample size be n, then we have:
[tex]\text{MOE(Margin of Error)} = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Using the above formula to calculate the margin of errors for two specified samplesFor first sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_1 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}[/tex]
For second sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_2 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
[tex]\dfrac{MOE_2}{MOE_1} = \dfrac{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}}{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}} = \sqrt{\dfrac{1000}{4000}} = \dfrac{1}{2}\\\\\\MOE_1 = 2 \times MOE_2[/tex]
Thus,
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.[tex]MOE_1 = 2 \times MOE_2[/tex]
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A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard deviation of 0.2 ounces. If a sample of 9 cups is selected, find the probability that the mean of the sample will be less than 12.1 ounces.
Answer:
0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 12 ounces and a standard deviation of 0.2 ounces.
This means that [tex]\mu = 12, \sigma = 0.2[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{0.2}{\sqrt{9}}[/tex]
Find the probability that the mean of the sample will be less than 12.1 ounces.
This is the pvalue of Z when X = 12.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{12.1 - 12}{\frac{0.2}{\sqrt{9}}}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.
Find the properties of each Quadratic Function
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
I’ll give points + brainalist for correct answer (:
Answer:
C) 2
Step-by-step explanation:
Emma: Range = 8
Arianna: Range = 6
The difference in the range is 2 (8-6)
Answer:
C) 2
Step-by-step explanation:
Emma:
Max = 20
Min = 12
Range = 20 - 12
Range = 8
Arianna:
Max = 18
Min = 12
Range = 18 - 12
Range = 6
Difference between the 2 ranges:
8 - 6 = 2
Translate to a quadratic equation, then solve using the quadratic formula.
A positive integer squared plus 5 times its consecutive integer is equal to 11. Find the integers.
Answer:
The integer is 1
Step-by-step explanation:
Required
Translate and solve
Let the positive integer be x.
So, we have;
The square of the integer is: x^2
Plus 5 times its consecutive integer is: x^2 + 5(x + 1)
Equals 11 is: x^2 + 5(x + 1) = 11
So, we have:
[tex]x^2 + 5(x + 1) = 11[/tex]
Open bracket
[tex]x^2 + 5x + 5= 11[/tex]
Subtract 11 from both sides
[tex]x^2 + 5x -6= 0[/tex]
Expand
[tex]x^2 + 6x - x-6= 0[/tex]
Factorize:
[tex]x(x + 6) - 1(x+6)= 0[/tex]
Factor out x + 6
[tex](x - 1) (x+6)= 0[/tex]
Split
[tex]x - 1 = 0\ or\ x + 6 = 0[/tex]
Solve for x in both cases
[tex]x = 1\ or\ x = -6[/tex]
Since the number is positive, then [tex]x = 1[/tex]
Solve for X. Assume that lines which appear to be diameters are actual diameters. Show work pls.
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
The three marked angles total 180°, the number of degrees in a semicircle.
(x +51) +65 +70 = 180
x = 180 -186 = -6 . . . . . . . . subtract 186 and simplify
The value of x is -6.
if In x + ln(x – 4) = ln(7x), then x
Answer:
x=11
Step-by-step explanation:
ln rule: ln(ab)=ln(a)+ln(b)
ln(x)+ln(x-4)=ln(7x)
ln(x(x-4))=ln(7x)
x^2-4x=7x
x^2-11x=0
x(x-11)=0
x=0 or x=11
Since ln(x) is undefined when x is less or equal to 0
x=11
Determine if the following relations are functions. If they are functions, also state the domain and range.
Answer:
desculpa mas eu não sei a resposta mais eu vou ver se posso te ajudar taaa
PLEASE HELP!!!
A)
B)
C)
D)
Answer:
b i think
Step-by-step explanation:
is this right? Please tell me....
Answer:
yes
Step-by-step explanation:
Answer:
YES IT IS!!
Step-by-step explanation:
!!
Telephone Company Project
So I tried everything I could but I still don’t know
Step-by-step explanation:
app it's a standard 30 60 90 triangle. there are rules for this.
x = 3
y = 6
The Nike store sold 99 Kobe Bryant shirts for $24 each. All money will go to a charity in his name.How much money will be going to a charity?
Answer:
$2376
Step-by-step explanation:
We love you Kobe <3 We love you Gigi
Solve for x to the nearest degree.
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 100°. what is the
measure of ZQRS?
mZQRS = [?]°
The measure of other supplementary angle where one angle is 100° is 80°
In the above question, it is given that two angles are supplementary angles and,
Two angles are said to be supplementary angles if their sum is 180 degrees.
We have,
The measure of one angle is = 100°
Let the angle which needs to be find as ∠x
That means, we need to find the measure of ∠x
So, according to the supplementary angles property,
100° + ∠x = 180°
∠x = 180 - 100
∠x = 80°
Hence, the measure of other supplementary angle where one angle is 100° is 80°
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Factor Зу2 - 4у.
y(4 - Зу)
y(Зу - 4)
y(4y-3)
i need help with this pls 9.1k=63.7
Answer:
k = 7
Step-by-step explanation:
63 ÷ 9 = 7
Find the value of x.
The value of x is: A. 38°
The Cramer's Rule states that, in a system of equation in two unknowns, in which determinants D is not 0, X=_____and Y=_____.
Answer:
Step-by-step explanation:
[tex]x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}[/tex]
Janice is rolling a fair number cube that is numbered 1 - 6. Which statement is true?
Answer:
Where r the statements?
Step-by-step explanation: