Answer:
The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.
Step-by-step explanation:
20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.
At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So
[tex]H_0: \mu = 28.76[/tex]
At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So
[tex]H_1: \mu > 28.76[/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.
28.76 is tested at the null hypothesis:
This means that [tex]\mu = 28.76[/tex]
Standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.
This means that [tex]\sigma = 7.5, X = 33, n = 32[/tex].
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}[/tex]
[tex]z = 3.2[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level [tex]\alpha = 0.05[/tex].
Looking at the z-table, z = 3.2 has a p-value of 0.9993.
1 - 0.9993 = 0.0007
The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.
What is 39% of 921?
Btw good morning to everybody!
Answer:
359.19 And good morning to you
Step-by-step explanation:
Answer:
359.19 is the 39% of 921
good afternoon to you
If PO and RS intersect to form four right angles, which statement is true?
O A. POIRS
O B. PO - RS
O C. PO and RS are parallel
O D. PO and RS are skew
PEASE HELP
Answer
its A
Step-by-step explanation:
The length of PQ is perpendicular to RS. The correct option is A.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.
Given that the PO and RS intersect to form four right angles. If PO and RS intersect to form four right angles, the side PQ should be perpendicular to the side RS.
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Help!!!
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.
Answer:
Step-by-step explanation:
floor = 12*10 = 120 sq ft
rug = π[tex]r^{2}[/tex] = 9π
120-9π = 91.74 sq ft
The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²
What is Area?Area is the space occupied by a 2 dimensional figure.
The room is rectangular and its 12 ft by 10 ft. Therefore,
area of the room = lw
where
l = length
w = width
area of the room = 12 × 10 = 120 ft²
The rug is circular and its use to cover the room. Therefore,
area of rug = πr²
where
r = 3 ft
Therefore,
area of rug = 3.14 × 3² = 28.26 ft²
The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:
area uncovered = 120 - 28.6 = 91.74 ft²learn more on area here; https://brainly.com/question/1389611
Choose all that correctly give the distance in the coordinate plane between two points.
(-5, 8), (5,8)
d = 10
(3,8), (3, -6)
d = 12
(-2,-9), (-2,4)
d = 13
(8, -7), (1, -7)
d = 9
(-12, -4), (-6, -4)
d = 6
Simplify by combining like terms. − 5 p + 4 m − 2 p + m
Answer:
-7p +5m
Step-by-step explanation:
− 5 p + 4 m − 2 p + m
Combine like terms
-5p -2p +4m +m
-7p +5m
Answer:
-7p+5m
Step-by-step explanation:
See image below:) :)
How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!
Answer:
You are fortunate that there are several excellent algorithms textbooks on the market. Many of them (including Introduction to Algorithms) have material on not just the algorithms, but the techniques you can use to develop algorithms. I recommend that you learn techniques such as divide-and-conquer, dynamic programming, greedy algorithms, and amortized analysis.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
When trying to solve a certain problem, different strategies must be applied that have the ability to solve the question in the most favorable way.
Thus, as a first step, the problem that is taking place, and the severity of it, must be identified. Then, proposals for solving the problem must be prepared, considering the pros and cons of each one, as well as their eventual cost. Subsequently, a main option and a plan B must be chosen with which to solve the question. Finally, the resolution plan must be executed.Learn more in https://brainly.com/question/7208889
0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20
9514 1404 393
Answer:
see below
Step-by-step explanation:
A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.
Of the tables shown here, this is the case only for the one shown below. It has ...
y = 1.4x
Answer:
The middle one
Step-by-step explanation:
The middle one
y = (7/5)x
x y
5 7
20 28
60 84
There are 36 male and 24 female students in a cultural competition
a ) Write the percentage of students in the competition
b ) Write the percentage of female students in the competition
Answer:
a. 24/60 = 40%
b. 24/60 = 40%
Explanation:
it seems both the questiona have the same answer. how many students in the competition is what you are looking for, the total of people in the competition is 60(36+24). there are 24 students, so you divide 24 by 60 and you will get 40% for both questions.
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?
Answer:
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
Step-by-step explanation:
Manufacturing process under control must produce items that follow a normal distribution.
Manufacturer information:
μ = 51 months mean lifetime
σ = 7 months standard deviation
Sample Information:
x = 51 months
n = 60
Confidence Interval = 90 %
Then significance level α = 10 % α = 0.1 α/2 = 0,05
Since it is a manufacturing process the distribution is a normal distribution, and with n = 60 we should use a Z test on two tails.
Then from z- table z(c) for α = 0,05 is z(c) = 1.64
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate z statistics z(s)
z(s) = ( x - μ ) / σ /√n
z(s) = ( 53 - 51 ) / 7 /√60
z(s) = 2 * 7.746 / 7
z(s) = 2.213
Comparing z(s) and z(c)
z(s) > z(c) then z(s) is in the rejection region
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
Find the nth term of the geometric sequence whose initial term is a1
= 0.5 and common ratio is 10
(Your answer must be a function of n.)
Answer:
Step-by-step explanation:
geometric progresion formula:
[tex]a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}[/tex]
What is the solution to the equation?
^5 / x+7= -2 (A.) -39 (B.) -17 (C.) 25 (D.) no solution
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-39}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt[5]{x + 7} = - 2[/tex]
➺[tex] \: x + 7 =( { - 2})^{5} [/tex]
➺[tex] \: x + 7 = ( - 2 \times - 2 \times - 2 \times - 2 \times - 2)[/tex]
➺[tex] \: x + 7 = - 32[/tex]
➺[tex] \: x = - 32 - 7[/tex]
➺[tex] \: x = - 39[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \sqrt[5]{x + 7} = - 2 \\\\ ➼ \: \sqrt[5]{ - 39 + 7} = - 2 \\ \\➼ \: \sqrt[5]{ - 32} = - 2 \\\\ ➼ \: \sqrt[5]{ - 2 \times - 2 \times - 2 \times - 2 \times - 2} = - 2\\ \\ ➼ \: \sqrt[5]{( { - 2})^{5} } = - 2\\ \\ ➼ \: - 2 = - 2 \\\\ ➼ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning. }}{\orange{❦}}}}}[/tex]
The solution of the given equation would be; x = -39.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
WE have been given an equation as,
[tex]\sqrt[5]{x+7} = -2[/tex]
WE need to find the solution of the given equation which can be calculated as;
[tex]\sqrt[5]{x+7} = -2[/tex]
First raise both sides to the power 5;
[tex](\sqrt[5]{x+7} )^5= -2^5[/tex]
Now x + 7 = - 32
subtract 7 from both sides, we get;
x = - 39
Hence, the solution of the given equation would be; x = -39.
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How would I figure this out?
Answer:
y = 23
x ≈ 13
Step-by-step explanation:
3y + (y+88) = 180
Solve for y
y =23
6x + 35 = y + 88
substitute y = 23
6x + 35 = 23 + 88
Solve for x
x ≈ 13
A student tosses 4 coins.
What is the probability that all 4 coins show heads?
Step-by-step explanation:
There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.
If you answer this you will get 100 points pls answer hurry it’s due in 20 mins
Answer:
Option B, medianStep-by-step explanation:
We see the data is not uniform. One of the prices is very high compared to the others. Since there is an outlier, the median is the best measure of central tendency.
This is the second option.
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of
Answer: the minimum sample size needed = 145
Step-by-step explanation:
Formula for sample size:
[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]
, where z* = Critical z-value
Given: Standard deviation = 2.15
Margin of error = 0.35
Z* for 95% confidence = 1.96
Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]
[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]
Hence, the minimum sample size needed = 145
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?
Answer:
Terry has 1500 sweets.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of sweets Terry has.
y is the number of sweets Alex has.
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.
This means that:
[tex](1 - 0.3)x = y + 0.3x[/tex]
[tex]0.7x = y + 0.3x[/tex]
[tex]y = 0.4x[/tex]
If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.
This means that:
[tex]y + 750 = 1.8(x-750)[/tex]
We want to find x, and since [tex]y = 0.4x[/tex]
[tex]y + 750 = 1.8x - 1350[/tex]
[tex]0.4x + 750 = 1.8x - 1350[/tex]
[tex]1.4x = 2100[/tex]
[tex]x = \frac{2100}{1.4}[/tex]
[tex]x = 1500[/tex]
Terry has 1500 sweets.
The quotient of 9/10
Answer:
0.9 is the correct answer
Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median
Which table represents a nonlinear function? ASAP
Answer:
The second table, the table in the middle.
Step-by-step explanation:
Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.
find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3
Answer:
The Question isn't clear
Step-by-step explanation:
Answer:
can someone please answer this question correctly for me. i need it asap
Step-by-step explanation:
The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.
Answer:
Step-by-step explanation:
The second one I believe.
HELP PLEASE!!!!!
options
A) AAS
B) ASA
C) HL
D) SAS
nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.
Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.
Step-by-step explanation:
What inequality does the number line graph represent
Answer:
5x + 3 ≥ 18
Step-by-step explanation:
when solved, the inequality is x ≥ 3
x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set
When Riley goes bowling, her scores are normally distributed with a mean of 160 and
a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Riley bowls.
Answer:
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 160, standard deviation of 13.
Middle 68% of the scores of all the games that Riley bowls.
Within 1 standard deviation of the mean, so:
160 - 13 = 147.
160 + 13 = 173.
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Exercise 5.2
Which of the capital letters of the English alphabet are symmetrical?
Answer:
The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX
Step-by-step explanation:
hope it helps
HELPP what is the area of this cylinder
Answer:
1,884
Step-by-step explanation:
The formula for solving the area of a right cylinder like this one is:
=2πrh+2πr2
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
A bicycle has a listed price of 593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
the answer is in
Step-by-step explanation:
