Can someone please help me with this?!!!
Step-by-step explanation:
A.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7
A claim is made that the proportion of 6-10 year-old children who play sports is not equal to 0.5. A
random sample of 551 children aged 6-10 showed that 48% of them play a sport.
For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t="
before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value
(b) Use your calculator to find the P-value of this test.
P-value =
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.02 significance level. If
there are two critical values, then list them both with a comma between them.
Critical value(s) -
Answer:
a) -0.94
b) 0.3472
c) -2.327, 2.327
Step-by-step explanation:
A claim is made that the proportion of 6-10 year-old children who play sports is not equal to 0.5.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion is different from 0.5, that is:
[tex]H_1: p \neq 0.5[/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.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*(1-0.5)} = 0.5[/tex]
A random sample of 551 children aged 6-10 showed that 48% of them play a sport.
This means that [tex]n = 551, X = 0.48[/tex]
(a) Calculate the value of the test statistic used in this test.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{551}}}[/tex]
[tex]z = -0.94[/tex]
So the answer is -0.94.
(b) Use your calculator to find the P-value of this test.
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least 0.02, which is P(|z| > 0.94), which is 2 multiplied by the p-value of Z = -0.94.
Looking at the z-table, z = -0.94 has a p-value of 0.1736.
2*0.1736 = 0.3472, so 0.3472 is the answer to option b.
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.02 significance level.
Two-tailed test(test if the mean differs from a value), Z with a p-value of 0.02/2 = 0.01 or 1 - 0.01 = 0.99.
Looking at the z-table, this is z = -2.327 or z = 2.327.
Round 948070 to the nearest hundred? Hurry please
Answer:
9.48
Step-by-step explanation:
What is the area of a parallelogram if the length is 4+ x and it's height is x+3
Answer:
[tex]x^{2}[/tex] + 7x + 12
Step-by-step explanation:
The area of a parallelogram is A = bh, where the base is the length.
To solve this, you have to multiply 4 + x and x + 3.
(4 + x)(x + 3)
If you factor this more, it should be equal to:
[tex]x^{2}[/tex] + 3x + 4x + 12.
This simplified is equal to:
[tex]x^{2}[/tex] + 7x + 12.
Which complex number does not lie on the line segment plotted on the graph?
Answer:
Notice that for 3 out of the 4 numbers, there is a relationship between the x and the y coordinate of the number; for 3+i, -2i, -2-4i we have that the real part is larger by 2 from the imaginary part. Thus, the points are on the same line in the imaginary plane; they satisfy x=y+2 or Re{z}=Im{z}+2. However, 2-4i does not satisfy this equation since 2 is not equal to -4+2. Hence, this point does not belong to the line that the other 3 points define.
Step-by-step explanation:
2(-x-4)+3=-7x+5+5x
Pls help!!!!!!!!
The formula for velocity of an object is the equals d over t where he is a velocity of the object t is the distance traveled and t is a time in class well that distance is terrible if you had only this formula to work with what would your first step be to determine how long it takes for the light to return fitness center one additional information do you need to calculate this and solve the variable you're looking for
Answer:
[tex](a)\ t =\frac{d}{v}[/tex]
[tex](b)\ d = vt[/tex]
Step-by-step explanation:
The question is mixed up with details of another question. See comment for original question
Given
[tex]v = \frac{d}{t}[/tex]
[tex]v \to velocity[/tex]
[tex]d \to distance[/tex]
[tex]t \to time[/tex]
Solving (a): Solve for time
We have:
[tex]v = \frac{d}{t}[/tex]
Cross multiply
[tex]t * v = d[/tex]
Make t the subject
[tex]t =\frac{d}{v}[/tex]
Solving (b): Solve for distance
We have:
[tex]v = \frac{d}{t}[/tex]
Cross multiply
[tex]d = v * t[/tex]
[tex]d = vt[/tex]
In order to win a prize, Heather randomly draws two balls from a basket of 40. There are 25 blue balls, and the rest are green balls. Of the blue balls, 12% are winning balls. Of the green balls, 20% are winning balls. Calculate the expected number of winning balls that Heather draws.
Answer:
The expected number of winning balls that Heather draws is 0.3.
Step-by-step explanation:
The balls are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Expected value of the hypergeometric distribution:
The expected value is given by:
[tex]E(X) = \frac{nk}{N}[/tex]
Expected number of blue and green balls:
40 balls, which means that [tex]N = 40[/tex]
2 are chosen, which means that [tex]n = 2[/tex]
25 are blue, which means that [tex]k = 25[/tex]
So
[tex]E(X) = \frac{nk}{N} = \frac{25(2)}{40} = 1.25[/tex]
1.25 balls are expected to be blue and 2 - 1.25 = 0.75 green.
Of the blue balls, 12% are winning.
Of the green balls, 20% are winning.
Calculate the expected number of winning balls that Heather draws.
[tex]E_w = 1.25*0.12 + 0.75*0.2 = 0.3[/tex]
The expected number of winning balls that Heather draws is 0.3.
I WILL GIVE BRAINLIEST FAST
TRUE OR FALSE?
The triangles shown below must be congruent
B is the answer.
The triangles doesnt creates a SSS,SAS,SAA, scenario.
This triangle isn't ASA because the triangles share the same side but it have different angles that include the side.
arrange the following in descending order - 5, 0, -15, 2.5, 2.05
Answer:
2.5, 2.05, 0, -5, -15
Step-by-step explanation:
for negative numbers the bigger is worth less
Lisa, an experienced shipping clerk, can fill a certain order in 9 hours. Felipe, a new clerk, needs 10 hours to do the same job. Working together, how long will it take them to fill the order?
Answer:
9.5hrs
Step-by-step explanation:
since they are working together you have to take the average time since is the same order
What are the lower, middle, and upper quartiles of this data?
122, 164, 71, 98, 84, 147, 114, 111, 98, 85, 104, 71, 77
Answer:
71, 71, 75, 85, 98, 98, 104, 111, 114, 122, 164
The middle quartile is 98.
The lower quartile is 80
The upper quartile is 112.5
Find the equivalent expression using the
same bases.
(98.41)
Using the simple spinner below what is the probability of landing on either 2, 4, or 7?
Answer:
3/10
Step-by-step explanation:
Total possibilities = 10
favourable possibilities = 3
Answer:
A
Step-by-step explanation:
There is a 1 out of 10 chance that it will land on 2.
There is a 1 out of 10 chance that it will land on 4.
There is a 1 out of 10 chance that it will land on 7.
[tex]\frac{1}{10}\cdot3=\frac{3}{10}[/tex] so the anwser is A.
Elise's math exam had 50 problems on it. She was able
to do 36 of them in 1 hour. What percent of the math problems did
she complete?
Answer:
72%
Step-by-step explanation:
Elise did 36 out of 50 problems in 1 hour. Another way to write 36 out of 50 is 36/50.
To find the percent from a fraction, one thing we can do is make the denominator 100 but still make the fraction the same, and then take the numerator.
We have 36/50, but want to make the denominator 100, not 50. We know that 100/50 = 2, so we have to multiply 50 by 2 to get 100.
Keeping the fraction equal, we can multiply 36/50 by 2/2 to get 72/100. We can do this because 2/2=1, so we are keeping the fraction the same -- just changing the numbers a little bit.
A fraction of form x/100 is equal to x%, so 72/100 = 72% as our answer
in a standard deck of 52 cards what is the probability of drawing 2 jacks
Answer:
1/169
Step-by-step explanation:
There are 4 jacks in a deck of cards.
So 4/52 is the probability of drawing 1 card
The probability of drawing 2 jacks is 4/52*4/52
Solve, and that is 1/169
I hope this helps!
when 5 is added to 2 times a number , the results is 45. find the number
Answer:i think its 20
Step-by-step explanation: 20 x 2 is 40 plus 5 is 45
Answer:
✓ x - the number 5 + 2x = 45 2x = 45 - 5 2x = 40 x = 20 5 + 2(20) = 45 5 + 40 = 45 45 = 45 Hope this helps. :-) the answer is 20
Step-by-step explanation: Algebra.com
Find the value of y.
Please help :(
give me answer please don't skip
If a^2+b^2 = 58 and a-b = 4 then what is the value of ab
Answer:
ab = 21
Step-by-step explanation:
[tex](a - b)^2 = (a^2 + b^2 ) - 2ab\\\\4^2 = 58 - 2ab\\\\16 - 58 = - 2ab\\\\- 42 = - 2ab\\\\ab = \frac{-42}{-2} = 21[/tex]
Step-by-step explanation:
Th value of ab is 21
Explanation is in the attachment
hope it is helpful to you ☺️
thank you for giving me a chance to answer your question
Someone pls answer ? It’s 8,9,1,2
Answer:
Step-by-step explanation:
8.
any number ×0=0
so b
9.
additive identity
any number+0=same number
c
1.
[tex]\frac{(3+u)^2}{8} =\frac{(3+5)^2}{8} =\frac{8^2}{8} =\frac{64}{8} =8\\where ~u=5[/tex]
2.
-2(a-7)=-2×a-2×(-7)=-2a+14
Change 84cm into millimetres
Answer:
840 mm
Step-by-step explanation:
multiply by 10
Answer:
840 millimetres
Step-by-step explanation:
To convert cm to mm, multiply the value in cm by 10
84cm x 10 = 840 mm
Hope this helps! <3
What is the domain of the function f(x) = (-5/6)(3/5)superscript x
Answer:
[tex]-\infty < x < \infty[/tex]
Step-by-step explanation:
Given
[tex]f(x) = (-\frac{5}{6}) \cdot (\frac{3}{5})^x[/tex]
Required
The domain
There are no undefined points such as denominator of x or square roots.
Hence, the domain is:
[tex]-\infty < x < \infty[/tex]
Negate the conditional statement.
(~ a V ~ b) ►c
Please show your work and give an explanation.
(not a or not b) implies c <==> not (not a or not b) or c
so negating gives
not [(not a or not b) implies c] <==> not[ not (not a or not b) or c]
which we can simplify somewhat to
not (not (not a or not b)) and not c
(not a or not b) and not c
(not a and not c) or (not b and not c)
not (a or c) or not (b or c)
not ((a or c) and (b or c))
not ((a and b) or c)
URGENT PLS HELP
Given f(y)=2y^2 - 4y, and h(x)= x^2 - 1, determine f(h(x))
Answer:
f(h(x)) = 2•(x²-1)² -4•(x²-1)
Applying for a loan. What separates me from other applicants applying for this money?
Answer:
Step-by-step explanation:
You could have a good credit score and good credit history.
help me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me me
Volume of the 3d composite figure is,
(7×6×5)+(7×6×5)/3
= 210+70
= 280 cm³
Relationship between the two volumes,
Volume of the rectangular prism is 3 times the volume of the pyramid.
Answered by GAUTHMATH
Answer:
I was gonna anwer it but somone already did.
Step-by-step explanation:
Algebraically show that each of the given combinations are equivalent to the given functions.
h(x) • j(x) is equivalent to k(2) given:
h(x) = - 3x – 1;j(x) = – 7x + 11 ; k(x) = 21.22 – 262 – 11
h(x).j(x) = (
Is h(x).j(x) equivalent to k(x)? yes
Answer:
Yes they ate Equivalent
Step-by-step explanation:
Given the expression
h(x) = - 3x – 1;j(x) = – 7x + 11 ; k(x) = 21.22 – 262 – 11
H(x)•j(x) = (-3x-1)(-7x+11)
H(x)•j(x) = (-3x)(-7x)-3x(11)-1(-7x)(-1)(11)
H(x)•j(x) = 21x²-33x+7x-11
H(x)•j(x) = 21x²-26x-11
This shows that H(x)•j(x) = k(x)
PLEASE HELP THX<3
Solve for w.
Answer:
- [tex]\frac{26}{15}[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}[/tex] = - [tex]\frac{1}{2}[/tex]w - [tex]\frac{2}{3}[/tex]
multiply equation by a common denominator. Let's use 30.
you get :
6 = -15w - 20
26 = -15w
w = - [tex]\frac{26}{15}[/tex]
Help. I will be guessing on this, but I want to make sure this is on here so no one has to guess like I am. Help a brother out
Answer:
Line 3
Step-by-step explanation:
→ Calculate gradient
[tex]\frac{6-3}{4-2} =1.5[/tex]
Answer:
Line 3
Step-by-step explanation:
(0,0) & ( 4 , 6)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{6-0}{4-0}\\\\=\frac{6}{4}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}[/tex]
Which of the following best represents the linear regression equation for the X values and log Y values of the data shown below
Answer:
y=103.13x - 183.98
Step-by-step explanation:
Given the data :
To obtain the linear equation which best fits the data ; we could perform a linear regression analysis using a technology to obtain a best fit line.
The linear regression Equation obtained by using technology is :
y=103.13x - 183.98
Where ;
Slope = 103.13
Intercept = - 183.98
y = response variable
x = predictor variable
Answer:
A
Step-by-step explanation:
the answer is A just completed it
