Assume two independent random samples are available which provide sample proportions. For the first sample assume n1= 100 and x1= 39. For the second sample, assume n2= 100 and x2= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth.
a) z-value = -1.425 p-value= 0.077 statistically significant
b) z-value = 1.425 p-value= 0.077 not statistically significant
c) z-value = 1.425 p-value= 0.077 statistically significant
d) z-value = -1.425 p-value= 0.1543 not statistically significant

Answer:

x=6

Step-by-step explanation:

subtract the 2x from 4x and add 3 to 9. we would get 2x=12. divide by 2 on both sides and you get x=6!

Answer:

Mr. Grote: 29, Ms. Maitner: 45

Step-by-step explanation:

x = number of points Mr. Grote scored

x + 16 = number of points Ms. Maitner scored

x + x + 16 = 74

x + x = 58

2x = 58

x = 29

29 + 16 = 45

Answer:

m = 123°

k = 57°

h = 123°

p = 99°

q = 81°

f = 99°

g = 81°

s = 42°

r = 57°

u = 57°

v = 123°

Step-by-step explanation:

Using basic angle relationships, we should be able to tell these angles easily.

If the 57° is supplementary to m, then m will be [tex]180 - 57 = 123[/tex] degrees.

k is also supplementary to m, so k is [tex]180-123=57[/tex] degrees - we also know this because it is an alternate interior angle to the other 57°.

h is an alternate interior angle to m, so h is the measure of m : 123°.

q is the same measure as the 81° angle, since they are corresponding angles. q is also 81°.

p is supplementary to q, so p is [tex]180-81=99[/tex] degrees.

f is an alternate interior angle to p, so f is also 99°.

g is also an alternate interior angle to q, so g is 81°.

The measure of s will be [tex]180-k-g[/tex] since all 3 sides of a triangle add up to 180°: so [tex]180-57-81=42[/tex] degrees.

r will be supplementary to the 81° angle and s, 42, so r is [tex]180 - 81 - 42=57[/tex] degrees.

u is an alternate interior angle to r, so u is also 57 degrees.

v is supplementary to u, so v will be [tex]180-57=123[/tex] degrees.

Hope this helped!

Answer:

a i think

Step-by-step explanation:

Answer:

(B) It decreases

Step-by-step explanation:

I figured this out with basic logic, but we can use proof to find it out.

If we have [tex]35+k[/tex], we can assume that k is around 10.

So [tex]35+10=45[/tex].

Now let's decrease k by 1, making k=9.

[tex]35+9=44[/tex]

We can see that the value is decreasing, but let's try one more.

Let's make k=8.

[tex]35+8=43[/tex]

So we can see the general pattern here is that it's decreasing.

Hope this helped!

Answer:

1) 14 by 21

2)7

Step-by-step explanation:

i Dint do the complete work i am not sure.

The side lengths of the scaled copy would be 14 by 21 and If you want to scale the copy back to its original size then you should use a scale factor that would be 1/7.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7 which is given in the question.

As we know scale factor is the ratio of sides in the original image and the image after dilation.

So the side lengths of the scaled copy would be 14 by 21

If you want to scale the copy back to its original size

Therefore, you should use a scale factor that would be 1/7.

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Answer:

-5

Step-by-step explanation:

the slope is the variable in front of the x

Answer:

All of the functions required to transform inputs into outputs (goods and ... provide all of the materials and supplies required to create finished products and deliver ... System for determining the right quantity of various items to have on hand

Step-by-step explanation:

Answer:

(a) 51

(b)  [tex]T_{n}=a+(n-1)d[/tex]

(c) 20th figure

Step-by-step explanation:

The diagram is attached below.

The first triangle is formed using 6 toothpicks.

The second triangle is formed using 11 toothpicks.

The third triangle is formed using 16 toothpicks.

So, there is an increases of 5 toothpicks every time.

We can say that the number of toothpicks used to form n triangles are following an arithmetic progression with the first term as 6 and the common difference as 5.

The nth term will be:

[tex]T_{n}=a+(n-1)d[/tex]

(a)

Compute the number of toothpicks required for the 10th figure as follows:

[tex]T_{n}=a+(n-1)d[/tex]

[tex]T_{10}=6+(10-1)\times5[/tex]

     [tex]=6+(9\times5)\\=6+45\\=51[/tex]

Thus, the number of toothpicks required for the 10th figure is 51.

(b)

Compute the number of toothpicks required for the nth figure as follows:

[tex]T_{n}=a+(n-1)d[/tex]

(c)

Compute the value of n for [tex]T_{n}=102[/tex] as follows:

                 [tex]T_{n}=102[/tex]

   [tex]a+(n-1)d=102\\\\[/tex]

[tex]6+(n-1)\times 5=102[/tex]

         [tex]5(n-1)=96[/tex]

             [tex]n-1=19.2[/tex]

                   [tex]n=20.2\\n\approx 20[/tex]

Thus, the 20th figure will require exactly 102 toothpicks.

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let [tex]\mu[/tex] = population mean.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 100      {means that the population mean is equal to 100}  

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 100     {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = 98  

            s = sample standard deviation = 20

             n = sample size = 400

So, the test statistics =  [tex]\frac{98-100}{\frac{20}{\sqrt{400} } }[/tex]   ~  [tex]t_3_9_9[/tex]

                                     =  -2  

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

                 P([tex]t_3_9_9[/tex] < -2) = 0.0234   {using the t-table}

Answer:

Step-by-step explanation:

The Bessel function or order zero of the first kind may be defined by the solution - to Bessel's differential equation - which is a finite value at the origin X=0 for positive or negative whole numbers (integers) or positive alpha (α) values.

Answer:

Diffrent between altitude = 14,021 ft

Step-by-step explanation:

Given:

Heighest altitude = 14,309 ft

Lowest altitude = 288 ft

Find:

Diffrent between altitude

Computation:

Diffrent between altitude = Heighest altitude - Lowest altitude

Diffrent between altitude = 14,309 - 288

Diffrent between altitude = 14,021 ft

Step-by-step explanation:

Terminating decimals: these have a finite number of digits after the decimal point.

Example: 9.5

Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

Example: 0.333333...

Answer:

Step-by-step explanation:

Considering that the question is a fun riddle, I will give a suitable fun answer.

The question says that the son goes to school, so we can assume that the boy is a young child. So, he is probably short.

So, while getting down the stairs, it is easy for him to press the button in the elevator to reach the ground floor as the button for ground floor is the on the bottom of the switch panel.

However, since he is short he cannot reach the button for the 10th floor after returning from school. He can only reach up to the button for the 5th floor. So, he travels up to the 5th floor by the elevator and from there he takes the stairs to reach the 10th floor.

Answer:

width of the confidence interval decreases if the sample size is increased to 20.

Step-by-step explanation:

There are some factors which affect the width of the confidence interval such as:

The decrease in the sample standard deviation decreases the width of the interval .

The decrease the confidence level decreases the width of the interval .

The increase in the sample size decreases the width of the interval .

In the given question the previous sample size was 10 which was then increased to 20. So this increase in sample size causes the confidence interval to decrease. This is because when sample size increases, it decreases the standard error. This interprets that the sample size is getting closer to true population size.

Step-by-step explanation:

see the attachment......

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We are given that:

[tex]CB=2x+5[/tex]

And that DE = 10. We want to determine the value of x.

Note that CB is the sum of CD and DB. In other words:

[tex]CB=CD+DB[/tex]

Similarly, DE is the sum of DB and BE. Thus:

[tex]DE=DB+BE[/tex]

From the second equation, we can subtract BE from both sides:

[tex]DE-BE=DB[/tex]

Substitute this into the first equation:

[tex]CB=CD+(DE-BE)[/tex]

We are given that CB is 2x + 5 and DE is 10.

From the diagram, we can also see that CD is 3x - 1 and BE is 8.

Substitute:

[tex](2x+5)=(3x-1)+((10)-(8))[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}[/tex]

In conclusion, the value of x is 4.

Answer:

113cm²

Step-by-step explanation:

Area = 4 π r²

= 4 * 3.142 * 3²

= 113.112 cm²

Answer:

20.

Step-by-step explanation:

2x + x - y^2; x = 8 and y = 2.

2(8) + 8 - (2)^2

= 16 + 8 - 4

= 24 - 4

= 20.

Hope this helps!

Answer:

= 20

Step-by-step explanation:

2x + (x - y²)

x = 8

y = 2

then:

  2*8 + (8 - 2²)

= 16 + (8 - 4)

= 16 + 4

= 20

Answer:

DIstrict 241 had 4 snow days.

Step-by-step explanation:

5 * 5 = 25

Add the ones you know

4 + 8 + 3 + 6 = 21

Then

25 - 21 = 4

So District 241 had 4 snow days.

I know this answer is 100% correct. I answered it correctly. This problem wasn't that hard. Let me know if you need help with anything else.

The number of snow days of District 241 are 4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have to find the number of snow days of District 241

School District   District201    District211  District221  District231  District 241

Number of                      4               8                  3                  6                 ?

snow days

Mean of snow days is 5.

Mean =Sum of observations/Number of observations

5=4+8+3+6+x/5

25=21+x

Subtract 21 from both sides

x=4

Hence, the number of snow days of District 241 are 4.

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Answer:

Rs. 4128.57

Step-by-step explanation:

Given:

Solving for x:

Answer: Total cost: $820.26      Paid in tax: $62.51

Step-by-step explanation:

First you have to get the Tax. Since the Tax is 8.25% MOVE the decimal 2 spots to the right so now it is 0.0825.

Multiply 0.0825 by 757.75 you will get 62.514375.

Dont get scared of the big number simply simplify and you get the tax.

if you want the total he paid add tax and original cost.

Answer:

x=3

Step-by-step explanation:

slope: (y² - y¹) / (x² - x¹)

(3, 0) & (3, 1)

(1 - 0) / (3 - 3) = 1 / 0

undefined = vertical line

Answer:

EF + FG = EG   Plug in the given values

4x + 15 + 39 = 110   Combine like terms (15 and 39)

      4x + 54 = 110   Subtract 54 from both sides

               4x = 56   Divide both sides by 4

                 x = 14

Answer:

The difference is 8.56 cm. ( the metre is longer than the yard).

Step-by-step explanation:

1 yard = 36 inches

= 36 * 2.54

= 91.44 cm

1 metre = 100 cm.

Answer:

I believe that it is a line, since a line is infinite

Step-by-step explanation:

Answer:

D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Step-by-step explanation:

You need to subtract g(x) from f(x).

(f - g)(x) = f(x) - g(x) =

= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)

Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.

= 4x^3 + 7x^2 - 2x - 1 - 4x + 2

Combine like terms.

= 4x^3 + 7x^2 - 6x + 1

Answer: D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1

Answer:

4x^3+7x^2-6x+1

Step-by-step explanation:

f(x) = 4x^3 +7x^2 -2x-1

g(x) = 4x-2

f(x) - g(x) = 4x^3 +7x^2 -2x-1 - ( 4x-2)

Distribute the minus sign

                4x^3 +7x^2 -2x-1 - 4x+2

Combine like terms

                   4x^3+7x^2-6x+1

Answer:

D. 2

Step-by-step explanation:

(1 - -5)/(4 - 1) = 6/3 = 2

Answer: 2

Step-by-step explanation:

The slope of a line through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁). In this case, x₁ = 1, y₁ = -5, x₂ = 4, and y₂ = 1. So the slope is:

(1 - (-5))/(4 - 1) = 6/3 = 2

Answer:

(x − 1)² + (y − 2)² = 25

Step-by-step explanation:

Equation of a circle is (x − h)² + (y − k)² = r², where (h, k) is the center and r is the radius.

Answer:

42÷(-6). 42÷(-7).

Step-by-step explanation:

Is this what you want?

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

As we know that the formula for calculating the final amount or maturity amount is given by;

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

               = $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.