Find the circumference of the circle and round to the nearest tenth

Answer:

The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds

The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds

The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.

Step-by-step explanation:

The quadratic equation given to us is ,

→ 4v² + 6v - 88 = 0 .

So , wrt to standard form of a quadratic equation ax² + bx + c = 0 , the Zeroes are given by using the Quadratic formula as ,

⇒ x = -b ± √ ( b² - 4ac) / 2a

⇒ x = -6 ± √ [6² - 4 × 4 × (-88) ] / 2×4

⇒ x = -6 ± √ [ 36 + 1408 ] / 8

⇒ x = -6 ± √ 1444 / 8

⇒ x = -6 ± 38 / 8

⇒ x = -6 +38/ 8 , -6 -38 / 8

⇒ x = 32/8 , -44/8

⇒ x = 4 , -11/2

Here I took v as x . So we can replace it .

Ernesto bought the ceramic vase for $56 including 12% tax.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.

∴ The discounted price is (50/100)×100 = $50.

Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.

∴ {(100 + 12)/100}×50.

= (112/100)×50.

= 56.

So he paid $56 including 12% tax.

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Hey did you find the answer to it yet ? Because I’m having a hard time as well

Answer:

the answer for this question is option 0.16

Answer:

The correct answer is A or C 0.05n < 0.45

Step-by-step explanation:

Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.

Answer:

160 ounces

Step-by-step explanation:

A pound = 16 ounces

16x10=160 ounces

Answer:

118

Step-by-step explanation:

1 straight line equals 180 degrees minus 62 makes it 118

Answer:

170 shirts

Step-by-step explanation:

500×0.34

170

Answer:

Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.

Step-by-step explanation:

Answer:

e. obtaining data with a small p-value.

Step-by-step explanation:

In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.

The decision depends on the pvalue:

If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.

So the correct answer is given by option e.

Answer:

it's letter D. cos 16⁰=²¹--x

Answer: d

Step-by-step explanation:

aint no 90 cuz

Answer:

Not a right triangle

Step-by-step explanation:

root 4^2 + 6^2 is not equal to 7.5

Answer:

3,3

....................

Answer:

1:2

Step-by-step explanation:

Answer:

what!!!!!!!!!!!!!!!!!! so only for dudesssssssss

Answer:

[tex] \frac{3}{6} [/tex]

Answer:

First left

Step-by-step explanation:

17/20 =  0.85   = 85/100 = 85%

Answer:

A

Step-by-step explanation:

5x=10.5

x=2.1

Answer:

X = 920

Step-by-step explanation:

To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.

Hope this helped!

A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x. Therefore, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Hence, the value of x rounded to the nearest whole number is 920.

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Answer:

37.3 ft

Step-by-step explanation:

x/56 = 32/48

cross multiply:

56x32 = 1792

48x

1792/48 = 37.3

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

[tex]d_1=2 - 16 = -14[/tex]

[tex]d_2=-2 - 2 = -4[/tex]

[tex]d_3 = 4--2 = 6[/tex]

[tex]d_4 = 20 - 4 = 16[/tex]

(2) Subtract adjacent differences in (1) above

[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]

[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]

[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function

Answer:

2nd one and the last one

Step-by-step explanation:

Answer:

The calculated χ² =   0.842   does not  fall in the critical region χ² ≥  5.99  so we accept the null hypothesis that all the proportions  are  equal and there is not enough evidence to doubt the supermarket's claim.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: p1= 5/18, p2=  4/18, p3= 9/18

against the claim

Ha:  p1≠ 5, p2≠  4, p3≠ 9

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with  2 d.f

4) Computations:

Observed            Expected      χ²= ∑ (O - E)²/ E

5                            5.4               0.0296

4                            5.4                0.3629

9                            7.2               0.45                        

∑                                                 0.842            

5) The critical region is χ² ≥ χ² (0.05)2 = 5.99

6) Conclusion:

The calculated χ² =   0.842   does not  fall in the critical region χ² ≥  5.99  so we accept the null hypothesis that all the proportions  are  equal and there is not enough evidence to doubt the supermarket's claim.

Answer:

Hello Love!

8 ÷ 3/5 = 13 1/3 sense thats a mixed fraction I'll convert it and it converts to 13 x 3 + 1 = 40 so 40/3 is our answer

Answer:

6x - 3 y = 6

6x + 8y = -16

multiply equation 2 by -1

-6y -8y = 16

6x - 3y = 6

-11y =22

y = -2

substitute the value of y in 1

6x - 3(-2) = 6

6x + 6 =6

6x =0

x = 0

(x;y)

[0; -2]

9) 4x + 3y = 19

6x + 3y =33

multiply equation 2 by -1

4x + 3y = 19

-6x - 3y = -33

eliminate one variable by adding the equations

-2x =-14

x = 7

substitute the value of x in the equation

4(7) +3y = 19

28+ 3y = 19

3y =-9

y = -3

(x;y)

[7 ; -3]

10 ) 2x + 6y = 17

2x - 10y = 9

multiply by -1 in equation2

2x +6y = 17

-2x + 10 y = -9

eliminate one variable by adding the equations

16 y = 8

y = 1/2

substitute the value of y in the equation.

2x +6 (1/2) = 17

2x + 3 = 17

2x = 14

x = 7

x:y

[7 ; 1/2 ]

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.