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Answer: 1.302

Step-by-step explanation:

The sample used was 43 retirees, so n=43. To find the degrees of freedom:

df=n−1=43−1=42

The confidence level is given in the scenario: 80%. So,

α=1−CL=1−0.8=0.2

But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.

We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).

The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean

A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.

here, we have,

The sample used was 43 retirees, so n=43.

To find the degrees of freedom:

df=n−1=43−1=42

The confidence level is given in the scenario: 80%. So,

α=1−CL=1−0.8=0.2

But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.

We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).

Hence, The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean

To learn more about the confidence interval, visit:

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Answer:

3

Step-by-step explanation:

see image below:)

Answer:

[tex]\frac{22^7}{823543}[/tex] B. 3

Step-by-step explanation:

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)

Answer:

$41.75

Step-by-step explanation:

$251-84=167

167 divided by 4 is $41.75

Hope this helps! :)

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]

Answer: raw data

Step-by-step explanation:

Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.

Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.

Answer:

B. $2.42

Step-by-step explanation:

If Liam gave the clerk three $10 bills, that means he gave the clerk $30. This is because 3 times 10 equals 30.

Find how much change he will receive by subtracting $27.58 from the $30 that Liam gave to the clerk:

30 - 27.58

= 2.42

So, Liam will receive $2.42 in change.

The correct answer is B. $2.42

Answer:

 2.42

Step-by-step explanation:

3 ten dollar bills = 3*10 = 30 dollars

Subtract the cost of pizza and wings

30 - 27.58

Line up the decimals

 30.00

- 27.58

----------------

  2.42

Answer:

Diagram 2= 5  

Diagram 3=10

Diagram 4= 15

Diagram 8 would be 35

Step-by-step explanation:

Answer:

The probability of drawing a blue marble is the same as drawing either a red or a green marble. and the probability of not drawing a blue marble is 50%.

Step-by-step explanation:

Answer:

$638.4

Step-by-step explanation:

Randy's gross salary (salary without any deduction) = $760

taxed rate =16%

Amount tax paid =tax% of gross income

=16/100 * $760

=$16*760/100

=$12160/100

=$121.6

net salary = gross salary - tax paid

=$760 - $ 121.6

=$638.4

Randy's net salary is $638.40

Randy's gross salary = $760 per week.

Tax paid on his salary = 16%

Net salary is the difference between the salary earned and the amount paid as tax. This will be:

= Salary - Tax

= $760 - (16% × $760)

= $760 - (0.16 × $760)

= $760 - $121.60

= $638.40

Read related link on:

https://brainly.com/question/23421215

Answer:

x = 6.93

y = 13.86

Step-by-step explanation:

We can solve x by;

Tan(60) = 12/x

Tan(60) * x = 12

x = 12 / Tan(60)

x = 6.93

We can solve y by;

A² + B² = C²

12² + 6.93² = y²

144 + 48.02 = y²

192.02 = y²

[tex]\sqrt{192.02}[/tex] = y²

13.86 = y

Hope this helps!

Answer:

Step-by-step explanation:

b,e

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

Answer:

The total amount is 384

Step-by-step explanation:

Let m = the amount of money

5/8 of the money is 240

5/8 * m = 240

Multiply each side by 8/5

8/5 * 5/8 * m = 8/5 * 240

m =384

The total amount is 384

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

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

Where [tex]a_{1}[/tex] is the first term, [tex]a_{n}[/tex] is the nth term, and [tex]d[/tex] is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do [tex]10-2[/tex], which is [tex]8[/tex] , or the common difference. Since we have everything we need, it can be plugged into the equation:

[tex]a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482[/tex]

So, the 61st term is 482.

I'm sorry I can't answer that but I know something so you can answer that. search in browser 'quickmath' all your problems, equations and more can be solved

Step-by-step explanation:

I hope it helps trust me

Answer:

16

Step-by-step explanation:

8÷2(2+2)​

From PEMDAS, we do the equation in the parenthesis first.

8÷2(4)

Since this is division and multiplication we go left to right.

4(4)

16

Hey there!

[tex]\large\textsf{Do PEMDAS:}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents} \\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\textsf{Subtraction}[/tex]

[tex]\large\textsf{8 }\mathsf{\div}\large\textsf{ 2 (2 + 2)}\\\\\large\textsf{2 + 2}\\\large\text{= \bf 4}}\\\\\large\textsf{8 }\mathsf{\div }\large\textsf{ 2(4)}\\\\\large\textsf{8 }\mathsf{\div}\large\textsf{ 2}\\\large\textsf{= \bf 4}\\\\\large\textsf{4(4)}\\\large\textsf{= \bf 16}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 16}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

First fill in the missing angles of each triangle:

angle IJK = 180-47-51 = 82°

angle KJL = 180 - 63 - 57 = 60°

Within EACH triangle, the side length is proportional to the opposite angle.

Therefore for triangle IJK,

JK < JL < IK

and for triangle JKL

JL < KL <JK

so combining (chaining) the two inequalities,

JL < LK <JK < JL < IK

Answer:

Step-by-step explanation:

first lets find angle J in triangle IJK

for angle J

47 + 51 + angle J =180 degree (sum of interior angle of a triangle )

98 + angle J =180

angle J =180 - 98

angle J =82 degree

Now lets find angle J in triangle JKL

for angle J

57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)

120 + angle J =180

angle J = 180 - 120

angle J =60 degree

now lets place the angle from samllest to largest

angle I = 41 degree

angle K = 51 degree

angle K of JKL triangle = 57 degree

angle J of JKL triangle = 60 degree

angle L =63 degree

angle J of IJK triangle = 80 degree

Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,

side opposite to angle I is JK

side opposite to angle K is IJ

side opposite to angle K of JKL triangle is JL.

side opposite to angle J of JKL triangle is LK.

side opposite to angle L is JK.

side opposite to angle J of IJK triangle is IK.

therefore required answer is

JK , IJ , JL , LK , JK , IK

9514 1404 393

Answer:

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

Answer:

m = 11581.2 grams

Step-by-step explanation:

Given that,

The density of the ball, d = 0.2 g/in³

The radius of the ball, r = 24 inches

We need to find the mass of the ball in grams.

The density of an object is hiven by :

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\dfrac{4}{3}\pi r^3}\\\\m=\dfrac{4}{3}\pi r^3\times d[/tex]

Put all the values,

[tex]m=\dfrac{4}{3}\pi \times 24^3\times 0.2\\\\m=11581.16\ g[/tex]

or

m = 11581.2 grams

Hence, the mass of the ball is 11581.2 grams.

Answer:

hear is your required answer

Answer:

please see the image given above. hope this helps

Answer:

The distribution is negatively (left) skewed

Step-by-step explanation:

Notice how most of the data is clustered on the right side of the distribution and there's more spread in the left side of the data, meaning the left tail is longer. This creates a negative skew in the data. Review the attached diagram to learn more.

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

Base: 3 units

Height: 5 units

Area: 15 square units

         ([tex]A=b*h=3*5=15[/tex])

hope this helps :)

Answer:

yes

Step-by-step explanation:

the packs are fighting for a common goal against each other

so they are competing

Answer:

3/8 pounds is greater than 1/4 pounds

Step-by-step explanation:

Turn 1/4 to 2/8 by multiplying the top and bottom by 2

Compare

3/8>2/8

Answer:

Chisquare goodness of fit test

Step-by-step explanation:

Given the data:

Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26

The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;

Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.

Answer:

Step-by-step explanation:

4(-3)-7+2(-3)+4

 =-21

Answer:

Step-by-step explanation:

the number 2 is in the ones place

its a pretty easy answer