A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results: Day Mon Tue Wed Thu Fri Sat Sun # of sick days 22 11 16 17 21 28 25 They want to perform a x? goodness-of-fit test to determine if these results suggest that employees were more likely to take sick days on certain days. What is the expected count of sick days taken on Saturday? You may round your answer to the nearest hundredth. Expected:

Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

Answer:

You multiply the probabilities together.  The probability of rolling an odd number is 1/2 (because half of the numbers on a number cube are odd).  The probability of rolling a number greater than 1 is 5/6 because 5 of the 6 numbers are greater than 1.  Then multiply those two fractions together to get your answer.

Step-by-step explanation:

Answer:

90ft²

Step-by-step explanation:

Figure shown is a triangle

Area of a triangle = ( base length times height ) divided by 2

The triangle has a given height of 12 ft and a given base length of 15 ft

Hence area = ( 12 * 15 ) / 2

12 * 15 = 180

180 / 2 = 90

area = 90ft²

Answer:

Area is 90 degrees.

Step-by-step explanation:

The formula for the area of a triangle is (h*b)/2=A

We know height is 12.

We know base is 15.

So lets plug these in:

(12*15)/2=A

180/2=A

90=A

So 90 is our answer!

Hope this helps!

Answer:

$38,025.04

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8.4/100

r = 0.084 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 1,200.00(1 + 0.084/2)(2)(42)

A = 1,200.00(1 + 0.042)(84)

A = $38,025.04

Answer:

Step-by-step explanation:

To begin, get everything but the x terms on one side of the equation by subtracting the 62. That gives us

[tex]x^2+16x=-55[/tex]

Next, take half the linear term, square it, and add it to both sides. Our linear term is 16. Half of 16 is 8, and 8 squared is 6, so add 64 to both sides:

[tex]x^2+16x+64=9[/tex]

The reason we do this is to get a perfect square binomial on the left, which looks like this:

[tex](x+8)^2=9[/tex]. Undo the squaring on the left by taking the square root of both sides. Doing this leaves x + 8 on the left, but + or - 3 on the right:

x + 8 = 3 and x + 8 = -3. Solving each of these equations gives you your 2 solutions:

x = -5 and x = -11

Answer:

Here are the aswers

Step-by-step explanation:

jackson=618

leslie=587

I hope this helps?!?

Answer:

the third option

4, 2.75, 1.5, 0.25, -1, -2.25, ...

Step-by-step explanation:

the first value in the sequence is 4.

that eliminates already answer options 1 and 2.

and the values are going down, as we continuously subtract 1.25 from the previous sequence number.

but answer option 4 shows a sequence, where the values go up.

so, only option 3 remains and is correct

4-1.25 = 2.75

2.75-1.25 = 1.5

1.5-1.25 = 0.25

0.25-1.25 = -1

...

damp everyone is giving exams lol

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Answer:

B.     1.8 x 10⁴

Step-by-step explanation:

6.3 / 3.5 = 1.8

10⁷/ 10³ = 10⁴

Therefor

6.3 x 10⁷ / 3.5 x 10³ = 1.8 x 10⁴

Answer:

Hope it is helpful to you ☺️

Answer:

x= 2, y= 8

Step-by-step explanation:

y= 3x +2 -----(1)

y= -2x +12 -----(2)

Substitute (1) into (2):

3x +2= -2x +12

Move x terms to 1 side, constant to the other:

3x +2x= 12 -2

Simplify:

5x= 10

Divide both sides by 5:

x= 10 ÷5

x= 2

Substitute x=2 into (1):

y= 3(2) +2

y= 6 +2

y= 8

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order

since they are already in the order we dont need to change

first quartile(Q1)=(N+1)/4

=7+1/4

=8/4

=2 nd term

=43

second quartile(Q2 or median)=(N+1)/2

=7+1/2

=8/2

=4 th term

=44

third quartile(Q3)=3(N+1)/4

=3(7+1)/4

=3*8/4

=24/4

=6 th term

=49

Answer:

33.1

Step-by-step explanation:

cos(65)=14/x

x=33.1

Answer:

(8,6)

Step-by-step explanation:

See image below:)

FYI you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free:)

Answer:

Yes

Step-by-step explanation:

3:1 x 3 = 9:3

3:1 x 5 = 15:5

Answer:

r≈4.5 ft

Step-by-step explanation:

r≈4.5 ft

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

384=

384=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

3

4

​

π)r

3

384=

384=

\,\,(4.1887902)r^3

(4.1887902)r

3

Evaluate 4/3pi in calc

\frac{384}{4.1887902}=

4.1887902

384

​

=

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

3

​

Evaluate \frac{4}{3}\pi

3

4

​

π in calc

91.6732472=

91.6732472=

\,\,r^3

r

3

\sqrt[3]{91.6732472}=

3

91.6732472

​

=

\,\,\sqrt[3]{r^3}

3

r

3

​

Cube root both sides

4.5090066=

4.5090066=

\,\,r

r

\text{Final Answer:}

Final Answer:

r\approx 4.5\text{ ft}

r≈4.5 ft

Round to nearest tenth

The radius of the sphere is approximately 4.2 feet.

To find the volume of a specific sphere, we need to know its radius. Once we have the radius, we can plug it into the formula and calculate the volume.

The formula for the volume of a sphere is:

V = (4/3) x π x r^3

where V is the volume of the sphere, r is its radius, and π is a mathematical constant approximately equal to 3.14.

We are given the volume of the sphere, so we can plug it into the formula and solve for the radius:

384 = (4/3)  x π  x r^3

Dividing both sides by (4/3) x π, we get:

r³ = 384 / ((4/3) x π)

r³ = 72.825

Taking the cube root of both sides, we get:

r ≈ 4.243

The radius of the sphere is approximately 4.2 feet.

To know more about volume follow

https://brainly.com/question/29091596

#SPJ2

Answer:

The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96\sqrt{\sigma}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]

[tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]

The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.

Answer:

[tex]simple \: interest = \frac{ptr}{100} \\ si = \frac{1540 \times 2 \times 8.25}{100 } \\ = 254.1[/tex]

Answer:

-60

Step-by-step explanation:

-42+3*-6

-42-18

-60

Answer:

ans: 2 terms

Step-by-step explanation:

1st term: -3p^9

2nd term: -7p

Answer:

-3, -4, -5

Step-by-step explanation:

x = 1st integer

x+1 = 2nd integer

x+2 = 3rd integer

x+x+1 = 3(x+2)

2x + 1 = 3x + 6

1 = x + 6

-5 = x

-4 = x+1

-3 = x+2

Answer:

(x+2)(x-4)(x-3)

(x²-4x+2x-2)(x-3)

(x²-2x-2)(x-3)

=x³-5x²-2x+24

So the answer true

Answer:

3x-2y > 6

Step-by-step explanation:

3x-2y > 6

see attached figure.

Answer:

n=13

Step-by-step explanation:

the equation 8 is 5 less than a number n

n-5=8

n=?

n=8+5

=13

n=13

Answer:

13

Step-by-step explanation:

the equation 8 is 5 less than a number n

n-5=8

n=?

n=5+8

=13

Answer

Step-by-step explanation:

Replace x and y

[tex](3 \: \: \: 25)[/tex]

[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]

So, the point (3,25) lie on the line y=6x+7

hope this helps you.

Have a nice day!

Answer:

This is the answer

Step-by-step explanation:

This is the solution, hope it helps

Answer:

OK but first follow me .plz........