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Answer:

x = 19 , y = 54

Step-by-step explanation:

Answer:

q = -2

Step-by-step explanation:

Constant = whole number

If the two lines are parallel the slopes would be equal.

So if the first line is y = -2x + 5/3

The the second line would become y = -2x + 6.

If q becomes -2, it will be a constant and the two lines will also be parallel

Answer:

4/3

Step-by-step explanation:

11 - 3 = 8

8 - 2 = 6

8/6 = 4/3

Rise 4 Run 3

Answer:

The value of E [Z]  is 0.50.

Step-by-step explanation:

The expected value is computed using the formula:

[tex]E(X)=\sum x\cdot P(X= x)[/tex]

Denote the three dices as follows:

X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

[tex]I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.[/tex]

The probability of rolling a 4 in the three dices are as follows:

[tex]P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}[/tex]

Compute the value of E [Z] as follows:

[tex]E(Z)=E(I_{1})+E(I_{2})+E(I_{3})[/tex]

         [tex]=(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50[/tex]

Thus, the value of E [Z]  is 0.50.

Answer:

21

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

113 (d)

Step-by-step explanation:

Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer  is D.

Answer:

1 5/8

Step-by-step explanation:

15/8 = 1 7/8

Answer:

102

Explanation: 66+36 (9 times 4 is 36 and u add it to the 66 because u have to add 9 four times.)

self check

66+9= 75 (1st slot)

75+9=84 (2nd slot)

84+9= 93 (3rd slot)

93+9= 102 (4th and final slot, what u were looking for to begin with)

Answer:

the 3/4:6/8. Hope that helped

Answer:

It is 4.472135955, which simplifies to 4.47

Step-by-step explanation:

Step-by-step explanation: The square root of 20 is not a perfect square.

In other words, it's impossible to find a whole number

times itself that gives us a product of 20.

However, we can simplify it.

20 breaks down into 2 x 10 and 10 breaks down into 2 x 5.

Since the 2's pair up as factors of 20, a 2 comes out of the radical.

Since the 5 doesn't pair up, it stays inside.

So our answer is 2√5.

Answer:

a)  The 90% confidence interval for the mean noise level at such locations      

  (112.46 , 163.54)

b) The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

Step-by-step explanation:

Step(i) :-

Noise levels at 3 airports were measured in decibels yielding the following data

108   146   160

Mean of given data

         [tex]x^{-} = \frac{108+146+160}{3} = 138[/tex]

x          :     108   146   160

x-x⁻      :      -30   8       22

(x-x⁻ )² :     900   64     484

Variance  σ ² = ∑(x-x⁻ )²/ n-1

                                        = [tex]\frac{900+64+484}{3-1}= 724[/tex]

Standard deviation  

                σ = √724 = 26.90

Step(ii):-

The 90% confidence interval for the mean noise level at such locations                        

       [tex](x^{-} - Z_{0.90} \frac{S.D}{\sqrt{n} } , (x^{-} + Z_{0.90} \frac{S.D}{\sqrt{n} } )[/tex]

The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

         [tex](138 - 1.645 \frac{26.90}{\sqrt{3} } , (138 + 1.645 \frac{26.90}{\sqrt{3} } )[/tex]

        ( 138 - 25.54 , 138 + 25.54 )

        (112.46 , 163.54)

Answer:

20.4

Step-by-step explanation:

Answer:

20.4 would be the diameter :)

Step-by-step explanation:

mark brainliest?

Answer:

2 jelly beans were red

Step-by-step explanation:

40/360=20/180=10/90=(divide 5)2/18=1/9-simplifying

1/9/0.1111111111111111111

1/9 times 18 =2,

Answer:

(a) The proportion of international students in the statistic department is 25%.

(b) The proportion of master students among all domestic students is 20%.

Step-by-step explanation:

The following can first be obtained from the question:

Total number of graduate students = 60

Number of PhD students = 45

Number of Master students = 15

Percentage of international students among the master students = 40%

Percentage of international students among the PhD students = 20%

Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6

Number of international PhD students = Number of PhD students * Percentage of international students among the PhD students = 45 * 20% = 9

The questions can now be answered as follows:

(a) What is the proportion of international students in the statistic department?

This can be calculated as follows:

Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15

Total number of graduate students = 60

Proportion of international students in the statistic department = Total number of international students / Total number of graduate students = 15 / 60 = 0.25, or 25%

Therefore, the proportion of international students in the statistic department is 25%.

(b) What is the proportion of master students among all domestic students.

This can be calculated as follows:

Total number of graduate students = 60

Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15

Total number of domestic students = Total number of graduate students - Total number of international students = 60 - 15 = 45

Number of Master students = 15

Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6

Number of domestic master students = Number of Master students - Number of international master students = 15 - 6 = 9

Proportion of master students among all domestic students = Number of domestic master students / Total number of domestic students = 9 / 45 = 0.20, or 20%

Therefore, the proportion of master students among all domestic students is 20%.

Don't get mad at me for at least trying to help because i also have no idea

Step-by-step explanation:

Answer: 5.08

Step-by-step explanation: you have to convert it to an improper fraction

Hi i'm here to help the answer is 78 please mark me brainliest

Answer:

C. [tex] y = -x + 2 [/tex]

Step-by-step explanation:

First, find the slope, m, of the line that passes through the two given points.

Slope = [tex] \frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1 [/tex]

Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in [tex] y = mx + b [/tex].

✅The equation would be:

[tex] y = -1x + 2 [/tex]

[tex] y = -x + 2 [/tex]

Answer:

$30.76

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

Step-by-step explanation:

It might help to use decimals

1 1/8 = 1.125

4 2/5 = 4.4

Add these together

1.125 + 4.4 = 5.525 That's the correct answer, but likely not in the form you wanted.

1 1/8 = 9/8

4 2/5 = 22/5

9/8 + 22/5

multiply through by the Lowest Common Denominator

9*5/40 + 22*8/40 =

45/40 + 176/40

221/40

5.525

5 21/40

You get the fraction by multiplying 40 * 0.525 which is 21

So you can express 0.525 as 21 / 40

Answer:

The formula is;

V = 275,000(0.9)^n

The value of the machine after 5 years is $162,384.75

Step-by-step explanation:

Here, we want to find the formula for the value of the machine after n years

Mathematically, we can use an exponential model for this

V = I ( 1 - r)^n

Where v is the value after n years

I is the value at which the machine was bought

r is the depreciation percentage ; 10% = 10/100 = 0.1

n is the number of years

Thus;

V = 275,000(1 - 0.1)^n

V = 275,000(0.9)^n

The value of the machine after 5 years will be;

V = 275,000(0.9)^5

V = 162,384.75

Answer:

0.006

Step-by-step explanation: