X
10
11
12
y
27
a
11

In order for the data in the table to represent a linear
function with a rate of change of -8, what must be the
value of a?

0
a = 2
a=3
a = 19
a = 35

Answer:

her salary will increase by $ 145 for every week

Step-by-step explanation:

x=1st paycheck (integer).

weekly raise = $ 145.

After completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get

$ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Answer:

0.913716

Step-by-step explanation:

Given a normal distribution :

Mean, x = 1050

Standard deviation, σ = 375

The Zscore = (x - mean) / σ

Zscore = (675 - 1050) / 275

Zscore = - 1.364

The probability :

P(Z > - 1.364)

P(Z > - 1.364) = 1 - P(Z < - 1.364) = 1 - 0.086284

P(Z > - 1.364) = 0.913716

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Answer:

  5/3

Step-by-step explanation:

The prime factorizations are ...

  10 = 2·5

  12 = 2·2·3

Then *10* = 5 and *12* = 3, so *10*/*12* = 5/3.

Answer:

d)6.00

d)3.00

Step-by-step explanation:

We are given that

n=4 scores

[tex]S^2_1=68[/tex]

[tex]S^2_2=76[/tex]

We have to find the  difference should be expected, on average, between the two sample means.

[tex]S_{M_1-M_2}=\sqrt{\frac{S^2_1}{n_1}+\frac{S^2_2}{n_2}}[/tex]

[tex]n_1=n_2=4[/tex]

Using the formula

[tex]S_{M_1-M_2}=\sqrt{\frac{68}{4}+\frac{76}{4}}[/tex]

[tex]S_{M_1-M_2}=\sqrt{\frac{68+76}{4}}[/tex]

[tex]S_{M_1-M_2}=\sqrt{36}=6[/tex]

Option d is correct.

Now, replace n by 16

[tex]n_1=n_2=16[/tex]

[tex]S_{M_1-M_2}=\sqrt{\frac{68}{16}+\frac{76}{16}}[/tex]

[tex]S_{M_1-M_2}=\sqrt{\frac{68+76}{16}}[/tex]

[tex]S_{M_1-M_2}=\sqrt{9}=3[/tex]

Option d is correct.

Answer:

[tex]31y^{3} -28y^{2}[/tex]+35y

Step-by-step explanation:

Step 1: Find the circumference of the circle

Formula for circumference: C = 2 * pi * r

C = 2 * pi * 27

C = 54pi

Step 2: Find the length of the desired arc

We are only looking for 20 degrees out of 360 degrees, therefore we can multiply our circumference by 20/360.

20/360 * 54pi = 3pi units

Hope this helps!

Answer:

1/6 < 2/11

Step-by-step explanation:

1/6 = 2/12

2/11 >2/12

So that means 1/6 < 2/11

Answer:  1/6 < 2/11

This is the same as saying 11/66 < 12/66

===========================================================

Explanation:

1/6 is the same as 11/66 when multiplying top and bottom by 11.

2/11 is the same as 12/66 when multiplying top and bottom by 6.

The 6 and 11 multipliers are from the original denominators (just swapped).

We can see that 11/66 is smaller than 12/66, simply because 11 < 12, so that means 1/6 is smaller than 2/11

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

Here's one way you could list out the steps

11 < 12

11/66 < 12/66

1/6 < 2/11

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

Here's another way to list out the steps. First assume that 1/6 and 2/11 are equal. Cross multiplication then leads to

1/6 = 2/11

1*11 = 6*2

11 = 12

Which is false. But we can fix this by replacing every equal sign with a less than sign

1/6 < 2/11

1*11 < 6*2

11 < 12

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

Yet another way to see which is smaller is to use your calculator or long division to find the decimal form of each value

1/6 = 0.1667 approximately

2/11 = 0.1818 approximately

We see that 0.1667 is smaller than 0.1818, which must mean 1/6 is smaller than 2/11.

Answer:

[tex]\sqrt[3]{x^5 \ y } = (x^5 y)^\frac{1}{3} = x^{ \frac{5}{3}} \ y^ { \frac{1}{3}}[/tex]

Answer:

[tex] {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } [/tex]

Step-by-step explanation:

A cube root is equivalent to the power of 1/3, so by taking the powers of the exponents and multiplying them by 1/3, you get your answer.

Answer:

9500 × 1.02^7

Step-by-step explanation:

9500 × 1.02^7

Calculate that

True

Step-by-step explanation:

[tex]P(t) = I^2(t)R[/tex]

Taking the derivative of P(t) with respect to time,

[tex]\dfrac{dP(t)}{dt} = 2I(t)\dfrac{dI(t)}{dt}R[/tex]

[tex]\:\:\:\:\:\:\:\:= 2(1)(-0.5)(500) = -500[/tex]

Answer:

4.24 inches

Step-by-step explanation:

1 inch / 50 miles = x / 212 miles      Cross multiply

1 inch * 212 miles = 50 miles * x      Divide by 50 miles

1 inch * 212 miles / 50 miles = x

x = 4.24 inches.

How much is 0.24 of an inch?

0.24 * 50 = 12

So 0.24 inches represents 12 miles.

Answer:

Kindly check the attached picture

Step-by-step explanation:

The solution to the problem has been explicitly solved in the picture attached below :

We need to find a number that makes the denominator a perfect cube in other to simplify the expression which is 25/25.

Kindly check the attached picture for detailed explanation

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Answer:

  22

Step-by-step explanation:

For calculators without a cube root key, you can use the 1/3 power. The attached shows the quotient to be about 22.

Answer:

The average high school GPA of all students enrolled at a Regents University in Kansas

Step-by-step explanation:

Descriptive statistics refers to aspect of statistics which is employed when summarizing data. Descriptive statistics often use measure of center such as, mean, median and mode to give consider summary of both sample and population data. Measures of spread such as standard deviation and variance and so on also form part of descriptive statistics used for data summarization.

In the scenario described above, the descriptive statistic which the study intends to infer is the average or mean high school GPA of all students enrolled at a Regents University in Kansas. This mean value will be a single value which describes the GPA of all high school students.

10x-5

Answer:

5(2x-1)

5*2x 5*-1

10x-5

Hey there!

5(2x - 1)

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer should be: 5x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

0.5 liters of milk are available per child.

Step-by-step explanation:

Amount of milk available per children:

The amount of milk, in liters, available for x children is given by:

[tex]m(x) = \frac{25}{x}[/tex]

50 children are present on a day

This means that [tex]x = 50[/tex]

How much milk is available per child?

This is m(50). So

[tex]m(50) = \frac{25}{50} = 0.5[/tex]

0.5 liters of milk are available per child.

Answer:

[tex]d = \frac{4c}{3x + 4} [/tex]

Step-by-step explanation:

[tex]3x = \frac{4(c - d)}{d} [/tex]

Multiply both sides by d:

[tex]3xd = 4(c - d)[/tex]

Expand:

[tex]3xd = 4c \: - 4d[/tex]

+4d on both sides:

[tex]3xd + 4d = 4c[/tex]

Factorise d out of the left-hand side:

[tex]d(3x + 4) = 4c[/tex]

Divide both sides by (3x +4):

[tex]d = \frac{4c}{3x + 4} [/tex]

Answer:

D = -23

Step-by-step explanation:

Answer:

D) -23

Step-by-step explanation:

Definitely

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

we cannot see the diagram, so we don't know how many layers of bricks are used. and therefore it is impossible to tell the height of the wall.

Answer:

65 km/hr

Step-by-step explanation:

The average of numbers can be calculated by adding them up and dividing that by how many numbers there are.

Here, we have two numbers. Therefore, we first add them (55+75 = 130) and then divide by 2 because there are 2 numbers, so 130/2 = 65

Answer:

I think that answer would be B.

Step-by-step explanation:

Answer:

x P(x)

0 0.4167

1 0.5

2 0.0833

3 0

Step-by-step explanation:

The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

7 + 2 = 9 speedometers, which means that [tex]N = 9[/tex]

2 are not correctly calibrated, which means that [tex]k = 2[/tex]

3 are chosen, which means that [tex]n = 3[/tex]

Complete the probability distribution table.

Probability of each outcome.

So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,9,3,2) = \frac{C_{2,0}*C_{7,3}}{C_{9,3}} = 0.4167[/tex]

[tex]P(X = 1) = h(1,9,3,2) = \frac{C_{2,1}*C_{7,2}}{C_{9,3}} = 0.5[/tex]

[tex]P(X = 2) = h(2,9,3,2) = \frac{C_{2,2}*C_{7,1}}{C_{9,3}} = 0.0833[/tex]

Only 2 defective, so [tex]P(X = 3) = 0[/tex]

Probability distribution table:

x P(x)

0 0.4167

1 0.5

2 0.0833

3 0

Answer: 54 SQUARE UNITS ITHINK!!

Step-by-step explanation:

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

Explanation:

The coefficients -24 and 8 divide to -24/8 = -3. Based on this alone, the answer is between choices B and C.

The m terms divide to [tex]\frac{m^5}{m^{-7}} = m^{5-(-7)} = m^{5+7} = m^{12}[/tex]

Notice how I subtracted the exponents. The general rule is [tex]\frac{a^b}{a^{c}} = a^{b-c}[/tex]

Since we get m^12, this points us to choice C as the final answer

For the sake of completeness, here's what the n terms divide to

[tex]\frac{n^4}{n^{-2}} = n^{4-(-2)} = n^{4+2} = n^{6}[/tex]

Answer:

The zeroes of f(x) = (x-7)(x+8) are 7 and -8.

Step-by-step explanation:

You have to figure out what makes each of the equal to zero.

Step 1 : Make the 2 equations both equal 0.

x-7 = 0

x+8 = 0

Step 2: Solve for x

x-7 = 0

x=7

x+8 = 0

x=-8

So 7 and -8 are both zeroes of this function.

Answer:

1)250 2) 144 3)

Step-by-step explanation:

1) 12/100 = 30/x 2) 1200*0.88

12x=3000                1200-1056

x=250                             144

3)800*0.15   4) 45.12*0.18

  800-120         45.12+8.12

    680                about 53.24