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3 years ago

4q^2 - (qr + 25) if q = 6 and r = 19

1 answer:

7 0

Answer: 5

Explication: Do PEMDAS first solve the parenthesis which is 6x19= 114 then add the 25 which equals 139. Now slice the exponent 6^2=36 then multiply by 4 which equals 144. Subtract 144-139 and you get 5

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What is 2(5x+7)+8x-7=27

shutvik [7]

2(5x+7)+8x-7=27

We move all terms to the left:

2(5x+7)+8x-7-(27)=0

We add all the numbers together, and all the variables

8x+2(5x+7)-34=0

We multiply parentheses

8x+10x+14-34=0

We add all the numbers together, and all the variables

18x-20=0

We move all terms containing x to the left, all other terms to the right

18x=20

x=20/18

x=1+1/9

6 0

3 years ago

Read 2 more answers

From a sample with nequals24, the mean number of televisions per household is 4 with a standard deviation of 1 television. Usin

Otrada [13]

Answer:

At least 18 of the households have between 2 and 6 televisions.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question:

Mean = 4

Standard deviation = 1

Percentage of households that have between 2 and 6 televisions.

2 = 4 - 2*1

So 2 is two standard deviations below the mean

6 = 4 + 2*1

So 6 is two standard deviations above the mean

By Chebyshev's Theorem, at least 75% of the measures are within 2 standard deviations of the mean.

Out of 24

0.75*24 = 18

At least 18 of the households have between 2 and 6 televisions.

6 0

3 years ago

At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an al

Mashutka [201]

Let's assume

boiling point is y

altitude is x

we are given

This relationship between altitude and boiling point is linear

At an altitude of 1000 feet, water boils at 210°F

so, first point is (1000,210)

so, x1=1000 , y1=210

At an altitude of 3000 feet, water boils at 206°F

so, second point is (3000,206)

so, x2=3000,y2=206

now, we can find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{206-210}{3000-1000}$

$m=-\frac{1}{500}$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

so, we can plug it

$y-210=-\frac{1}{500}(x-1000)$

so, point slope form of line is

$y-210=-\frac{1}{500}(x-1000)$

now, we can plug x=8000

and then we can solve for y

$y-210=-\frac{1}{500}(8000-1000)$

$y=196$

So,

the boiling point of water at an altitude of 8000 feet is 196°F..........Answer

4 0

3 years ago

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Megan is making quilts that require 11 feet of cloth each. She has 50 feet of cloth. What are the possible numbers of quilts tha

goldenfox [79]

Answer:

Step-by-step explanation:

Because the fact the quits are ll feet there are 6 feet left over but that can not make 11 feet quilt

5 0

3 years ago

The 7 in 72 represents how many times the value of the 7 in 78 is what ?

earnstyle [38]

Answer:

One time

Step-by-step explanation:

In both the numbers 72 and 78, the place value of 7 is 70.

Hence, 7 in 72 represents one time the value of the 7 in 78.

7 0

3 years ago