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3 years ago

Which lists all the integer solutions of the equations |x| = 10?

Mathematics

1 answer:

Ratling [72]3 years ago

7 0

Answer:

D -10 and 10

Step-by-step explanation:

so what ever you put in x has to equal 10

so if you put in -10 the absolute value of -10 is 10 and 10 is = to 10

same thing with 10

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How many positive integers can be expressed ad a product of two or more of the prime numbers 5,7,11,and 13 if no one product is

sertanlavr [38]

Answer:

11 positive integers can be expressed.

Step-by-step explanation:

Consider the provided information.

The number of possible prime numbers are 5,7,11,and 13.

There are 4 possible prime numbers.

How many positive integers can be expressed as a product of two or more of the prime numbers, that means there can be product of two numbers, three number or four numbers.

The formula to calculate combinations is: $^nC_r=\frac{n!}{r!(n-r)!}$

The number of ways are:

$^4C_2+^4C_3+^4C_4=\frac{4!}{2!(4-2)!}+\frac{4!}{3!(4-3)!}+\frac{4!}{4!}$

$^4C_2+^4C_3+^4C_4=\frac{4!}{2!2!}+\frac{4!}{3!}+1$

$^4C_2+^4C_3+^4C_4=6+4+1$

$^4C_2+^4C_3+^4C_4=11$

Hence, 11 positive integers can be expressed.

8 0

3 years ago

What is the perimeter of a rectangle whose width is (x - 7) units and whose length is (3x + 10) units?

FromTheMoon [43]

Answer:

The answer is "(8x + 6) units".

Step-by-step explanation:

Formula of perimeter is:

$\to \bold{P=2 \text{(Length +width)} }$

$=2((3x+10)+(x-7))\\\\=2(4x+3)\\\\= 8x+6$

4 0

3 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

You need to figure out how much money you make each week at the sales job. Assume you work a

Over [174]

Answer:

This true because why ?

Step-by-step explanation:

3 0

3 years ago

What is the measure ??

alexandr402 [8]

Welcome

d the answer is 73 degrees
$114 - 41 = 73$

5 0

3 years ago