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3 years ago

Graph the system of equations. {6x−4y=−24

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

Nicely done by the on-line graphing calculator at desmos.com.

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he average score of students on an anthropology test is 32, and the standard deviation is 3.5, For this normally distributed dat

Brums [2.3K]

Answer: if it’s median write all numbers and cross till you get to the middle

Step-by-step explanation:

8 0

3 years ago

The resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. U

Liono4ka [1.6K]

Answer:

84%

Step-by-step explanation:

The empirical rule states that 68% values are within 1 standard deviation of mean, i.e,

or from 55 to 85. Since normal distribution is symmetric, we must have (32%) outside this range, and 32/2=16% on the right if this range. Hence below 85 we have (100-16) % = 84%

7 0

3 years ago

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

Factor the following expression <br> 10x^5+5x^3-14x^2-7-

Tatiana [17]

Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7 (By the commutative property)

=2x^2(5x^3-7)+5x^3-7 (Taking 2x^3 common from first two terms )

=(5x^3-7)(2x^2+1) (Taking 5x^3-7 common from both terms)

\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)

Hence, Option C is correct

5 0

3 years ago

What happens when there is a low camber?

ra1l [238]

I really sorry I have to do this I'm in a test I need help

6 0

3 years ago