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Iteru [2.4K]
3 years ago
12

Rewrite the expression in the form of x ²

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Step-by-step explanation:

Let 8=x

{x}^{ - 4}  \times  {x}^{3}

\frac{1}{ {x}^{4} }  \times  {x}^{2 + 1}

\frac{1}{ {x}^{2 + 2} }  \times  {x}^{2}  \times x

A

\frac{1}{ {x}^{2} }  \times x

\frac{x}{ {x}^{2} }

{x}^{ - 1}

\frac{1}{8}

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Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
uysha [10]

Answer:

$112.80

Step-by-step explanation:

If he earns $0.235 per pack, and there are 480 packs, then our equation is:

0.235 x 480 = $112.80

5 0
3 years ago
Solve for x. Each figure is a trapezoid
Bingel [31]
Pretty sure x is 4 in #9

FG is congruent to ED, and GD and FE are parallel, so that means
16x + 1 = 65

Subtract 1 on both sides you get

16x = 64

Divide by 16 on both sides

x = 4
4 0
3 years ago
About 5% of hourly paid workers in a regioner the prevailing minimum wage or less A grocery chain offers discount rates to compa
Fed [463]

Answer:

0

Step-by-step explanation:

Let X  to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less

The sample size n = 281

The population parameter p = 5% = 0.05

Using normal approximation for the mean.

\mu = np

\mu = 281\times 0.05

\mu = 14.05

The standard deviation is:

\sigma = \sqrt{np(1-p)}

\sigma = \sqrt{281 \times 0.05(1-0.05)}

\sigma = \sqrt{281 \times 0.05(0.95)}

\sigma = \sqrt{13.3475}

\sigma =3.6534

By using continuity correction; the sample mean x is:

x = 30 - 0.5

x = 29.5

The z statistic test can now be as follows:

Z = \dfrac{x-\mu}{\sigma}

Z = \dfrac{29.5-14.05}{3.6534}

Z = \dfrac{15.45}{3.6534}

Z = 4.23

Thus, the probability that company A will get a discount is

P(X ≥ 30) = P(Z >4.23)

= 1 - P(Z < 4.23)

By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;

= 0.0000

7 0
3 years ago
The product of a positive number and 14 more than seven times the number is 105. Find the two numbers. first number =______ and
Nostrana [21]
Let the positive number be x

The expression is
x(14+7x)=105⇒ expanding the bracket gives,
14x+7 x^{2} =105 ⇒ rearranging to equate one side to zero
7x^{2} +14x-105=0 ⇒ Dividing each term by 7 to simplify
x^{2} +2x-15 ⇒ Factorising gives
(x+5)(x-3)=0
x=-5 and x=3

Hence, the first number is -5 and the second number is 3

8 0
4 years ago
Read 2 more answers
Solve the inequality for x. –2x – 3 &gt; 13 A) x &lt; –5 B) x &lt; –8 C) x &gt; –5 D) x &gt; –8
s344n2d4d5 [400]

Answer:

B x<-8

Step-by-step explanation:

-2x -3> 13

-2x > 13+3

-2x >16

since you will divide both side by a negative number, the operator will change from > to <

-2x /-2 < 16/-2

x<-8

5 0
3 years ago
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