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2 years ago

Which expression represents the prime factorization of 108?

Mathematics

1 answer:

ankoles [38]2 years ago

4 0

Answer:

2×2×3×3×3

Step-by-step explanation:

●108=

•2×54

•2×27

•3×9

• 3×3

Writing the prime numbers;

108=2×2×3×3×3

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7/7q+21= x /5q^2-45 then x=?

anzhelika [568]

Answer:

x = 5q - 15

Step-by-step explanation:

$\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15$

3 0

2 years ago

Can someone help me please?

kati45 [8]

Answer:

4/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 36 is 4

Divide both the numerator and denominator by the GCD

16 ÷ 4

36 ÷ 4

Reduced fraction:

Therefore, 16/36 simplified to lowest terms is 4/9.

4 0

3 years ago

Read 2 more answers

At one store, 20 percent of the pairs of shoes sold are of men's athletic shoes. Lionel rings up 8 orders which contain one or m

PIT_PIT [208]

B Explanation
Explain

7 0

3 years ago

Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = $\frac{width}{2}$

ME = $\frac{0.14}{2}$

ME = $0.07$

$ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}$

use p = 0.5

z at 95.8% is 1.727(using calculator)

$0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}$

$\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}$

$(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}$

$n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}$

$n \geq 152.169$

So, Option B is true

Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0

2 years ago

A dilation changes the size AND the shape of a figure

dolphi86 [110]

False, it does not change the shape of the figure, it only changes the size

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3 years ago