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antiseptic1488 [7]
3 years ago
5

Helpppppppppp meeee please

Mathematics
1 answer:
Artemon [7]3 years ago
3 0

Answer:

<2 and <8

<3 and <5

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

This is my 100th question answered!

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A roll of carpet that contains 250 yd of carpet will cover how many rooms if each room requires 7 3/4 yards of carpet?
iren [92.7K]

Answer: 32 room

Step-by-step explanation:

7\frac{3}{4} =\frac{4(7)+3}{4} =\frac{28+3}{4} =\frac{31}{4}=7.75

<u>If 1 room = 7.75 yd of carpet ⇒ x rooms = 250 yd of carpet</u>

Use proportions & cross-multiply to solve:

\frac{1}{7.75} =\frac{x}{250}\\7.75x=250\\x=\frac{250}{7.75} =32.258

So 250 yd of carpet can cover about 32 rooms.

3 0
2 years ago
Can Somebody Solve This Equation ?
Lyrx [107]
30x+10
30•9+10
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7 0
3 years ago
What is the weekly earnings of $4.75 per hour, 37 hours if all hours over 50 are paid time and a half?
Stels [109]

37* 4.75 =175.75

no overtime since there are no hours over 50

Answer: $175.75


7 0
3 years ago
A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent
frutty [35]

A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

A normally distributed data set has a mean of 0 and a standard deviation of 2.

Z=(x-\mu)/\sigma

P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1

P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)……….(by symmetry)

=.49865+.3413

.83995…….(by (http://83995…….by) table value)

=.8400 × 100

=84%

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

4 0
1 year ago
Simplify. Assume that no denominator is equal to zero.
nikklg [1K]

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(2a^7b)^2}{32b^6}\implies \cfrac{(2^2a^{7\cdot 2}b^2)}{32b^6}\implies \cfrac{4a^{14}b^2}{32b^6}\implies \cfrac{a^{14}}{8b^6b^{-2}}\implies \cfrac{a^{14}}{8b^{6-2}}\implies \cfrac{a^{14}}{8b^4}

8 0
3 years ago
Read 2 more answers
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