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Hoochie [10]
3 years ago
5

7 inches by 4 inches. the frame is created from 10 square inches of framing material

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0
74 inches whskdnsaskfis
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Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y grea
zepelin [54]

The expression √(128x⁸y³z⁹) is equivalent to the expression 8x⁴yz⁴ √(2yz). Then the correct option is C.

The missing options are given below.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ √(128x⁸y³z⁹)

Then the expression is given below.

⇒ √[(64 × 2)(x⁴)²(y²y)(z⁸z)]

⇒ 8x⁴yz⁴ √(2yz)

Then the correct option is C.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

4 0
2 years ago
Will mark correct answer branliest!!!
WITCHER [35]

Answer: A = 4    P = π     PS = -π/2

<u>Step-by-step explanation:</u>

y = A sin(Bx - C) + D      where

  • A is the amplitude
  • Period = 2π/B
  • Phase Shift = C/B
  • D is the vertical shift

Given:  y = -4 sin(2x + π) - 3

  • A (amplitude) = 4      <em>the negative sign is a reflection, not amplitude</em>
  • B = 2
  • C = -π
  • D = -3

Amplitude = 4

\text{Period}=\dfrac{2\pi}{B}\quad =\quad \dfrac{2\pi}{2}\quad =\quad \pi

\text{Phase Shift}=\dfrac{C}{B}\quad =\quad \dfrac{-\pi}{2}\quad =\quad -\dfrac{\pi}{2}

4 0
3 years ago
A popular soft drink is sold in 2-liter (2000 milliliter) bottles. Because of variation in the filling process, bottles have a m
andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 2000, \sigma = 18

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So n = 100, s = \frac{18}{\sqrt{100}} = 1.8

This probability is the pvalue of Z when X = 1995. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1995 - 2000}{1.8}

Z = -2.78

Z = -2.78 has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when Z = 1.28

Z = \frac{X - \mu}{s}

1.28 = \frac{X - 2000}{1.8}

X - 2000 = 1.8*1.28

X = 2002.3

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

3 0
2 years ago
In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to s
V125BC [204]

Answer:

Step-by-step explanation:

you have 1144 books but without knowing how many rows there  are i cant help you find the minimum number.

but all you have to do is take the number of the books all together (1144)

then divide that number by how many rows or shelf there are

7 0
3 years ago
‼️10 points‼️
kramer
The answer is d, hope this helps
8 0
2 years ago
Read 2 more answers
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