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2 years ago

What is the slope of the line that passes through the points (3, -2) and (9, -2)?

Mathematics

1 answer:

emmasim [6.3K]2 years ago

5 0

Answer:

a) 0

Step-by-step explanation:

the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)

we are given the points (3,-2) and (9,-2)

we can label the points:

x1=3

y1=-2

x2=9

y2=-2

now substitute into the equation:

m=(-2--2)/(9-3)

simplify

m=(-2+2)/6

m=0/6

m=0

the slope of the line is 0, which is option a

Hope this helps!

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Explain how you can use base 10 blocks to find 2.16÷3

Vikentia [17]

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2 years ago

What is the area of the parallelogram below?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

length = 4

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2 years ago

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, we need 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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2 years ago

A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist

Kisachek [45]

Answer:

The distance travel by cyclist in 20 seconds is 528 feet .

Step-by-step explanation:

Given as :

The speed of cyclist riding bike = s = 18 miles per hour

Let The distance cover by cyclist in 20 seconds = d feet per sec

Now, According to question

∵ 1 miles = 5280 feet

∴ 18 miles = 5280 × 18 = 95,040 feet

So, The speed of cyclist in feet per hour = 95,040 feet per hour

Again,

∵ 1 hours = 3600 seconds

So, The speed of cyclist in feet per sec = $\dfrac{95040}{3600}$ ft/sec

∴ The speed of cyclist in feet per sec = 26.4 feet per second

Again

∵ In 1 sec the distance cover by cyclist = 26.4 feet

∴ In 20 sec the distance cover by cyclist = 26.4 × 20 feet

i.e In 20 sec the distance cover by cyclist = 528 feet

Hence, The distance travel by cyclist in 20 seconds is 528 feet . Answer

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2 years ago

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Archy [21]

Answer:

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Step-by-step explanation:

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2 years ago