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3 years ago

Find the value of y that makes the equation y = -2x + 4 true when x = 1. Select one: a. 2 b. -2 c. 6 d. -6

Mathematics

2 answers:

rodikova [14]3 years ago

8 0

Y = -2x + 4

substitute the value of x = 1 to the equation:

y = -2 · 1 + 4 = -2 + 4 = 2

Answer: a. 2

Fed [463]3 years ago

5 0

a. 2
plug in 1 for x
y=-2(1)+4
then solve from there

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Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.

inessss [21]

Answer: C. 113.1 cubic centimeters

Step-by-step explanation:

Volume of a sphere= $\frac{4}{3}$ (3.14)(r)^3

Since we know r then just plug in to get 4/3(3.14)(3)^3= 113.1

So the answer is C

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2 years ago

Read 2 more answers

A truck has a total of b pounds of fruit in n identical boxes. How many

inysia [295]

The answer would be about

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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

8 0

3 years ago

Two numbers rolled can be added to get a sum. Find P(sum is even.)

azamat

When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.

6 0

2 years ago

Different types of parallelograms have distinguishing traits. Compare and contrast the rectangle, rhombus, and square based upon

Stels [109]

All 3 of the listed parallelograms have both pairs of sides parallel, by definition.

The square and the rhombus have all congruent sides.

Since the square and rhombus have all 4 congruent sides, this means their opposite sides are congruent. Additionally, rectangles have opposite sides congruent.

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3 years ago