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3 years ago

3(x - 2) > -3 What is the answer on have no idea

Mathematics

2 answers:

Eva8 [605]3 years ago

8 0

Answer:

Step-by-step explanation:

3x-6>-3 =

3x>3 =

x=1

MaRussiya [10]3 years ago

8 0

Answer:

any value of x from the interval ( 1 , ∞ )

Step-by-step explanation:

3(x - 2) > - 3

$\frac{3(x-2)}{3}$ > - $\frac{3}{3}$

x - 2 > - 1

x > - 1 + 2

x > 1

x ∈ ( 1 , ∞ )

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a centroid separates a median into two segments. which of the following is the ratio of the length of the shorter segment to the

olga2289 [7]

The answer is 2:1.

The centroid separates the median, or the point from the midpoint of a side of a triangle with its opposite angle, at a ratio of 2:1, meaning that one segment is 1/3 the length of the median and the other segment is 2/3 the length of the median.

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3 years ago

Melissa reserves another rectangular patch in her vegetable garden for growing bell peppers. Since the space that she can reserv

Otrada [13]

Answer:

Quadratic, 16, 18, 6

Step-by-step explanation:

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3 years ago

Last week at a festival, a man sold 4 times as many tie-dyed T-shirts as silk screened shirts. He sold 180 shirts altogether. Ho

lyudmila [28]

Let the number of tie-dyed T-shirts = x

The man sold 4 times as many tie-dyed T-shirts as silk-screened shirts.

So, the number of silk-screened shirts = 4x

He sold 180 shirts altogether

So,

$\begin{gathered} x+4x=180 \\ 5x=180 \\ \\ x=\frac{180}{5}=36 \end{gathered}$

So, the number of tie-dyed shirts = 36

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1 year ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters,

FinnZ [79.3K]

Answer:

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

Step-by-step explanation:

To solve this question, we need to understan 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 $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 139, \sigma = 6, n = 40, s = \frac{6}{\sqrt{40}} = 0.9487$

Either the sample mean differs by 0.8 mm or less from the population mean, or it differs by more. The sum of these probabilities is decimal 1.

Probability it differs by less than 0.8mm

pvalue of Z when X = 139 + 0.8 = 139.8mm subtracted by the pvalue of Z when X = 139 - 0.8 = 138.2 mm

X = 139.8

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

By the Central Limit Theorem

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

$Z = \frac{139.8 - 139}{0.9487}$

$Z = 0.84$

$Z = 0.84$ has a pvalue of 0.7995

X = 138.2

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

$Z = \frac{138.2 - 139}{0.9487}$

$Z = -0.84$

$Z = -0.84$ has a pvalue of 0.2005

0.7995 - 0.2005 = 0.5990

What is the probability that the sample mean would differ from the population mean by more than 0.8 millimeters?

p + 0.5990 = 0.4010

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

7 0

3 years ago

This is number 8. And I need help.

ANEK [815]

It would be the first one because it says that there are 4 times as many red roses as pink roses and so that would be represented r=4p

Hope this helps! Good luck!

6 0

3 years ago

Read 2 more answers