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3 years ago

Solve this inequality: 3b - 7 < 32

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

Answer:

3b<32+7, 3b<39, 3b÷3<39÷3, b<13

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Answer #5,6,7,8,9,10

MatroZZZ [7]

$5)\ -2\times\frac{3}{7}=-\frac{2\times3}{7}=-\frac{6}{7}\\\\6)\ -2\frac{2}{3}\times4\frac{1}{10}=-\frac{8}{3}\times\frac{41}{10}=-\frac{4}{3}\times\frac{41}{5}=-\frac{164}{15}=-10\frac{14}{15}\\\\7)\ -2\frac{1}{5}\times(-1\frac{3}{4})=-\frac{11}{5}\times(-\frac{7}{4})=\frac{77}{20}=3\frac{17}{20}\\\\8)\ -1\frac{1}{4}\times9=-\frac{5}{4}\times9=-\frac{45}{4}=-11\frac{1}{4}\\\\9)\ -1\frac{5}{7}\times(-2\frac{1}{2})=-\frac{12}{7}\times(-\frac{5}{2})=\frac{6}{7}\times\frac{5}{1}=\frac{30}{7}=4\frac{2}{7}$

$1)\ -2\frac{3}{8}\times2\frac{1}{2}=-\frac{19}{8}\times\frac{5}{2}=-\frac{95}{16}=-5\frac{15}{16}$

7 0

3 years ago

Read 2 more answers

Find the estimate & difference for 4-1.29

rewona [7]

Difference is 2.71 and the estimate is 3

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3 years ago

Read 2 more answers

Johannes needs to buy replacement team uniform...

Ket [755]

Answer:

Step-by-step explanation:

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3 years ago

A bag contains three different shaped pieces of card

algol13

Answer:

2:3:5

Step-by-step explanation:

Here, we are going to be using direct numbers from the ratio

Circles to triangles is; 2:3

So for 200 circles, there are 300 triangles

Triangles to rectangles ; 2:5

300 triangles, there are 500 rectangles

Circles to triangles to rectangles is thus;

200: 300:500

= 2:3:5

5 0

3 years ago

1. The sample mean weight of 100 chimpanzees was measured to be 82.4 pounds, with a standard deviation of 12.6 pounds. Using a 1

tia_tia [17]

Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed <em>99% confidence interval</em>, with 100 - 1 = <em>99 df</em>, is t = 2.6259.

The other parameters have values given by:

$\overline{x} = 82.4, s = 12.6, n = 100$ .

We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:

$\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1$

$\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7$

More can be learned about the t-distribution at brainly.com/question/16162795

5 0

2 years ago