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3 years ago

Solve for x. −4≤11−3x Enter your answer as an inequality in the box.

Mathematics

1 answer:

Mamont248 [21]3 years ago

6 0

Answer:

$x\leq 5$

Step-by-step explanation:

the given expression is : −4≤11−3x

we use following operations to solve the inequality:

by adding 4 on both sides, the inequality will become :

-4+4 ≤ 11-3x +4

0 ≤ 15 -3x

adding 3x on both sides, the inequality will become:

3x ≤ 15

dividing both the sides of the inequality by 3, the inequality will become:

3x/3 ≤ 15/3

x ≤ 5 ( since, 15/3 = 5)

therefore the solution for x as an inequality will be x ≤ 5

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1+1+1+1+1+11+1+1+1+1+

evablogger [386]

Answer:

Simple, 20.................

6 0

3 years ago

Read 2 more answers

Help please..<br>I really need it

jarptica [38.1K]

Answer:

256

Step-by-step explanation:

V=1/3*π*4^2*7,46=124.993

32000/124.99=~256

4 0

3 years ago

A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.

umka21 [38]

Answer:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

$\bar X_1 = 28900$ the sample mean for the salaries of teachers in Indiana

$s_1 = 2300$ the sample deviation for the salary of teachers in Indiana

$n_1 =10$ the sample size from Indiana

$\bar X_2 = 30300$ the sample mean for the salaries of teachers in Michigan

$s_2 = 2100$ the sample deviation for the salary of teachers in Michigan

$n_2 =14$ the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

The degrees of freedom for this case are:

$df = n_1 +n_2 -2= 10+14-2 =22$

The confidence is 95%so then the significance is $\alpha=0.05$ and the $\alpha/2 =0.025$ , we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

$t_{\alpha/2}= 2.07$

And now replacing in the formula for the confidence interval we got:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

6 0

3 years ago

There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week.

Orlov [11]

Answer:

0.619

Step-by-step explanation:

from the question we have the following data:

probability of motor 1 breaking = 65% = 0.65

probability of motor 2 breaking = 35% = 0.35

probability of motor 3 breaking = 5% = 0.05

since we have 3 motors the probability of any of them breaking down is = $\frac{1}{3}$

but what the question requires from us is the conditional probability of the first one being installed

we have to solve this questions using bayes theorem

such that:

$\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3} }$

= $\frac{0.2167}{0.2167+0.1167+0.0167}$

= $\frac{0.2167}{0.3501}$

= 0.618966

approximately 0.619

therefore the conditional probability ralph installed the first motor is 0.619

8 0

3 years ago

How do you find the area and perimeter of a rectangle. And how do you find the area and perimeter of a square?

cupoosta [38]

Answer:

The perimeter of a rectangle is P = 2 b + 2 h , where is the base (or width) and is the height (or length). If a rectangle is a square, with sides of length , the formula for perimeter is P s q u a r e = 2 s + 2 s = 4 s and the formula for area is A s q u a r e = s ⋅ s = s 2

Step-by-step explanation:

5 0

3 years ago