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3 years ago

Which expression is equivalent to -3 ( x + 10)

Mathematics

2 answers:

Aleksandr [31]3 years ago

5 0

Hey there!

$\bold{-3(x+10)}$

<em>Firstly, you have to distribute </em>
$\bold{-3(x) +(-3)(10)}$
$\bold{-3(x)=-3x}$
$\bold{-3(10)=-30}$
$\boxed{\boxed{\bold{Answer:-3x-30}}}$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

maria [59]3 years ago

3 0

Answer:

-3x - 30

Step-by-step explanation:

Distribute (multiply) the -3 to everything in the parentheses.

-3 (x + 10)

-3 * x = -3x -3 * 10 = -30

Answer: -3x - 30

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The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code read

Bond [772]

Answer:

$(a)\ \bar x =20.5$

$(b)\ \sigma = 14.54$

Step-by-step explanation:

Given

$x: 36, 14, 21, 39, 11, 2$

Solving (a): The mean of the 6 samples.

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x =\frac{36+ 14+ 21+ 39+ 11+ 2}{6}$

$\bar x =\frac{123}{6}$

$\bar x =20.5$

Solving (b): The sample standard deviation.

This is calculated using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

So, we have:

$\sigma = \sqrt{\frac{(36 - 20.5)^2 + (14 - 20.5)^2 + (21 - 20.5)^2 + (39 - 20.5)^2 + (11 - 20.5)^2 + (2 - 20.5)^2}{6-1}}$

$\sigma = \sqrt{\frac{1057.5}{5}}$

$\sigma = \sqrt{211.5}$

$\sigma = 14.54$

7 0

3 years ago

The data given to the right includes data from candies, and of them are red. The company that makes the candy claims that % of

Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

$n = 39, \pi = \frac{8}{39} = 0.2051$

Hence the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318$

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0

2 years ago

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what

Anvisha [2.4K]

Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust 312

Thick crust 245

Stuffed crust 179

Pan style 304

Based on this information, of the next 4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

$\hat p = \frac{Thick\ crust}{Total}$