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xeze [42]
4 years ago
12

-3 = 7 - BLANK pls tell me what blank is

Mathematics
2 answers:
liberstina [14]4 years ago
4 0

Answer:

10

Step-by-step explanation:

-3 = 7 - x

Add x to both sides

x -3 = 7 - x +x

x - 3 = 7

Now, add 3 to both sides

x - 3 + 3 = 7 + 3

x = 10

Radda [10]4 years ago
4 0

Answer:

\boxed{10}

Step-by-step explanation:

-3=7- \sf BLANK

\sf Subtract \  7 \ from \ sides.

-3-7=-7+7- \sf BLANK

-10=- \sf BLANK

\sf Multiply \  both \ sides \ by \ -1.

-10(-1)=(-1)- \sf BLANK

10= \sf BLANK

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A student decided to use the points (.5, 20) and (3, 150) to make what she believed was a better regression equation. Her answer
Mamont248 [21]

Answer:

They can expect to make $524

Step-by-step explanation:

Lets solve the problem

The form of the linear function is f(x) = m x + b, where m is the slope of the line and b is the y-intercept (value f(x) at x = 0)

∵ The student decided to use the points (0.5, 20) and (3, 150)

   to make a better regression equation

- She calculated the slope of the line using the two points

∵ m=\frac{150-20}{3-0.5}=52

- She substituted the value of m in the form above

∴ f(x) = 52 x + b

- Than she find that the best value of f(x) at x = 0 is 4

∴ f(x) = 52 x + 4

∵ x represents the number of hours

∵ y represents the money

∵ The family decides to extend the yard sale to be 10 hours long

- That means substitute x by 10 in f(x)

∵ x = 10

∴ f(10) = 52(10) + 4

∴ f(10) = 520 + 4

∴ f(10) = 524

∴ They can expect to make $524

5 0
4 years ago
Help me with this question
Alona [7]

Answer:

A

Step-by-step explanation:

The opposite of 6 IS -6

5 0
3 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
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victus00 [196]

Answer:

  v = 2√2i -2√2j

Step-by-step explanation:

  v = ||v||·cos(θ)i +||v||·sin(θ)j

  v = 4cos(315°)i +4sin(315°)j . . . . . . fill in the numbers

  v = 2√2i -2√2j . . . . . . . . . . . . . . . put in desired form

6 0
3 years ago
Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.
nevsk [136]
The correct answer is 5/3 .
7 0
4 years ago
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