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4 years ago

State the property that justifies the statement

Mathematics

1 answer:

cluponka [151]4 years ago

7 0

Answer:

A. Subtraction Property of Equality

Step-by-step explanation:

3x + 4 = 10

Subtract 4 from both sides ---->Subtraction Property of Equality

3x + 4 - 4 = 10 - 4

3x = 6

If 3x + 4 = 10, then 3x = 6

Answer

A. Subtraction Property of Equality

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What is the formula for a confidence interval?

ikadub [295]

Answer:

a) The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) $\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Part a

The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

5 0

4 years ago

Solve the following NO BOTS OR PEOPLE WANTING POINTS

elena-s [515]

Answer:

-1

Step-by-step explanation:

8 0

3 years ago

DOING A QUIZ ASAP PLS

Vitek1552 [10]

Answer:

39.407m

Step-by-step explanation:

sin 66deg = 36/length of cable

length of cable = 36/sin 66deg = 39.407m (5sf)

7 0

3 years ago

Read 2 more answers

Please answer ASAP. The question is down below

belka [17]

Answer: A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

The denominator cannot equal zero.

$\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}$

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3 years ago

What are the x intercepts of f(x)= -16x^2 + 22x + 3

Zarrin [17]

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

7.875 ≈ 7.9

3 0

3 years ago