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2 years ago

Part 2: Number Properties

Mathematics

1 answer:

Flura [38]2 years ago

6 0

Answer:

Expression 1 equals, 25.

To make the second expression 19, you add parenthesis

The distance in scientific notation would be 5.8* 10^7.

The diameter of a human hair in scientific notation would be 2.5* 10^-3

Columbus, Ohio: 8.23* 10^5

United States 3.19*10^8

319,000,000/823,000 = 387.606318

So, it's about 387 times larger

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Which equation can not be used to find the area of a triangle

maxonik [38]

Answer:

Step-by-step explanation:

because triangle don't work that way

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2 years ago

The formula to find a certain number in an arithmetic sequence is an=a1+d(n−1) .

REY [17]

Answer:

(an -a1)/d +1 = n

Step-by-step explanation:

Undo what is done to n, in reverse order. When evaluating this expression, you ...

subtract 1 from n
multiply the difference by d
add a1

When you undo these, you get ...

... an -a1 = d(n-1) . . . . . . subtract a1

... (an -a1)/d = n - 1 . . . . divide by d

... (an -a1)/d +1 = n . . . . add 1

_____

Comment on answer list

Please note the use of parentheses in the answer here. These identify that the difference (an -a1) is what is divided by d. None of the offered answers has these parentheses, nor are they typeset in a way that would indicate the intent to divide (an -a1) by d. As given, none of the offered answers is correct.

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2 years ago

How high would a 10-story building be

Ugo [173]

Each story should be Generally around 10 feet (3 m) total; So that means a ten story building should be around 100 feet.

3 0

2 years ago

ind the value of the test statistic z using z equals StartFraction ModifyingAbove p with caret minus p Over StartRoot StartFract

Sergeeva-Olga [200]

Answer:

$z=\frac{0.262 -0.25}{\sqrt{\frac{0.25(1-0.25)}{530}}}=0.638$

Step-by-step explanation:

Data given and notation

n=530 represent the random sample taken

X=139 represent the yellow pods in the random sample

$\hat p=\frac{139}{530}=0.262$ estimated proportion of yellow pods

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.25 or 25%:

Null hypothesis: $p=0.25$

Alternative hypothesis: $p \neq 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.262 -0.25}{\sqrt{\frac{0.25(1-0.25)}{530}}}=0.638$

6 0

2 years ago

Question below

Ksivusya [100]

Answer:

$m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right]$

Step-by-step explanation:

Calculate the value of m

Given:

$3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]$

Therefore:

$\implies 3=\dfrac{2}{3}m$

$\implies m=3 \times \dfrac{3}{2}$

$\implies m=\dfrac{9}{2}$

Calculate the value of H

Given:

$\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)$

Therefore:

$\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]$

Calculating m × H

$\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]$

$\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right]$

$\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right]$

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1 year ago