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3 years ago

What is the distance between the points (5, -1) and (5, 3)

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

By using distance formula (which is attached below), you can solve this problem:

√(x2-x1)^2+(y2-y1)^2

(5, -1) and (5, 3)

√(5-5)^2+(3-(-1))^2

√0^2+4^2

√0+16

√16

The distance between the two points is 4.

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Approximate the square root of 278 to the nearest tenth

Dennis_Churaev [7]

Answer:

Answer should be 77280.

Step-by-step explanation:

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3 years ago

PLEASE HELP

Alexus [3.1K]

Answer:

x=1

y=0

Step-by-step explanation:

(x-1)=-2x+2

3x-1=2

3x=3

x=1

-2(1)+2

-2+2=0

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3 years ago

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What type of number cannot be written as a fraction

Rom4ik [11]

An irrational number.

Example: Pi. Pi doesn’t have an ending as far as we know, so it cannot be written as a fraction.

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3 years ago

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10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like

ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

$\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\ \\ \:n=103.2858\cong104 \end{gathered}$

The minimum sample size needed is 104

3 0

1 year ago

Solve 20x + 12 ≥ 14x + 30

Rashid [163]

Subtract 14x from both sides to get

$20x-14x+12 \geq 30$

Subtract 12 from both sides to get

$20x-14x \geq 30-12$

Now we have moved all terms involving x on one side, and all constant terms on the other. We can simplift both sides, i.e. sum like terms, to get

$6x \geq 18$

Now we have to divide both sides by 6. When dealing with inequality you have to be careful about dividing both sides by the same constant: if the constant is negative, the inequality side switches (i.e. $\geq \leftrightarrow \leq$ ). But this is not the case since 6 is positive, so we mantain the inequality sign:

on the other. We can simplift both sides, i.e. sum like terms, to get

$\cfrac{6x}{6} \geq \cfrac{18}{6}$

Evaluate left and right hand side:

$x \geq 3$

4 0

3 years ago