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3 years ago

The side length of an equilateral triangle is 4x – 5. Which expression represents

Mathematics

1 answer:

horsena [70]3 years ago

8 0

Answer:

12x-15

Step-by-step explanation:

A triangle has 3 sides

An equilateral triangle has 3 sides that are all the same length

The perimeter of a triangle is

P = s1+s2+s3

P = 4x-4 + 4x-5+4x-5

Combine like terms

P = 12x -15

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There are 21 more days before the first big winter storm and the squirrel collects 12 acorns a day, how far away from her origin

alexandr402 [8]

She has 445 left after the bear ate some so
21 × 12 = 252
252 + 445 = 697 acorns

she should maybe bother the bear so he can't hibernate, or steal his food so he knows what it's like

6 0

3 years ago

A study in your town found that 54 in 1,762 people have a post office box what percent of the people in town have a post office

gavmur [86]

Multiply 54 times 100 then divide by 1,762

54 times 100= 5400

5400\1,762= .03

which equals to 3%

4 0

3 years ago

Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There a

Ira Lisetskai [31]

Answer:

Points B and C are opposite

Step-by-step explanation:

0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.

Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left

3 0

3 years ago

Read 2 more answers

Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0

3 years ago

What’s is part A?? .....

bixtya [17]

Answer:

A. 3

B. 4

C. 1

D. 2

Step-by-step explanation:

Consider all equations:

A. $y=x^2 -6x+8$