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antoniya [11.8K]
2 years ago
15

Which expression is equivalent to 18x-54

Mathematics
1 answer:
Arisa [49]2 years ago
5 0

Answer:

18(x - 3)

Step-by-step explanation:

18x - 54 ← factor out 18 from each term

= 18(x - 3)

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Anyone know how to find the area with the missing hypotenuse? Thank you!!!
suter [353]

Answer:

15 {cm}^{2}

Step-by-step explanation:

There's no need of hypotenuse for finding area of the triangle. To find the area of a triangle ,

Formula is =\frac{1}{2}  \times base \times height

Base of the triangle = 10 cm

Height of the traingle = 3 cm

Area of the triangle = \frac{1}{2}  \times 10 \times 3 = 15 {cm}^{2}

5 0
3 years ago
your sister is considering two different shapes for her garden. one is a square with side lengths of 3.5 meters, and the other i
In-s [12.5K]
The area of a square: (3.5m)²=12.25m²
The area of a circle: π*(2m)²=12.57m²
The circle shape of garden will give my sister more space to plant.
6 0
3 years ago
An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins
BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

H_0: p \geq 0.85

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

H_0: p < 0.85

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812

Hence the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0
1 year ago
if (1,-7) is in the solution area of the inequality y ≤ 1x + b, what is the smallest value of b possible?
puteri [66]

Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.

4 0
3 years ago
PLEASE HELP 20 POINTS!
serg [7]

The distance from A to B is the radius, as point A is the center of the circle, and B is a point on the circle.

AB is 5 inches, so the radius will be 5 inches.

D is another point on the circle, so AD would also be considered a radius. This means that the distance from A to D would be 5 inches.

5 0
3 years ago
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