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3 years ago

Perimeter of the figure?

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

Answer:

32 cm

Step-by-step explanation:

As we could see if the image was a full rectangle with width is 7 cm and the length is 9 cm, the perimeter of it would be 32 cm.

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3 years ago

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3 years ago

Read 2 more answers

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean

EastWind [94]

Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters are given as follows:

$\mu = 8.4, \sigma = 1.77, n = 40, s = \frac{1.77}{\sqrt{40}} = 0.2799$

The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.8 - 8.4}{0.2799}$

Z = 1.43

Z = 1.43 has a p-value of 0.9236.

1 - 0.9236 = 0.0764.

7.64% of of sample means are greater than 8.8 hours.

More can be learned about the normal distribution at brainly.com/question/25800303

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6 0

2 years ago

What is the equation of the line that passes through the point (-6,3) and has a slope of −4/3?

marin [14]

Answer:

$y = - \frac{4}{3} x - 5$

Step-by-step explanation:

The standard form for the equation of a line is

$y = mx + c$

We were told that

$y = 3 \: \: \: x = - 6 \: \: \: m = - \frac{4}{3}$

*Note m is the slope*

Therefore

$y = mx + c \\ 3 = - \frac{4}{3} (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\ - 5 = c$

So the answer is

$y = - \frac{4}{3} x - 5$

6 0

2 years ago

In right triangle ABC, m∠C = 3y - 10,

julia-pushkina [17]

Answer:

The given triangle ABC is a SCALENE RIGHT - ANGLED TRIANGLE

Step-by-step explanation:

Here, in the triangle ABC

∠A = 90° , ∠B = y+ 40° and ∠C = 3y - 10°

Now, by ANGLE SUM PROPERTY of a triangle:

∠A + ∠B+ ∠C = 180°

or, 90° + ( y+ 40°) +( 3y - 10°) = 180°

or, 4y + 120° = 180°

⇒ 4y = 180° - 120° = 60°

or, y = 60° / 4 = 15 ⇒ y = 15

⇒ ∠B = y+ 40° = 55°

and ∠C = 3y - 10° = 3(15) -10 = 35°

Now, here ∠A = 90° , ∠B = 55° and ∠C = 35°

Since here ∠B ≠ ∠C ≠ 45°

Hence, the given triangle ABC is a SCALENE RIGHT ANGLED TRIANGLE

7 0

3 years ago