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oksano4ka [1.4K]
3 years ago
13

Cameron makes a quilt design using four congruent triangles as shown below. 4 connecting congruent triangles are shown. The bott

om 2 triangles share the same base. The top 2 triangles also share the same base and sit on top of the bottom 2 triangles. The base length is 21 centimeters. The length of the bottom side of the triangle is 14 centimeters. The length of the right side of the triangle is 9 centimeters. What is the perimeter of the entire design?
Mathematics
2 answers:
Pie3 years ago
6 0

Answer:

64

Step-by-step explanation:

right go ahead

9966 [12]3 years ago
5 0

Answer:

its 64cm

Step-by-step explanation:

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The expression -120 + 13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13
Juli2301 [7.4K]

Answer:

It would be at a depth of 42 meters below the surface

Step-by-step explanation:

13(6)=78  -120+78=-42

8 0
2 years ago
The mean annual cost of an automotive insurance policy is normally distributed with a mean of $1140 and standard deviation of $3
DerKrebs [107]

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

<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 in this problem are given as follows:

\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5

Item a:

The probability is the <u>p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000</u>, hence:

X = 1250:

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

By the Central Limit Theorem

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

Z = \frac{1250 - 1140}{77.5}

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

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

Z = \frac{1000 - 1140}{77.5}

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 1250</u>, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the <u>p-value of Z when X = 1220</u>, hence:

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

Z = \frac{1220 - 1140}{77.5}

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
3 1 - 2.6<br>________<br>0.05<br>​
olya-2409 [2.1K]

Work:

\frac{31 - 2.6}{0.05}

\frac{28.4}{0.05}

Answer:

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3 years ago
Write the equation of the line in standard form that has a slope of 2/3 and y-intercept of -7.
trasher [3.6K]

Answer:

-2/3x + y = -7

Step-by-step explanation:

So, y = 2/3x - 7 is the slope-intercept equation. Now, we need to turn it into the standard equation of a slope.

Standard equation --> Ax + By = C

y = 2/3x - 7

-2/3x     -2/3x

----------------------

-2/3x + y = -7 --> this is your equation in standard slope form.

3 0
2 years ago
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Something you own but u don't use a lot what is it
koban [17]
Hey You!

Something you own but others use more than you is: Your name.
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3 years ago
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