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bazaltina [42]
3 years ago
11

Mera is making a food guide for health class. She needs the measurements of this picture to enlarge it for a poster. Remember to

use the Pythagorean Theorem Hint: Create a right triangle by splitting the pyramid up the middle.
Which expression represents the length of segments AB?
Mathematics
1 answer:
astraxan [27]3 years ago
5 0

Answer:

you gatta show the picture

Step-by-step explanation:

You might be interested in
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal place
Katyanochek1 [597]

Answer:

a. 0.2898

b. 0.0218

c. 0.1210

d. 0.1515

e. This is because the population is normally distributed.

Step-by-step explanation:

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places

We are using the z score formula when random samples

This is given as:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.

For x = 1500, n = 100

z = 1500 - 1518/325/√100

z = -18/325/10

z = -18/32.5

z = -0.55385

Probability value from Z-Table:

P(x<1500) = 0.28984

Approximately = 0.2898

b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

For x = 1600, n = 64

= z = 1600 - 1518/325/√64.

z= 1600 - 1518 /325/8

z = 2.01846

Probability value from Z-Table:

P(x<1600) = 0.97823

P(x>1600) = 1 - P(x<1600) = 0.021772

Approximately = 0.0218

c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575

For x = 1550, n = 25

z = 1550 - 1518/325/√25

z = 1550 - 1518/325/5

z = 1550 - 1518/65

= 0.49231

Probability value from Z-Table:

P(x = 1550) = 0.68875

For x = 1575 , n = 25

z = 1575 - 1518/325/√25

z = 1575 - 1518/325/5

z = 1575 - 1518/65

z = 0.87692

Probability value from Z-Table:

P(x=1575) = 0.80974

The probability that they have a mean between 1550 and 1575

P(x = 1575) - P(x = 1550)

= 0.80974 - 0.68875

= 0.12099

Approximately = 0.1210

d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480

For x = 1440, n = 16

z = 1440 - 1518/325/√16

= -0.96

Probability value from Z-Table:

P(x = 1440) = 0.16853

For x = 1480, n = 16

z = 1480 - 1518/325/√16

=-0.46769

Probability value from Z-Table:

P(x = 1480) = 0.32

The probability that they have a mean between 1440 and 1480

P(x = 1480) - P(x = 1440)

= 0.32 - 0.16853

= 0.15147

Approximately = 0.1515

e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?

The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.

6 0
3 years ago
Simplify 2(-3x -6) I want to simplify it but I'm not sure how
Gelneren [198K]

Answer:

-6x-12

Step-by-step explanation:

2(-3x-6)

Multiply: 2(-3x)+2(-6)

so answer is -6x-12

4 0
3 years ago
Read 2 more answers
an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time
Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can  fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is =\frac{1}{x}

The rate of filling of inlet pipe is =\frac{1}{x-1}

The rate of filling of both pipes is = \frac 1{10}

According to the problem,

\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}

\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}                              [ simplifying the fraction]

\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}                            

\Rightarrow 10(2x-1)= x^2-x                [ Multiplying 10(x²-x) both sides]

\Rightarrow x^2-x= 20x-10

\Rightarrow x^2-x-20x+10=0             [ simplifying ]

\Rightarrow x^2-21x+10=0

\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}       [ applying quadratic formula]

\Rightarrow x=\frac{21\pm21.93}{2.1}

⇒ x= 21.465,  -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0
3 years ago
In a triangle there is three angles..one is 32° other is 116° what is the third one?
frozen [14]

Answer:32 degrees

Step-by-step explanation:a triangle total is 180 degrees. So subtract 116 and 32 by 180 to get 32

8 0
3 years ago
Read 2 more answers
Factorise 8x+12<br> ffffffffffdfffdfdfd
bagirrra123 [75]
Answer:
Factor out 4 out 8x-12
= 4(2x-3)
7 0
3 years ago
Read 2 more answers
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