Can you use the SAS postulate, the AAS theorem, or bothto prove the triangles are congruent

What is the volume of the box pictured below?

insens350 [35]

Answer:

3/4 cubic meter

Step-by-step explanation:

1 1/8 x 4/5 x 5/6= 3/4

8 0

4 years ago

Read 2 more answers

What is the answer??

Paha777 [63]

Answer:

D) 39

Step-by-step explanation:

There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.

First step, find g(8):

g(x) = 3x - 2

When x = 8,

g(8) = 3(8) - 2

Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:

g(8) = (3 * 8) - 2

g(8) = (24) - 2

g(8) = 22

Next step, find g(-5):

g(x) = 3x - 2

g(-5) = 3(-5) - 2

g(-5) = (3 * -5) - 2

g(-5) = (-15) - 2

g(-5) = -17

Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:

22 - (-17) = 22 + 17 = 39

D) 39 is your answer.

~

7 0

3 years ago

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.2 2.2% with a standard deviation of 6.3 6.3%.

Svet_ta [14]

Answer:

a) 0.625; b) 16.879; c) 8.442

Step-by-step explanation:

Since this is a normal distribution, we want the value of the mean, μ: 2.2; and the value of the standard deviation, σ: 6.3.

For the 40th percentile, we look in a z chart. We want to find the value as close to 0.40 as we can get; this is 0.4013, and it corresponds to a z score of z = -0.25.

Our formula for a z score is $z=\frac{X-\mu}{\sigma}$ . Using our values, we have

-0.25 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.25) = X-2.2

-1.575 = X-2.2

Add 2.2 to each side:

-1.575+2.2 = X-2.2+2.2

0.625 = X

For the 99th percentile, the value in the z chart closest to 0.99 is 0.9901, which corresponds to a z score of z = 2.33:

2.33 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(2.33) = X-2.2

14.679 = X-2.2

Add 2.2 to each side:

14.679+2.2 = X-2.2+2.2

16.879 = X

For the IQR, we find the values for the 75th percentile (Q3) and the 25th percentile (Q1). The value in a z chart closest to 0.75 is 0.7486, which corresponds to a z score of z = 0.67:

0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(0.67) = X-2.2

4.221 = X-2.2

Add 2.2 to each side:

4.221+2.2 = X-2.2+2.2

6.421 = X

The value in a z chart closest to 0.25 is 0.2514, which corresponds to a z score of z = -0.67:

-0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.67) = X-2.2

-4.221 = X-2.2

Add 2.2 to each side:

-4.221+2.2 = X-2.2+2.2

-2.021 = X

This makes the interquartile range

6.421--2.021 = 8.442

8 0

3 years ago

In a certain liberal arts college with about 10,000 students, 53% are males. If two students from this college are selected at r

tamaranim1 [39]

Answer:

There is a 50.18% probability that they are of the same gender.

Step-by-step explanation:

We have these following percentages:

53% of the students are males.

47% of the students are females.

If two students from this college are selected at random, what is the probability that they are of the same gender?

The probability that each is male is 53%. So the probability of both being males is

$P_{MM} = 0.53*0.53 = 0.2809$

The probability that each is female is 47%. So the probability of both being females is

$P_{FF} = 0.47*0.47 = 0.2209$

The probabilty that both are the same gender is:

$P = P_{MM} + P_{FF} = 0.2809 + 0.2209 = 0.5018$

There is a 50.18% probability that they are of the same gender.

7 0

4 years ago

HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG

Ymorist [56]

The amount of money he has before working at his job

4 0

3 years ago