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3 years ago

What has the same value as |-5| ?

Mathematics

2 answers:

ELEN [110]3 years ago

8 0

Answer:

It is 5

Step-by-step explanation:

The absolute value sign means how many spots that number is away from the 0 on the number line so it makes all numbers positive except if there is a negative sign on the outside of the absolute value sign

Georgia [21]3 years ago

5 0

Answer:

Step-by-step explanation:

This is because |-5| is equal to 5

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What is the solution set of the quadratic inequality 4(x+2)^2<_0?

sattari [20]

The solution is in the picture

8 0

3 years ago

Read 2 more answers

Multiply. Write your answer as a fraction in simplest form.<br> Three divided by sixteen times six

emmasim [6.3K]

1.125 as a decimal. The reason is because I asked a computer

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2 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.a. If the distri

zalisa [80]

Answer:

$P(\= X \ge 51 ) =0.0062$

$P(\= X \ge 51 ) = 0$

Step-by-step explanation:

From the question we are told that

The mean value is $\mu = 50$

The standard deviation is $\sigma = 1.2$

Considering question a

The sample size is n = 9

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{9} }$

=> $\sigma_x = 0.4$

Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}} \ge \frac{51 - 50 }{0.4 } )$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

$P(\= X \ge 51 ) = P( Z \ge 2.5 )$

=> $P(\= X \ge 51 ) =1- P( Z < 2.5 )$

From the z table the area under the normal curve to the left corresponding to 2.5 is

$P( Z < 2.5 ) = 0.99379$

=> $P(\= X \ge 51 ) =1-0.99379$

=> $P(\= X \ge 51 ) =0.0062$

Considering question b

The sample size is n = 40

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{40} }$

=> $\sigma_x = 0.1897$

Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )$

=> $P(\= X \ge 51 ) = P(Z \ge 5.2715 )$

=> $P(\= X \ge 51 ) = 1- P(Z < 5.2715 )$

From the z table the area under the normal curve to the left corresponding to 5.2715 and

=> $P(Z < 5.2715 ) = 1$

$P(\= X \ge 51 ) = 1- 1$

=> $P(\= X \ge 51 ) = 0$

5 0

2 years ago

A rigjt triangle with two congruent legs is always 45-45-90

bekas [8.4K]

Answer:

right angel triangle means one of the three angel is 90

also it is given that two sides are equal

there for it is an isoselas triangle means other two triangles are equal

let the other two angels be x then

then 90 + x + x = 180

2x = 180 - 90

x = 90 ÷2

× = 45

prof. 90 + 45 + 45 = 180

Step-by-step explanation:

hope it helped u buddy

8 0

2 years ago

1. A 30 ft. ladder is leaning against a building. The ladder reaches the bottom of a window that is located 15 ft. above the gro

____ [38]

Answer: 30°

Step-by-step explanation:

1. You know that:

- The length of the ladder is 30 feet.

- The window is located 15 feet above the ground.

2. Then, you can draw a right triangle as the one shown in the figure attached. So, you can calculate the angle asked as following:

$sin^{-1}\alpha=\frac{opposite}{hypotenuse}$

Where:

α: the angle of the ladder with the ground.

opposite=15 feet

hypotenuse=30 feet

3. When you substitute values, you obtain:

$sin^{-1}\alpha=\frac{15}{30}$

$\alpha=30$ °

8 0

3 years ago