Answer the following questions.

What name of triangle name is when they only have two side the same lenght

xxMikexx [17]

It's name is “isosceles triangle”

5 0

3 years ago

2x + 8 = 3x + x + 18<br> how do i solve this

Gnoma [55]

Answer:

x=-10

Step-by-step explanation:

reorder the terms: 8+2x=18+3x

solve: 8+2x=18+3x

-3x -3x

_________

8-1x=18

-8. -8

________

-1x= 10

__ __

-1 -1

________

<u>x= -10</u>

3 0

3 years ago

The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using

Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

68.27% of the data lies within one standard deviation of the mean.

95.45% of the data lies within two standard deviations of the mean.

99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

$\Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})$

where the symbol $\Phi$ (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, $\mu$ is the mean and $\sigma$ is the standard deviation of the normal distribution defined as $N(\mu, \ \sigma)$ .

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution $N(113, \ 12)$ ,

$\Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973$

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0

2 years ago

32/9 as mixed number

bezimeni [28]

9 can only go into 32, three times so you will have 5 leftover so that can be written as 3 5/9. You can also check this by taking the denominator of 9 and multiplying it by the whole number 3..this is 27 and then add the numerator 5 to it.
So 9*3+5= 32 and then add a denominator.. 32/9.

6 0

3 years ago

Look at the images please I WILL MRK THE BRIANLEST

professor190 [17]

Answer: $V=234\ yd^3$