What is the solution to the system of linear equations?<br> y=x-1<br> y= -x+3

In the rhombus m<1 =160. What are m<2 and m<3? The diagram isn't drawn to scale

Zolol [24]

A rhombus is a parallelogram with four equal sides and two sets of equal angles.

If the m<1=160°, then the angle opposite (3) would also be 160°.

m<3=160°.

Becuase it is a parallelogram, the sum of the measurment of two angles that share a line would be 180 (supplementary).

m<2 and m<4 is 20°.

5 0

3 years ago

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago

· The list price of an article is 25% above the selling price and the cost

dem82 [27]

Answer:

p=25%

discount=25%

Step-by-step explanation:

Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x

Cost Price = .75x

S P = C+P

Profit = Selling price - Cost price

= x - 0.75x

=0.25x

the Profit is 25 %

Discount is 25 %

6 0

3 years ago

Find the area of the figure. (sides meets at right angle)

S_A_V [24]

Multiply length time width, and make sure you square your answer!

3 0

3 years ago

Need help ASAP it’s due at 12! The screen couldn’t fit, this is the clearest pic I can get! If anyone can help it will be greatl

Tamiku [17]

Step-by-step explanation:

Since ,

Money lended =$400

Intetest =27.74%

Therefore,

Intetrst=p×r×t/100,if interested monthly

=400×27.74×1/100(interested monthly)

=4×27.74

=$110.96

Interest=p×r×t/100×1/12,if interested anually

=400×27.74×1/100/12

=110.96/12

=$9.24 or it will be $110.96 if it is interested anuaaly..

6 0

3 years ago

What is the solution to the system of linear equations? y=x-1 y= -x+3