Solve: -3x + 5

Please show work thanks!

Ainat [17]

Masha's speed was 4 km/h

5 0

4 years ago

Read 2 more answers

dusya [7]

Answer:

XY = 16

Step-by-step explanation:

The ratio is 3 to 2 meaning that the sides of the triangle ABC and triangle AYY are in a ratio of 3 to 2. You are comparing the big triangle to the small triangle and the sides are compared the same way.

3:2 = 24:XY

3/2 = 24/XY

3 XY = 48

XY = 48/3

XY = 16

5 0

3 years ago

The scores on a Psychology exam were normally distributed with a mean of 67 and a standard deviation of 8. Create a normal distr

Trava [24]

Answer:

(a) The percentage of the scores were less than 59% is 16%.

(b) The percentage of the scores were over 83% is 2%.

(c) The number of students who received a score over 75% is 26.

Step-by-step explanation:

Let the random variable X represent the scores on a Psychology exam.

The random variable X follows a Normal distribution with mean, μ = 67 and standard deviation, σ = 8.

Assume that the maximum score is 100.

(a)

Compute the probability of the scores that were less than 59% as follows:

$P(X$

$=P(Z$

*Use a z-table.

Thus, the percentage of the scores were less than 59% is 16%.

(b)

Compute the probability of the scores that were over 83% as follows:

$P(X>83)=P(\frac{X-\mu}{\sigma}>\frac{83-67}{8})$

$=P(Z>2)\\\\=1-P(Z$

*Use a z-table.

Thus, the percentage of the scores were over 83% is 2%.

(c)

It is provided n = 160 students took the exam.

Compute the probability of the scores that were over 75% as follows:

$P(X>75)=P(\frac{X-\mu}{\sigma}>\frac{75-67}{8})$

$=P(Z>1)\\\\=1-P(Z$

The percentage of students who received a score over 75% is 16%.

Compute the number of students who received a score over 75% as follows:

$\text{Number of Students}=0.16\times 160=25.6\approx 26$

Thus, the number of students who received a score over 75% is 26.

5 0

4 years ago

How many solutions do consistent dependent lines have

user100 [1]

A consistent system has at least 1 solution, it could have more.

a consistent system that has exactly 1 solution, is an independent system.

a consistent system that has infinitely many solutions, namely, both equations are really the same equation in disguise, is a dependent system.

5 0

3 years ago

You want to be able to withdraw $4000 a month for 30 years how much would you need to have in your account with an APR of 3.4% t

tigry1 [53]

Answer:

$904,510.28

Step-by-step explanation:

If we assume the withdrawals are at the beginning of the month, we can use the annuity-due formula.

P = A(1 +r/n)(1 -(1 +r/n)^(-nt))/(r/n)

where r is the APR, n is the number of times interest is compounded per year (12), A is the amount withdrawn, and t is the number of years.

Filling in your values, we have ...

P = $4000(1 +.034/12)(1 -(1 +.034/12)^(-12·30))/(.034/12)

P = $904,510.28

You need to have $904,510.28 in your account when you begin withdrawals.

8 0

3 years ago

Solve: -3x + 5 < 20.3