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2 years ago

5a - 3 + 2a + 2a + 3

Mathematics

2 answers:

Aleksandr [31]2 years ago

4 0

Answer- 9a

explanation- 5+2+2 = 9 and you add the a’s and -3+3 = 0 so you leave it out

Free_Kalibri [48]2 years ago

3 0

Answer:

Step-by-step explanation:

5a - 3 + 2a +2a + 3

5a + 4a - 3 + 3

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L=a+(n-1)d solve for n

earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides: L - a = (n-1)d

2) Divide both sides by d: (L-a)/d = n-1

3) Add 1 to both sides, to isolate n: (L-a)/d + 1 = n

3 0

2 years ago

Expand and simplify 5(3x+2)-2(4x-1)

blsea [12.9K]

5(3x+2)-2(4x-1)

= 15x+10-8x+2

= 7x+12

6 0

1 year ago

ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).

Igoryamba

Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 
BD = 2(a+1) = 2(0 + 1) = 2 × 1 = 2

Ansver: AC = BD = 2

7 0

3 years ago

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

2 years ago

Mrs. Wingate has 10 students in her math class. The line plot shows the number of hours students spent doing homework last week.

klio [65]

A. 35 because of you look at the line plot it explains how long student are in there for and how many times a day. So you just need to figure out how many students do hw for how long and then multiply that by 10.

8 0

2 years ago