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ad-work [718]
3 years ago
7

Multiply. (b - 7)(2b +9) (b - 7)(2b +9)=(Simplify your answer.)

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

2 {b}^{2}  - 5b - 63

Step-by-step explanation:

(b - 7) \times (2b + 9)

b \times 2b + 9b - 7 \times 2b - 7 \times 9

2 {b}^{2}  + 9b - 14b - 63

2 {b}^{2}  - 5b - 63

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One of the tallest living men has a height of 236 cm. One of the tallest living women is 224 cm tall. Heights of men have a mean
Roman55 [17]

Answer:

A. The woman is relatively taller because the z score for her height is greater than the z score for the man​'s height.

Step-by-step explanation:

Whoever has the highest z-score, is taller relative to the population of the same gender.

The z-score of a value X in a set with mean \mu and standard deviation /sigma is given by:

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

Solution:

Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

Z = \frac{X - \mu}{\sigma} = \frac{236-170}{6} = 11

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.

One of the tallest living women is 224 cm tall. The z-score of the women's height is

Z = \frac{X - \mu}{\sigma} = \frac{224-161}{5} = 12.6

The women has a higher z-score, so she is relatively taller.

The correct answer is A

3 0
4 years ago
A bacterium triples in size every 6 minutes. If you start with 3 bacterium
docker41 [41]

9514 1404 393

Answer:

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice

5 0
3 years ago
A trapezoid with a right angle and an area greater than 40 square inches
andreev551 [17]

Answer:

see the attached figure.

Step-by-step explanation:

We need to draw a trapezoid with a right angle and an area greater than 40 square inches

See the attached figure

The area of the trapezoid = 0.5 ( base_1 + base_2 ) * height

So, as shown ABCD is a trapezoid with a right angle at A

base_1 = 14 inches , base_2 = 10 inches and the height = 5 inches

So, the area = 0.5 ( 14 + 10 ) * 5 = 0.5 * 24 * 5 = 60 square inches > 40

Note: we can use any numbers other than 5 , 10 , 14

for example: 5 , 8 , 12 in this case the area = 0.5 * (8+12) * 5 = 50 > 40

<u>The point is choose any numbers which gives area > 40</u>

7 0
3 years ago
Which symbol correctly compared these two fractions
inysia [295]
The answer to the question is A
8 0
3 years ago
Read 2 more answers
Walkers A and B are doing a charity relay race. Walker A starts by completing 6 miles, and then hands a
raketka [301]

Answer:

15.6 hrs

Step-by-step explanation:

Walker A:

1.25 miles in 2.25 hrs

6/1.25 = 4.8

4.8×2.25 = 10.8

6 miles in 10.8 hrs

Walker B:

2.5 miles in 2 hrs

6/2.5 = 2.4

2.4×2 = 4.8

6 miles in 4.8 hrs

10.8 + 4.8 = 15.6

7 0
2 years ago
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