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sdas [7]
2 years ago
8

Need some help, please

Mathematics
1 answer:
OlgaM077 [116]2 years ago
8 0

Answer:

c = 15

Step-by-step explanation:

expand the left side and compare with like terms on the right side

2x(4x + 5) + 3(4x + 5) ← distribute parenthesis

= 8x² + 10x + 12x + 15 ← collect like terms

= 8x² + 22x + 15

compare to ax² + bx + c

then c = 15

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The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag
Lelu [443]

Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

n = 25, \sigma = 3.8

So

M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90

So the correct answer is:

a.1.90 years

8 0
3 years ago
An aircraft flew 5 hours with the wind. The return trip took 6 hours against the wind. If the speed of the plane in still air is
Yakvenalex [24]

Answer:

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

Step-by-step explanation:

Given:

Time taken with wind = 5 hour

Time taken against wind = 6 hour

Assume;

Speed of wind = s

So,

Speed of Plane with wind = (260 + s) miles per hour

Speed of Plane against wind = (260 - s) miles per hour

Distance = speed x time

So,

(260 + s)5 = (260 - s)6

1,300 + 5s = 1,560 - 6s

11s = 260

s = 23.63 miles per hour

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

5 0
3 years ago
Didn’t learn this good
patriot [66]

.059, you move the decimal point two times to the left and the other way around when you want to convert into a percent

4 0
3 years ago
Susan is buying supplies for a party if spoons only come in one bag of 8 and forks only come in one bag of 6 what is the least n
denis23 [38]
Well you have to find the lest common factor
8 times 6
6 times 8
They both equal 48 so it would be the vise versa
6 0
4 years ago
I’m stuck lol pls help
GarryVolchara [31]

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

4 0
3 years ago
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