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Nat2105 [25]
3 years ago
7

Candidates for employment at a city fire department are required to take a written aptitude test. scores on this test are normal

ly distributed with a mean of 280 and a standard deviation of 60. a random sample of nine test scores was taken.
Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0
<span>If a sample of 9 test scores is taken, there is approximately a 68% chance that the scores will be between the scores of 220 and 340, a 95% chance that they will be between 160 and 400 and a 99.7% chance the scores will be between 100 and 460.</span>
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Long division by single digit <br>​
Sauron [17]

Answer:

Here's an example of long division:

Step-by-step explanation:

Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.

Hope this answers your question!

7 0
3 years ago
The graph of a sine function g(x) is presented below.
NISA [10]

Solution

To determine the vertical translation

We need to determine the amplitude

The amplitude is

\frac{10-4}{2}=\frac{6}{2}=3

Since the minimum is 4

Hence, the Vertical shift is 3+4 = 7

Part B

Given f(x) = 4 sin(θ - 45) + 8

The vertical translation is 8

3 0
1 year ago
16. Find the value of x*<br> 8. 2x-6<br><br> A 10 <br> B 7<br> C -7<br> D -10
Vikki [24]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2x - 6 = 8

Add sides 6

2x - 6 + 6 = 8 + 6

2x = 14

Divide sides by 2

\frac{2x}{2}  =  \frac{14}{2}  \\

x = 7

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( B )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

5 0
3 years ago
Read 2 more answers
The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2. The y-intercept
Maru [420]

Answer:

p(x) =  - 0.7(x - 3)^{2} (x + 2)

Step-by-step explanation:

We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.

This means the factored form of the polynomial will be.

p(x) = a(x - 3)^{2} (x + 2)

Also, it was given that, the y-intercept is y=-12.6.

This implies that:

- 12.6= a(0 - 3)^{2} (0 + 2)

- 12.6= a(- 3)^{2} (2)

- 12.6= 18a

Divide both sides by 18;

a =  \frac{ - 12.6}{18}

a= - 0.7

Therefore the polynomial is

p(x) =  - 0.7(x - 3)^{2} (x + 2)

7 0
3 years ago
anu borrows 12,500 as 12% per annum for 3 years at simple interest find the simple interest she has to pay at the end of 3 years
marishachu [46]

Answer:

The interest is 4,500

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = 12,500

r = interest rate = 12% = 0.12

t = time = 3 years

I = Prt

I = 12,500 × 0.12 × 3

I = 4,500

3 0
2 years ago
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