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Ber [7]
3 years ago
9

In general, the y-intercept of the function F(x) = a bx is the point _____.

Mathematics
2 answers:
Talja [164]3 years ago
8 0
<span><u><em>Answer:</em></u>
(0,a)

<u><em>Explanation:</em></u>
<u><em>The general form of the linear equation is:</em></u>
y = bx + a

<u>The y-intercept</u> is the value of the y that occurs at x = 0.
<u><em>Substitute with x = 0 in the equation:</em></u>
y = b(0) + a
y = a

<u><em>This means that:</em></u>
at x = 0 ............> y = a

Therefore, the coordinate of the y-intercept would be (0,a)

Hope this helps :)</span>
faltersainse [42]3 years ago
4 0

Answer:

(0,a)

Step-by-step explanation:

I just got it right

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Find the x and y intercepts. 3x - 2y = 20
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4 years ago
Ma. Lott’s works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Lott’s
Contact [7]

Answer:

x=3y+6

x+y=110

The number of CDs sold last week was 84 and the number of CDs sold this week was 26

Step-by-step explanation:

Let

x ---> number of CDs sold last week

y ---> number of CDs sold this week

we know that

Last week she sold 6 more than 3 times the number of CDs that she sold this week

x=3y+6 ----> equation A

Ms. Lott’s sold a total of 110 CDs over the 2 weeks

x+y=110 ----> equation B

Solve the system by substitution

substitute equation A in equation B

3y+6+y=110

solve for y

4y+6=110\\4y=110-6\\4y=104\\y=26

Find the value of x

x+26=110\\x=110-26\\x=84

therefore

The number of CDs sold last week was 84 and the number of CDs sold this week was 26

5 0
3 years ago
A​ person's blood pressure is monitored by taking 4 readings daily. The probability distribution of his reading had a mean of 13
ss7ja [257]

Answer:

a) Mean = 133, Standard deviation = 2.5

b) Normal distribution

c) 0.0026

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 4

Mean = 133

Standard deviation = 5

a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.

The sampling distribution has a mean equal to the population mean

\bar{x} = \mu = 133

The standard deviation of the sampling distribution is given by:

\sigma_s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{5}{\sqrt{4}} = 2.5

b) Shape of the sampling​ distribution

Central limit theorem:

When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.

Since the distribution is normal,  the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.

c) P(sample mean exceeds 140)

P( x > 140) = P( z > \displaystyle\frac{140 - 133}{2.5}) = P(z > 2.8)

= 1 - P(z \leq 2.8)

Calculation the value from standard normal z table, we have,  

P(x > 140) = 1 - 0.9974 = 0.0026

0.0026 is the probability that the sample mean exceeds 140.

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