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-BARSIC- [3]
3 years ago
8

If f (x) = -2x^2 + 3 then f (-3) = 1. -15 2. 21 3. 39 4. -18

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

-15

Step-by-step explanation:

put f(-3)=-2*(-3)^2+3

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A laboratory tested 85 chicken eggs and found that the mean amount of cholesterol was 190 milligrams. Assume that the sample sta
Serjik [45]

Answer:   (182.356,\ 197.644)

Step-by-step explanation:

Given : Significance level : \alpha:1-0.95=0.05

Sample size : n=85

Critical value : z_{\alpha/2}=1.96

Sample mean : \overline{x}=190

Standard deviation : \sigma=11.7

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=190\pm(1.96)\dfrac{11.7}{\sqrt{9}}\\\\=190\pm7.644\\\\=(190-7.644,\ 190+7.644)=(182.356,\ 197.644)

Thus, the 95% confidence interval for the true mean cholesterol content, μ, of all such eggs = (182.356,\ 197.644)

Hence, we conclude that the true population mean of amount of cholesterol lies between 182.356 and 197.644.

5 0
3 years ago
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
emmasim [6.3K]

Given:

Initial cost of living = $44,000

Rate of increase = 5% = 0.05

To find:

The cost of living in 20 years.

Solution:

The exponential growth model is:

y=a(1+r)^t

Where, a is the initial value, r is the growth rate and t is the number of years.

Putting a=44000,r=0.05, t=20 in the above model, we get

y=44000(1+0.05)^{20}

y=44000(1.05)^{20}

y=116745.099026


y\approx 116745.10


Therefore, the cost of living in 20 years is about $116745.10.

5 0
3 years ago
Use the information to find k, and then choose the equation of variation. X=13 when y=100
Degger [83]




y=kx
y=100
K=13
100=k13
k= 7.69
6 0
3 years ago
I am not understanding these problems. Help me, please?
yanalaym [24]

Answer:

I think I know the answer but not 100% sure

Step-by-step explanation:

Step 1: Complete the scatter plot

Step 2: After you get done, submit the answer and see what grade you get.

7 0
3 years ago
Consider the function shown on the graph. Complete the statements to make them true
goldenfox [79]

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

4 0
3 years ago
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