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2 years ago

#3 please find f (5)

Mathematics

1 answer:

tekilochka [14]2 years ago

6 0

Answer:

Step-by-step explanation:

All we are doing here is simply plugging in a 5 for x in the function and finding out the value.

$f(5)=\frac{-2}{-5(5)-19}$ and

$f(5)=\frac{-2}{-25-19}$ and

$f(5)=\frac{-2}{-44}$ so

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Solve 6! pls I need help!!

dolphi86 [110]

Answer:

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2 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

Finally, the interval at 98% confidence level is:

$CI(\mu)=\lbrack28.94,31.06\rbrack$

4 0

9 months ago

Which expressions are equivalent to -6n+(-12)+4n

Elza [17]

Answer:

-2n - 12

Step-by-step explanation:

Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.

-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12

-2n - 12 is your answer

5 0

2 years ago

Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (

Feliz [49]

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: $(x + 7)^2 + (y - 10)^2 = 13^2$

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

$(5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2$

Option B (-7,-3)

When x=-7, y=-3

$(-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2$

Option C (-6,-10)

When x=-6, y=-10

$(-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2$

Option D (6,23)

When x=6, y=23

$(6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2$

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

4 0

2 years ago

A company is deciding which box to use for their

AnnZ [28]

Total surface area of first box = 2(8 * 6.25) + 2(8 * 10.5) + 2(6.25 * 10.5) = 2(50) + 2(84) + 2(65.625) = 100 + 168 + 131.25 = 399.25 sq. ins

Total surface area of second box = 2(9 * 5.5) + 2(9 * 11.75) + 2(5.5 * 11.75) = 2(49.5) + 2(105.75) + 2(64.625) = 99 + 211.5 + 129.25 = 439.75 sq. ins

Hence, the second box requires more material to make.

4 0

3 years ago