Question 10 of 10

Mathematics

1 answer:

Aliun [14]2 years ago

7 0

Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

$F(x) = x^2 - 2x - 7$

Find F(-5).

This is the value of F for which $x = -5$ . So

$F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28$

28, which means that the correct answer is given by option D.

You might be interested in

Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need

Mars2501 [29]

Answer:

$\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}$

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

$H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}$

Sample size, n = 35

Sample mean, $\bar{x}$ = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

It is the error of rejecting the null hypothesis when it is true.
It is also known as false positive error.
It is the rejecting of a true null hypothesis.

Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

8 0

3 years ago

Read 2 more answers

The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of

Ostrovityanka [42]

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

$P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278$