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3 years ago

Select the correct answer(click the photo)

Mathematics

1 answer:

MatroZZZ [7]3 years ago

3 0

Answer:

General Formulas and Concepts:

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define function

f(x) = 8x + 4

Step 2: Prep

Rewrite: y = 8x + 4
Swap x and y: x = 8y + 4

Step 3: Find Inverse (Solve for y)

Subtract 4 on both sides: x - 4 = 8y
Divide both sides by 8: (x - 4)/8 = y
Rewrite: y = (x - 4)/8
Rewrite: f⁻¹(x) = (x - 4)/8

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Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

german

X = 6 cos(t)
y = 3 sin(t)

we can rewrite these equations as:

$\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)$

Taking squares of both equations we get:

$( \frac{x}{6})^{2}=sin^{2} (t) \\ \\ 
( \frac{y}{3})^{2}=cos^{2}(t)$

Adding both the equations, we get:

$\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t) \\ \\ 
 \frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=1$

6 0

3 years ago

What is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above?

lorasvet [3.4K]

Answer:

Option C. $P=0.531$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space (total person's hemoglobin level of 9 or above with age above 35 years)

y-----> size of the sample space (total person's age above 35 years)

$P=\frac{x}{y}$

In this problem we have

$y=162$

Complete the table to find the total person's hemoglobin level of 9 or above (person's age above 35)

Let

y------> total person's hemoglobin level between 9 and 11 (person's age above 35)

$y+76+40=162$

$y=46$

Find the value of x

$x=46+40=86$

substitute the values

$P=\frac{86}{162}=0.531$

4 0

3 years ago

Read 2 more answers

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

oksian1 [2.3K]

Answer: 0.0548

Step-by-step explanation:

Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.

Let $\overline{X}$ represents the sample mean GPA for each student.

Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:

$P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z$