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alexandr1967 [171]
2 years ago
15

The function f(x) = Negative Startroot x EndRoot is shown on the graph. On a coordinate plane, an absolute value graph starts at

(0, 0) and goes down and to the left through (4, negative 2). Which statement is correct? The domain of the function is all real numbers less than or equal to −1. The range of the function is all real numbers greater than or equal to 0. The range of the function is all real numbers less than or equal to 0. The domain of the function is all real numbers less than or equal to 0.
Mathematics
2 answers:
svet-max [94.6K]2 years ago
8 0

Answer:

It may be C

Step-by-step explanation:

Karo-lina-s [1.5K]2 years ago
7 0

Answer:

The correct answer is D

Step-by-step explanation:

The range of the function is all real numbers greater than or equal to 0.

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a driver travels 2 hours at 60 miles per hour ,during which her car gets 30 miles per gallon of gasoline.she is paid $0.50 per m
Sever21 [200]

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her  car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars  per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

<em>So, for 60 miles she will be paid = </em>60\times \$0.50 = \$30<em />

<em />

In a gallon of gasoline the car travels = 30 miles

<em>So, to travel 60 miles, the car would require = </em>\frac{60}{30}= 2<em> gallons of gasoline</em>

1 gallon of gasoline cost = $2.00

<em>Expenses for 2 gallons of gasoline = </em>2\times \$2.00=\$4<em />

<em />

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense = \$30-\$4=\$26

8 0
2 years ago
Rozonda defines the diameter of a circle as a line segment passing through the center of the circle. Is Rozonda’s definition val
larisa [96]

Answer: Yes Rozonda's definition is valid

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).
kifflom [539]

Answer:

3x^2 + 8  

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) =  f( g(x) )      ( Composition of functions )

=f(x^2)             ( From equation (2) )

=3x^2 + 8          ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

8 0
2 years ago
A math teacher tells her students that eating a healthy breakfast on a test day will help their brain function and perform well
kogti [31]

Answer:

Step-by-step explanation:

Hello!

To test the claim that eating a healthy breakfast improves the performance of students on their test a math teacher randomly asked 46 students what did they have for breakfast before they took the final exam and classified them as:

<u>Group 1</u>: Ate healthy breakfast

X₁: Number of students that ate a healthy breakfast before the exam and earned 80% or higher.

n₁= 26

<u>Group 2: </u>Did not eat healthy breakfast

X₂: Number of students that did not eat a healthy breakfast before the exam and earned 80% or higher.

n₂= 20

After the test she counted the number of students that got 80% or more in the test for each group obtaining the following sample proportions:

p'₁= 0.50

p'₂= 0.40

The parameters of study are the population proportions, if the claim is true then p₁ > p₂

And you can determine the hypotheses as

H₀: p₁ ≤ p₂

H₁: p₁ > p₂

α: 0.05

Z= \frac{(p'_1-p'_2)-(p_1-p_2)}{\sqrt{p'(1-p')[\frac{1}{n_1} +\frac{1}{n_2}] } } }≈N(0;1)

pooled sample proportion: p'= \frac{x_1+x_2}{n_1+n_2} =\frac{13+8}{46} = 0.46

Z_{H_0}= \frac{(0.5-0.4)-0}{\sqrt{0.46(1-0.46)[\frac{1}{26} +\frac{1}{20}] } } }= 0.67

p-value: 0.2514

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value: 0.2514 is greater than the significance level 0.05, the test is not significant.

At a 5% significance level you can conclude that the population proportion of math students that obtained at least 80% in the test and had a healthy breakfast is equal or less than the population proportion of math students that obtained at least 80% in the test and didn't have a healthy breakfast.

So having a healthy breakfast doesn't seem to improve the grades of students.

I hope this helps!

5 0
2 years ago
The probability of a train arriving on time and leaving on time is 0.8. The probability that the train arrives on time and leave
kkurt [141]

Answer:

<u>0.9524</u>

Step-by-step explanation:

<em>Note enough information is given in this problem. I will do a similar problem like this. The problem is:</em>

<em>The Probability of a train arriving on time and leaving on time is 0.8.The probability of the same train arriving on time is 0.84. The probability of the same train leaving on time is 0.86.Given the train arrived on time, what is the probability it will leave on time?</em>

<em />

<u>Solution:</u>

This is conditional probability.

Given:

  • Probability train arrive on time and leave on time = 0.8
  • Probability train arrive on time = 0.84
  • Probability train leave on time = 0.86

Now, according to conditional probability formula, we can write:

P(Leave \ on \  time | arrive \  on \ time) = P(arrive ∩ leave) / P(arrive)

Arrive ∩ leave means probability of arriving AND leaving on time, that is given as "0.8"

and

P(arrive) means probability arriving on time given as 0.84, so:

0.8/0.84 = <u>0.9524</u>

<u></u>

<u>This is the answer.</u>

5 0
2 years ago
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