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2 years ago

James Saw 12 cars and 7 trucks parked at the parking lot. Which one of the following statements is NOT true?

Mathematics

1 answer:

IgorC [24]2 years ago

5 0

Answer:

D is incorrect

Step-by-step explanation: A is correct because there are 12 cars and 7 trucks. B is correct because there are 7 trucks and 12 cars. C is correct because there are 12 cars and 19 total vehicles(7+12=19). D is incorrect because while there are 7 trucks, there are not 12 vehicles in TOTAL.

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Choose the equation of the line that is parallel to the y- axis.

Alex17521 [72]

The answer is x=-2 because its the only one thats parallel to the y axis

8 0

2 years ago

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Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health

Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, we clear x (this is the number of years past the year 2000, so it will contain our desired information).

$y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}$

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and this total is our variable y, then

$x=\frac{1400-543}{39.6}\approx 21.6$

Finally, we know that x is the number of years past the year 2000, so the answer is that during the year 2021, the per capita out-of-pocket expenses for health care are predicted to be $1400.

3 0

3 years ago

Kim drives x miles a week. Terry drives two times more than Kim and Jerry drives three times more than Terry. Which expression r

Anastasy [175]

Kim drives = x
Terry drives = 2x
Jerry drives = 6x

Let us go through our answer choices and choose one.

A is incorrect because we are not being asked to add anything.

B is incorrect because it equals what all of the drivers drive.

2(x+3)
2*x + 2*3
2x + 6x

C is incorrect because we are not being asked to subtract.

D is correct because Jerry drives 3 times as much as terry.

2x*3
6x

So our final answer is D. 6x

3 0

2 years ago

Read 2 more answers

Please answer! I crossed out the ones you don’t have to complete.

Nina [5.8K]

Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: $\mathbf{5^3a^2b^4c}$

5. $x^-6 = \frac{1}{x^6}$

6. $5^{-3}.3^{-1}=\frac{1}{5^3.3^1}$

7. $a^{-3}b^0c^4=\frac{c^4}{a^3}$

Step-by-step explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as: $=5^{1+1+1}=5^3$

a.a as $a^{1+1}=a^2$

b.b.b.b as: $b^{1+1+1+1}=b^4$

So, our result will be:

$5^3a^2b^4c$

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: $\mathbf{5^3a^2b^4c}$

Question:

Rewrite using positive exponent:

The rule used here will be: $a^{-1}=\frac{1}{a^1}$ which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5) $x^{-6} = \frac{1}{x^6}$

6) $5^{-3}.3^{-1}=\frac{1}{5^3.3^1}$

7) $a^{-3}b^0c^4=\frac{b^0c^4}{a^3}$

We know that $b^0=1$ so, we get

$a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}$

4 0

3 years ago

A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp

Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 70} \\ \\ \mathtt{H_1 : \mu > 70 }$

The z score for this statistics can be calculated by using the formula:

$z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}$

$z = \dfrac{3}{\dfrac{7}{5}}$

$z = \dfrac{3 \times 5}{{7}{}}$

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value = 1 - 0.9839

P - value = 0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0

2 years ago