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3 years ago

The graph of the piecewise function f(x) is shown.

Mathematics

2 answers:

Vika [28.1K]3 years ago

7 0

Answer: [A]: The domain is:
_________________________________
{x | 1 ≤ x < 5} .
________________________________________

Note: The answer choices given for "A" and "B" are the same; you meant to type:
_________________________
[A]: {x | 1 ≤ x < 5} ;
_________________________
[B]: {x | 1 < x < 5} ;
__________________________
I know this from the answer choices given in the "image/figure" you have attached. Since: " {x | 1 ≤ x < 5} "
__________________________________________
is the correct answer, I just need to remind you to be sure to know that the
" ≤ " is the appropriate sign.
__________________________________________________

Bezzdna [24]3 years ago

5 0

First of all, it asks for domain, which is allowed x values.

So immediately we can rule out last 2 answer choices.

If you look at the graph, the allowed x values are from 1 to 5.

Note: closed circle means that number is included and open circle means that number is NOT included

Now we see that 1 has closed circle so 1 is included and there is an open circle at 5, so 5 is NOT included.

Correct domain is {x | $1\leq x$ .

ANSWER: Domain is {x | $1\leq x$

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As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0

4 years ago

The equation y=5+0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?

adell [148]

5 is the y intercept.

-Always the number without the variable.

5 0

2 years ago

six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the pr

Dafna1 [17]

Given:
6 girls
4 boys

Probability of 1 girl being chosen: 1/6
Probability of 1 boy being chosen: 1/4
Probability of another boy being chosen: 1/3

1/6 = 0.17 x 100% = 17%
1/4 = 0.25 x 100% = 25%
1/3 = 0.33 x 100% = 33%

17% + 25% + 33% = 75%

The probability that exactly one girl and two boys will receive awards is 75%.

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3 years ago

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In 10^3(exponent), 10 is the base, and 3 is the exponent. That means 10 will appear as a factor 3 times: 10 · 10 · 10. 10^3(expo

ira [324]

C. 7 2^7 makes 2 appear 7 times

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3 years ago

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In a kite ABCD, AB=AD, BC=CD; CAD=40° and

notka56 [123]

Answer: See below

Step-by-step explanation:

From the figure attached below,

We know that by the SSS property, the two triangles are congruent

$Since,$$\begin{aligned}&A D=A B(\text {Given}) \\&C D=B C(\text {Given}) \\&A C=A C \text { (Common side})\end{aligned}$$Hence,$$\triangle A B C \cong \triangle A C D$$By the properties of congruence,$$\angle O A D=\angle O A B=40^{\circ}$$$$\angle B=\angle D$

Using the property of congruence to find the measure of all these angles:

Therefore, the measure of the angles are:

$&a) \ B\widehat{ A} C=40^{\circ} \\ b) \ &B\widehat{C}A=180^{\circ}-\left(90^{\circ}+60^{\circ}\right)=30^{\circ} \\c) \ &A \widehat{D} C=60^{\circ}+50^{\circ}=110^{\circ}$

4 0

2 years ago