What is the value of a 3 - b 2 for a = 3 and b = ? A. 8 B. 8 3/4 26 3/4 26

When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary l

Volgvan

Answer:

See Below

Step-by-step explanation:

The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.

6 0

3 years ago

Which integer is square root 6 closest to

11Alexandr11 [23.1K]

The square root of 6 is 2.449...
and that is closest to 3

3 0

3 years ago

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data

Rasek [7]

Answer: a. 1.981 < μ < 2.18

b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

$\overline{x}=\frac{\Sigma x}{n}$

$\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}$

$\overline{x}=$ 2.08

Now, we estimate standard deviation:

$s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }$

$s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }$

s = 0.1564

For t-score, we need to determine degree of freedom and $\frac{\alpha}{2}$ :

df = 12 - 1

df = 11

$\alpha$ = 1 - 0.95

α = 0.05

$\frac{\alpha}{2}=$ 0.025

Then, t-score is

$t_{11,0.025}$ = 2.201

The interval will be

$\overline{x}$ ± $t.\frac{s}{\sqrt{n} }$

2.08 ± $2.201\frac{0.1564}{\sqrt{12} }$

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0

3 years ago

One factor of the polynomial is . which expression represents the other factor, or factors, of the polynomial?

stich3 [128]

Your question was incomplete. Please refer the content below:

One factor of a polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2 x² + 3 x + 1 ?

We get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).

Factor means that we have to split an expression into multiple values and make the power of the variable linear.

For a quadratic equation, there will be 2 factors.

We have the polynomial

2 x² + 3 x + 1

Using middle term splitting, we get that:

= 2 x² + 2 x + x + 1

Taking common factor:

= 2 x ( x + 1) + 1 (x + 1)

= (2 x + 1)( x + 1)

Therefore, we get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).

Learn more about polynomials here:

brainly.com/question/4142886

#SPJ4

7 0

2 years ago

Read 2 more answers

A learner finds a deck of 52 cards and then takes one card from the deck. What is the probability that the card is a king? Write

iVinArrow [24]

Answer:

The odds of choosing a club from a full deck is 13/52, or 1/4. Since there are now only 51 cards and 12 clubs, the odds are 12/51, or .2352

7 0

2 years ago