All categories

3 years ago

Find the slope line that goes through the following points

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

Answer:

B and D

Step-by-step explanation:

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

(4)

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (3, - 1) ← 2 points from table

m = $\frac{-1+4}{3-0}$ = $\frac{3}{3}$ = 1 → B

(5)

with (x₁, y₁ ) = (- 1, - 4) and (x₂, y₂ ) = (2, 5) ← 2 points from table

m = $\frac{5+4}{2+1}$ = $\frac{9}{3}$ = 3 → D

You might be interested in

5. At the Copy Center, 19 copies cost $1.14. At that rate, how much will 50 copies

Volgvan

B- $3.00

19/1.14 = .06

.06 x 50 = $3.00

6 0

3 years ago

Read 2 more answers

In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a

Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it. The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:

X[bar] ± $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Where the semiamplitude or margin of error of the interval is:

d= $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Using a 95% level $Z_{0.975}= 1.965$

d= 1.965 * $\frac{2.1}{\sqrt{80} }$

d= 0.46

The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

And the estimation using a 95%CI is [21.74;22.66]

I hope this helps!

8 0

3 years ago

What is the value of the expression: 2 - (3x + 5y) if x = -3 and y = 4?

WARRIOR [948]

<h3>Hello there today we will solve your problem</h3>

here is our equation,

$2-(3x+5y)$ ,

Now we will plug in our numbers

__________________

${\boxed{x=-3}}$
${\boxed{y=4}$

__________________

$2-(3\cdot-3+5\cdot4)$

simplify it and we get

$2-(-9+20)$

$2-11$

$-9$

7 0

2 years ago

Read 2 more answers

You drive 150 miles in 3 hours before stopping for 30 minutes to have lunch and gas. After lunch you travel 100 miles in an hou

KiRa [710]

Average speed = total miles driven / total driving time
average speed = (150 + 100) / (3 + 1 1/2) =
250 / (4 1/2) =
250 / (9/2) =
250 * 2/9 =
500 / 9 = 55.55 mph

7 0

3 years ago

Last year, the gym membership fee was $60. This year the fee is $48. By what percentage was the membership fee reduced

dexar [7]

I think I went down by 29 dollars and 76 cent

5 0

3 years ago