The table shows the lowest elevations in some countries.

What is the slope of the line shown? -7/9 9/7 7/9 -9/7

SpyIntel [72]

To find slope, we must find the change in y values divided by the change in x values, also called the rise/run. This is modeled below:

Slope = m = (y1 - y2)/(x1-x2) = (6-(-3))/(1 - (-6)) = (6+3)/(1+6) = 9/7

We can check that this answer is correct by consulting the graph. The graph shows a positive correlation (means that the slope should be positive), and if you count the graph unit squares, you get that the graph moves up 9 squares and over 7 squares between the two points shown, letting us know we got the right answer.

Hope this helps!

7 0

3 years ago

You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic

yarga [219]

Answer:

16 in × 20 in

Step-by-step explanation:

Finding the % of the picture that can fit in 16×20 frame

Area of picture= length by width

=4*6=24 in²

Area of frame=Length by width

=16*20=320 in²

% of the picture in the frame will be

(24/320) * 100% =7.5%

2. Finding the % of the picture that can fit in 18 × 24 frame

Area of picture=24 in²

Area of frame =Length by width

=18*24=432 in²

% of the picture in the frame will be;

(24/432)*100%=5.6%

The frame 16 by 20 in will keep 7.5% of the original picture

The frame 18 by 24 in will keep 5.6% of the original picture

Hence you should use the frame of 16 by 20 in because it will keep more of the original picture.

6 0

3 years ago

2. You throw a softball straight up into the air at a velocity of 30 feet per second. You release the softball at a height of 5.

nadya68 [22]

Answer:

$-16t^2+30t+5.8$

Step-by-step explanation:

We are given that

Initial velocity=30 ft/s

Initial position= $s_0=5.8 ft$

We have to write a mathematical model for height of the softball by using the position equation

The position equation on Earth's surface is given by

$h(t)=-16t^2+v_0t+s_0$

Where $v_0=$ Initial velocity

$s_0$ =Initial position

Substitute the values in the equation then, we get

$h(t)=-16t^2+30t+5.8$

Hence, the mathematical model for height of the softball is given by

$-16t^2+30t+5.8$

5 0

3 years ago

he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on w

stellarik [79]

Answer:

90% confidence interval is ( -149.114, -62.666 )

Step-by-step explanation:

Given the data in the question;

Sample 1 Sample 2

x"₁ = 259.23 x"₂ = 365.12

s₁ = 34.713 s₂ = 48.297

n₁ = 5 n₂ = 10

With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }

significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1

Since we are to assume that variance are equal and they are know, we will use pooled variance;

Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13

Now, pooled estimate of variance will be;

$S_p^2$ = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]

we substitute

$S_p^2$ = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]

$S_p^2$ = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]

$S_p^2$ = [ 4819.9692 + 20993.4 ] / [ 13 ]

$S_p^2$ = 25813.3692 / 13

$S_p^2$ = 1985.64378

Now the Standard Error will be;

$S_{x1-x2$ = √[ ( $S_p^2$ / n₁ ) + ( $S_p^2$ / n₂ ) ]

we substitute

$S_{x1-x2$ = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]

$S_{x1-x2$ = √[ 397.128756 + 198.564378 ]

$S_{x1-x2$ = √595.693134

$S_{x1-x2$ = 24.4068

Critical Value = $t_{\frac{\alpha }{2}, df$ = $t_{0.05, df=13$ = 1.771 { t-table }

So,

Margin of Error E = $t_{\frac{\alpha }{2}, df$ × [ ( $S_p^2$ / n₁ ) + ( $S_p^2$ / n₂ ) ]

we substitute

Margin of Error E = 1.771 × 24.4068

Margin of Error E = 43.224

Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89

So, Limits of 90% CI will be; x₁ - x₂ ± E

Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114

Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666

Therefore, 90% confidence interval is ( -149.114, -62.666 )

3 0

3 years ago

Free brainlist for the first one

Lunna [17]

Answer:

i mean ill take it

Step-by-step explanation:

3 0

3 years ago

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