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2 years ago

What does the model predict for 1900?

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

3 0

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

$y = -0.1271x + 307.53$

To find: Prediction for the year 1900.

Putting the value of $x=1900$ , the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

$\Rightarrow y = -0.1271\times (1900) + 307.53\\\Rightarrow y = -241.49 + 307.53\\\Rightarrow y = -64.04\%\\OR\\y \approx 64.0\%$

So, the model predicts $y \approx 64.0\%$ for the year 1900.

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What value of n makes the equation true? -2n + 1.8 =3.2

stich3 [128]

Answer:

-0.7

Step-by-step explanation:

-2n+1.8=3.2

-2n=3.2-1.8

-2n=1.4

n=1.4/-2

n=-0.7

4 0

2 years ago

Need to find volume, step by step explanation pls

worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

$V_1=\dfrac{2}{3}\pi r^3$

Where, r is the radius of the hemisphere.

$V_1=\dfrac{2}{3}(3.14)(6)^3$

$V_1=\dfrac{6.28}{3}(216)$

$V_1=452.16$

Volume of cylinder is:

$V_2=\pi r^2h$

Where, r is the radius of the cylinder and h is the height of the cylinder.

$V_2=(3.14)(6)^2(12)$

$V_2=(3.14)(36)(12)$

$V_2=1356.48$

We know that,

$l^2=r^2+h^2$ [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

$(10)^2=(6)^2+h^2$

$100-36=h^2$

$\sqrt{64}=h$

$8=h$

Volume of cone is:

$V_3=\dfrac{1}{3}\pi r^2h$

Where, r is the radius of the cone and h is the height of the cone.

$V_3=\dfrac{1}{3}(3.14)(6)^2(8)$

$V_3=\dfrac{25.12}{3}(36)$

$V_3=301.44$

Now, the volume of the combined figure is:

$V=V_1+V_2+V_3$

$V=452.16+1356.48+301.44$

$V=2110.08$

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0

2 years ago

Kim rode her biyciclye 135 miles in 9 weeks. Eric rode her biciclye 102 miles in 6 weeks riding the sam edistance each week what

sdas [7]

Answer:

A.) Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Kim rode her biyciclye 135 miles in 9 weeks.

Number of miles Kim rode per week = Total miles travelled / number of weeks

= 135 miles / 9 weeks

= 15 miles per week

Eric rode her biciclye 102 miles in 6 weeks

Number of miles Eric rode per week = Total miles travelled / number of weeks

= 102 miles / 6 weeks

= 17 miles per week

The correct answer is

A.) Eric rode 2 more miles per week than Kim rode

3 0

2 years ago

I need help fast plss ive failed this test 7 times already

liberstina [14]

it's either a or b, not sure but I think it's b

5 0

2 years ago

Which image below is an acute triangle?

lawyer [7]

I don’t see any images but any angle measured less than 90 degrees is an acute angle

4 0

2 years ago