Ask question

Ask question

All categories

3 years ago

12

Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what di

stance will she cover?

1 answer:

Rashid [163]3 years ago

6 0

Answer: 80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

You might be interested in

1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find the value of f(5)/g(-3)

posledela

Answer:

<em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u>.</u></em><em><u>2</u></em>

Step-by-step explanation:

<u>f</u><u>{</u><u>5</u><u>}</u> = <u>6</u><u>(</u><u>5</u><u>^</u><u>2</u><u>)</u><u> </u><u>+</u><u> </u><u>2</u><u>(</u><u>5</u><u>)</u><u> </u><u>-</u><u> </u><u>7</u>

g{-3}= 4(-3)-3

= <u>6</u><u>(</u><u>2</u><u>5</u><u>)</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u><u> </u><u>-</u><u> </u><u>7</u>

-12 - 3

= <u>150</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u><u> </u><u>-</u><u> </u><u>7</u>

- 15

= <u>1</u><u>5</u><u>3</u>

-15

= <u>-</u><u>5</u><u>1</u>

5

= <em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u>.</u></em><em><u>2</u></em>

7 0

3 years ago

What is 4,000,275,000 in word form?

castortr0y [4]

Answer:

Four billion, two-hundred seventy five thousand.

4 0

2 years ago

Read 2 more answers

How do you do this I need help

Liula [17]

The answer is 2 and 5/6

5 0

2 years ago

Read 2 more answers

A triangle has side lengths of (3.76 + 1.7) centimeters, (1.36 + 1.1) centimeters,

pychu [463]

Answer:

Step-by-step explanation:

our triangle has one length: 3.76+1.7=5.46

another side: 1.36+1.1=2.46

last side: 7.1+5.1=12.20

Perimeter is=5.46+2.46+12.20=20.12 cm

7 0

3 years ago

The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

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

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

2 years ago