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3 years ago

In order to graduate from Ohio, you need to earn 3 points on an Algebra EOC or score remediation

Mathematics

1 answer:

ozzi3 years ago

6 0

The mean would be the center value. One line away on either side would be 1 standard Deviation, 2 lines away is 2 deviations and 3 lines away is 3 deviations.

You are told 1 deviation is 36.18

So 2 deviations would be 2 x 36.18 = 72.36 and 3 would be 3 x 36.18 = 108.54

To the left of the middle line subtract from mean

To the right of the middle line add To mean

Number in order from left to right:

595.85, 632.03, 668.21, 704.39, 740.57, 776.75, 812.93

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Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

In a jar of coins, the ratio of nickels to dimes is 2:7. If the jar contains 350 nickels, how many dimes are there? A) 175 B) 35

Dvinal [7]

No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)

3 0

3 years ago

Read 2 more answers

Find angles b,c and d

Mazyrski [523]

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

$b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\$

8 0

3 years ago

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. Your dat

Free_Kalibri [48]

Answer:

Probability of the day to be a snow day is 0.34

Step-by-step explanation:

We have the data,

Out of 21 which had less than 3 inches of snow, 5 were snow days.

Out of 8 days which had more than 3 inches of snow, 6 were snow days.

So, we get,

Total number of days = 21 + 8 = 29

Total number of snow days = 5 + 6 = 11

Thus, the probability that the day will be a snow day is $\frac{11}{29}$ i.e. 0.34

Hence, the probability of the day to be a snow day is 0.34.

5 0

3 years ago

The normal amount of of rainfall for July in Apple Valley is 11/24 feet. So far this July, only 3/10 of normal among has fallen.

worty [1.4K]

11/24 x 3/10 = 11/8 x 1/10 = 11/80 feet of rain has fallen on apple valley

7 0

3 years ago