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mixas84 [53]
3 years ago
10

The distance from Gary's school to the corner market is 47 yards.The distance to the BART station is 12 times as far How far is

the BART station from Gary's school ​
Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

The distance from Gary's school to  the BART station is 564 yards

Step-by-step explanation:

Let

x ----> the distance  from Gary's school to the corner market

y ----> the distance from Gary's school to  the BART station

we have

x=47\ yd

we know that

To find out the distance from Gary's school to  the BART station, multiply the distance from Gary's school to the corner market by 12

so

y=12x

substitute the value of x

y=12(47)=564\ yd

therefore

The distance from Gary's school to  the BART station is 564 yards

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A new gas- and electric-powered hybrid car has recently hit the market. The distance traveled on 1 gallon of fuel is normally di
Doss [256]

Answer:

a) P [ Z > 70 ]  = 0.1075  or 10.75 %

b)  P [ Z < 60 ] = 0.1038   or  10.38 %

c)  P [ 55 ≤ Z ≤ 70 ] =  0.8882   or 88.82 %

Step-by-step explanation:

Normal Distribution  μ = 65    and σ = 4

a) The probability of the car travels more than 70 miles per gallon is:

P [ Z > 70 ]  =  (Z-μ) ÷ σ  ⇒   P [ Z > 70 ] = (70-65) ÷4     P [ Z > 70 ] = 1.25

the point 1.25 corresponds at values, from left tail up to 70 so we must go and look for the area for the point 1.24 which is 0.8925. Then we have the area or probability of all cars traveling up  to 70 miles therefore  we have to subtract 1 -0,8925

P [ Z > 70 ]  = 0.1075  or 10.75 %

b)The probability of the car travels less than 60 miles per gallon is:

P [ Z < 60 ]  = ( 60 - μ ) ÷  σ ⇒  P [ Z < 60 ] = (60-65)÷ 4    P [ Z < 60 ] = -1.25

Again -1.25 corresponds to 60 miles per gallon threfore we move to the left and find for point -1.26  which area is 0.1038 so

P [ Z < 60 ] = 0.1038     10.38 %

c) P [ 55 ≤ Z ≤ 70]

For  point  Z = 70 or 1.25 (case a above)  P [ Z ≤ 70] = (70-65)÷4  

P [ Z ≤ 70] = 1.25

In this case we got the whole area from the left tail up to 1.25

P [ Z ≤ 70]  = 0.8944 (includes the area of the point from the left tail up to the point assocciated to 55 miles and for that reason we have to subtract that area)

P [ Z ≥ 55 ]  = (55-65) ÷ 4     P [ Z ≥ 55 ] = -2.5  and the area is 0.0062

So P [ 55 ≤ Z ≤ 70 ] =  0.8944 - 0.0062  = 0.8882

8 0
3 years ago
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AnnZ [28]

Answer:

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Step-by-step explanation:

6 0
3 years ago
There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu
Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100

P(Red) = \frac{55}{200}\times100

P(Red) = 27.5\%

Hence Probability of picking Red ball is 27.5%.

6 0
3 years ago
help ASAP !!!!!!! A recipe calls for 2 cups of flour to make 24 cookies. What is the constant of proportionality that relates th
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Answer:

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Step-by-step explanation:

2x=24y

divide by 2 on both sides

x=12y

5 0
3 years ago
Need help with mathematics,can you help me? Ohh please answer this​
asambeis [7]

Answer:

see explanation

Step-by-step explanation:

The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.

Δ FUN

largest angle is ∠ FUN ( opposite FN )

smallest angle is ∠ NFU ( opposite NU )

Δ GEO

largest angle is ∠ GEO ( opposite GO )

smallest angle is ∠ GOE ( opposite GE )

---------------------------------------------------------------------------

The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.

∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°

Δ TRY is therefore isosceles with 2 congruent legs RT, RY

longest side is TY ( opposite 70° )

shortest sides are RT , RY ( opposite 55° )

8 0
3 years ago
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