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mote1985 [20]
3 years ago
6

Write slope form of the equation of a line with the y intercept-3 and a slope of 1/2​

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

x=3

y=1/2

HOPE THIS HELPS YOU

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What is the unit rate
Andrew [12]

Answer:15 1/2 miles per gallon


Step-by-step explanation:

Since you want to find the unit rate you have to find the miles per gas.

You divide and get 15 1/2miles per gallon

7 0
4 years ago
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
3 years ago
18x = ~36?
FromTheMoon [43]

Answer:

from the picture the answer is D.

Step-by-step explanation:

2 \ti4mes \f7rac{?}{?}

to find x subtract 18x from 4x which will give you -14x=-36

divide both sides by -14

4 0
3 years ago
Using the order of operations rule, solve the following 12 divided by 2 plus 4 minus 2 times 3 equals ?
laiz [17]

Answer:

12 divided by 2 + 4 - 2 x 3 is 4

Step-by-step explanation:

I did 12 divided by 2 first which was 6 then added 4 subtracted it by 2 then multiplied it by 3 and got 4.

6 0
3 years ago
Slope intercept! Please help! Will mark brainliest.
avanturin [10]

3) y = -\frac{1}{2}x + 3

Slope-intercept form is y = mx + b when m is the slope and b is the y-intercept

b = 2 (line hits y-axis at 2)

m = \frac{rise}{run} or\frac{change.in.y}{change.in.x} so \frac{1}{2} and the line is negative, so -\frac{1}{2}

Write our equation by putting the parts together, and we get:

y = -\frac{1}{2}x + 3

4) y =  -\frac{2}{3}x - 1.67

Point slope form is y - y1 = m (x - x1) when y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate of the point

y - y1 = m (x - x1)

Finding the slope (same as above) results in -\frac{2}{3}

<em>*aaaa I have to go, good luck, I do have the answer just no times to write out the steps, good luck and have a nice day!*</em>

3 0
3 years ago
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