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lys-0071 [83]
3 years ago
10

When constructing an angle bisector, why must the arcs intersect?

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0
<span>The arcs must intersect because the point at which the arcs intersect forms the halfway point of the angle; if they don’t intersect, the angle will not be bisected. </span>
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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
If the point on the graph is below the origin, x coordinates must be negative.
mariarad [96]

Answer:

true

Step-by-step explanation:

if the point if below or to the left of the origin, it is negative. if it is above or to the right of the origin, it is positive

8 0
3 years ago
Mitchell took out a loan for $1100 at a 19.2% APR, compounded monthly, to
goldenfox [79]

Answer:

C. 18

Step-by-step explanation:

We can find the numbers of payments using following formula

PV = PMT(1- (1+r)^-n)/r

PVr / PMT = 1 - (1+r)^-n

Where

PV = present value = $1,100

PMT = monthly payments = $71.50

r = interest rate = 19.2% / 12 = 1.6%

n = numbers of month = ?

Placing values in the formula

(1+r)^-n = 1 - PVr /PMT

1.016^-n = 1-1100 x 0.016/71.50

1.016^-n = 0.753846154

-n x log 1.016 = log 0.753846154

n = - log 0.753846154 /log 1.016

n = 17.8

n = 18 payments

4 0
3 years ago
Twice a number (n) is the same as 5 less than 3 times the number. What is the value of (n)?
irina [24]
2n = 3n - 5 (get all of n on one side by subtracting)
-1n = -5 (when you get here you have to divide by -1 to make n positive)
n = 5
8 0
3 years ago
PLS HELPPP MATHHH QUESTIONSSS REWARD BRAINLIEST AND STARS!!!!!!!!
CaHeK987 [17]
151 is a prime number, 616 prime factorization is 2^3 times 7 times 11, the gcf of 132 & 220 is 44, the prime factorization of 104 is 2^3 time 13, the the gcf for 333 & 441 is 9
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