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asambeis [7]
3 years ago
15

Kaitlin is on her way home in her car. She has driven 30 miles so far, which is two-thirds of the way home. What is the total le

ngth of her drive?
Mathematics
2 answers:
Alexxx [7]3 years ago
7 0
30 is 2/3 so
30/x to 2/3
30 x 3 = 90
90/2
45 miles
Mice21 [21]3 years ago
5 0
Her total length of her drive is 45 miles because if you divide 30  by 2 it equals 15 and 15 time 3 equals 45
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The scores on a psychology exam were normally distributed with a mean of 60 and a standard deviation of 10 . A failing grade on
tensa zangetsu [6.8K]

Answer:

The cutoff for a failing score was 40,

Approximately 2.3% of the students failed. ​

Step-by-step explanation:

Given,

Mean, \mu=60

Standard deviation, \sigma=10

Let x represents the cutoff for a failing score,

Thus, according to the question,

\frac{x-\mu}{\sigma}=-2

\frac{x-60}{10}=-2

x-60=-20

x=-20+60

x=40

Thus, the cutoff for a failing score is 40,

∵ P(<-2) = 0.02275 = 2.275 % ≈ 2.3 %

Hence, Approximately 2.3 % of the students failed. ​

7 0
3 years ago
-3(1+6r)+12=14. solve for r
emmasim [6.3K]

Answer: r = -5/18


Step-by-step explanation: You solve -3(1+6r)+12=14

-3-18r+12=14 (When distributed)

-18r+9=14

-18r=5

r=-5/18


6 0
3 years ago
Read 2 more answers
One of the corners of a rectangle is shown.
tensa zangetsu [6.8K]

Answer:

70 degrees

Step-by-step explanation:

rectange angle total = 360

1 corner = 90

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8 0
2 years ago
the vertices of parallelogram abcd are A(4,0,3), B(3,4,-2),C(-2,0,1). find the coodrdinates of fourth vertices
lakkis [162]

Given :

The vertices of parallelogram ABCD are A(4,0,3), B(3,4,-2),C(-2,0,1).

To Find :

The coordinates of fourth vertices.

Solution :

We know, the vertices are ABCD .

Let, point D is (x,y,z) .

Also, diagonals of a parallelogram bisect each other.

Let, point of intersection of daigonal is O.

Coordinates of O are :

O_x = \dfrac{4+(-2)}{2}= 1\\\\O_y = \dfrac{0+0}{2 } = 0 \\\\O_z = \dfrac{3+1}{2}= 2

O(1,0,2)

Value of point O through BD.

O_x = \dfrac{3+x}{2}\\\\x=-1\\\\O_y = \dfrac{4+y}{2}\\\\y = -4\\\\O_z= \dfrac{-2+z}{2}\\\\z = 6

Therefore, the fourth vertices is D( -1,-4,6 ).

7 0
2 years ago
Need help ASAP pls. Need it asap
Strike441 [17]

Answer:

sin x = 39/89       cos x = 80/89     tan x = 89/80

Step-by-step explanation:

SOA  CAH  TOA

sin = opp/adj

cos = adj/hyp

tan = opp/adj

4 0
3 years ago
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