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Slav-nsk [51]
3 years ago
15

Line a is parallel to line b, m<2 = 4x+44 , And m<6=6x+36. Find the value of x

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

<2 and <6 are equal because of the corresponding angles thm so:

4x + 44 = 6x + 36

4x - 6x = 36 - 44

-2x = -8

x = 4

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Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
Doss [256]

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8

4 0
3 years ago
What is the inverse of the function f(x) = x +3?
harkovskaia [24]

Answer:

x=y+3

Step-by-step explanation:

you just swap variables.

4 0
3 years ago
Need help with geometry
ra1l [238]
The answer is x=3 because abt+tbc=abc
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Anvisha [2.4K]

Answer:

The value of x is 30°

Step-by-step explanation:

X° + 90° = 129° (Exterior angle property)

x° = 129° - 99° = 30°

<u>x°</u><u> </u><u>=</u><u> </u><u>3</u><u>0</u><u>°</u>

Hope it helps:)

6 0
3 years ago
4x^2+4x+1=9 what are all the solutions? Thanks
ziro4ka [17]
4x^2+4x-8=0
X^2+x-2=0
(X+2)(x-1)=0
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8 0
3 years ago
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