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3 years ago

HELP ME WHATS THE VALUE OF X?

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Total sum of degrees of a Triangle is 180 deg

Than: 8x-7 + x +7 + 2x + 15 = 180

11x + 15 = 180

x = (180-15) / 11 =15

Answer: 15

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The expression -2(x-4) is the same as?

Tomtit [17]

Answer:

-2x + 8

Step-by-step explanation:

I applied the distribution technique to the original question.

5 0

3 years ago

[HELP] Are the diagonals of an isosceles trapezoid congruent?

erastovalidia [21]

Yes.

the properties of an isosceles trapezoid are:
- the bases are parallel
- opposite sides are congruent
- the angles on either side of the bases are congruent
- the diagonals are congruent

3 0

3 years ago

A new truck costs $32,000 if the truck is worth 24,500 after three years write an explicit formula for the value of the car afte

Debora [2.8K]

Answer:

Step-by-step explanation:

depreciation for three years = 32000 - 24500 = $ 7500

depreciation per year = 7500/3 = $ 2500

depreciation % = (2500/32000)*100 = 7.81%

Value of truck after n years = 32000 * (7.81%)*n

8 0

3 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

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

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

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

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

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

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

Which coefficient matrix represents a system of linear equations that has a unique solution ?

finlep [7]

Answer:

Option C

Step-by-step explanation:

We are given a coefficient matrix along and not the solution matrix

Since solution matrix is not given we cannot check for infinity solutions.

But we can check whether coefficient matrix is 0 or not

If coefficient matrix is zero, the system is inconsistent and hence no solution.

Option A)

|A|= $\left[\begin{array}{ccc}4&2&6\\2&1&3\\-2&3&-4\end{array}\right] =0$

since II row is a multiple of I row

Hence no solution or infinite

OPtion B

|B|= $\left[\begin{array}{ccc}2&0&-2\\-7&1&5\\4&-2&0\end{array}\right] \\=2(10)-2(10)=0$

Hence no solution or infinite

Option C

$\left[\begin{array}{ccc}6&0&-2\\-2&0&6\\1&-2&0\end{array}\right] \\=2(36-2)=68$

Hence there will be a unique solution

Option D

$\left[\begin{array}{ccc}5&10&5\\4&1&4\\-1&-2&-1\end{array}\right] \\=2(10)-2(10)=0$ =0

(since I row is -5 times III row)

Hence there will be no or infinite solution

Option C is the correct answer

4 0

3 years ago

Read 2 more answers