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3 years ago

If g(x) = 2(x − 4), find the value of x if g(x) = 20. 32 12

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

Answer:

The value of x is $14$

Step-by-step explanation:

we have

$g(x)=2(x-4)$ ------> equation A

In this problem we have

$g(x)=20$

Substitute the value of g(x) in the equation A and solve for x

$20=2(x-4)$

Divide by $2$ both sides

$20/2=2(x-4)/2$

$10=(x-4)$

Adds $4$ both sides

$10+4=(x-4)+4$

$x=14$

AleksandrR [38]3 years ago

3 0

Answer:

Step-by-step explanation:

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Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls.

earnstyle [38]

Answer:

it would be 3/7

Step-by-step explanation:

3+4=7 3 cousins out of the seven are girls

6 0

4 years ago

The probability density function of the time you arrive at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.1 exp(−0.1x) for

Blababa [14]

$f_X(x)=\begin{cases}0.1e^{-0.1x}&\text{for }x>0\\0&\text{otherwise}\end{cases}$

a. 9:00 AM is the 60 minute mark:

$f_X(60)=0.1e^{-0.1\cdot60}\approx0.000248$

b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is

$\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173$

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

$\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982$

The probability of doing so for at least 2 of 5 days is

$\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1$

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

d. Integrate the PDF to obtain the CDF:

$F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

Then the desired probability is

$F_X(30)-F_X(15)\approx0.950-0.777=0.173$

7 0

4 years ago

Practice using experimental probability.

VLD [36.1K]

Hi there!

The answer would be B. The number 3 was rolled 5 times in 36 trials.

This shows that out of all 36 times the dice was rolled the number 3 faced upwards 5 times.

Hope this helps !

4 0

3 years ago

Read 2 more answers

The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).

NARA [144]

Answer:

If no time is spent on homework, the test grade is approximately 72.

Step-by-step explanation:

6 0

3 years ago

If these two shapes are similar, what is the measure of the missing length j?

nadya68 [22]

Answer:

Step-by-step explanation:

If two shapes are similar, this means the ratio of similar sides to each other are the same.

So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).

Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.

8 0

3 years ago