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3 years ago

2/6 -

Mathematics

1 answer:

Vika [28.1K]3 years ago

6 0

Answer:

1.315

Step-by-step explanation:

10.5 - 9.185 = 1.315

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What is the simultanous equation of 2x+y=–5 3x+2y=–8 equation Using the Substitution method

Artyom0805 [142]

Answer: Equation $form:$ $x=-2,y=-1$

$Point$ $form:$ $(-2, -1)$

Step-by-step explanation:

$y=-\frac{3x}{2} -4$

$y=-2x-5$

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

$Solve$ $by$ $Substitution$ ---> $2x+y=-5 3x+2y=-8$

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2 years ago

Given f(x) = -4x+7 and g(x) =x^3 , choose the expression for (fog)(x)

SOVA2 [1]

Answer:

-4x^3 + 7

Step-by-step explanation:

(fog)(x) ➡ write whole value of g(x) instead of x in the f(x) function

-4 (x^3) +7 ➡ -4x^3 +7

5 0

3 years ago

Read 2 more answers

The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al

matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

$\mu =1000$ --- mean

$\sigma^2 = 1200$ --- variance

$tax = 10\%$

Required

The coefficient of variation

The coefficient of variation is calculated using:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

After the tax, the new mean is:

$\mu_{new} = \mu * (1 + tax)$

$\mu_{new} = 1000 * (1 + 10\%)$

$\mu_{new} = 1100$

And the new variance is:

$\sigma^2_{new} = \sigma^2 * (1 + tax)$

$\sigma^2_{new} = 1200 * (1 + 10\%)$

$\sigma^2_{new} = 1320$

So, we have:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

$CV = \frac{\sqrt{1320}}{1100}$

$CV = \frac{36.33}{1100}$

$CV = 0.033$

6 0

3 years ago

Which of the lines have a slope of 2?

ololo11 [35]

Answer:

Im 99% sure it is D but the graphs are hard to see

Step-by-step explanation:

7 0

3 years ago

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 51% chan

Charra [1.4K]

Answer:

a) 0.3270 = 32.70% probability that Christine fails the course

b) 0.3917 = 39.17% probability that she had found someone to help

Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

a. What is the probability that Christine fails the course?

21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

P = 0.21*0.61 + 0.51*0.39 = 0.327.

0.327 = 32.7% probability that Christine fails the course

b. Christine ends up failing the course. What is the probability that she had found someone to help?

This can be formulated by the Bayes formula:

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.61*0.21}{0.327} = 0.3917$

0.3917 = 39.17% probability that she had found someone to help

4 0

3 years ago