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2 years ago

Which expression is equivalent to this expression?

Mathematics

1 answer:

Lyrx [107]2 years ago

5 0

Answer:

a-4b

Step-by-step explanation:

you combine like terms, (-6b)+2b=-4

4a-3a=1a or just a

then you get your awsner a-4

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What is the slope between the points (8, -2) and (-7, 10)

lara [203]

Slope formula:
(y2-y1)/(x2-x1)

Substitute in the points into the slope formula.

Slope= [10-(-2)] / [(-7)-8]
Slope= (10+2) / (-15)
Slope= 12/-15
Slope= -12/15
Simplify (3 goes into each)
Slope= -4/5

Hope this helps!! :)

8 0

2 years ago

Select all of the following that can be a counterexample for the statement below.

Pavlova-9 [17]

Answer:

-2, 3

Step-by-step explanation:

We are given the following inequality:

$x + 2 > 7$

Solving it, we have that its solution is:

$x > 7 - 2$

$x > 5$

So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.

5 0

2 years ago

Expanded form of the number is ten million more than 280,509,031

PIT_PIT [208]

280, 509,031 + 10,000,000 = 290, 509,031

200,000,000 + 90,000,000 + 500,000 + 9,000 + 30 +1 is your answer

hope this helps

7 0

2 years ago

Find the x- and y- intercepts of the line 3x-4y=12

masha68 [24]

Answer:

see explanation

Step-by-step explanation:

Given

3x - 4y = 12

To find the x- intercept let y = 0 in the equation and solve for x

3x - 4(0) = 12

3x = 12 ( divide both sides by 3 )

x = 4 ← x- intercept ⇒ (4, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

3(0) - 4y = 12

- 4y = 12 ( divide both sides by - 4 )

y = - 3 ← y- intercept ⇒ (0, - 3 )

6 0

2 years ago

In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

4 0

3 years ago