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2 years ago

Simplify the expression: 6a + 9b - c - 9a +2b + 3c

Mathematics

2 answers:

tatuchka [14]2 years ago

7 0

Answer:

-3a + 11b + 2c

Step-by-step explanation:

IgorLugansk [536]2 years ago

7 0

The answer is -3a + 11b + 2c

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Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

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

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

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, it be concluded that the population mean is less than 20.

5 0

3 years ago

a square prism container with a base of 5 cm by 5 cm partially filled with water. you drop a clump of metal with mass 525 g into

ruslelena [56]

Any selection choices?

4 0

3 years ago

What is 290 divided by 375.

avanturin [10]

Your answer would be 58/75 or in decimal <span>0.77333333333

Hope that helps!
~Take care!~ :-3</span>

4 0

3 years ago

My dog encountered a stray dog the other day and they both started scratching each other and then the dog left. It’s two days la

oee [108]

Answer:

The dog could have had rabies

Step-by-step explanation:

3 0

3 years ago

Evaluate the expression for the given value of the valuables 4(3h-6)/1+h;h= -2

Zepler [3.9K]

$\frac{4(3h-6)}{1+h}$ ; h = -2

Since h = -2, you can substitute/plug in -2 for "h" in the expression:

$\frac{4(3h-6)}{1+h}$

$\frac{4(3(-2)-6)}{1+(-2)}$

$\frac{4(-6-6)}{1-2}$

$\frac{4(-12)}{-1}$

$\frac{-48}{-1}$

3 0

3 years ago