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2 years ago

Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.

1 answer:

8 0

4200/70
take out a zero on both top and bottom

420/7
Simplify

= 60

Hope this helps!
Brainliest and a like is much appreciated

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In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

Anton [14]

Answer:

We do not reject the Null Hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size $n=23$

Population mean $\mu=9.02cm^3$

Sample mean $\=x=8.16$

Standard deviation $\sigma=0.7cm^3$

Significance level $\alpha =0.01$

Generally the Null and and alternative Hypothesis are as follows

$H_0:\mu=9.02cm^3$

$H_a:\mu$

Therefore t critical Value is

$t\ critical\ Value=(\alpha,df)$

$t\ critical\ Value=(0.01,22)$

Where

$df=n-1\\\\df=23-1=>22$

Therefore

From t Table

$t value=-2.8$

Generally the equation for Z Critical is mathematically given by

$t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }$

$t=\frac{8.16-9.02}{\frac{0.7}{\sqrt{23} } }$

$t=-5.89$

Therefore

Since the t test statistics is greater than the Critical value

Hence,we do not reject the Null Hypothesis

4 0

3 years ago

The axis of symmetry for a function in the form f(x) = x2 + 4x - 5 is x = -2. What are the coordinates of the vertex of the

umka2103 [35]

Answer:

(- 2, - 9 )

Step-by-step explanation:

The axis of symmetry passes through the vertex of the parabola.

Thus the x- coordinate of the vertex is x = - 2

To find y substitute x = - 2 into f(x)

f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9

Vertex = (- 2, - 9 )

8 0

3 years ago

Read 2 more answers

Describe the pattern

DerKrebs [107]

Answer:

Can't See the question

Step-by-step explanation:

7 0

3 years ago

Divide these numbers.<br><br> 18 ÷ 4

irakobra [83]

Answer:

4.5

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter

Lapatulllka [165]

Answer:

Relative minimum: $\left(-\frac{5}{2}, -\frac{33}{4}\right)$ , Relative maximum: $DNE$

Step-by-step explanation:

First, we obtain the First and Second Derivatives of the polynomic function:

First Derivative

$f'(x) = 2\cdot x + 5$ (1)

Second Derivative

$f''(x) = 2$ (2)

Now, we proceed with the First Derivative Test on (1):

$2\cdot x + 5 = 0$

$x = -\frac{5}{2}$

The critical point is $-\frac{5}{2}$ .

As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since $f\left(-\frac{5}{2}\right) > 0$ .

Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:

$f\left(-\frac{5}{2} \right) = \left(-\frac{5}{2} \right)^{2} + 5\cdot \left(-\frac{5}{2} \right) - 2$

$f\left(-\frac{5}{2} \right) = -\frac{33}{4}$

There are relative maxima.

6 0

3 years ago