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Eduardwww [97]
3 years ago
10

8x=64 how do I solve this

Mathematics
2 answers:
Drupady [299]3 years ago
4 0
Divide both sides by 8
Shalnov [3]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

8x = 64. Divide each side by eight.

8x ÷ 8 = 1x (or just 'x' )

64 ÷ 8 = 8

x = 8

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A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
2 years ago
Complete the pattern 17,16___,___,7,2
Vsevolod [243]
7-2=5
17-16=1
You are trying to find the difference that equals 3 and is near those range of numbers.
The numbers are 11 and 14.
5 0
3 years ago
Is (0, 0) a solution to the equation y = x?
Mandarinka [93]

Answer:

yes

Step-by-step explanation:

if both y and x are 0 than it is true that they equal each other since 0=0

8 0
3 years ago
Find the coordinates of midpoint F.
Mice21 [21]

Answer:

The coordinates are (0,b)

Step-by-step explanation:

Here, we want to find the coordinates of the midpoint F

as we can see, F is between A and B

we proceed to use the midpoint formula

The midpoint formula is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

(x1,y1) = (-3a, b)

(x2,y2) = (3a, b)

The substitution of these values will thus yield;

(-3a + 3a)/2, (b + b)/2

= (0/2), (2b/2)

= (0, b)

4 0
2 years ago
Find the value of x, o is the centroid
Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.  

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write  

\frac{3x}{2x - 7} = \frac{2}{1}

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)

3 0
3 years ago
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