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Aleks [24]
2 years ago
14

Evaluate the following expression. (2+6×2+2−4)×2

Mathematics
1 answer:
denis-greek [22]2 years ago
4 0

Answer:

24

Step-by-step explanation:

PEMDAS.

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A total of 8644 people went to the football game Of those people 5100sat on the home side and the rest sat on the visitors side
SSSSS [86.1K]
Calculate the number of people who sat on the visitors' side:

 8644
-5100
--------
 3544

Now divide 3544 people by 8 sections:

3544 people
----------------- = 443 per section.
  8 sections
3 0
3 years ago
Read 2 more answers
2d(3*6)=48y when y=1/4
vaieri [72.5K]

Answer: d = 1/3

Step-by-step explanation: 48y = 48/4 = 12. So, 2d(18) is equal to 12. 12/18 is 2/3 so 2d has to equal 2/3. That means d = 1/3.

8 0
2 years ago
A sample of 38 observations is selected from one population with a population standard deviation of 3.4. The sample mean is 100.
kaheart [24]

Answer:

a. two-tailed test

b. reject H0 if Z>1.96 or Z<-1.96

c. Z = 1.73

d. we have failed to reject the null hypothesis

e. P-value = 0.0418

Step-by-step explanation:

We will use a Z test to resolve this, an it will be a two-tailed test because the hypothesis statements are not indicating a specific direction for the significant difference (H0 : μ1 = μ2 ; H1 : μ1 ≠ μ2), this also means that the significanclevel will be divided between the both tails (2.5% en each tail for the rejection regions). See attached drawing for reference.

We need to find our critical value:

Zα/2 = Z(0.05/2) = 0.025

If we look for 0.025 in a Z table we will find that the critical value is 1.96 to the right, and by symmetry -1.96 to the left. So our decision rule will be to reject H0 if Z>1.96 or Z<-1.96

The Z test will be done using the next equation:

Z = (x⁻1 - x⁻2) - (μ1 - μ2) / √( σ²1/n1 + σ²2/n2

Because we are testing the null hypothesis we know that μ1 - μ2 must be zero if they are supposed to be equal (H0 : μ1 = μ2), so we calculate as follows:

Z = (100.5 - 98.8) - (0) / √( (3.4)²/38 + (5.8)²/51 = 1.7/0.9817 = 1.73

Z<1.96, therefore we have failed to reject the null hypothesis

The P-value for this test would be represented by the probability of Z being greater than 1.73, so we can look for it in any Z table, finding that its value is 0.0418, and because P-value>0.025 we again confirm that we don't have evidence statistically significant to reject the null hypothesis

4 0
3 years ago
Tia’s tent is in the form of a triangular prism as shown below if Tia plans to waterproof the tent excluding the pace what is th
Marat540 [252]

just multiple it all together

7 0
3 years ago
Rewrite the expression using GCF and distributive property. 64x-24
Ede4ka [16]

The greatest common factor between 64 and 24 is 8

Let's divide both terms in the expression by 8 and leave the expression in parenthesis...

Like this!

64x -24

\frac{64x}{8} - \frac{24}{8}

8x - 3

Leave 8 we divided outside the parenthesis

Now we have this!

8( 8x - 3)

This is the distributive property form!

4 0
2 years ago
Read 2 more answers
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