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3 years ago

Simplify 4+(9×2)÷(4-2)+1

Mathematics

2 answers:

arlik [135]3 years ago

7 0

The answer is 14.

Using the steps of pemdas, solve what's inside the parentheses, from left to right.

4+(9×2)÷(4-2)+1

4+18÷2+1

Divide the 18 by 2.

4+9+1

Complete the addition from left to right.

13+1

kogti [31]3 years ago

3 0

First we have to work out everything inside the parentheses (according to PEMDAS):

9 × 2 = 18

4 - 2 = 2

Now, we can rewrite the expression:

4 + 18 ÷ 2 + 1

According to PEMDAS, we should complete the division in the middle first:

18 ÷ 2 = 9

Now we can rewrite the expression again:

4 + 9 + 1

And now it's as simple as just adding the three numbers together:

4 + 9 + 1 = 14

Your final answer is 14. :)

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A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the

Tems11 [23]

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

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2 years ago

A package of 12 pens cost 3.60. What is the cost per pen.

omeli [17]

3.6/12=0.3

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3 years ago

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The aquarium is 2 1/2 miles from her hotel. She walks 1/4 to the bus stop. Takes the bus for 1 3/4 miles and walks the rest of t

OleMash [197]

Answer:

2/4

Step-by-step explanation:

Change the 2 1/2 to 2 2/4

now subtract 1/4 from 2 2/4 leaving 2 1/4

Now subtract 1 3/4 from 2 1/4 in which you get 2/4

which is the answer :)

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2 years ago

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Sorry this a lot.

raketka [301]

Your
-4| 3 7 -20
-12 20
______________
3 -5 0
is a bit hard to read. Try this format:
__________
-4 / 3 7 -20
-12 20
-------------------
3 -5 0

Because the remainder is 0, we know that -4 is a root and (x+4) is a factor. Note the new coefficients in the last row: 3 -5. They are the coeff. of the quotient, namely, 3x-5. So (3x-5) is a factor of the original polynomial.

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3 years ago

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It is believed that the SAT scores for students entering two state universities may have different standard deviations. Specific

Eva8 [605]

Answer:

The critical value of F is 3.55.

Step-by-step explanation:

The claim to be test is, the SAT scores for students entering two state universities may have different standard deviations. It is believed that the standard deviation at University A is greater than the standard deviation at University B.

The hypothesis for the test can be defined as:

H₀: The standard deviations are same, i.e. σ₁ = σ₂

Hₐ: The standard deviations are different, i.e. σ₁ > σ₂.

A F-test will be used to perform the hypothesis test.

The F-statistic is given by:

$F=\frac{S_{1}^{2}}{S_{2}^{2}}\sim F_{\alpha/2, (n_{1}-1),(n_{2}-1)$

The information provided is:

University A University B

Sample mean 1104 1254

Sample Standard Deviation 134 108

Sample size 14 8

Compute the critical value of F using MS-Excel as follows:

The degrees of freedom are:

df₁ = n₁ - 1 = 14 - 1 = 13

df₂ = n₂ - 1 = 8 - 1 = 7

Step 1:

Open function → F.INV.RT

A dialog box will open.

Step 2:

Enter the details as shown in the image below. Press OK

Thus, the critical value of F is 3.55.

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3 years ago