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Rashid [163]
3 years ago
15

A square field has an area 121 square meters.What is the perimeter of the field?

Mathematics
2 answers:
belka [17]3 years ago
5 0
Are is equal to the length times width so what times what would give you 121 and that's how you get the answer to that problem or any area perimeter problem
irinina [24]3 years ago
3 0
Keep in mind:  area of a square = (side length)^2
                        perimeter of a square = 4(side length)

Use the first formula to determine the side length (find the sq. rt. of 121 m^2).
Then use the second formula to find the perimeter (in meters).
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Please help me on #18, don't know how to do the question.
svetlana [45]

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

<u>Step-by-step explanation:</u>

  • It is given that, the birthday cake is in the shape of the cylinder.
  • Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

<u>The volume of the cylinder is given by,</u>

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

8 0
3 years ago
Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe
omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

  • If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.
  • If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, H_1 : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

             P-value = P(Z < -1.68) = 1 - P(Z \leq 1.68)

                           = 1 - 0.95352 = <u>0.0465</u>

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

             P-value = P(Z > 0.41) = 1 - P(Z \leq 0.41)

                           = 1 - 0.6591 = <u>0.3409</u>

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

5 0
2 years ago
Solve 6 and 7 please?
Charra [1.4K]

Hey!

---------------------------------------------------------------------

We know that (a = -3), (b = 2), (c = 5), and (d = -4)

---------------------------------------------------------------------

Question 6:

= 5ac - 2b

= 5(-3)(5) - 2(2)

= 5(-15) - 4

= -75 - 4

<u>= -79</u>

---------------------------------------------------------------------

Question 7:

= ab/d

= (-3)(2)/-4

= -6/-4

<u>= 1 1/2</u>

---------------------------------------------------------------------

Hope this helped, good luck!

6 0
3 years ago
Can u explain how u got the answer
Tems11 [23]

Answer:

10 degrees Celsius

Step-by-step explanation:

So, the question is asking for the difference between -8 and 2.

-----------------------------------------------------------------------------------------------------------------

Explanation 1:

2 - (-8) = ?

2 + 8 = ?

10 = ?

-----------------------------------------------------------------------------------------------------------------

Explanation 2:

|2| - 0 = 2

|-8| - 0 = 8

2 + 8 = 10

6 0
3 years ago
On a road map with a scale of 1 cm. : 110 mi., the distance between two cities measures 4.5 cm. What is the actual distance betw
Scorpion4ik [409]

Answer:

465 miles

Step-by-step explanation:

So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get

4.5 cm: 465 mi

8 0
3 years ago
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