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AlekseyPX
3 years ago
9

Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. Hi

s friends bought 2.3 pounds and 1.8 pounds. About how many pounds of candy did they buy altogether?
rounding
Mathematics
2 answers:
sergiy2304 [10]3 years ago
3 0

Answer:

5.3 pounds

Step-by-step explanation:

1.2 plus 1.8 is 3 pounds

then you add 3 pounds plus 2.3 lbs and you get

5.3 pounds

Keith_Richards [23]3 years ago
3 0

Answer:

5.3

Step-by-step explanation:

If you add how much Mitchell bought (1.2) and how much his friends bought (2.3), (1.8) therefore the answer is 5.0 or rounded is just 5

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The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i
kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

so

2x+4x=180

solve for x

6x=180

x=30

step 2

Find the measure of an exterior angle

2x

substitute the value of x

2x=2(30)=60\°

step 3

Find the measure of an interior angle

4x

substitute the value of x

4x=4(30)=120\°

In this problem the regular polygon is a hexagon

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3 years ago
The tables show some input and output values:
Radda [10]
A because one input can have only one output
3 0
4 years ago
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What are the common factors of 50 30 and 100
Wittaler [7]
10 is a common factor of 50 30 and 100. So is 2
6 0
3 years ago
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Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of
tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A                          Sample B

x_A = 30                              x_B = 50

n_A = 100                             n_B =250

Solving (a): Standard error using formula

First, calculate the proportion of A

p_A = \frac{x_A}{n_A}

p_A = \frac{30}{100}

p_A = 0.30

The proportion of B

p_B = \frac{x_B}{n_B}

p_B = \frac{50}{250}

p_B = 0.20

The standard error is:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}

SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}

SE_{p_A-p_B} = \sqrt{0.00274}

SE_{p_A-p_B} = 0.052

Solving (a): Standard error using bootstrapping.

Following the below steps.

  • Open Statkey
  • Under Randomization Hypothesis Tests, select Test for Difference in Proportions
  • Click on Edit data, enter the appropriate data
  • Click on ok to generate samples
  • Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A                          Sample B

x_A = 23                              x_B = 57

n_A = 100                             n_B =250

p_A = 0.230                          p_A = 0.228

So, we have:

SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}

SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}

SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}

SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}

SE_{p_A-p_B} = \sqrt{0.002475064}

SE_{p_A-p_B} = 0.050

5 0
3 years ago
It takes Emmanuel 20 minutes to walk to school. It takes Liah 80% as long to walk to school. How long does it take Liaqh to walk
77julia77 [94]

Answer:

16 minutes

Step-by-step explanation:

80% of 20 is

80/100 * 20 = 16

6 0
3 years ago
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