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Ann [662]
3 years ago
6

Round 44.3 to the nearest whole number

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0
44, .3 work round the number up so its stays at 44
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Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number
hjlf

Answer:

Step-by-step explanation:

125+75w\ge 1200\\ \\ 75w\ge 1075\\ \\ w\ge 14.33\\ \\ \text{So she must save for at least 15 weeks.}

5 0
2 years ago
Solve the equation for<br> x 3/4(x+21) = 10.5 <br> x =
MrRa [10]
<h3>✍️ Answer:</h3><h3>x=-\frac{294}{13}</h3>

✽✽✽✽

\frac{x\cdot \:3}{4\left(x+21\right)}=10.5

\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)

\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)

3x=42\left(x+21\right)

3x=42x+882

\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}

3x-42x=42x+882-42x

-39x=882

\mathrm{Divide\:both\:sides\:by\:}-39

\frac{-39x}{-39}=\frac{882}{-39}

x=-\frac{294}{13}

❅❅❅❅❅❅❅❅❅❅

<h3>hope it helps...</h3><h3>have a great day!!</h3>
4 0
2 years ago
Which ordered pair is the solution to the system of linear equations y= -7x+2 and. y=9x - 14
12345 [234]

The answer is (1,-5), If you put those two on a graph, that point is where they collide.

6 0
3 years ago
This is pretty easy :0
maksim [4K]

Answer:

1, 1.5, -1 1/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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
2 years ago
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