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3 years ago

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Mathematics

1 answer:

igor_vitrenko [27]3 years ago

4 0

Answer:63826.34

Step-by-step explanation:

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find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

$l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 14\pi = \frac{ \theta}{360 \degree} \times 2\pi \: \times 18 \\ \\ \therefore \:\theta = \frac{14\pi \times \: 360 \degree }{2\pi \: \times 18} \\ \\ \therefore \:\theta = \frac{7 \times \: 360 \degree }{18} \\ \\ \therefore \:\theta = 7 \times \: 20 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 140 \degree}}$

Thus, the measure of central angle is 140°.

7 0

3 years ago

Each student wrote a two-step equation. Peter wrote the equation 4x-2=10, and Andres wrote the equation 16x-8=40. The teacher lo

natima [27]

Both variables (x) are 3.

4×3=12
12-2=10

16×3=48
48-8=40

3 fits the variable of the missing number.

8 0

2 years ago

Just a bunch of easy ones

Scilla [17]

Answer:

1. 5lb bag is cheaper

2. 6 mpm (minutes per miles)

3. Brycen

4. 18 mpm faster

5. 32 total shapes

6. 75

7. not enough info

8. 50 miles

9. 2

10. 2

Step-by-step explanation:

3lb=$3.54=1lb=$1.18

5lb=$5.85=1lb=$0.85

12 minutes/2 miles=6 mpm

24 minutes/1 mile=24 mpm

24-6=18 mpm faster

25% of 100= 4

4×8=32

60% of 80= 75

process of elimination:

24.5 is less than 35 so no

50×.7=35, total miles is 50

5 0

3 years ago

Read 2 more answers

I’m not sure how to do this someone explain please

Stels [109]

Pictures listed in order... from A-C

6 0

3 years ago

State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed

Artyom0805 [142]

Answer:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

Step-by-step explanation:

For this question we need to take in count that the the claim that they want to test is "if the proportion is greater than 0.3". Our parameter of interest for this case is $p$ and the estimator for this parameter is given by this statistic $\hat p$ obtained from the info of sa sample obtained.

The sample proportion would be given by:

$\hat p = \frac{X}{n}$

Where X represent the success and n the sample size selected

The alternative hypothesis on this case would be specified by the claim and the complement would be the null hypothesis. Based on this the system of hypothesis for this case are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p>0.3$

And in order to check the hypothesis we can use the one sample z test for a proportion with the following statistic:

$z = \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}$

5 0

2 years ago