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notsponge [240]
2 years ago
14

If mAD=85 degrees and mBC=31 degrees find the value

Mathematics
1 answer:
Eddi Din [679]2 years ago
7 0
Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation:  122 = 13x - 21

Solve this, to find the x = 11.
You might be interested in
The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair
Rina8888 [55]

Answer:

There will be 233 pairs of rabbits would be produced after thirteen months.

Step-by-step explanation:

Consider the provided information.

In the Fibonacci sequence we can find the next term by adding the two numbers before it.

Let us consider that we have 1 pair of newborn rabbits in first month.

Then in the second month they will fully grow.

On the next month 1 more pair of baby rabbits were born.

Next month the baby rabbits were grown and the first pair had two more baby rabbits.

Thus the sequence will look like:

Sequence: 1, 1, 2, 3

It is given that the it follows the Fibonacci sequence. Now use the above rule to generate the Fibonacci sequence.

The required Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233...

We need to find the number of pairs of rabbits would be produced after thirteen months.

Now from the above sequence we can find the number of rabbits produced after thirteen months.

Hence, there will be 233 pairs of rabbits would be produced after thirteen months.

4 0
2 years ago
Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a green
torisob [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> \alpha  = 0.05 There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>  

Step-by-step explanation:

From the question we are told that the claim is

     The mean growth rates of all four species are equal.

The  null hypothesis is  

             H_o  :  \mu _1 =  \mu_2 = \mu_3  =  \mu_4

Th alternative hypothesis is    

             H_a: at \ least \ one \ of \  the \  means \ is \not\ equal

From question the p-value is p-value  =  0.015

  And since the p-value <  \alpha so the null hypothesis will be rejected

So  

   The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> \alpha  = 0.05 There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u>  is <u>different from</u>  <u>at least of the population</u>  

7 0
2 years ago
the table shows the cost of renting an inner tube to use at the wave-a-rama water park. explain how to write an equation to repr
Natalija [7]
The equation would be: C = 5.5T, where C is the Cost and T is the number of tubes.

If you divide all of the outputs by the inputs, you will get 5.5. That means it's a proportional relationship. Just multiply the number of tubes by 5.5 and you will have your cost.
4 0
2 years ago
In a survey, 376 out of 1,078 US adults said they drink at least 4 cups of coffee a day. Find a point estimate (P) for the popul
lesya692 [45]

Answer:

The point estimate is 0.3488.

The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).

Step-by-step explanation:

In a sample with a number n of people surveyed with a point estimate of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1078, \pi = \frac{376}{1078} = 0.3488

The point estimate is 0.3488.

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3488 - 2.575\sqrt{\frac{0.3488*0.6512}{1078}} = 0.3114

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3488 + 2.575\sqrt{\frac{0.3488*0.6512}{1078}} = 0.3862

The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).

6 0
2 years ago
According to (1.17), lei = 0 when regression model (1.1) is fitted to a set of n cases by the method of least squares. is it als
pychu [463]

solution:

\sum ei =0

that is  

\sum (yi-yiˆ)=0

means,

\sumyi = \sum yiˆ

yi = \alpha +\beta xi+ei

yiˆ=\alphaˆ+\betaˆxi

so,

\sumei=0

hence proved

4 0
2 years ago
Read 2 more answers
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