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3 years ago

Find m∠1.A) 103°B) 13°C) 77°D) 26°

Mathematics

2 answers:

liberstina [14]3 years ago

5 0

Answer:

B) 13°

Step-by-step explanation:

a right angle is 90°. Angle 2 is congruent to 77° so it is 77°. 90° minus 77° gives you the total of 13°. 13 + 77 = 90

lana [24]3 years ago

5 0

The measurement of angle 1 is B) 13°

Explanation: 2=77° because it shares a vertex angle 1 and 2 equal 90°. So 90°-77°=13°

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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

3 0

3 years ago

What percentage is $12.10 out of $58.60

jasenka [17]

Answer:

12.10 out of 58.60 is 20.648464163822524 or 21%

Step-by-step explanation:

work out the difference (increase) between the two numbers you are comparing

Increase = New Number - Original Number

Divide the increase by the original number and then multiply the answer by 100

% increase = Increase ÷ Original Number × 100.

5 0

3 years ago

Find the average distance each data value in the set is from the mean. Round your answer to the nearest tenth, if necessary. Pri

sineoko [7]

Answer:

The average distance of each observation from the mean is 0.

Step-by-step explanation:

We are given the following in the question:

$7, $20, $9, $35, $12, $15, $7, $10, $20, $25

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{160}{10} =16$

Difference from the mean value of each term:

-9, 4, -7, 19, -4, -1, -9, -6, 4, 9

Average distances =

$\text{Average distance} =\displaystyle\frac{0}{10} =0$

Thus, the average distance of each observation from the mean is 0.

3 0

3 years ago

Geometry-

Nana76 [90]

Answer:

6x-21

Step-by-step explanation:

1) draw diagram (in image)

BD=2x-21+4x

combine Like terms

6x-21

7 0

3 years ago

Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo

adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

$\mathbf{Used = 70\% \times x}$

Express percentage as decimal

$\mathbf{Used = 0.7 \times x}$

$\mathbf{Used = 0.7x}$

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

$\mathbf{New= (1 + 15\%) \times x}$

Express percentage as decimal

$\mathbf{New= (1 + 0.15) \times x}$

$\mathbf{New= 1.15 \times x}$

$\mathbf{New= 1.15x}$

The amount saved is the difference between the prices of the drones.

So, we have:

$\mathbf{Saved =New - Old}$

This gives

$\mathbf{Saved =1.15x- 0.7x}$

Subtract

$\mathbf{Saved =0.45x}$

Express as a function

$\mathbf{f(x) = 0.45x}$

Hence, the function for the amount saved is f(x) = 0.45x