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3 years ago

The measure of angle 3 is 42°. What is the measure of angle 1 in degrees?

Mathematics

1 answer:

polet [3.4K]3 years ago

4 0

Answer:

<1 = 48

Step-by-step explanation:

<1 + <2 + <3 = 180 since they form a line

<1 + 90+ 42 =180

Combine like terms

<1 + 132 =180

Subtract 132 from each side

<1 +132-132 =180-132

<1 = 48

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3 square root 4 • square root 3

Anton [14]

Answer:

6 square root 3

Step-by-step explanation:

3 square root 4 .square root 3= 6 square root 3

8 0

3 years ago

Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat

NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success 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 $1 - \frac{\alpha}{2}$ .

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that $n = 65, \pi = 0.76$

99% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964$

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0

3 years ago

Please help me with this

Tatiana [17]

<h2><u>Given</u> :</h2>

The given equations are :

$\longrightarrow15b + 10g = 8640 \: \: \: \: \: - (1)$

$\longrightarrow b + g = 708 \: \: \: \: \: \: - (2)$

Let's solve for g in equation (2) :

$\longrightarrow b + g = 708$

$\longrightarrow g = 708 - b \: \: \: \: \: - (3)$

now, let's plug value of g from equation (3) into equation (1) :

$\longrightarrow15b + 10g = 8640$

$\longrightarrow15b + 10(708 - b) = 8640$

$\longrightarrow15b - 10b + 7080 = 8640$

$\longrightarrow5b = 1560$

$\longrightarrow b = 312$

plugging value of b in equation (3) :

$\longrightarrow g = 708 - b$

$\longrightarrow g = 708 - 312$

$\longrightarrow g =39 6$

since " g " represents ground seats, number of ground seats :

=》396

And " b " represents balcony seat, therefore it is equal to :

=》312

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

4 0

3 years ago

A sock drawer contains 18 blue socks and 10 black socks. If two socks are randomly drawn from the drawer without replacement, wh

harina [27]

I wanna say 1/14 but I'm really not sure

4 0

3 years ago

Read 2 more answers

Heights of male students in the eighth grade are normally distributed with a mean of 57.2 in. and standard deviation of 2.4 in.

romanna [79]

<span>In statistics finding percentiles relates to the standard deviation and something called a z-score. For normally distributed data the z-score represents how many standard deviations above or below the mean that group is a part of. The z-score for normally distributed data for the 90th percentile is 1.28. The standard deviation is then multiplied by the z-score to find, in this case, the shotlrtest height needed to be in the 90th percentile of this population. In this case to be in the 90th percentile your height must be 60.27 inches.</span>

3 0

3 years ago