(1) Mr. Rawlins took a quiz with 12 problems and he got 10 of them right. What percentage of the quiz did he get correct? *

Classify each polygon by the number of sides. Tell whether it's convex or concave.<br>

EastWind [94]

Answer:

a. hexagon, convex

b. pentagon, concave

c. heptagon, convex

d. decagon, concave

Step-by-step explanation:

Count the sides. Refer to your memory or a list of polygon names for the appropriate name.

If any internal angle measures more than 180°, the polygon is concave. Otherwise, it is convex.

7 0

3 years ago

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

bixtya [17]

Answer:

For this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

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

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

Step-by-step explanation:

We have the following dataset given:

$X= 43$ represent the households consisted of one person

$n= 125$ represent the sample size

$\hat p= \frac{43}{125}= 0.344$ estimated proportion of households consisted of one person

We want to test the following hypothesis:

Null hypothesis: $p \leq 0.27$

Alternative hypothesis: $p>0.27$

And for this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

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

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

5 0

3 years ago

Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v = 1.225 to find

Margaret [11]

Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles

<h3>How to find altitude using visibility formula?</h3>

The visibility formula is given as follows:

v = 1.225√a

where

a = altitude
v = visibility

Therefore,

v = 67.1 miles

v = 1.225√a

67.1 = 1.225√a

divide both sides by 1.225

√a = 67.1 / 1.225

√a = 54.7755102041

square both sides

√a² = √54.7755102041

a = 7.40104789878

a = 7.4 miles

learn more on visibility here: brainly.com/question/16166215

6 0

2 years ago

Read 2 more answers

Which equation represents a linear function?

olchik [2.2K]

The answer is equation 2

8 0

3 years ago

Shawn had a balance of $39 in his checking account. Since then he made deposits of $260 and $428 and wrote checks for $62, $106,

lbvjy [14]

Answer:

238

Step-by-step explanation:

299+428-62-106-126-195

727-62-106-126-195

665-106-126-195

559-126-195

433-195

238

6 0

3 years ago