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NISA [10]
3 years ago
15

1)The square shown has a perimeter of 32 units. The square is rotated about line k. 

Mathematics
2 answers:
monitta3 years ago
7 0

Answer:

D. a cylinder with a circumference of about 50 units

Step-by-step explanation:

I just took the test on Edg, this is the actual answer. :) Good luck!

natali 33 [55]3 years ago
5 0
1. The perimeter of the square is 32 units, means each side is 32/4=8 units.

rotating the square about line k forms a cylinder with base radius equal to 8 units, and height equal to 8 units. (check the first picture)

the circumference of the base is C=2πR=16π units=16*3.14 units = 50.24 units.

Answer:  <span>a cylinder with a circumference of about 50 units

2. 
Rotating the equilateral triangle around line a, produces a cone with base radius equal to half of one side of the triangle, that is r=10mm.

(check picture 2)

The circumference is </span>C = 2πr=<span>C = 2*3.14*10=62.8 mm

Answer: </span><span>a cone with a base circumference of about 63 mm</span>

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Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.
alisha [4.7K]
<h2>Answer with explanation:</h2>

Let p be the population proportion.

Then, Null hypothesis : H_0 : p=0.79

Alternative hypothesis : H_a : p>0.79

Since the alternative hypothesis is right tailed , then the hypothesis test is a right tailed test.

Given :  A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.

i.e. n = 200 > 30 , so we use z-test (otherwise we use t-test.)

\hat{p}=\dfrac{162}{200}=0.81

Test statistic for population proportion :

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

=\dfrac{0.81-0.79}{\sqrt{\dfrac{0.81(1-0.81)}{200}}}=0.720984093915\approx0.72

Thus, the z-value of the sample test-statistic = 0.72

P-value for right tailed test =P(z>0.72)=1-P(\leq0.72)

=1-0.7642375=0.2357625\approx0.2358

Since the p-value is greater than the significance level (0.05) , so we fail to reject the null hypothesis.

Hence, we conclude that we do not have sufficient evidence to support the claim that the percentage has increased from that of previous studies.

8 0
3 years ago
Which graph is given by the equation y = −4x + 4?
Elodia [21]

Answer:

The correct answer is B buddy.

good luck♥️♥️♥️♥️♥️.

6 0
3 years ago
AB contains the points A(7, -11) and B(8,17). find the slope of a line perpendicular to AB
Molodets [167]
If a line were to be perpendicular from said points, the slope of it would be -1/28. Hope this helps!
6 0
3 years ago
Read 2 more answers
How many people own a SUV?<br> A. 4<br> B. 42<br> C. 420<br> D. 4,200
MaRussiya [10]
For this, no math is even needed! The question says 1,000 people were interviewed. 42% percent of that 1,000 owns an SUV. If it's a percent, it is 42/100, right? Now we have to make that 42/100 out of 1000. We add a zero to the 100 on the bottom (42/1000). We do the same thing on the top. Add a zero! 420. 

SECOND POSSIBLE SOLUTION
Solve this with logic! 42% is nearly 50%. Half of 1,000 is 500. What is closest to 500? 420! This solution is even easier.

Hope this helps you!
5 0
4 years ago
Use the given information to prove that RSU=TSV
RoseWind [281]

Answer:

Statement,                                                        Reason

Given segment RV = segment TU,                 Given  

m∠R = m∠T,                                                      Given

Segment RS ≅ segment ST,                            Base angles theorem

ΔRSV ≅ ΔTSU,                                                 SAS rule of congruency

Segment SV ≅ segment SU,                          CPCTC

VU ≅ UV,                                                          Reflexive property

RU = RV + VU, TV = TU + UV,                          Addition of segments

RV + VU ≅ TU + UV,                                         Addition property of equality

RU ≅ TV,                                                           Transitive property of addition

ΔRSU ≅ ΔTSV,                                                  SSS rule of congruency

Step-by-step explanation:

Where:

SAS- Side Angle Side

CPCTC -Congruent Parts of Congruent Triangles are Congruent

SSS -Side Side Side

3 0
3 years ago
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