The area of a rectangular patio is 558 square yards, and its length is 112 yards. What is the patio’s width, in yards?

What is the domain and range function?

VLD [36.1K]

Answer:

A.

Step-by-step explanation:

3 0

3 years ago

Help me please ahhhhh

Cerrena [4.2K]

<h3>Answers:</h3>

ST = 23
RU = 8
SV = 5
SU = 10

====================================================

Explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

Since the triangles are the same, just mirrored, this means ST = UT = 23.

-----------------------

Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

Therefore, RS = RU = 8

-----------------------

SV = VU = 5 because RT bisects SU.

Bisect means to cut in half. The two smaller pieces are equal.

-----------------------

SU = SV + VU = 5+5 = 10

Refer to the segment addition postulate.

3 0

2 years ago

Read 2 more answers

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

You draw five cards from a standard deck of 52 cards. P(heart) = 4 over 5. What type of probability is illustrated and why? A. t

KATRIN_1 [288]

Answer:

i will try to solve the probability

6 0

3 years ago

In △ABC point D is the midpoint of AB , point E is the midpoint of BC , and point F is the midpoint of BE . Find area of △ABC, i

xz_007 [3.2K]

I did this manually on some notepaper but my scanner is not working.

The answer is 72 cm^2

3 0

3 years ago