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3 years ago

A student is given the rectangle and the square shown. The student states that the two figures have the

Mathematics

1 answer:

VladimirAG [237]3 years ago

5 0

Answer:

correct

Step-by-step explanation:

The perimeter is the sum of the sides.

Rectangle ( opposite sides are congruent ), thus

perimeter = 2x + 2(x + 18) = 2x + 2x + 36 = 4x + 36

Square ( sides are congruent ), thus

perimeter = 4(x + 9) = 4x + 36

The perimeters are the same, so the student is correct

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During a recent drought, a water utility in a certain town sampled 100 residential water bills and found out that 73 of the resi

ankoles [38]

Answer:

(0.6430, 0.8170)

Step-by-step explanation:

Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.

Sample size n = 100

Sample proportion p = $\frac{73}{100} =0.73$

q = 1-p = 0.23

Std error of proportion = $\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.73*0.27}{100} } \\=0.04440$

95% Z critical value = 1.96

Margin of error = $1.96*0.0444 = 0.0870$

Confidence interval = sample proportion ±margin of error

0.642983946

0.817016054

(0.6430, 0.8170)

4 0

3 years ago

If an item cost 4.56 how much change will you receive from 10.00 bill

Vika [28.1K]

To find the answer, you will just subtract 4.56 from 10.
$10.00 - 4.56 = 5.44$

5 0

4 years ago

Express the indicated degree of likelihood as a probability value.Your mother did not die two years before you were born.

Sergeeva-Olga [200]

Answer: 1

Step-by-step explanation:

In reality , the child will not born, if mother die before his conception and keeping in mind that the pregnancy takes about 9 months after conception.

Now according to the statement "Your mother could not have died two years before you were born." is always true and therefore the probability equals 1 .

6 0

4 years ago

Two secant segments intersect outside a circle as shown. What is the value of x?

torisob [31]

Using the intersecting secants theorem, QS*QR=QP*QM
3*13=2*(x+2)
39=2x+4
2x=35
x=17.5

8 0

3 years ago

Solve for n<br><br><br>-1(2n+4)= -14

DedPeter [7]

Yo sup??

-1(2n+4)=-14

-2n-4=-14

-2n=-10

n=5

Hope this helps.

3 0

3 years ago

Read 2 more answers