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cindy has 34 meters of fencing.she plans to fence in a rectangular dog run that is 2 meters wide.[remember, the formula for the

mario62 [17]

15 meters long
34=2X + 2(2)
34= 2X + 4
30 = 2X
15 = X

4 0

4 years ago

Read 2 more answers

Which is bigger 0.02 or 0.3

AnnyKZ [126]

Answer:

Step-by-step explanation:0.3

3 0

4 years ago

Read 2 more answers

A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3

8_murik_8 [283]

Answer:

Step-by-step explanation:

Let x be the wait times before a call is answered in phone calls.

The claim is x bar <3.3 minutes

Sample size n =62

Sample mean - x bar = 3.24 minutes

Population std dev = $\sigma = 0.40 minutes\\$

Since population std dev is known and also sample size is sufficiently large, we can use Z test.

$H_0: x bar = 3.3\\H_a: x bar$

(one tailed test)

Mean difference = 3.24-3.3 = -0.06 min

Std error of sample = $\frac{\sigma}{\sqrt{n} } =\frac{0.40}{\sqrt{62} } \\=0.0508$

Z = tset statistic = $\frac{-006}{0.0508} \\\\=-1.18$

p value = 0.119

Since p value > alpha, we accept null hypothesis.

There is no evidence to support the claim at alpha = 0.08

3 0

3 years ago

Evaluate the following expression using the values given.find 2x2 − 2z4 y2 − x2 z4 if x = −4, y = 3, and z = 2.numerical answers

aleksley [76]

To answer the question above, substitute the values of the variables x, y and z given to the equation.
2x² - 2(z^4)y² - x²(z^4)

2(-4)² -2(2^2)(3²) - (-4)²(2^4) = -296

Thus, the numerical answer to the question above is -296.

7 0

4 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago