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2 years ago

5

F(x)=2x-5 if x is 0 Please help hurry

1 answer:

poizon [28]2 years ago

5 0

Answer: -5

Step-by-step explanation:

2(0)-5

0-5 = -5

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According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY

Yakvenalex [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.11$

The sample size is n = 1640

The number found to be living with at least one grandparent is $k = 225$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p = 0.11$

The alternative hypothesis is $H_a : p > 0.11$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{ k }{n}$

=> $\^ p = \frac{ 225 }{1640 }$

=> $\^ p = 0.1372$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }$

=> $z = 0.0077$

From the z table the area under the normal curve to the left corresponding to 0.0077 is

$p-value = P(Z > 0.0077) = 0.4969$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

3 0

3 years ago

6) A boat traveled 80 miles downstream and back. The trip downstream took 5 hours. The trip back took

Svetradugi [14.3K]

Answer:

12 mph and 4 mph

Step-by-step explanation:

Let the speed of the boat = b and the speed of the current = c

<u>Equations to reflect time, time = distance/speed:</u>

Downstream

80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16

Upstream

80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8

<u>Sum of the 2 equations above</u>

b + c + b - c = 16 + 8
2b = 24
b = 12
c = 16 - 12 = 4

So the speed of the boat is 12 mph

The speed of the current is 4 mph

4 0

3 years ago

The city is planning to add a fish pond to a neighborhood park. The figure below is a drawing of the fish pond. Its scale is 1/2

faust18 [17]

Answer:

Part a) The area of the actual fish pond is $2,956.50\ ft^{2}$

Part b) The length of the fence will be $244.20\ ft$

Step-by-step explanation:

we know that

The scale drawing is

$\frac{(1/2)}{15}\frac{in}{ft}=\frac{1}{30}\frac{in}{ft}$

step 1

Find the actual dimensions of the fish pond

To find the actual dimensions divide the measure of the drawing by the scale drawing

$0.5\ in=0.5/(1/30)=15\ ft$

$1\ in=1/(1/30)=30\ ft$

$2.5\ in=2.5/(1/30)=75\ ft$

step 2

Find the area of the actual fish pond

The area of the fish pond is equal to the area of a circle p[lus the area of rectangle

$A=\pi r^{2} +bh$

we have

$r=15\ ft$

$b=75\ ft$

$h=30\ ft$

substitute

$A=(3.14)(15)^{2} +(75)(30)=2,956.50\ ft^{2}$

step 3

Find the length of the fence around the entire fish pond

The perimeter of the fish pond is equal to the circumference of a complete circle plus the length of 75 ft two times

so

$P=2\pir+2(75)$

we have

$r=15\ ft$

substitute

$P=2(3.14)(15)+2(75)=244.20\ ft$

3 0

3 years ago

Which of the following is a right triangle?

Alik [6]

Answer:

B

Step-by-step explanation:

A right triangle must have one of its 3 angles equal to 90°

the only triangle with an angle of 90° is Triangle C

7 0

2 years ago

Read 2 more answers

Solve the inequality 1/2b+2≤8

Anna35 [415]

1/2b+2≤8

1/2b≤6

b≤12

Any number less than or equal to 12 can solve the equation.

3 0

2 years ago

Read 2 more answers