What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of

The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented b

anastassius [24]

Answer:

<h3>A. 50 yards.</h3>

Step-by-step explanation:

Given the coordinates of the length of PH as P(2,55) and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.

D = √(x₂-x₁)²+(y₂-y₁)²

PH = √(32-2)²+(15-55)²

PH = √(30)²+(-40)²

PH = √900+1600

PH = √2,500

PH = 50

Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.

7 0

3 years ago

What is 65,759.59 rounded to the nearest tenth

coldgirl [10]

65,759.60

Hope this helps

6 0

3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago

How do we identify the slope and the y-intercept for each of the function representations?

Gelneren [198K]

Answer:

Step-by-step explanation:

for y intercept

we calculate f(0) and the value is y intercept

for the slope we have 2 points (x1,y1) and (x2,y2)

the slope is (y2-y1)/(x2-x1)

3 0

3 years ago

2 tangents are drawn from a point a which is 37 cm from the center of the circle. The diameter of the circle is 24 cm. What is t

kipiarov [429]

Answer: 35 cm

Step-by-step explanation:

Given : Diameter of a circle= 24 cm

Let r be the radius of the circle.

then $r=\frac{d}{2}=12\ cm$

Since a tangent is always at right angles to the radius where it touches the circle.

Join the point A to the center of the circle such that it will become a right triangle with 37 cm as the longest sides [since it is the side opposite to the right angle.]

Let x denote the length of the tangents.

By Pythagoras theorem, we have

$r^2+x^2=(37)^2\\\Rightarrow\ (12)^2+x^2=1369\\\Rightarrow\ x^2=1369-144\\\Rightarrow\ x^2=1225\\\Rightarrow\ x=35$

Hence, the length of each tangent from point a to the point of the tangency=35 cm

4 0

3 years ago