(need help asap)

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, poin

Mashutka [201]

Answer:

<h2>The radius is 4 units long.</h2>

Step-by-step explanation:

The given equation is

$(x-0.5)^{2} +(y-3.5)^{2} =16$

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

$r^{2} = 16\\r=\sqrt{16}\\ r=4$

Therefore, the radius is 4 units long.

3 0

3 years ago

Please help me! I need help ASAP! D:

madreJ [45]

Answer:

0:42

Step-by-step explanation:

5 0

3 years ago

The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of

goblinko [34]

Approximately 2 gallons will be needed if each gallon of stain and the project will cost be $73.96 if each gallon costs $36.98

<h3>How to find the area of a triangle</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is 150 square feet

Number of gallons needed = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons = 36.98 * 2

Cost of the two gallons = $73.96

Hence the project will cost be $73.96 if each gallon costs $36.98

Learn more on area of a triangle here: brainly.com/question/23945265

8 0

2 years ago

In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

<u><em>Let p = proportion of adults who totally abstain from alcohol.</em></u>

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, <u><em>test statistics</em></u> = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

<em>Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.</em><em> </em>

<em>Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

The circumference of the earth is 2.4x109 miles. if you traveled at an average of 8.5x10 miles per hour, how long would it take

pshichka [43]

Answer:

282 hr <======= see below

Step-by-step explanation:

Distance / rate = time

2.4 x 10^9 mi / 85 m/hr = 28235294 hr

You must have left the power of 10 off of your speed

probably should be 8.5 x 10^6 perhaps? then answer is 282

<h3>If speed was 8.5 x 10^5 then answer becomes ~ 2820 </h3>

8 0

2 years ago