Find the volume of the cone.
Either enter an exact answer in terms of T or use 3.14 for and round your final answer to the nearest
hundredth.

Answer:

6 minutes

Step-by-step explanation:

Connor drives from the village to Belfast at an average speed of 40mph.

The distance covered is 20 miles.

Time = distance/ speed

Time = 20/40

Time = 0.5 hours

Time = 30 minutes.

Kelly drives from the village to Belfast at an average speed of 50mph.

Time = distance/speed

Time = 20/50

Time = 0.4 hours

Time = 24 minutes

It will take Conor 30 - 24 = 6 minutes longer than Kelly

Answer:

D

Step-by-step explanation:

JK = LM because they are equidistant from the centre and hence are equal in length

Answer:

question wrong

Step-by-step explanation:

2 same angles

[tex]\frac{13+5}{z} = \frac{z}{5} \\\\z^{2} = 5 * 18\\z^{2} = 90\\z = \sqrt{90} = 9,4[/tex]

Answer:

6.5%

Step-by-step explanation:

The formular used to calculate the cost of preferred stock is:

= Fixed dividend/Net proceeds

Fixed dividend= $50 × 8/100

= $50×0.08

=$4

Net proceeds= Market price-Flotation costs

= $65-(6/100×$65)

= $65-(0.06×$65)

= $65-3.9

= $61.1

Therefore cost of preferred stock is

= 4/61.1 ×100

= 0.065×100

= 6.5%

Hence the cost of preferred stock is 6.5%

Answer:

A. 150.72 cm2

Step-by-step explanation:

blue sector is 120 deg which is 1/3 of circle

so its area:

Answer:

There is no graph to find an inequality on...

Step-by-step explanation:

Answer:

8.4

Step-by-step explanation:

Answer:

146,736

Step-by-step explanation:

6114 divided by 24 is 146,736

Answer:

(r-s)/(r+s)

Step-by-step explanation:

Factor out the 5

Answer:

Length = 7

Width = 15

Step-by-step explanation:

L= x

W= x-8

2x+2(x-8)=44

Answer:

B and C

Step-by-step explanation:

AP = BP

OC = OD

At least 2,000

Step-by-step explanation:

I divided 8,822 by 3 and got 2940.66666....

If you basically round that, you get to 2,000

You could get 3,000 but they need to share their profit equally

(hopefully this helped :P)

Answer: it will take 9 hours.

Step-by-step explanation:

The rate at which the height of each snowman decreased is linear. This means that it was decreasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference

n represents the number of terms(hours)

Considering snowman A,

Tn = A(t)

n = t

a = 60 inches

d = - 5 inches(since it is decreasing)

Therefore,

A(t) = 60 + (t - 1)-5

A(t) = 60 - 5t + 5

A(t) = 65 - 5t

Considering snowman B,

Tn = B(t)

n = t

a = 44 inches

d = - 3 inches(since it is decreasing)

Therefore,

B(t) = 44 + (t - 1)-3

B(t) = 44 - 3t + 3

B(t) = 47 - 3t

For both snowmen to have an equal height, it means that

65 - 5t = 47 - 3t

- 5t + 3t = 47 - 65

- 2t = - 18

t = - 18/- 2

t = 9 hours

Answer:

q = 9

Step-by-step explanation:

Make a ratio equation:

36 : 54 = 6 : q

[tex]\frac{2}{3} =\frac{6}{q}[/tex]

2q = 18

q = 9

Answer:

q = 9

Step-by-step explanation:

These shapes are similar, so set up a proportion like so:

[tex]\frac{54}{36} =\frac{9}{q}[/tex]

→Cross multiply:

[tex]\frac{324}{36q}[/tex]

→Divide 324 by 36:

q = 9

Using only the trig ratios of 45 and 60 degrees, we use angle-sum to compute [tex]\tan 105^\circ=\tan(60^\circ+45^\circ)=\frac{\tan 60^\circ+\tan 45^\circ}{1-\tan 60^\circ\tan 45^\circ}=\frac{\sqrt{3}+1}{1-\sqrt{3}}=-2-\sqrt{3},[/tex] so [tex]\cot 105^\circ=\frac{1}{\tan 105^\circ}=-2+\sqrt{3}[/tex] and [tex]\tan 105^\circ-\cot105^\circ=\boxed{-2\sqrt{3}}.[/tex]

Answer:

[tex]y\in [-64,\infty)[/tex] .

Step-by-step explanation:

The given statement is "64 less than y is no less than −128". It means 64 less than y is greater than or equal to −128.

[tex]y-64\geq -128[/tex]

Add 64 both sides.

[tex]y-64+64\geq -128+64[/tex]

[tex]y\geq -64[/tex]

It means possible value of y is greater than or equal to -64.

[tex]y\in [-64,\infty)[/tex]

Therefore, the required interval is [tex][-64,\infty)[/tex].

Answer:

t = 3 seconds

Step-by-step explanation:

16t^2=144

Simplify by dividing both sides by 16:

t^2=9

t=3

Hope this helped!

Answer:

60 fluid ounces

Mark my as brainliest please

Answer:

The sum of the numbers in each circle is 17

Step-by-step explanation:

The numbers to choose from are:

2, 3, 5, 7

By this alone the biggest number must be in the overlap of the three circles.

Then just fill in the numbers in such a way that they all are used.

The sum of the numbers in each circle is 17.

See picture for a solution.

To find the unit price we need to all price divide by number of gallons, so

[tex]17.70\div5=3.54[/tex]

Answer: The unit price is $3.54

Answer:

Unit price = 3.54$

Step-by-step explanation:

By using criss-cross method:

5 gallons -> $17.70

1 gallon -> ?

Unit price = 1x17.70 / 5 = 3.54$

Hope this helps..

Answer:

[tex]t=\frac{60-40}{\frac{22}{\sqrt{400}}}=18.18[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=400-1=399[/tex]  

The p value for this case would be given by:

[tex]p_v =P(t_{(399)}>18.18) \approx 0[/tex]  

For this case since the p value is a very low value we can conclude that we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly higher than 40 minutes

Step-by-step explanation:

Information provided

[tex]\bar X=60[/tex] represent the sample mean

[tex]s=22[/tex] represent the sample standard deviation

[tex]n=400[/tex] sample size  

[tex]\mu_o =40[/tex] represent the value to verify

[tex]\alpha=0.1[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true mean for this case is higher than 40 minutes, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 40[/tex]  

Alternative hypothesis:[tex]\mu > 40[/tex]  

The statistic would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{60-40}{\frac{22}{\sqrt{400}}}=18.18[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=400-1=399[/tex]  

The p value for this case would be given by:

[tex]p_v =P(t_{(399)}>18.18) \approx 0[/tex]  

For this case since the p value is a very low value we can conclude that we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly higher than 40 minutes

Answer:

[tex]z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415[/tex]  

Now we can find the p value with the following probability:

[tex]p_v =P(z<-0.415)=0.3409[/tex]  

Step-by-step explanation:

Information given

n=97 represent the random sample taken

[tex]\hat p=0.05[/tex] estimated proportion of defective

[tex]p_o=0.06[/tex] is the value to verify

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to tests

We want to tet if the true proportion is less than 6%, the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.06[/tex]  

Alternative hypothesis:[tex]p < 0.06[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415[/tex]  

Now we can find the p value with the following probability:

[tex]p_v =P(z<-0.415)=0.3409[/tex]  

Answer:

-3-i

Step-by-step explanation:

imaginary roots always occur in pairs.

so second root=-3-i

Answer:

A) -3-i

Step-by-step explanation:

imaginary roots always occur in pairs.

Answer:

Step-by-step explanation:

Since x is a binomial random variable that counts the number of adults with at least a bachelor's degree, it means that there are only two outcome. It is either an adult has a bachelor's degree or not. The probability of success would be that the adult has a bachelor's degree. Therefore, probability of success, p = 20/100 = 0.2

Number of adults in the sample is 100

The number of success expected is x

We want to determine the probability of P(x ≥ 60)

Therefore, the most efficient way to calculate the probability that more than 60 adults have a bachelor's degree is

b. P(x<60)=binompdf(100.0.20.60)

This is because it is a discrete probability distribution function

Answer:

Step-by-step explanation:

"15 divided by 1/3" comes out to:

  15      15      3

------- = -----* ----- = 45

 1/3        1       1

Recall that to divide 15 by 1/3 we invert 1/3, obtaining 3, and then multiply 15 by 3.  The correct result is 45.

Multiplication equation B can be used to explain the solution to 15 divided by 1/3. Option 2 is correct.

Arithmetic is a branch of mathematics that studies numbers and the various operations that can be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.

The solution of the expression is;

[tex]x= \frac{15}{\frac{1}{3} } \\\\\ x= 15 \times 3\\\\ x=45[/tex]

The answer of the given equation resembles the option B. Multiplication equation B can be used to explain the solution to 15 divided by 1/3

Hence, option 2 is correct.

To learn more about the arithmetic operation, refer;

brainly.com/question/20595275

#SPJ2

Answer:

0.9862

Step-by-step explanation:

Given: According to 70% of HR directors, business students should take a course in business ethics.

To find: the probability that at least one of a sample of 12 HR directors does not think it very important for business students to take a business ethics course

Solution:

Probability refers to chances of occurrence of an event.

According to 70% of HR directors, business students should take a course in business ethics.

Therefore,

Probability that at least one of a sample of 12 HR directors does not think it very important for business students to take a business ethics

= 1 - Probability that everyone of a sample of 12 HR directors think that it very important for business students to take a business ethics

= [tex]1-\left ( \frac{70}{100} \right )^{12}[/tex]

[tex]=1-\left ( \frac{7}{10} \right )^{12}[/tex]

[tex]=1-(0.7)^{12}\\=1-0.0138\\=0.9862[/tex]

Answer: use the app: photomath

Step-by-step explanation:

Answer: Accommodation

Step-by-step explanation:

Accommodation is the adjustment of the optics of the eye to keep an object in focus on the retina as its distance from the eye varies.

Answer:

a) 10

b) 0.1 = 10%

Step-by-step explanation:

The combinations formula is used to solve this question, since the horses are chosen without replacement.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

a. Use this information to determine the number of possible samples (without replacement) of size 2 that can be obtained from the population of size 5.

Combinations of 2 objects from a set of 5. So

[tex]C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]

b. If a simple random sampling procedure is to be employed, the chances that any particular sample will be the one selected are:________

In this procedure, the samples are all equally as likely to be chosen.

So

1/10 = 0.1 = 10%