What’s the correct answer for this?

Answer:

56.52 mm²

Step-by-step explanation:

V= πr²h

V= 3.14*(6/2)²*2= 56.52 mm²

Answer:

Yes

Step-by-step explanation:

They both have only one base. They are different from prisms and cylinders.

Answer:

11 5/8

Step-by-step explanation:

Simply the 5/8 to 16th

5/8 equals to 10/16

Then add the 16ths together

The divide it by 16

Then add the whole numbers

Then add of them together to get your answer

Answer:

Exact Form:

93 /8

Decimal Form:

11.625

Mixed Number Form:

11  5 /8

Step-by-step explanation:

If you add every side together:

3 3/16 + 2 5/8 + 3 3/16 + 2 5/8 = 93/8

It's quite easy, just add everything together ;)

Answer:

a.) .95

b.) The expected number of baskets is 10.50.

c.) 1.7748

Step-by-step explanation:

a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.

b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.

c.) The standard deviation of a binomial distribution can be calculated by the formula [tex]\sqrt{(sample size)(probability)(1-probability)}[/tex]. Plugging in the numbers you get [tex]\sqrt{(15)(.7)(.3)}[/tex]=1.7748.

A. The probability of more than 7 throws is 0.95,

B.  The player expects to make it he takes 15 shots at 10.50,

C. The standard deviation of the number of successful free throws out of 15 total of 1.775.

The probability of exactly x successes on n repeated trials in an experiment with two possible outcomes, also known as a binomial experiment, is referred to as binomial probability.

The binomial probability is ⁿCₓpₓ(1 - p)ⁿ⁻ˣ if the probability of success on an individual trial is p.

In this case, the number of distinct combinations of x objects chosen from a set of n objects is shown by ⁿCₓ. A few course readings utilize the documentation (ⁿₓ) rather than ⁿCₓ.

Keep in mind that if p is the probability of a single trial's success, then (1p) is the probability of a single trial's failure.

Given the probability of free throws at 0.7

total free throws 15

Let x be the random variable

A.  the probability that he will make more than 7 throws

p(x > 7)

ⁿCₓpₓ(1 - p)ⁿ⁻ˣ

where n = 15, x = 8

¹⁵C₈(0.7)⁸(0.3)⁷

0.94998 = 0.95

B:  player expect to make it he takes 15 shots

E(x) = n x p(x)

E(x) = 15 × 0.7 = 10.50

C:  The standard deviation

variance = n x p x q

variance = 15 x 0.7 x 0.3 = 3.15

SD = √(variance) = √(3.15)

SD = 1.77482 ≈ 1.775

Hence the probability that he will make more than 7 throws is 0.95,

the player expects to make it if he takes 15 shots is 10.50,

The standard deviation is 1.775.

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Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

[tex]\frac{dy}{dt}\ \alpha\ y(1-y)[/tex]

[tex]\frac{dy}{dt}=ky(1-y)[/tex]

where k is the constant of proportionality, dy/dt =  rate at which the rumor spreads

b)

[tex]\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\[/tex]

[tex]y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}[/tex]

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

[tex]y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days[/tex]

Answer:

a.

Vladivostok is three hours ahead of Bangkok.

Step-by-step explanation:

Time the train left Bangkok is 1:50am

It traveled for 16 hours 40 minutes.

If the train was to be in Bangkok.

The Time Will be 1+16 hours then 50+40 minutes

Which is 17 hours + 1 hour 30 minutes

Which is 18 hours and 30 minutes

And 18 hours = 6:00 pm

So if it was in Bangkok the time with be 6:30 pm

But in Vladivostok, it was 9:30 pm

It's clear that Vladivostok time is faster by 3 hours

Answer:

D

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ answer \ b. \ \ +5 \ \ \ }[/tex]

Step-by-step explanation:

Hello

let's assume that we are looking for x >=0

[tex]4x^2=100 <=> \dfrac{4x^2}{4}=x^2=\dfrac{100}{4}=25\\<=>\sqrt{x^2}=25\\<=> |x| = 5 <=> x = 5 \ or \ x=-5[/tex]

Let's assume that we are looking for x>=0

so the correct answer is 5

Answer:

D = 67 inches

Step-by-step explanation:

The trend line is y = x+2  where x is the height

y = 65+2

y = 67

Answer: 67 inches tall

Step-by-step explanation:

y= x+2

y= 65+2

y= 67

Answer:

D.)

15040000 <= k <=19840000

Step-by-step explanation:

V = 1200 -0.00002k

Value V after one year falls in the range of $803.20 and $899.20.

Let's substract these values from 1200.

1200-803.20=396.80

1200-899.20=300.80

So it means that

0.00002k= 396.80

And

0.00002k= 300.80

So

0.00002k= 396.80

K= 396.80/0.00002

K= 19840000

And

0.00002k= 300.80

K = 300.80/0.00002

K= 15040000

So range is between

15040000 <= k <=19840000

Complete Question

1 Explain what is meant by the equation lim x → 8 f(x) = 9.

A If |x1 − 8| < |x2 − 8|, then |f(x1) − 9| < |f(x2) − 9|.

B The values of f(x) can be made as close to 8 as we like by taking x  sufficiently close to 9.

C  f(x) = 9 for all values of x.

D If |x1 − 8| < |x2 − 8|, then |f(x1) − 9|≤ |f(x2) − 9|.

E The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 8.

2  Is it possible for this statement to be true and yet f(8) = 6? Explain.

A Yes, the graph could have a hole at (8, 9) and be defined such that f(8) =6.

B Yes, the graph could have a vertical asymptote at x = 8 and be defined such that f(8) = 6.

C No, if f(8) = 6, then lim x→8 f(x) = 6.

D No, if lim x→8 f(x) = 9, then f(8) = 9.

Answer:

1

   The correct option is  D

2

    The correct option is   A

Step-by-step explanation:

Generally a a limit function  [tex]\lim_{n \to x } f(x) = L[/tex]

Tell us that as n tends toward x the values of  f(x) tends towards L hence for the first question E is the correct option

Now looking at the second question

  Yes it is possible for  lim x → 8 f(x) = 9.  to be true and  f(8) = 6 this is because the graph defined by this limit equation can have a hole the point

(8, 9) and created in such a way that f(8) = 6

Calculus's basic idea of limits in mathematics describes how a function behaves when its input approaches a specific value. No, if f(8) = 6, then lim x → 8 f(x) = 6. The correct option is C.

The statement "lim x → 8 f(x) = 9" means that as x approaches 8, the limit of f(x) is equal to 9. This implies that the function f(x) gets arbitrarily close to 9 as x gets arbitrarily close to 8.

If f(8) = 6, it means that the function f(x) has a specific value of 6 at x = 8. This contradicts the idea that f(x) gets arbitrarily close to 9 as x approaches 8.

Therefore, if f(8) = 6, it is not possible for the statement "lim x → 8 f(x) = 9" to be true.

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Answer:

(-x+4)^3

Step-by-step explanation:

when you turn the x to negtive it filps over the y-axis and if the whole thing is negitve like -(x+4)^3 it filps over the x-axis

jus took the test. Your answer is F(x)=-(x+4)^3

Answer:

a

Step-by-step explanation:

increase the significance level to increase the probability of type 1 error

You can use the definition of type I and type II error to find the correct option.

To avoid the more consequential error, the researchers should do:
Option D: Decrease the significance level to decrease the probability of Type I error.

Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.

The negative is just like the doctor's test getting negative means no disease. Similarly, if we conclude null hypothesis negative means it is accepted. If it is accepted wrongly means the negative test result was false, thus called false negative. This error is called type II error.

The probability of committing the type I error is called the significance level of the hypothesis test.

Since in the given context, by using the definitions of the type I error and the type II error, we have

More consequential error for educators : For the educators, the more consequential error would be that the program does not help children improve their reading skills but the test indicated that it does help.

Thus, the more consequential error for the educators is committing the type I error.

To prevent committing this error, they need to decrease type I error's probability which is denoted by level of significance, need to decrease the level of significance of the hypothesis test.

Thus,

Option D: Decrease the significance level to decrease the probability of Type I error.

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Answer: 3x^3 -8*x^2 + 8*x + 3

Step-by-step explanation:

The standard form for a plolynomial is:

a*x^n + b*x^(n-1) + c*x^(n - 2) ........

We have:

(x-1)(3x^2-5x-3)

this is equal to:

3*x^3 - 5*x^2 + 3*x - 3*x^2 +5*x + 3

where the thing that i did is distribute the multiplication

this is equal to:

3x^3 -8*x^2 + 8*x + 3

Answer:

Step-by-step explanation:

Volume has three parameters and is three dimensional, thus needing a unit in the third power

In difference,

Area is two-dimensional and has only 2 parameters, thus needing a unit only in the second power

Answer:

see below

Step-by-step explanation:

Area is found by multiplying two dimensions  together ( l*w)

Volume is found by multiplying three dimensions together ( l*w*n)

Answer:

P(X≥112) = 0.9495

The  percentage of the games that Easton bowls does  he score higher than 112 = 94.95%

Step-by-step explanation:

Given mean of the Population = 130

Given standard deviation of the Population = 11

Let X= 112

[tex]Z =\frac{x-mean}{S.D} =\frac{112-130}{11}=-1.636[/tex]

P(X≥112) = P(Z≥ z)

               = 1-P(Z≤z)

               = 1- ( P(Z≤-1.636)

             =  1- (0.5-A(-1.636)

            = 0.5 +A(1.636)

            = 0.5 + 0.4495

P(X≥112) = 0.9495

The  percentage of the games that Easton bowls does

he score higher than 112 = 94.95%

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 21.8

n = number of samples = 17

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 17 - 1 = 16

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.921

Margin of error = 2.921 × 21.8/√17

= 15.44

The confidence interval for the mean wake time for a population with drug treatments is

90.3 ± 15.44

The upper limit is 90.3 + 15.44 = 105.74 mins

The lower limit is 90.3 - 15.44 = 74.86 mins

The result suggests that the mean wake time might have really reduced since the values barely fall above 100 minutes as in before treatment with a high degree of confidence. Therefore, the drug is effective.

The best description of the number 0.5 is a rational number and a terminating decimal.

This is a number that is possible to express by using a fraction, or ration. 0.5 is a rational number because it is equivalent to the faction 1/2.

A decimal is terminating if it has limited or finite figures after the decimal period. This occurs with 0.5 because there is only one number after the period.

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Answer:

[tex]z=\frac{0.81 -0.78}{\sqrt{\frac{0.78(1-0.78)}{900}}}=2.173[/tex]  

The p value for this case is given by this probability:

[tex]p_v =P(z>2.173)=0.0149[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of people who favored te construction is significantly higher than 0.78 or 78%

Step-by-step explanation:

Information given

n=900 represent the random sample taken

[tex]\hat p=0.81[/tex] estimated proportion of residents who favored the construction

[tex]p_o=0.78[/tex] is the value to test

[tex]\alpha=0.02[/tex] represent the significance level

z would represent the statistic

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

Hypothesis to test

We want to test if the true proportion is more than 0.78 or not.:  

Null hypothesis:[tex]p\leq 0.78[/tex]  

Alternative hypothesis:[tex]p > 0.78[/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 we got:

[tex]z=\frac{0.81 -0.78}{\sqrt{\frac{0.78(1-0.78)}{900}}}=2.173[/tex]  

The p value for this case is given by this probability:

[tex]p_v =P(z>2.173)=0.0149[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of people who favored te construction is significantly higher than 0.78 or 78%

Answer:

2528

Step-by-step explanation:

-1250+1130=-120

1136+1272=2408

2408-(-120)=2528

hope it helps