What’s the correct answer for this?

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

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:

Length OX = 7.09 units

Step-by-step explanation:

The diagram of the full question is attached to this solution.

Let the length of OX be x

Then length of OD = (13 - x)

From the image of the figure, it is given that

Angle BOL = Angle LOP

Let that angle be equal to θ

Angle BOL = Angle LOP = θ

But since lines BX, OL and PD are evidently parallel to one another, we can say that

Angle OPD = Angle LOP = θ (alternate angles are equal)

Also, Angle OBX = Angle BOL = θ (alternate angles are equal)

And from trigonometric relations,

Sin θ = (x/12)

And

Sin θ = (13 - x)/10

Since sin θ = sin θ

We can then equate

(x/12) = (13 - x)/10

cross multiplying

10x = 12 (13 - x)

10x = 156 - 12x

10x + 12x = 156

22x = 156

x = (156/22) = 7.091 = 7.09 to the nearest hundredth.

Hence, length OX = 7.09 units

Hope this Helps!!!

Answer: 7.09

Step-by-step explanation:

i got this answer from AyBaba7 and khan. thank you AyBaba7!!!!! :)

Answer:

The correct null hypothesis in words is:

D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.

[tex]H_0: \pi = 0.5[/tex]

Step-by-step explanation:

He wants to test the claim that the proportion of private schools that have avenues for professors to apply for tenure is significantly higher than 0.5, as happen with the public schools.

Then, the alternative hypothesis is:

[tex]H_a: \pi >0.5[/tex]  

The null hypothesis represents the opposite claim, where the proportion is not significantly higher than 0.5. Then, the null hypothesis is expressed as:

[tex]H_0: \pi = 0.5[/tex]

The correct null hypothesis in words is:

D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.

Answer:

56.52 mm²

Step-by-step explanation:

V= πr²h

V= 3.14*(6/2)²*2= 56.52 mm²

Answer:

D

Step-by-step explanation:

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 best actor's age is farther from the mean, so he has the more extreme age when winning the​ award

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whichever z-score's has the highest absolute value, that is, is farther from the mean, has the most extreme age.

Best actor:

Age of 35, so [tex]X = 35[/tex].

For all best​ actors, the mean age is 48.7 years and the standard deviation is 8.9 years, so [tex]\mu = 48.7, \sigma = 8.9[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 48.7}{8.9}[/tex]

[tex]Z = -1.54[/tex]

Best actrees:

Age of 48, so [tex]X = 48[/tex]

For all best​ actresses, the mean age is 34.7 years and the standard deviation is 11.7 years, so [tex]\mu = 34.7, \sigma = 11.7[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 34.7}{11.7}[/tex]

[tex]Z = 1.14[/tex]

The best actor's age is farther from the mean, so he has the more extreme age when winning the​ award

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)

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:

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:

the g's contributing term for the overall uncertainty of P is  [tex]dP_g = [\frac{dg}{g}][/tex]

Step-by-step explanation:

From the question we are told that

   The pressure is   [tex]P = P_o + \rho gh[/tex]

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

    [tex]ln P = lnP_o + ln(\rho gh )[/tex]

=>   [tex]ln P = lnP_o + ln \rho + ln g + ln h[/tex]

Then the next step is to differentiate both sides of the equation

    [tex]\frac{d(ln P)}{dP} = \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}[/tex]

=>    [tex]\frac{dP}{P} = \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}[/tex]

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

     [tex]dP_g = [\frac{dg}{g}] P[/tex]

Answer:

E(s) = 0.15s + 120

Step-by-step explanation:

She earns 15% of her weekly sales plus her $120 salary base.

Answer: Its the second option

Step-by-step explanation: I Promise its correct!

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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The line (-2, -4, 0)t points in the same direction as the given vector (-2, -4, 0) and passes through the origin. To make this line pass through the point (0, 0, -2), all we need to do is translate the line by the vector (0, 0, -2). So the line has vector equation

u(t) = (-2, -4, 0)t + (0, 0, -2) = (-2t, -4t, -2)

and we see that t = 0 indeed corresponds to the given point.

In parametric form, the line is given by

x(t) = -2t

y(t) = -4t

z(t) = -2

for any real number t.

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:

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:

Step-by-step explanation:

your question is

[tex]-3*1 + 10x = x+4[/tex]

-3+10x=x+4

9x=7

x = 7/9

Answer:

x=7/9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(−3)(1)+10x=x+4

−3+10x=x+4

10x−3=x+4

Step 2: Subtract x from both sides.

10x−3−x=x+4−x

9x−3=4

Step 3: Add 3 to both sides.

9x−3+3=4+3

9x=7

Step 4: Divide both sides by 9.

9x

9

= 7 /9

x= 7 /9

Answer:

x = 9

x = 0

There are two answers to this questions that are above . Below is the steps.

Steps:

Step 1: Factor left side of equation.

x(x−9)=0

Step 2: Set factors equal to 0.

x=0 or x−9=0

x=0 or x=9

Answer:

x = 9

x = 0

Hope this helps.

Answer:

x=0    x= 9

Step-by-step explanation:

X^2-9x=0

Factor out an x

x(x-9) = 0

Using the zero product property

x =0   x-9=0

x=0    x= 9

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 ;)