What is the range of the function f(x)= 1/2sin(2x-pi)

Answer:69

Step-by-step explanation:

Because i am smart.

Answer:

a) 60% probability that student took at least one online course

b) 40% probability that student did not take an online course

c) 12.96% probability that all 4 students selected took online courses.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they took at least one online course last fall, or they did not. The probability of a student taking an online course is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

3 out of 5 students enrolled in higher education took at least one online course last fall.

This means that [tex]p = \frac{3}{5} = 0.6[/tex]

a) If you were to pick at random 1 student enrolled in higher education, what is the probability that student took at least one online course?

This is P(X = 1) when n = 1. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{1,1}.(0.6)^{1}.(0.4)^{0} = 0.6[/tex]

60% probability that student took at least one online course.

b) If you were to pick at random 1 student enrolled in higher education, what is the probability that student did not take an online course?

This is P(X = 0) when n = 1.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{1,1}.(0.6)^{0}.(0.4)^{1} = 0.4[/tex]

40% probability that student did not take an online course

c) Now, consider the scenario that you are going to select random select 4 students enrolled in higher education. Find the probability that all 4 students selected took online courses

This is P(X = 4) when n = 4.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.6)^{4}.(0.4)^{0} = 0.1296[/tex]

12.96% probability that all 4 students selected took online courses.

Answer:

Since there was a dilation, the two triangles will be similar. The scale factor is less than one and is a reduction, therefore, the image will be smaller than the pre-image.

Answer:

4

4

Step-by-step explanation:

x litres of 15% solution + y litres of 19% solution= 8 gallons of 17% solution

disinfectant content of the final solution= 8*0.17= 1.36 gallons

0.15x+0.19y=1.36

x+y= 8 ⇒ x=8-y

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

I can confirm d

Step-by-step explanation:

Hen evaluated (Negative 2) squared as

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

Hen evaluated the expression below. 2 (12 minus 14) squared minus (negative 5)+12=2 (negative 2) squared minus (negative 5) + 12 =2(negative 4) minus (negative 5) +12= negative 8+ 5+12=9. What was hen's error? He did not multiply 2 and 12 first. Hen evaluated Minus (negative 5) as 5. He was added and subtracted before multiplying. Hen evaluated (Negative 2) squared as

Learn more about the expression:

https://brainly.com/question/1280754

#SPJ2

Answer:

1. 69.15% probability that the project will be completed on day 32 or earlier

2. 15.87% probability that the project will be delayed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [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, we have that:

[tex]\mu = 30, \sigma = \sqrt{16} = 4[/tex]

1. What is the probability that the project will be completed on day 32 or earlier?

This is the pvalue of Z when X = 32. So

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

[tex]Z = \frac{32 - 30}{4}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

69.15% probability that the project will be completed on day 32 or earlier

2. Suppose the official deadline for the project is 34 days. What is the probability that the project will be delayed?

This is 1 subtracted by the pvalue of Z when X = 34. So

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

[tex]Z = \frac{34 - 30}{4}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

1 - 0.8413 = 0.1587

15.87% probability that the project will be delayed

Answer: 70°

Step-by-step explanation:

You can tell by the protractor that you should read from the right side because that is where the protractor starts at 0°. Lookin at the angle, the line JH is to 70°. Therefore, the measure of ∠JHG is at 70°.

Answer:

Population

Step-by-step explanation:

In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.

The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.

Answer:

1/8

Step-by-step explanation:

since it is divided to 8 equal parts then the first tick is 1/8

Answer:

The interest rate = 1.68%

Step-by-step explanation:

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So 20% of the interest =£ 30.24

Let the interest be x

X0.2= 30.24

X=£ 151.2

The total interest was£ 151.2

The rate R at which generated this interest

R = (100*151.2)/(1*9000)

R= 15120/9000

R= 1.68%

The interest rate = 1.68%

Answer:

C.

Step-by-step explanation:

60° in Radians = 1.047

Using Formula

s=rθ

s= 7(1.047)

s ≈ 7.36

Answer:

it is

Step-by-step explanation:

Answer:

x=-3 y=6

Step-by-step explanation:

it was a easyone ,don't forget to mark me as a brainlinest .☺️

Answer:

the equation of the circle is

[tex](x-2)^2+(y+4)^2 = 34[/tex]

Step-by-step explanation:

Recall that the equation of a circle is given by [tex](x-h)^2+(y-k)^2 = r^2[/tex] where r is the radius, and (h,k) is the center. Recall that given two points that are the endpoints of a diameter, the center of the circle is their correspondent midpoint. Also, recall that given points (a,b), (c,d) their midpoint is obtained by [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

In this case we are given the endpoints (-1,-9), (5,1). So the center of the circle is the midpoint obtained by [tex](\frac{-1+5}{2},\frac{-9+1}{2}) = (2, -4)[/tex]. Recall that the radius of a circle is the distance from the radius to any of the points of the circle. So, the radius is the distance between the center and the point (-1,-9). We will calculate r^2, by using the distance formula. REcall that the distance between points (a,b), (c,d) is given by

[tex]\sqrt[]{(a-c)^2+(b-d)^2}[/tex]. So, its square is

[tex](a-c)^2+(b-d)^2[/tex].

In our case,

[tex]r^2 = (2-(-1))^2+(-4-(-9))^2 = 3^2+5^2 = 34[/tex]

So, the equation of the circle is

[tex](x-2)^2+(y+4)^2 = 34[/tex]

Answer:

the first one the measurement around the circle

Answer:

job cost sheet.

Step-by-step explanation:

When planning or working on a specific project/job all the actual costs that are incurred for that job are written down in the job cost sheet. This report is an entire compilation that should be created by the accounting department and then distributed to all the members of the management department who then analyze it and determine whether the job was correctly bided. This sheet  gets updated as the job is undergoing and fully completed when the job is closed.

Answer:

1/10

Step-by-step explanation:

1 + 1/2 = 1 1/2

1 - 1/8 = 7/8

1 + 1/5 = 1 1/5

1 - 1/3 = 2/3

1 + 1/10 = 1 1/10

One and one tenth is closest to one because one tenth is the smallest amount that would need to be added or taken away to get exactly one. Hope I helped!

Answer:

E

Step-by-step explanation:

Answer:

P= $3.5x -$30

Step-by-step explanation:

Let the number of roses Thomas bought and sold be x.

Hence the total selling price would be;

$3.5 × x= $3.5x

The profit = selling price-expenses

P= $3.5x -$30

Answer:

63.33% probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old

Step-by-step explanation:

A probability the number of desired outcomes divided by the number of total outcomes.

We are given the following chart:

                  Under 25 | At least 25

Chocolate: 40            |  15

Vanila:        20            | 40

Swirl:          15             | 20

What is the probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old?

There are 150 customers, which is the number of total outcomes.

Of those, 75 are at least 25 and 20 are under 25 and prefer Vanilla yogurt. So the number of desired outcomes is 75 + 20 = 95

95/150 = 0.6333

63.33% probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old

Answer:

-9

Step-by-step explanation:

164-43=121

121-139=-18

-18/2=-9

Answer:

-9

Step-by-step explanation:

164= x-43

164-43=x

x=121

164-43=121

121-139=18

-18/2= -9

Answer:

True

Step-by-step explanation:

First start at B point than go to C point than go to A point

Answer:

Step-by-step explanation:

item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm

You did not state the diameter or radius of the window

so, i will use 90cm as the diameter of the window

First, I'd calculate the half circumference of the window.

The formula for circumference is [tex]c = 2\pi r[/tex],

Half of it would just be [tex]c/2 = r\pi[/tex]

Since our diameter is 90 cm, our radius is 45 cm.

Circumference =

[tex]=45\pi \\= 141.37 cm[/tex]

circumference is also the same with perimeter

Answer:

141.4cm

Step-by-step explanation:

=>

please give barinlist

Answer:

32 units

Step-by-step explanation:

The large triangle on top has an area of 20, cause 4*10 = 40

40/2 = 20.

the square on the bottom has an area of 4, well, cause 2*2 = 4.

The smaller triangle on the left has an area of 2, cause 2*2=4

4/2=2

The triangle on the right, has an area of 6, because 6*2=12

12/2=6

20+4+2+6 = 32

Answer:

32 Units =)

Step-by-step explanation:

Answer:

DE= 39°

Step-by-step explanation:

(4w+ 4 )+(4w+8)= 180

Solve for w

8w + 12 = 180

8w = 180-12

8w = 168

W= 21°

(4w+ 4)+(2w+11)+DE = 180

But w= 21°

((4*21 )+4)+((2*21)+11)+DE = 180

88 + 53 + DE = 180

DE = 180-88-53

DE= 39°

Answer:

1.4650  (the first option in the list of possible answers)

Step-by-step explanation:

Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:

[tex]2+3^x=7\\3^x=7-2\\3^x=5[/tex]

Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":

[tex]3^x=5\\x=log_3(5)[/tex]

In order to find this logarithm, we use the change of base formula:

[tex]log_3(5)=\frac{log(5)}{log(3)} =1.46497...[/tex]

which rounded to four decimals gives: 1.4650

Answer:

[tex]1.\ 8p = 64, p =8[/tex]

[tex]2. -\dfrac{w}{4} = 8, w = -32[/tex]

[tex]3. -5c = -20, c =4[/tex]

[tex]4.\ 9m=45, m = 5[/tex]

[tex]5. \dfrac{b}{25} = -3, b =-75[/tex]

[tex]6. \dfrac{d}{-2} = 20, d=-40[/tex]

Step-by-step explanation:

Now let us see the detailed solution of each part:

Part 1:

[tex]8p -15 = 49\\\Rightarrow 8p =49+15\\\Rightarrow 8p = 64\\\Rightarrow p =8[/tex]

Part 2:

[tex]\dfrac{-w}{4}+18=26\\\Rightarrow \dfrac{-w}{4} = 26-18\\\Rightarrow \dfrac{-w}{4} = 8\\\Rightarrow -w = 8 \times 4\\\Rightarrow w =-32[/tex]

Part 3:

[tex]-5c-15=-35\\\Rightarrow -5c = -35 +15\\\Rightarrow -5c = -20\\\Rightarrow c = 4[/tex]

Part 4:

[tex]9m +10=55\\\Rightarrow 9m =55-10\\\Rightarrow 9m =45\\\Rightarrow m =5[/tex]

Part 5:

[tex]\dfrac{b}{25}-83=-86\\\Rightarrow \dfrac{b}{25} = -86 +83\\\Rightarrow \dfrac{b}{25} = -3\\\Rightarrow b = -75[/tex]

Part 6:

[tex]\dfrac{d}{-2}+85=105\\\Rightarrow \dfrac{d}{-2} = 105-85\\\Rightarrow \dfrac{d}{-2} = 20\\\Rightarrow d=20 \times -2\\\Rightarrow d =-40[/tex]

Please refer to attached image for the answers.

Answer:

[tex] (240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953[/tex]

[tex] (240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047[/tex]

And the confidence interval for the difference is between:

[tex] 27.953 \leq \mu_1 -\mu_2 \leq 32.047[/tex]

Step-by-step explanation:

We have the following info given:

[tex] \bar X_1 = 240[/tex] sample mean for medium Pizzas from Prim's

[tex] \bar X_2 = 210[/tex] sample mean for medium Pizzas from Pizza Place

[tex] s_1 =8.6[/tex] sample deviation for Prim's

[tex] s_2 =5.7[/tex] sample deviation for Pizza Palca

[tex] n_1 =n_2 = 100[/tex]  sample size selected for each case

The confidence interval for the difference of means is given by:

[tex] (\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}[/tex]

And for the 95% confidence we need a significance level of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2= 100+100-2 =98[/tex]

And the critical value would be

[tex] t_{\alpha/2}= 1.984[/tex]

And replacing we got:

[tex] (240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953[/tex]

[tex] (240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047[/tex]

And the confidence interval for the difference is between:

[tex] 27.953 \leq \mu_1 -\mu_2 \leq 32.047[/tex]

Answer:

E

Step-by-step explanation:

30 plus or minus 1.98 sqrt 8.6^2/100 + 5.7^2/100

Answer:

20 minutes

Step-by-step explanation:

Distance= 40 km

Speed= 120 km/h

Time= distance/speed= 40/120= 1/3 hour= 20 min

Answer:

Time = 0.33 hrs

Step-by-step explanation:

Given:

Speed = 120 km/hr

Distance = 40 km

Required :

Time = ?

Formula:

Speed = Distance/Time

Solution:

Time = Distance / Speed

Time = 40/120

Time = 0.33 hrs

Answer:

k= 80%

Step-by-step explanation:

Jar A contains 4*0.45 L acid, and 4 L of a solution  of acid.

Jar B contains 5*0.48 L acid., and 5 L of a solution of acid.

Jar C contains 1*k/100 = k/100 acid, and 1 L of a solution.

50% = 0.5

For jar A.

(2/3)*k/100 L acid  is added to jar A.

Now jar A contains   4*0.45 L + (2/3)*k/100 L acid, and it has (4+2/3)L of a solution.

L solute/L solution = 0.5

[4*0.45 L + (2/3)*k/100 L]/(4+2/3)L = 0.5

[1.8 + (2k/300)]/[(12+2)/3] = 0.5

[1.8 + (2k/300)]/[14/3] = 0.5

[1.8 + (2k/300)]= 0.5*(14/3)

(2k/300) = 0.5*(14/3) - 1.8

2k = (0.5*(14/3) - 1.8)*300

k = (0.5*(14/3) - 1.8)*300/2 =80

k= 80%

We also can find k using jar B.

(1/3)k/100 L acid is added  to jar B.

Now jar B contains 5*0.48 L+ (1/3)k/100 L acid, and it has (5+1/3) L of a solution.

L solute/L solution = 0.5

[5*0.48 L+ (1/3)k/100 L ]/(5+1/3)L= 0.5

[5*0.48 + (1/3)k/100 ]/(5+1/3)= 0.5

This equation also gives k=80%

Check.

We can check at least for jar A.

Jar A has 4L solution and 4*0.45=1.8 L acid.

2/3 L of the solution from jar C was added, and now we have 4 2/3 L of solution.

(2/3)* 80%= (2/3)*0.8 acid was added from jar C.

Now we have [1.8 +(2/3)*0.8] L acid in jar A.

L solute/L solution =  [1.8 +(2/3)*0.8] L /(4 2/3) L = 0.5 or 50%  as it is given that jar A has 50% at the end.