plz help with this:)

this the answer of queastions

Step-by-step explanation:

67.18,68.82

Let mu be the true population mean of statistics exam scores. We have a large random samples of n=36 scores with a sample mean of 68.we know that the population standard deviation is sigma=3.A pivotal quantity is 3^sqrt(36)=(3/6)=68(1/2) which is approximately normally distributed. Therefore the 85%confidence interval is 68-(1/2)(1.6449), 68+(1/2)(1.6449) i.e (67.18,68.82)

Answer:

The sample size must be of 47,059,600.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation:

[tex]\sigma = 3.5[/tex]

If you want the error bound E of a 95% confidence interval to be less than 0.001, how large must the sample size n be?

This is n for which M = 0.001. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.001 = 1.96\frac{3.5}{\sqrt{n}}[/tex]

[tex]0.001\sqrt{n} = 1.96*3.5[/tex]

[tex]\sqrt{n} = \frac{1.96*3.5}{0.001}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*3.5}{0.001})^2[/tex]

[tex]n = 47059600[/tex]

The sample size must be of 47,059,600.

Answer:

4/27

Step-by-step explanation:

total number of marbles=9

probability of red=4/9

since you returned the first marble, the total number of marbles remains the same

prob(Blue)=(3/9)=1/3

P(red then blue)=(4/9)*(1/3)

=4/27

Answer:

It's a negative.

Step-by-step explanation:

The value of a positive number is still a positive number.

Answer:

[tex](f-g)(4) = -59[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=4x-3\text{ and } g(x) = x^3 +2x[/tex]

And we want to find the value of:

[tex](f-g)(4)[/tex]

Recall that this is equivalent to:

[tex](f-g)(4) = f(4) - g(4)[/tex]

Find f(4):

[tex]f(4) = 4(4)-3 = 13[/tex]

And find g(4):

[tex]g(4) = (4)^3 + 2(4) =72[/tex]

Substitute:

[tex](f-g)(4) = (13)-(72)[/tex]

And subtract. Hence:

[tex](f-g)(4) = -59[/tex]

Step-by-step explanation:

I love this question!

So there are a couple different ways of solving this. You feel free to ignore whichever one makes less sense.

Subtracting First

The first option is taking f(x) and g(x) and subtracting them, then introducing the number.

The calculation:

f(x) - g(x)

Substitute.

4x - 3 - (x^3 + 2x)

Multiply out the negative.

4x - 3 - x^3 - 2x

Rewrite.

-x^3 + 4x - 2x - 3

Simplify.

-x^3 + 2x - 3

Then, replace x with 4.

-(4)^3 + 2(4) - 3

Simplify.

-64 + 8 - 3

Add.

-59

Making x = 4 first

Here, we'll do what's on the tin. Find f(4) and g(4), then subtract them.

f(x) = 4x - 3

f(4) = 4(4) - 3

f(4) = 16 - 3

f(4) = 13

Then find g(4):

g(x) = x^3 + 2x

g(4) = (4)^3 + 2(4)

g(4) = 64 + 8

g(4) = 72

Then, subtract these two:

f(4) - g(4) = 13 - 72

f(4) - g(4) = -59

Answer:

Either way, the answer is -59

9514 1404 393

Answer:

  2.244

Step-by-step explanation:

Your answer looks like it may have a transcription error.

The period is reasonably computed as the difference of the x-values of the given points:

  period = 4.114 -1.870 = 2.244 . . . seconds

Answer:

A

Step-by-step explanation:

The graph is a square root function

a-7=3(b+2)

1. Simplify/Combine like terms

a-7=3b+6

2. Remove a variable

a-7-a=3b+6-a

7=2b+6

3. Isolate the variable

7-6=2b-6

1=2b

4. Divide

1/2=2b/2

b=1/2

1/2g?

Step-by-step explanation:

Let the price of CD, tshirt and jeans be x,y and z respectively.

given:

x+2y+2z=133......(i)

y=x+13.......(ii)

2z=y+30....(iii)

in eqn (iii) ,

2z=y+30

or, 2z=x+13+30

or, z=(x+43)/2....(iv)

now in eqn (i),

x+2y+2z=133

or, x+2(x+13)+2((x+43)/2) =133

or, x+2x+26+x+43=133

or, 4x=133-69

or, x= 64/4

•°• x=$16

Answer:

Regular Polygons are never concave by definition.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Charlotte starts at 19 years old.

Rachel starts at 24 years old.

Then two years later, Rachel is 26 and Charlotte is 21. This is not 3 times Charlotte's age.

Do you have all the right info?

Subtract the meal:

89.97- 10.85 = 79.12

Let the play station game = x

A water ride is twice that so a water ride is 2x

There is 3 water rides : 3 x 2x =6x

The PlayStation game and water rides = 79.12

6x + x = 79.12

Simplify:

7x = 79.12

Divide both sides by 7:

X = 11.30

The PlayStation game is 11.30

The water ride = 2 x 11.30 = 22.60

Answer: I think the answer is A

Step-by-step explanation:

Answer:

1020m = 1.02km

Step-by-step explanation:

Speed of sound is about 340m/s.

it takes 3s for the sound to reach the ear of the spectator, thus the sound-source is 340 * 3m ( 1020m ) away.

The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA

The question is related to a SIMPLE INTEREST problem:

Loan period = 60 days

using 365 days a year ;

converting to years , 60 days = (60 / 365) years

interest on loan = 73.97

principal = 5000

Using the formula:

interest = (principal * rate * time)

73.79 = (5000 * rate * (60/365)

Rate = 73.79/(5000 * (60/365)) =8.977%

rate = 9%

Therefore, PERCENTAGE ANNUAL RATE is 9.0%

Learn more : https://brainly.com/question/3880193

Answer:

$9

Step-by-step explanation:

30*(100%-70%)=9

Answer:

9

Step-by-step explanation:

Take the original price

Multiply by the discount percent

30 *70%

30 *.70

21

The discount is 21 percent

Subtract this from the original amount

30-21

9

Answer:

[tex]Pr= \frac{1}{21}[/tex]

Step-by-step explanation:

Given

[tex]n(S) = 7[/tex] --- number of games

Required

Probability of bike and movie in consecutive order

This probability is represented as:

[tex]Pr = P(Bike\ and\ Movie) \ or\ P(Movie\ or\ Bike)[/tex]

So, we have:

[tex]Pr = P(Bike\ and\ Movie) \ +\ P(Movie\ or\ Bike)[/tex]

The probability is an illustration of selection without replacement;

So, we have:

[tex]P(Bike\ and\ Movie) = P(Bike) * P(Movie)[/tex]

[tex]P(Bike\ and\ Movie) = \frac{n(Bike)}{n(S)} * \frac{n(Movie)}{n(S) - 1}[/tex] ---- without replacement

Bike and Movie appear in the game list 1 time.

So, the equation becomes

[tex]P(Bike\ and\ Movie) = \frac{1}{7} * \frac{1}{7 - 1}[/tex]

[tex]P(Bike\ and\ Movie) = \frac{1}{7} * \frac{1}{6}[/tex]

[tex]P(Bike\ and\ Movie) = \frac{1}{42}[/tex]

Similarly,

[tex]P(Movie\ and\ Bike) = \frac{1}{42}[/tex]

So, we have:

[tex]Pr = P(Bike\ and\ Movie) \ +\ P(Movie\ or\ Bike)[/tex]

[tex]Pr= \frac{1}{42}+\frac{1}{42}[/tex]

Take LCM

[tex]Pr= \frac{1+1}{42}[/tex]

[tex]Pr= \frac{2}{42}[/tex]

[tex]Pr= \frac{1}{21}[/tex]

9514 1404 393

Answer:

  B. (0, –2)

Step-by-step explanation:

Put the (x, y) values into the given formula.

  (x, y) ⇒ (x +5, y -2)

  B(-5, 0) ⇒ B'(-5+5, 0-2) = B'(0, -2)

The EXPONENTIAL REGRESSION equation obtained by fitting the data is [tex]y = 58.031(0.964)^x[/tex]

To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL

Using an exponential regression calculator :

The regression equation obtained is :

[tex]y = 58.031(0.964)^x[/tex]

The general function of an exponential regression function is : [tex]AB^x[/tex]

A = 58.031 = Initial value ; B = Decay factor

Hence, the EXPONENTIAL REGRESSION EQUATION obtained using technology is : [tex]y = 58.031(0.964)^x[/tex]

Learn more :

https://brainly.com/question/11169800

Answer:

Yes, because there are two pairs of congruent corresponding angles

Step-by-step explanation:

Two triangles are similar if they have the same angles. For triangle UVT on the left, we know that the sum of angles in a triangle is 180 degrees. There is one missing angle there, so the sum of angles is

80 + 55 + missing angle = 180

subtract 80+55 = 135 from both sides

45 = missing angle

Therefore, the angles in UVT are 45, 55, and 80

Similar, for XWY,

missing angle + 45 + 55 = 180

subtract 45 + 55= 100 from both sides

missing angle = 80

The angles for XWY are 45, 55, and 80. The angles are the same for both triangles, and there are three pairs of congruent corresponding angles (45, 55, and 80). Therefore, the triangles are similar

Answer:

5≤x≤7

Step-by-step explanation:

For a given function f(x), the average rate of change in a given interval:

a ≤ x ≤ b

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

f(x) = 4*log(x + 2)

And we want to see which interval has the smallest average rate of change, so we just need fo find the average rate of change for these 4 intervals.

1)  1≤x≤3

here we have:

[tex]r = \frac{f(3) - f(1)}{3 - 1} = \frac{4*log(3 + 2) - 4*log(1 + 2)}{2} = 0.44[/tex]

2)  5≤x≤7

[tex]r = \frac{f(7) - f(5)}{7 - 5} = \frac{4*log(7 + 2) - 4*log(5 + 2)}{2} = 0.22[/tex]

3) 3≤x≤5

[tex]r = \frac{f(5) - f(3)}{5 - 3} = \frac{4*log(5 + 2) - 4*log(3 + 2)}{2} = 0.29[/tex]

4) −1≤x≤1

[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{4*log(1 + 2) - 4*log(-1 + 2)}{2} = 0.95[/tex]

So we can see that the smalles average rate of change is in 5≤x≤7

Answer:

The number of flowers on the plant

Step-by-step explanation:

Answer:

C: Number of flowers on the plant

Step-by-step explanation:

i got it right on my test

There will be about 6.25 sheep on each acre.  

250/40 = 6.25

Answer:

[tex](a)\ V = \{(N,30),(R,37),(S,17)\}[/tex]

[tex](b)[/tex]

[tex]Domain = \{N,R,S\}[/tex]

[tex]Range = \{37,30,17\}[/tex]

Step-by-step explanation:

Given

[tex]V(R) = 37,\ V(N) = 30,\ V(S) = 17[/tex]

Solving (a): Set of ordered pair

A function y = f(x) is represented as (x,y)

So, the ordered pair of V is:

[tex]V = \{(R,37),(N,30),(S,17)\}[/tex]

Order the alphabets in increasing order

[tex]V = \{(N,30),(R,37),(S,17)\}[/tex]

Solving (b): The domain and the range

In a function [tex]\{(x_1,y_1),...,(x_n,y_n)\}[/tex]

The domain and the range are represented as:

[tex]Domain = \{x_1,x_2....x_n\}[/tex]

[tex]Range = \{y_1,y_2....y_n\}[/tex]

So, we have:

[tex]Domain = \{N,R,S\}[/tex]

[tex]Range = \{37,30,17\}[/tex]

Answer:

42 cakes

Step-by-step explanation:

123 - 81 = 42

.....

Samuel needs to bake 42 more cakes to have a total of 123 cakes.

To find out how many more cakes Samuel needs to bake to have a total of 123 cakes, we subtract the number of cakes he already baked from the desired total.

Total desired cakes: 123

Cakes already baked: 81

To find the remaining cakes, we subtract the number of cakes already baked from the desired total:

123 - 81 = 42

Therefore, Samuel needs to bake 42 more cakes to have a total of 123 cakes.

To know more about  cakes , here

https://brainly.com/question/30083703

#SPJ2

Answer:

The first droplet will hit the ground after about 1.54 seconds.

The second droplet will hit the ground after about 1.6 seconds.

Thus, the first hits the ground first.

Step-by-step explanation:

We are given the function:

[tex]y=-16r^2 + 38[/tex]

Which represents the height y in feet of a water droplet t seconds after falling from an icicle.

Part A)

We want to find the time it took for the water droplet to hit the ground.

When it hit the ground, its height y above ground will be zero. Therefore, we can let y = 0 and solve for r:

[tex]0=-16r^2+38[/tex]

Subtract 38 from both sides:

[tex]-38 = -16 r^2[/tex]

Divide:

[tex]\displaystyle r^2 = \frac{38}{16} = \frac{19}{8}[/tex]

And take the principal square root of both sides:

[tex]\displaystyle r= \sqrt{\frac{19}{8}} = \frac{\sqrt{38}}{4} \approx1.54\text{ seconds}[/tex]

So, the first water droplet hits the ground after about 1.54 seconds.

Part B)

We want to determine how long it will take for a water droplet to hit the ground from a height of 41 feet.

From the original equation, if r = 0, then y = 38. So, the initial height was 38 feet.

Then we can modify the function into:

[tex]y= -16r^2 + 41[/tex]

In this case, when r = 0, the starting height y is 41 feet.

Again, let y = 0 and solve for r:

[tex]0 = -16r^2 + 41[/tex]

Isolate:

[tex]\displaystyle r^2 = \frac{41}{16}[/tex]

And take the principal square root of both sides:

[tex]\displaystyle r = \sqrt{\frac{41}{16}} = \frac{\sqrt{41}}{4} \approx 1.6\text{ seconds}[/tex]

So, the second drop will hit the ground after approximately 1.6 seconds.

And in conclusion, the first drop will hit the ground sooner (as expected).

Answer: 10m, 33m, and 29m

Step-by-step explanation:

n + 3n+3 + 3n-1 = 72m

7n+2=72m

7n = 72-2

n = 70/7

n = 10