Helpppppp pleaseeeeee !!!!!!!!! !!!!

Answer:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Step-by-step explanation:

We have that 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 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

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.

[tex]M = 1.645\frac{0.1}{\sqrt{n}} = \frac{0.1645}{\sqrt{n}}[/tex]

The lower end of the interval is the sample mean subtracted by M, while the upper end is M added to the sample mean of 0.5. Thus, the confidence interval is of:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Answer:

statistical is the right one:)

Answer:

A. Bin(40,0.65)

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a cell phone, or they do not. The probability of an adult having a cell phone is independent of any other adult having a cell phone. This means that the binomial probability distribution is used 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.

In function of its parameters, the distribution is written as: Bin(n,p).

The proportion of adults who own a cell phone in a certain Canadian city is believed to be 65%

This means that [tex]p = 0.65[/tex]

Forty adults are to be selected at random from the city.

This means that [tex]n = 40[/tex].

Thus, we have Bin(40,0.65), and the correct answer is given by option A.

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Answer:

323 feet

Step-by-step explanation:

909-586=323

Answer: 13

Step-by-step explanation:

This is a right angle, since there is a box

So, 33° + (4w + 5)° = 90°

33° + 4w + 5 = 90°

38° + 4w = 90°

Subtract 38° on both sides

4w = 90° - 38°

4w = 52°

Divide 4 on both sides

w = 13

Answer:

4.5 pounds of candy y

5.5 pounds of candy x

Step-by-step explanation:

Given

Let x and y represent the two candies

[tex]x + y = 10[/tex] --- the sum of both candies

[tex]2x + 4y =29[/tex] ---- the worth of candies

Required

The pound of each

[tex]x + y = 10[/tex]

Make x the subject

[tex]x = 10 - y[/tex]

Substitute [tex]x = 10 - y[/tex] in [tex]2x + 4y =29[/tex]

[tex]2(10 - y) + 4y = 29[/tex]

Open bracket

[tex]20 - 2y + 4y = 29[/tex]

[tex]20 + 2y = 29[/tex]

Collect like terms

[tex]2y = 29 - 20[/tex]

[tex]2y = 9[/tex]

Solve for y

[tex]y = 9/2[/tex]

[tex]y = 4.5[/tex]

Recall that: [tex]x = 10 - y[/tex]

[tex]x = 10 - 4.5[/tex]

[tex]x = 5.5[/tex]

Step-by-step explanation:

A. x=15 because -5+20 is equal to 15

Answer:

Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

Step-by-step explanation:

In the picture.

Answer:

Hello! answer: 13

Step-by-step explanation:

-4 × 13 = 52 therefore a = 13 HOPE THAT HELPS!

Answer:

a = 13

Step-by-step explanation:

u need to solve for a so get it on one side by itself and do that by dividing both sides by -4

-4a= 52

−4a÷ -4= a

52 ÷ -4 = -13

a= 13

Answer:

I'm a bit confused with your question.

Maybe this guy Sayurki can help ! He said this - "Set of unconnected points because you can't buy a part of a DVD in a line there are infinite points and when buying something such as a DVD to reach that infinite u need to be able to buy part of a DVD which technically isn't possible so that why is unconnected points u buy a full DVD not part "

Step-by-step explanation:

Answer:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) =x -1[/tex]

Required

[tex]g(f(x))[/tex]

We have:

[tex]g(x) =x -1[/tex]

Replace x with f(x):

[tex]g(f(x)) = f(x) -1[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]g(f(x)) = x^2 -1[/tex]

Hence:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

Answer:

the required sample size is 62

Step-by-step explanation:

Given the data in the question;

Confidence interval C = 95% = 0.95

Margin of error E = 10

population standard deviation σ = 40

sample size n = ?

We use the following formula to get our sample size;

sample size n = ( ( [tex]Z_c[/tex] × σ ) / E )²

Next we find z value for confidence interval

Confidence interval C = 95% = 0.95

Area = ( 1 + c )/2 = ( 1 + 0.95)/2 = 1.95 / 2 = 0.975

Now we check our z-table to see the area where 0.975 falls;

It falls under column 0.06 and Row 1.9

so, our z-value for confidence interval of 0.95 is 1.96

so we substitute

sample size n = ( ( 1.96 × 40 ) / 10 )²

n = ( 78.4 / 10 )²

n = ( 7.84 )²

n = 61.4656

we know that sample size is always rounded up, so

n = 62

Therefore, the required sample size is 62

search up mean calculator

Answer:

[tex]\huge\boxed{\sf 90\ degrees}[/tex]

Step-by-step explanation:

P is the center of the circle

Chord RL passes through the center of the circle. Hence it is the diameter of the circle.

According to Thales's Theorem: (The angle opposite to the diameter is 90 degrees when a triangle is drawn in that semi-circle)

=> m∠REL = 90°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

Answer:

9.09, 309.09

Step-by-step explanation:

Year1 300x.01=3. Balance is 303/(300+3)

Year2 303x.01=3.03 balance is 306.03

Year3 306.03x.01=3.06 balance=309.09

Answer:

Interest earned = $9

Balance after 3 years = $309

Step-by-step explanation:

For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.

I = PRT

I = (300)(0.01)(3)

I = 9

Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309

Answer:

The line equation is Y=(1/2)x+2

Step-by-step explanation: Start with the standard from: y=mx+b

Find the slope, or change in the y value divided by change in the x value.

For this graph the slope is 1/2 meaning the y value goes up once every time the x value goes up two. this is represented by the m value

Now we need to find the y intercept, or where the graph passes through the y intercept, this is represented by b

We find the intercept by inserting a point n the line into our equation and solving for b:

Point: (2,3) Equation: y=(1/2)x+b

3=(1/2)2+b

3=1+b

-1  -1

2=b

Answer:

360cm²

Step-by-step explanation:

If the formula in the question is correct (S.A. = 40r²) then you just have to change r for r value:

40 * 3² = 40 * 9 = 360cm²

Hope it helps .

Answer:

3x+94+x+18+2x-4=180(being straight line)

6x+108=180

6x=180-108

x=72/6

x=12

Step-by-step explanation:

Answer:

7,329.60m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

r is the radius

h is the height

Given

r = 19.3m

h = 18.8m

Substitute

V = 1/3 * 3.14 * 19.3² * 18.8

V = 21,988.82968/3

V = 7,329.6 cubic meter

Hence the volume of the cone to neatrest tenth is 7,329.60m³

Answer:

10^6

Step-by-step explanation:

Dont exactly know how to explain but it’s ten to the sixth power. There are six zeros and I just know how to do this.

Answer:

width = 5 feet

length = 13 feet

Step-by-step explanation:

length of a rectangular vegetable bed is 3 feet more than twice the width

l = 2x + 3

length of the fence around the bed is 36 feet

p = 2(l + x)

36 = 2(l + x)

18 = l + x

Substitute for l

18 = (2x + 3) + x

18 = 3x + 3

15 = 3x

x = 5

l = 2(5) + 3 = 13

Answer:

width= 5

length=13

equation (x is rectangle) = 18=(2x+3)+x

Step-by-step explanation:

Answer:

2.7>217/100

Step-by-step explanation: