Tim generated the following R code. Translate this R code (and output) into a probability statement. a) pnorm(1.1) [1] 0.8643339 b) qnorm(0.3) [1] -0.5244005

Answer:

8c= $225

Step-by-step explanation:

Number of shirts ×cost of each shirt= total cost

Since she bought 8 shirts and the cost of each is c,

8c= $225

To solve for c, divide both sides of the equation by 8:

c= $225 ÷8

c= $28.125

Answer:

8c= $225

Step-by-step explanation:

8c÷8= $225÷8

c=28.125

Answer:

- 2

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) ⇔ \(\frac{1}{a^{m} }\)

0.25 = \(\frac{1}{4}\) = \(\frac{1}{2^{2} }\) = \(2^{-2}\)

The prediction we can make is that there were about 169 principals in attendance at the conference. The answer is D.

A type of ratio known as proportions describes the size of one segment of a group in relation to the size of the group as a whole, or population.

If 80 people represent a certain percentage of the total attendance, then we can use that same percentage to estimate the number of principals in attendance. Specifically:

percentage of principals in exhibit room = 15/80 = 0.1875

percentage of total attendance in exhibit room = 80/900 = 0.0889

If we assume that the percentage of principals in the exhibit room is similar to the percentage of principals in the entire conference, then we can set up the following proportion:

0.1875 / x = 0.0889 / 900

where x represents the total number of principals in attendance.

here, Solve for x, then:

x = 169

Therefore, the prediction we can make is that there were about 169 principals in attendance at the conference. The answer is D.

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Answer:

624 minutes and 10 seconds

Knowing that Dan must ask a statistical question to his friends, it is important to know the definition of "Statistical Questions".

Statistical Questions are defined as those questions that need a collection of data and have the data obtained has variability.

In this case, you need to identify if the questions provided in the options satisfy that definition:

1. The question "What is your favorite food?" can be answered with data that vary, because each friend has a favorite food that can be different from the others.

2. The question "What is the color of lemon?" is not a clear question for collecting data. It is ambiguous.

3. The question "What is the capital of Spain?" has only one correct answer.

4. For the question "What is George's favorite food?" Dan could obtain ambiguous answers.

Hence, you can conclude that the answer is: Option 1.

Answer:

y = -3x - 1

Step-by-step explanation:

Pick any 2 points on the line and find the slope, m:  

(-1, 2) and (1, -4)

m = (-4 - 2) / (1 - -1) = -6/2 = -3

The y-intercept, b,  is -1  (read it right off the graph, where the line passes through the y axis).

Equation of the line in y = mx + b form:

y = -3x - 1

Answer:

shade the number line to the left of the open circle

Step-by-step explanation:

x is less than - 2, so it could be any number lower than -2. for example, -3, -4, -5, etc.

Answer:

A. shade the number line to the left of the open circle

Step-by-step explanation:

Answer:

-----------------

Find each area and then find their difference.

The difference is:

AS per the Green's theorem, the value of the triangle curve consisting of the line segment from (0, 0) to (1, 0) is 3.

Green's theorem:

Green's theorem states that "a line integral around a simple closed curve C to a double integral over the plane region D bounded by C."

Given,

Here we have the derivative

∫ₓ³ x² dx + xy dy

Now, we have to use the Green's theorem, to find the value of the  the triangle curve consisting of the line segment from (0, 0) to (1, 0).

In order to find the value of the given interval we have to solve the given derivative,

When we solve the given derivative we get the resulting equation as,

=> ∫ₓ³ x² dx + xy dy

=> [2x + y]

Now we have to apply the interval, then we get,

=> [2(1) + 1] - [2(0) + 0]

=> 3 - 0

=> 3

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Answer:

Step-by-step explanation:

Slope is 0

Answer:The answer to the slope is 0.

Answer:

The probability that the next customer will pay with a credit card will be 0.26 or 26%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.

Then the probability that the next customer will pay with a credit card will be

P

=

32

123

�

=

0.26

P=

123

32

P=0.26

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Step-by-step explanation:

I hope this helps :-)

The number of degrees of freedom corresponding to within-treatments is 60, which is option (d).

In a completely randomized experimental design, the total sum of squares (SST) can be partitioned into two components: the sum of squares due to treatments (SSTR) and the sum of squares within-treatments (SSE). The degrees of freedom associated with each component are used to analyze the variability in the data.

Given that SSTR = 300 and SST = 800, we can calculate the sum of squares within-treatments (SSE) by subtracting SSTR from SST: SSE = SST - SSTR = 800 - 300 = 500.

The degrees of freedom corresponding to within-treatments is equal to the total number of observations minus the number of treatments. In this case, there are 65 observations (13 observations for each of the 5 treatments) and 5 treatments. Therefore, the degrees of freedom for within-treatments is 65 - 5 = 60.

Hence, the correct answer is option (d), which states that the number of degrees of freedom corresponding to within-treatments is 60.

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The break-even point is the level of output at which total revenue (TR) equals total cost (TC). In this case, with TR(x) = 20x and TC(x) = 120 + 10x, we need to find the value of x where TR(x) = TC(x).

To find the break-even point, we set TR(x) equal to TC(x) and solve for x.
TR(x) = TC(x) can be expressed as:
20x = 120 + 10x
Simplifying the equation, we combine like terms:
20x - 10x = 120
10x = 120
To isolate x, we divide both sides of the equation by 10:
x = 12
Therefore, the break-even point occurs when x is equal to 12. At this level of output, the total revenue is equal to the total cost.

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To determine how fast the river is flowing, we can use the concept of relative velocity.

This is because the boat is traveling both downstream and upstream, which means its speed is affected by the speed of the river.Let the speed of the boat be B and the speed of the river be R. Then, when traveling downstream, the boat's effective speed is:B + RAnd when traveling upstream, the boat's effective speed is:B - RWe know that the boat takes 3.8 hours to travel 23.53 km downstream.

This means that the boat's effective speed downstream is:23.53 km / 3.8 hours = 6.187 km/hour So we can write:  B + R = 6.187 km/hour Similarly, we know that the boat takes 6 hours to travel the same distance upstream. This means that the boat's effective speed upstream is:23.53 km / 6 hours = 3.922 km/hour So we can write :B - R = 3.922 km/hour Now we have two equations with two unknowns (B and R). We can solve for R by adding the two equations.

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Answer:

Step-by-step explanation:

Answer:

300 numbers are divisible by 3

Step-by-step explanation:

some of them include

102,105,108,111,114,117,120,123,126,

129,132,135,138,141,144,147,150,153,

156,159,162,165

i don't have an explanation just knew form a while back  

hope this helped though :)

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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Answer:

I believe it would be $52.29

Step-by-step explanation:

You put $45.00 with 15% in a percentage calcuator, (math w ay might work,) which gives you 6.75 and you put the tax of 8% in a tax calculator which gives you 7.29.

Then you just add $45.00 + 7.29 = $52.29!

Hope this helps lol

If y1 and y2 are continuous random variables with joint density function f (y1, y2) = ky1e−y2 , 0 ≤ y1 ≤ 1, y2 > 0 then,

a) k = 1 - e^(-1) ≈ 0.632,

b) fy1(y1) = ∫f(y1, y2)dy2 = ky1∫e^(-y2)dy2 = ky1(-e^(-y2))|y2=0 to y2=∞ = k*y1,

c) f(y2 | y1 < 1/2) = f(y1,y2)/fy1(y1) = e^(-y2)/(1 - e^(-1))*y1, for 0 ≤ y1 ≤ 1/2 and y2 > 0.

(a) To find k, we must integrate the joint density function over the entire range of y1 and y2, and set the result equal to 1, since the density function must integrate to 1 over its domain:

∫∫ f(y1,y2) dy1 dy2 = 1

∫0∞ ∫0¹ f(y1,y2) dy1 dy2 = 1

∫0∞ (k y1 e^-y2) dy2 ∫0¹ dy1 = 1

k ∫0∞ (y1 e^-y2) dy2 ∫0¹ dy1 = 1

k ∫0¹ y1 dy1 ∫0∞ e^-y2 dy2 = 1

k(1/2)(1) = 1

k = 2

Therefore, the joint density function is f(y1,y2) = 2y1e^-y2, 0 ≤ y1 ≤ 1, y2 > 0.

(b) To find fy1(y1), we must integrate the joint density function over all possible values of y2:

fy1(y1) = ∫0∞ f(y1,y2) dy2

fy1(y1) = 2y1 ∫0∞ e^-y2 dy2

fy1(y1) = 2y1(1) = 2y1

Therefore, fy1(y1) = 2y1, 0 ≤ y1 ≤ 1.

(c) To find f(y2 | y1 < 1/2), we need to use Bayes' rule:

f(y2 | y1 < 1/2) = f(y1 < 1/2 | y2) f(y2) / f(y1 < 1/2)

We know that f(y2) = 2y1e^-y2 and f(y1 < 1/2) = ∫0^(1/2) 2y1e^-y2 dy1.

First, we need to find f(y1 < 1/2 | y2):

f(y1 < 1/2 | y2) = f(y1 < 1/2, y2) / f(y2)

f(y1 < 1/2, y2) = ∫0^(1/2) ∫0^y2 2y1e^-y2 dy1 dy2

f(y2) = ∫0∞ ∫0^1 2y1e^-y2 dy1 dy2

Using these equations, we can find:

f(y1 < 1/2 | y2) = ∫0^(1/2) ∫0^y2 2y1e^-y2 dy1 dy2 / ∫0∞ ∫0^1 2y1e^-y2 dy1 dy2

f(y1 < 1/2 | y2) = 1 - e^(-y2/2)

f(y2) = 2y1e^-y2

f(y1 < 1/2) = ∫0^(1/2) 2y1e^-y2 dy1 = [2(1-e^(-y2/2))] / y2

Substituting these expressions back into Bayes' rule, we get:

f(y2 | y1 < 1/2) = (1 - e^(-y2/2)) * y1e^-y2 / (1-e^(-y2/2))

Simplifying this expression, we get:

f(y2 | y1 < 1/2) = y1 * e^(-y2/2), 0 < y2 < ∞

Therefore, the conditional density of y2 given that y1 < 1/2 is f(y2 | y1 < 1/2) = y1 * e^(-y2/2), 0 < y2 < ∞.

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Answer:

See below. No image this time.

Step-by-step explanation:

1.

2.

3.

4.

Answer:

70

Step-by-step explanation:

20 x 7 = 140 divided by 2 = 70

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

Add 1

Step-by-step explanation:

I hope this helps :)

Answer:

You would need to add one

Step-by-step explanation:

Since there is a negative one, you will get rid of it by adding one

(Just do the opposite of the the sign)

HAVE A GREAT DAY! :)

The equation for a in terms of t, where a direct variation with t and a = 68 when t = 20, is a = 3.4t.

In a direct variation, two variables are related by a constant ratio. In this case, the variable a varies directly with t.

We can write the equation as a = kt, where k represents the constant of variation. To find the value of k, we can use the given information that a = 68 when t = 20.

Plugging these values into the equation, we have 68 = k * 20. Solving for k, we divide both sides by 20, which gives k = 68/20 = 3.4.

The equation for a in terms of t is a = 3.4t. This means that for any given value of t, we can find the corresponding value of a by multiplying t by 3.4.

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If Amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend worth of $1.77 , then the number of 41 cent stamp used is 3  and the number of 6 cent stamps used is  9 .

Let the number of 41 cents stamps used in postage is = x ;

let the number of 6 cents stamps used in postage is = y ;

the amount 41 cents in dollars is = $0.41  ;

and amount 6 cents in dollars is = $0.06  ;

Amy used 41-cent stamps , 6-cent stamps to pay $1.77 in postage

it is represented in equation form as  ⇒ 0.41x + 0.06y = 1.77

Multiplying on both sides by 100 , we get

⇒ 41x + 6y = 177  ;

⇒ y = (177 - 41x)/6 ;

We will test for corresponding values of x and y to satisfies this equation and the number of stamps must be whole numbers.

If x = 1 , then y = 26.66

If x = 2 , then y = 15.83

If x = 3 , then y = 9

If x = 4 , then y = 2.16 .

the only values that shows a whole number is : If x = 3 , then y = 9 .

Therefore , Amy used "3" 41-cents stamps and "9" 6-cent stamps .

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Answer:

can you expand on your question?

Step-by-step explanation:

Answer:

72 marbles are yellow

Step-by-step explanation:

Answer:

Step-by-step explanation:

when operating with two negative signs, the signs change to positive. so, the question becomes;

4/7 + 3/5

find LCM of the denominators then calculate, or just use a calculator.

the answer is 41/35 or in mixed fraction = 1 and 6/35