A hair dryer is rated at 1850 watts. How much does it cost to run this dryer for 10 minutes if the cost of
electricity is $0.15 per kWh?
(Note: Time must be in HOURS. Divide minutes by 60 to get hours.)
Round to the nearest cent.

Answer:

r=7

Step-by-step explanation:

Cylinder Area

= πr² x h

1078 = 22/7 x r² x 7

1078/22 = r²

49=r²

r=7

Answer: A. 0.4899 B. 14

Step-by-step explanation:

If X = random variable

then, the standard deviation of the sampling distribution of X = \(\dfrac{\sigma}{\sqrt{n}}\)

A.

GIven: \(\sigma= 1.2, \n= 6\)

The standard deviation of the sampling distribution of X = \(\dfrac{1.2}{\sqrt{6}}=0.4899\)

B. Let n be the sample size,

\(0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14\)

Hence, the required sample size = 14

Answer: a) length of the wires are 8.1m and 13.4m

b) length of pole is 8.8m

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. Triangle ABC is formed. Since the sum of the angles in a triangle is 180°, it means that angle B would be

180 - (41 + 55) = 84°

a) AC and BC are the lengths of each wire.

CD is the height of the pole

To determine AC, we would apply sine rule which is expressed as

a/SinA = b/SinB = c/SinC

Therefore,

11/Sin55 = BC/Sin 41 = AC/Sin84

1) 11//Sin 55 = BC/Sin 41

Cross multiplying, it becomes

11Sin41 = BCSin55

11 × 0.6561 = BC × 0.8192

BC = 7.2171/0.8192 = 8.8m

2) 11/Sin55 = BC/Sin 41 = AC/Sin84

1) 11//Sin 55 = AC/Sin 84

Cross multiplying, it becomes

11Sin84 = ACSin55

11 × 0.9945 = AC × 0.8192

AC = 10.9395/0.8192

AC = 13.4m

b) triangles ACD and BCD are right angle triangles. To determine CD, we would apply the sine trigonometric ratio.

Sin # = opposite side/adjacent side

Considering triangle ACD,

Sin 41 = CD/13.4

CD = 13.4Sin41 = 13.35 × 0.6561

CD = 8.8m

Answer

2

Step-by-step explanation:

1+1=2

Answer: Window

Step-by-step explanation:

1+1 the the = on top :D

Answer:

y = x² + 2

y = -5/x

Step-by-step explanation:

Linear & Nonlinear Definition:

From choices:

Therefore, y = x²+2 and y = -5/x are nonlinear.

A proportional odds model is an ordinal logistic regression model with the proportional odds assumption. To fit the model with all possible predictors, the p-values associated with each coefficient must be obtained using the summary() function in R. The p-values indicate whether the coefficients are significant at the 0.05 significance level and the significant coefficients tell us which predictor variables are associated with the response variable.

A proportional odds model is an ordinal logistic regression model with the proportional odds assumption. It is used to predict the relative odds of moving from one outcome to another. To fit a proportional odds model with all possible predictors, one needs to fit the model using the following code in R:mod - polr(Y  X1 + X2 + X3 + X4 + X5, data = mydata). To test for the significance of coefficients at the 0.05 significance level, one needs to look at the p-values associated with each coefficient. The most important details are that the p-values indicate whether the coefficients are significant at the 0.05 significance level, and that the significant coefficients tell us which predictor variables are associated with the response variable.

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The probability that the average height of the sample men is greater than 69.5 inches is approximately 0.9772 or 97.72%.

To find the probability that the average height of the sample men is greater than 69.5 inches, we will use the Central Limit Theorem and the z-score formula.
Identify the given values:
  - Population mean (μ) = 70 inches
  - Population standard deviation (σ) = 2.5 inches
  - Sample size (n) = 100
  - Sample mean (\(\bar{x}\)) = 69.5 inches.

According to the Central Limit Theorem, the distribution of sample means will be approximately normally distributed with mean μ and standard deviation σ/√n.

Calculate the standard deviation of the sample means \((\sigma \bar{x} )\)
\((\sigma \bar{x} ) = \sigma /\sqrt{n }\)

= 2.5/√100

= 2.5/10

= 0.25
Calculate the z-score using the formula:
\(z = ([\bar{x}- \mu )/\sigma\bar{x}\)

= (69.5 - 70)/0.25 = -0.5/0.25

= -2
Use a z-table or calculator to find the probability that a z-score is greater than -2:
  P(z > -2) = 1 - P(z ≤ -2) = 1 - 0.0228 = 0.9772.

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Answer:

a=41  b=-9

Step-by-step explanation:

By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.

Answer from Gauth math

Answer:

Hello,

Step-by-step explanation:

We are going to use identification of terms.

\(5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\\)

Produced by myself

The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

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Answer: the angels are equivalent too 90 degrees so I am guessing it’s m

I am not sure so check it to make sure I am not wrong .

Answer:

A. y=2x-9

Step-by-step explanation:

A. Parallel lines have the same slope. That means the line y=2x+3 has the same slope as any line parallel to it. So the slope is 2.

Using m=2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

The system of equation is a + c = 29 , 10a + 6c = 222.

We can use the given information to create a system of equations as follows:

The first equation represents the total number of people attending the zoo:

a + c = 29

The second equation represents the total amount of money paid for admission:

10a + 6c = 222

We use 10a to represent the total cost of admission for adults, and 6c to represent the total cost of admission for children, since adults pay $10 and children pay $6.

Therefore, The system of equation :

a + c = 29

10a + 6c = 222

We can use these equations to solve for the values of a and c, which represent the number of adult and child admissions, respectively.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.

The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.

The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.

In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..

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Answer: 24/28

Step-by-step explanation:

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

The smallest value of the level of significance for which each explanatory variable is significant individually is 0.001, which is option B.

In multiple regression analysis, the significance of each explanatory variable is determined by its p-value. The p-value for each variable tells us whether that variable is statistically significant or not. A p-value less than the level of significance (alpha) indicates that the variable is statistically significant. In this problem, the p-value for Income is 0.0000, which is less than any of the given options for alpha, indicating that Income is significant. Similarly, the p-value for Size is 0.0020, which is less than 0.010 but greater than 0.001, indicating that Size is also significant. Therefore, the smallest value of alpha for which both variables are individually significant is 0.001, which is option B.

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Answer:

111.1666667 is the answer I believe (๑・ω-)～♥”

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

The correct answer choice:

The student would be able to afford the in-state cost for one year at a public 2-year college.

The correct option is D.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A student is planning to attend college in 5 years.

The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

The total savings,

= 1200 + (50 x 60)

= $4200

That is equivalent to the cost of one year at a public 2-year college.

Therefore, the saving amount is equivalent to the cost of one year at a public 2-year college.

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The table shows the cost per year of attending different types of colleges.

A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

Based on this information about the student's plan, which statement about the possible choices for a college is true?

Answer choices

The student would be able to afford the cost for one year at a private 4-year college.

The student would be able to afford out-of-state cost for half a year at a 4-year public college.

The student would be able to afford in-state cost for half a year at a public 4-year college.

The student would be able to afford in-state cost for one year at a public 2-year college.

Answer:

3.04

Step-by-step explanation:

The sales tax rate is either 6.625% or 0.06625 as a decimal fraction.

To calculate the sales tax on this bill, multiply 45.89 by 0.06625:  3.04

The tax would be 3.04.

Next time please use the dollar sign ($).

Answer:

Gloria's answer is correct

Step-by-step explanation:

Yes, Gloria's answer is correct. In the inequality r > 7, the ">" symbol indicates that the solution consists of all values of r that are greater than 7.

To represent this on a number line graph, an open dot is placed at 7 to indicate that 7 itself is not included in the solution. Then, an arrow extending to the right is drawn to indicate that the values continue indefinitely in the positive direction, without any specific endpoint.

This graph accurately represents the solution to the inequality r > 7, indicating that r can take any value greater than 7 but not including 7 itself.

Answer:

answer is X= 175

Step-by-step explanation:

all you had to do is to get rid off both 5 on left which would leave you with x and on right side the answer to 35×5 is 175

If you need to paint your house, you estimate how much paint you will need. Like 4 gallons or whatever.

Let's use x to represent the cost of one orange and y to represent the cost of one lemon. We can then set up a system of two equations:16x + 13y = 9.29 19x + 6y = 9.05 These equations represent the total cost of buying a certain number of oranges and lemons in two different scenarios.

To understand why we need two equations, let's consider the first equation: 16x + 13y = 9.29

This equation tells us that if we buy 16 oranges and 13 lemons, the total cost will be $9.29. But we don't know the individual prices of oranges and lemons yet. That's where the second equation comes in: 19x + 6y = 9.05

This equation tells us that if we buy 19 oranges and 6 lemons, the total cost will be $9.05. Again, we don't know the individual prices yet.

By setting up a system of equations, we can solve for x and y, which represent the prices of oranges and lemons, respectively.

One way to solve this system is by elimination. We can multiply the first equation by 19 and the second equation by -16, which will allow us to eliminate y:

304x + 247y = 176.51
-304x - 96y = -144.8

Adding these two equations together gives: 151y = 31.71
Dividing both sides by 151, we get: y = 0.21
Now we can substitute this value of y into one of the original equations to solve for x. Let's use the first equation:
16x + 13(0.21) = 9.29
16x + 2.73 = 9.29
16x = 6.56
x = 0.41

So the cost of one orange is $0.41 and the cost of one lemon is $0.21.

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Answer:

12.17secs

Step-by-step explanation:

Given the equation that models the height as y=-16x^2+187x+93

The rocket will hit the groung at y = 0

The equation becomes;

0 =-16x^2+187x+93

16x^2-187x-93 = 0

Factorize

x = 187±√187²-4(16)(-93)/2(16)

x = 187±√34,969+5952/32

x = 187±√40,921/32

x = 187±202.29/32

x = 187+202.29/32

x = 389.29/32

x = 12.17secs

Hence the required time that t will take is 12.17secs

Step-by-step explanation:

1.2

area of triangle = ½ × base × height

so,

height = 5cm

base = 4cm

now,

→ 1/2 × 4 × 5

→ 2 × 5 = 10 cm²

therefore, area of the ∆AED is 10cm².

1.3

area of rectangle = l × b

length = 8cm

breadth/width = 5cm

now,

area of BCDE

→ 8 × 5 = 40 cm²

now,

area of,

→ ABCD = BCDE - ∆AED

→ ABCD = 40 - 10 = 30

therefore, required area of ABCD is 30cm².

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

the answer would be 1/8

Step-by-step explanation: