what is the unit of measure for roll batt insulation? what is type of information should be noted on the estimate?

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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The sketch of the graph of the linear function y = -2x - 4 is added s an attachment

From the question, we have the following parameters that can be used in our computation:

y = -2x - 4

The above equations is an illustration of a linear function that has been transformed using the following

Next, we plot the graph using a graphing tool

The graph of the linear function is added as an attachment

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To convert 72 feet per day to a different unit, we can use unit conversion factors:

1 day = 24 hours

1 hour = 60 minutes

1 foot = 12 inches

So, we can set up the following calculation:

72 feet/day × (1 day/24 hours) × (1 hour/60 minutes) × (12 inches/1 foot) = 0.1 inches/minute

Therefore, the converted rate is in units of inches per minute.

Answer: (4) inches/minute

Answer: -12ab^3

Step-by-step explanation: (-3ab^3) 4 -12ab^3

The length of the skateboard ramp is approximately 0.63 feet when the height is 2 feet and the angle of elevation is 18°. This solution provides a simple example of how basic trigonometry can be used to solve problems involving angles and distances.

The problem concerns finding the length of a skateboard ramp given its height and angle of elevation. The height is provided as h = 2 feet, and the angle of elevation is given as 18°.

To solve this problem, we first recognize that the angle of elevation refers to the angle between the horizontal and the line-of-sight to the top of the ramp. We can think of this angle as being formed by a right triangle with the base along the ground, the height corresponding to the vertical rise in the ramp, and the hypotenuse representing the length of the ramp.

Using trigonometry, we know that the tangent of an angle is equal to the ratio of the opposite side over the adjacent side. In this case, we can use the tangent function to find the length of the hypotenuse c, since we know the height h and the angle of elevation:

tan(18°) = h/c

Rearranging this equation to solve for c, we get:

c = h / tan(18°)

Substituting h = 2 feet into this formula and evaluating the tangent of 18° using a calculator, we get:

c ≈ 0.63 feet

Therefore, the length of the skateboard ramp is approximately 0.63 feet when the height is 2 feet and the angle of elevation is 18°. This solution provides a simple example of how basic trigonometry can be used to solve problems involving angles and distances.

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Answer:

$78

Step-by-step explanation:

To find a portion of anything, you just multiply your first item by the equivalent decimal of your percent. Let's put it into action in this problem:

If your original price of your bike is $130, and you are trying to find the sale price, which is 60% (aka 0.6) of your original price. Now, like I previously mentioned, to find the portion of your price, you just want to multiply your OG price (130) by the decimal equivalent of your sale, (0.6). So 130*0.6=78

Answer:

FV= $4,948.16

Step-by-step explanation:

Giving the following information:

Number of periods (n)= 10

Interest rate (i)= 2.15% compound interest annually

Present value (PV)= 4,000

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 4,000*(1.0215^10)

FV= $4,948.16

Answer:

366.5191425 rad/s

Step-by-step explanation:

9.5492965964254 ÷ 3500

hope this helps :)

Answer:

366.5191425 rad/s

Step-by-step explanation:

It took a while to solve this

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

the answer is 6.

g+6>75

The exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.

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Answer:

\(\frac{11}{8}\)

Step-by-step explanation:

→ State the gradient formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Find x₁ , x₂ , y₁ and y₂

x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20

→ Substitute in the values

\(\frac{20-9}{12-4}\)

→ Simplify

\(\frac{11}{8}\)

Answer:

A. 315 degree

B. 6480 degree

C. 63^ over 2

D. 7^ over 4

E. 945 degree

hope it help:)

Answer:

1) x = 12.2

3) x = 21.7

5) x = 17.9

7) x = 31.8

Step-by-step explanation:

Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)

1) 10^2 + 7^2 = x^2

100 + 49 = x^2

149 = x^2

x = sqrt 149 which is about 12.2

3) 16^2 + x^2 = 27^2

256 + x^2 = 729

x^2 = 473

x = sqrt 473 which is about 21.7

5) 9^2 + x^2 = 20^2

(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)

81 + x^2 = 400

x = sqrt 319 which is about 17.9

7) 16^2 + y^2 = 22^2 (y is the height of the triangle)

256 + y^2 = 484

x = sqrt 228

(sqrt 228)^2 + (44-16)^2 = x^2

228 + 784 = x^2

x^2 = sqrt 1012 which is about 31.8

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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Answer:

The number is 17 or (-3)

Step-by-step explanation:

Let the number be x

Subtracts 7,

x - 7

squares the result, and gets 100

(x - 7)² = 100

x² - 14x + 49 = 100

x² - 14x - 51 = 0

x² + 3x - 17x - 51 = 0

x(x + 3) - 17(x + 3) = 0

(x - 17) (x + 3) = 0

x = 17 or (-3)

Here,

We assumed Hiroshi's number would be x,

So,

17 - 7 = (10)² = 100

(-3) - 7 = (-10)² = 100

Thus, Hiroshi's number is 17 or (-3)

Answer:

5 weeks

Step-by-step explanation:

$18 / week

goal is $90

18x = 90

90/18 = 5

18(5) =90

It will take him 5 weeks to save enough money to buy the skateboard

Answer:

A) All positive real numbers.

Step-by-step explanation:

Money can only be real numbers/decimals

And because your adding it can't be negative.

Answer:

D

Step-by-step explanation:

This is a real world situation, meaning that there will be no negative amount if weeks, This rules out B and C. As all the numbers are whole, there is no reason for the answer to be all positive real numbers making the answer D.

There are 344 ways of selecting one representative who is either a mathematics major or a computer science major when there are 19 mathematics majors and 325 computer science majors in a college.

SOLUTION:

We will have to apply the rule of sum.

The rule of sum is a basic counting technique that is used to count the total number of possible outcomes when there are multiple options available.

Using this rule, we can calculate the total number of ways of selecting one representative who is either a mathematics major or a computer science major as follows:

Number of ways of selecting a mathematics major = 19

Number of ways of selecting a computer science major = 325

Total number of ways of selecting one representative who is either a mathematics major or a computer science major

= Number of ways of selecting a mathematics major + Number of ways of selecting a computer science major

= 19 + 325= 344

Therefore, there are 344 ways of selecting one representative who is either a mathematics major or a computer science major when there are 19 mathematics majors and 325 computer science majors in a college.

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Angle ZXY inscribes the arc ZY, so we can use the following relation to calculate the measure of arc ZY:

Now, to find the measure of arc XZ, we can add all arcs and make the sum equal to 360° (complete circle):

The simplified form of the expression 9y - 7(x - y) - x is

C. 8(2y - x

Simplifying the equation is completed as follows

9y - 7(x - y) - x

opening the parentheses

9y - 7x + 7y - x

combine like terms

(9y + 7y) + (-7x - x)

Simplifying further

16y - 8x

rearranging

8(2y - x).

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Answer:It should be 49.365

Step-by-step explanation:

Answer:

the answer is 49.365

Step-by-step explanation:

because if you line the decimals up and just add normal

hope this helped

\(\huge\begin{array}{ccc}A=75ft^2\end{array}\)

The formula:

\(\huge\boxed{A=l\cdot w}\)

\(l\) - length of a rectangle

\(w\) - width of a rectangle

\(l=25ft,\ w=30ft\)

substitute:

\(A=25\cdot30=750ft^2\)

There are 1,860,480 ways to give out the books to the students over the five consecutive days.

To find the number of ways to give out the books, we can consider the problem as a permutation problem.

On the first day, any one of the 20 students can receive a book. So, there are 20 choices for the first book.

On the second day, any one of the remaining 19 students can receive a book. So, there are 19 choices for the second book.

Similarly, on the third, fourth, and fifth days, there are 18, 17, and 16 choices respectively.

To find the total number of ways, we multiply the number of choices for each day:

Total number of ways = 20 * 19 * 18 * 17 * 16

Calculating this expression gives us:

Total number of ways = 1,860,480

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The dotplot of the simulation results and the sample of 10 buses provides convincing evidence that the true probability of a bus running off schedule is more than the claimed 10%. The data suggests that it is most likely for exactly one bus out of 10 to be running off schedule, and there is a low probability of 5 or more buses being off schedule.

Based on the dotplot of the simulation results and the sample of 10 buses, we can draw the following conclusions:

The true probability that a city bus is running off schedule is more than 10%:

The simulation results show that the frequency of buses running off schedule is concentrated towards the higher end of the spectrum. The dotplot indicates that 5 buses running off schedule is a relatively unusual occurrence, which suggests that the true probability is higher than the claimed 10%.

There is about a 3% chance that 5 or more buses are running off schedule:

Looking at the dotplot, we can see that the frequency of 5 buses running off schedule is quite low, with only 2 occurrences out of the 100 trials. This indicates that it is unlikely for 5 or more buses to be running off schedule under the assumption that only 10% of buses run off schedule.

It is most likely that exactly one out of 10 buses is running off schedule:

The dotplot shows a peak in the frequency at 1 bus running off schedule. This suggests that one bus running off schedule is the most probable scenario among the 10-bus samples.

If we continued to take more samples of 10 buses, the center of the distribution would shift to 1:

Based on the dotplot, the distribution appears to be centered around 1 bus running off schedule. This indicates that as more samples of 10 buses are taken, the average number of buses running off schedule would tend to be closer to 1.

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Answer:

d

Step-by-step explanation:

13,166

Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.

Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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