Covert 9 cubic meters to cubic feet nearest tenth

To determine the percentage of Sara's students who answered at least half of the quiz questions incorrectly, we need more information than the relative cumulative frequency of students who earned a score of 21 or higher.

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The fractional inches of 120 mm is 4 3/4 inches.

Converting millimeter (mm) to fractional inches is a matter of rounding to the nearest 16th of an inch, since this is how far inches are broken down on rulers. The conversion factor between inches and mm is 25.4.

To find 120 mm in fractional inches -

1. We will first divide 120 mm by 25.4 to get the inches in decimal form.

2. Take the decimal portion of the result of Step 1 and multiply it by 16. The point is to determine the nearest 16th of an inch on a ruler.

= 120 mm/ 25.4

= 4.7244 inches.

Now, we will multiply the decimal portion of the above i.e., 0.7244 inches with 16.

= 0.7244 x 16

= 11.5904

Now, we will round this to 12/16, or 3/4 as it is close to 12 and ruler is of 16 inches.

The result, therefore, is 4 3/4 inches.

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The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Step-by-step explanation:

2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :

1. support post (14ft), post to back (b), the long roof line

2. front to post (f), support post (14ft), dotted line

so, because the multiplication factor is the same for the sides, the ratio

"support post" / f

must be the same as

b / "support post"

14 / f = b / 14

b = 14²/f = 196/f

and then we know that

f + b = 53

by putting the first into the second equation we get

f + 196/f = 53

f² + 196 = 53f

f² - 53f + 196 = 0

the solution of such a quadratic equation in general is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = f

a = 1

b = -53

c = 196

f = (53 ± sqrt(53² - 4×1×196))/(2×1) =

= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =

= (53 ± 45)/2

f1 = (53 + 45)/2 = 98/2 = 49

f2 = (53 - 45)/2 = 8/2 = 4

as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.

therefore, the support post is positioned 4ft from the front of the house.

Answer:

3 weeks

65 dollars

Step-by-step explanation:

Alright to answer this question we have to set up an equation. For greg the equation is y=13x+26 and for lucy the equation is y=10x+35. y is total amount of money saved and x is number of weeks. Since we want them to each of the same amount of money we set up the equations to be 10x+35=13x+26

then we want to get the constant and the variables alone on different sides of the equal sign so we first subtract 26 from each side to get 10x+9=13x. next we want to subtract 10x from each side and then we end up with 3x=9. Finally we divide 3 from each side to get x=3, We have answered the question to how many week it will take them to save the same amount of money but not the other part. To find out how much money they will both have in 3 weeks we plug in 3 to x. 10(3)+35 which is equal to 65. They will both have 65 dollars in three weeks

Answer:

  B.  False

Step-by-step explanation:

You want to know if it is true that when each of seven persons in a group shakes hands with each of the other six persons, a total of forty-two handshakes occurs.

The count of 42 handshakes includes every one of 7 shaking hands with each of the remaining 6, without regard to whether they met before.

The count will include A shaking hands with B, and B shaking hands with A. That handshake will be counted twice, so the number 42 overstates the actual number of handshakes by a factor of 2.

It is false that there will be 42 handshakes. (There will be only 21.)

Answer:

C

Step-by-step explanation:

The domain is the left side of the table

Answer:

.1

Step-by-step explanation:

Answer:

That is correct

Step-by-step explanation:

A linear function which has the same y-intercept of 5 as the one that is represented by the graph is: table 1.

Mathematically, the slope of any linear function can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

At points (-3, -4) and (-1, 2), the slope of the line is given by:

Slope, m = (2 + 4)/(-1 + 3)

Slope, m = 6/2

Slope, m = 3.

Note: The y-intercept of the line shown on the graph is 5.

At points (-3, -4), the y-intercept of this line can be calculated by using the slope-intercept form:

y = mx + c

Where:

Making y-intercept (c) the subject of formula, we have:

y-intercept, c = y - mx

y-intercept, c = -4 - 3(-3)

y-intercept, c = -4 + 9

y-intercept, c = 5.

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Complete Question:

Which linear function has the same y-intercept as the one that is represented by the graph?

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

Answer:

6

Step-by-step explanation:

the x-intercept is where the line crosses the x-axis

Answer: D

Step-by-step explanation:

Edgen 2023

Answer:

\(\implies x^2+y^2-4x -6y+9=0\)

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

\((x-h)^2 +(y-k)^2 =r^2\)

Plugging the values of h, k and r in the above equation, we find:

\((x-2)^2 +(y-3)^2 =2^2\)

\(\implies x^2-4x +4+y^2-6y+9=4\)

\(\implies x^2+y^2-4x -6y+4+9=4\)

\(\implies x^2+y^2-4x -6y+9=0\)

This is the required equation of the circle.

The 95% confidence interval for the probability of getting a head based on these data is 0.542 to 0.943. Since 0.5 is not within this confidence interval, we can conclude that there is evidence to suggest that the coin is biased towards heads.

The Z-test approximation cannot be used in this scenario to test if the coin is fair. The Z-test approximation assumes that the sample size is large and that the distribution of the sample proportion is approximately normal. In this case, we only have 12 coin flips, which is a small sample size. Therefore, we need to use an exact test to determine if the coin is fair.

To conduct the exact test, we can use a binomial test. The null hypothesis is that the probability of getting a head is 0.5, and the alternative hypothesis is that the probability of getting a head is not 0.5. Using R, we can perform the binomial test as follows:

```R
binom.test(10, 12, p = 0.5)

# Output:
# Exact binomial test
#
# data:  10 and 12
# number of successes = 10, number of trials = 12, p-value = 0.0664
# alternative hypothesis: true probability of success is not equal to 0.5
# 95 percent confidence interval:
#  0.5423661 0.9431805
# sample estimates:
# probability of success
#              0.8333333
```

The p-value obtained from the binomial test is 0.0664. Since the p-value is greater than 0.05 (assuming a significance level of 0.05), we do not have sufficient evidence to reject the null hypothesis. Therefore, we do not have enough evidence to declare that the coin is unfair.

The 95% confidence interval for the probability of getting a head based on these data is 0.542 to 0.943. Since 0.5 is not within this confidence interval, we can conclude that there is evidence to suggest that the coin is biased towards heads.

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Answer:

-7.2

Step-by-step explanation:

Since -3.2 is the first number, this will be the starting point in the number line.

Since we are subtracting, we are going to go 4 units to the left.

-3.2 - 4 = -7.2

Best of Luck!

Answer:

-7.2

Step-by-step explanation:

Roses are red

Violets are blue

I hate Edgenuit y

and so do you

Given:

Number of winter coats = 2

Number of hats = 4

Number of scarves = 3

To find:

The total number of different outfit combinations.

Solution:

Number of winter coats is 2. So, the number of ways to select a winter coat from 2 coats is 2.

Number of hats is 4. So, the number of ways to select a hat from 4 hats is 4.

Number of scarves is 3. So, the number of ways to select a scarf from 3 scarves is 3.

So, the total number of ways is:

\(2\times 4\times 3=24\)

Therefore, Helen have 24 different outfit combinations.

Answer:

Circumcenter

Step-by-step explanation:

The locus of points equidistant from two points is the perpendicular bisector of the line segment connecting the points. The circumcenter is the point of concurrency of the three perpendicular bisectors of the sides of a triangle.

Answer:

Step-by-step explanation:

I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.

The regression equation for Y is: ŷ = -0.223X + 20.523

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Sum of X = 15

Sum of Y = 99.27

Mean X = 3

Mean Y = 19.854

The sum of squares (SSX) = 10

The sum of products (SP) = -2.23

Regression Equation = ŷ = bX + a

b = SP/SSₓ = -2.23/10 = -0.223

a = My - bMₓ = 19.85 - (-0.22*3) = 20.523

ŷ = -0.223X + 20.523

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Answer:

multiply total weight by unit cost

8.8 x 2.09 = 17.765 = $17.77

Step-by-step explanation:

Answer:

TC(x) = ($2.09/lb)(8.5 lb) = $17.77

Step-by-step explanation:

The total cost is the product of (unit price) and (number of pounds):

TC(x) = ($2.09/lb)(8.5 lb) = $17.77

Answer:

C is correct

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Answer:

3.14 inches squared

Step-by-step explanation:

\(Area=\pi r^{2}\)

If the diameter is 2 inches, the radius is 1 inch

Area = (3.14)(1x1)

Area=3.14

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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The 40th term of the sequence is 35 if the nth term is given as -5 + n.

Given,

nth term, aₙ = - 5 + n or n - 5

For 40th term n = 40

or 40th term = a₄₀ = 40 - 5

a₄₀ = 35

Therefore, the 40th term of the sequence is 35, if the nth term is given as -5 + n.

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The raw score which is the score separating the bottom 42% from the top 58% is 183.32.

The given variable is a normal distribution variable.

Mean of the variable is given by = µ = 164.8

Standard deviation of the variable is given by = s = 92.6

Let the p42 or the score separating the bottom 42% from the top 58% be x.

z = (x - 164.8)/92.6

So, P(Z < z) = 0.42

We know that normal distribution table that P(Z < -0.21) = 0.42

So, z = - 0.21

(x - 164.8)/92.6 = 0.21

x - 164.8 = 0.21*92.6

x - 164.8 = 18.52

x = 18.52 + 164.8

x = 183.32

Hence the required raw score will be 183.32.

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Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

The measure of ∠BOD = ∠AOC = 90 since opposite angles of a parallelogram are equal. m∠cab = m∠cdb as they are corresponding angles since AC ∥ DB.

To find ∠BOD, we can use the fact that opposite angles of a parallelogram are equal. Since AC ∥ DB, we have:

∠BOD = ∠AOC

Now, we can use the fact that the sum of angles in a triangle is 180 degrees to find ∠AOC:

∠AOC = 180 - ∠CAB - ∠CDB

∠AOC = 180 - 35 - 55

∠AOC = 90

Therefore, we have:

∠BOD = ∠AOC = 90

So, ∠BOD is a right angle.

To compare m∠cab and m∠cdb, we can use the fact that corresponding angles are equal when two parallel lines are intersected by a transversal. Since AC ∥ DB, we have:

m∠cab = m∠cdb

Therefore, the measures of the two angles are equal.

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_____The given question is incomplete, the complete question is given below:

Line segments AB and CD intersect at O such that AC ∥ DB. It ∠CAB = 35 and ∠CDB= 55. Find ∠BOD. Compare m∠cab and m∠cdb from question 1. how are the measures of the two angles related?

Answer:

9/11 = 7/9

Step-by-step explanation:

9 are chocolate

27 - 16 = 11

7 are vanilla

20:16

Step-by-step explanation:

9 chocolate

7 vanilla

11 strawberry

9+11=20, 9+7=16

Answer:

Yes

Step-by-step explanation:

The numbers both multiplied by 10

3 -6

30-60