What is 36 over 45 in simplest form

Answer: b, c, e

\(\frac{7}{3}=\frac{7}{3}.\frac{2}{2}=\frac{7.2}{3.2}=\frac{14}{6}\\\\\frac{7}{3}=\frac{7}{3}.\frac{3}{3}=\frac{7.3}{3.3}=\frac{21}{9}\\\\\frac{7}{3}=\frac{7}{3}.\frac{4}{4}=\frac{7.4}{3.4}=\frac{28}{12}\)

( 3/3 = 2/2 = 4/4 = 1)

Step-by-step explanation:

Answer:

4.6 is your awnser hope this helps

Answer:

101 sq. ft

Step-by-step explanation:

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

0.00004

Step-by-step explanation:

\(\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\\)

\(\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]\)

Answer:

27 is your answer hope it helps

It would take the test administrator 48 seconds to allow for the performance of the task

So, if we want 97.5 percent, we must look it up in our z table. So I need to find the z score that is closest to.975, which is 1.96.

The 97.5th percentile point of the standard normal distribution is a quantity often used in probability and statistics for statistical computations. This figure is around 1.96, which means that 95% of the area under a normal curve is within 1.96 standard deviations of the mean.

As a result, the z score for the 97.5th percentile would be multiplied by the class standard deviation. As a result, we obtain;

1.96*6 = 11.76

Then, this new time gotten would be added to the first mean of the class,

As a result, we have 36+11.76 = 47.76 which is approximately 48

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The possible approximate lengths of b are: 2.3 units and 7.8 units

We know that the law of sines for triangle is:

The ratios of the length of all sides of a triangle to the sine of the respective opposite angles are in proportion.

This means, for triangle ABC,

\(\frac{sin~ A}{a} =\frac{sin~B}{b} =\frac{sin~ C}{c}\)

where a is the length of side BC,

b is the length of side AC,

c is the length of side AB.

For triangle ABC consider an equation from sine law,

\(\frac{sin~ A}{a} =\frac{sin~ C}{c}\)

here, c = 5.4, a = 3.3, and m∠A = 20°

\(\frac{sin~ 20}{3.3} =\frac{sin~ C}{5.4}\\\\\frac{0.3420}{3.3} =\frac{sin~ C}{5.4}\)

0.3420 × 5.4 = 3.3 × sin(C)

sin(C) = 0.5596

∠C = arcsin(0.5596)

∠C = 34.03°  OR 145.9°

∠C ≈ 34° OR 146°

We know that the sum of all angles of triangle is 180 degrees.

so, ∠A + ∠B + ∠C = 180°

when m∠C = 34°,

20° + ∠B + 34.03° = 180°

∠B = 125.97°

m∠B = 126°

when m∠C = 146°,

20° + ∠B + 146° = 180°

m∠B = 14°

Now consider equation,

\(\frac{sin~ A}{a} =\frac{sin~ B}{b}\\\\\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 126^{\circ}}{b}\)

b × 0.3420 = 0.8090 × 3.3

b = 7.8 units

when m∠B = 14°,

\(\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 14^{\circ}}{b}\)

b × 0.3420 = 0.2419 × 3.3

b = 2.3 units

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The complete question is:

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

In ΔABC, c = 5.4, a = 3.3, and measure of angle A = 20 degrees. What are the possible approximate lengths of b? Use the law of sines to find the answer.

2.0 units and 4.6 units

2.1 units and 8.7 units

2.3 units and 7.8 units

2.6 units and 6.6 units

Answer:

16 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.40÷2.55=94%

Probability of choosing a vanilla protein bar is 1/3 and probability that he will choose vanilla today and chocolate chip tomorrow is 1/6

The total number of protein bars in the box is:

7 + 3 + 5 = 15

The probability of choosing a vanilla protein bar is:

P(vanilla) = 5/15 = 1/3

b) Since Matt is choosing one protein bar at a time, the probability of choosing vanilla today and chocolate chip tomorrow is:

P(vanilla today and chocolate chip tomorrow) = P(vanilla) x P(chocolate chip) = (1/3) x (7/14) = 1/6

Here, we assume that Matt replaces the protein bar he chose on the first day before choosing again on the second day, and that the probabilities of choosing each flavor remain the same.

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The major variable in this statistics class is considered a nominal variable.

The major variable is considered a nominal level of measurement because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

In other words, the values assigned to different majors (e.g. Engineering, English, History) do not represent numerical quantities or differences.

The level of measurement of a variable determines the type of statistical analyses that can be conducted with that variable. In this case, the major variable is considered a nominal variable because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

Nominal variables are often used to categorize or group data based on non-numeric characteristics, such as gender, race, or occupation. By collecting data on both GPA and major, the statistics instructor can explore relationships between these variables, such as whether certain majors tend to have higher or lower GPAs.

In conclusion, the major variable in this statistics class is considered a nominal variable.

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Answer:

It depends if you pick a D or a T for P(not a vowel)

Answer:

12.5%

Step-by-step explanation:

To change a decimal to a percent, you have to multiply it by 100. Mika should multiply 0.125 by 100 and that should give her 12.5% :)

Answer:

Mika changed the fraction to a decimal by dividing. Now she can change the decimal to a percent by moving the decimal two places to the right and adding a percent sign.

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below.

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ -2 }{ 3 } \implies - \cfrac{ 2 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- \cfrac{ 2 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=-\cfrac{2}{3}x+5 \end{array}}\)

Answer:

Step-by-step explanation:

To find 5e. El change, find the difference between week 1 and 1.

56.92-(-16.54) = 56.92+16.54 = -73.46.

Note: this is negative, because we are calculating the difference.

Hope this helps

Answer:

Function 1

Step-by-step explanation:

I got it correct on khan academy

The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.

Let the two coordinate on the line p of the function 2 on the graph.

( x₁ , y₁ ) = (-4, -6)

(x₂ , y₂ ) = ( 4 ,-8 )

Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value in the formula we get,

Slope of line p = ( -8 + 6 ) / ( 4 + 4 )

                         = -2/8

                        = -1/4

Slope of the function 1

y = -(1/4)r -5

When r = 8 ⇒ y = -7

r = -8 ⇒ y = -3

( x₁ , y₁ ) = (8, -7)

(x₂ , y₂ ) = ( -8 ,-3 )

Slope of the function 1  = ( -3 + 7 ) / ( -8  - 8 )

                         = 4/ -16

                        = -1/4

Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.

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Using proportions, it is found that she makes 4.125 cups of salad dressing.

A proportion is a fraction of a total amount.

In this problem, she makes 3 batches, each with 8 fluid ounces of oil and 3 fluid ounces of vinegar, that is, each with 11 fluid ounces, hence she used 3 x 11 = 33 fluid ounces.

Since each fluid ounce is equivalent to 0.125 cups.

33 x 0.125 = 4.125.

She makes 4.125 cups of salad dressing.

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SOLUTION

Consider the graph shown:

From the graph the equation is:

Therefore the approximate equation is:

Substitute x=4 into the equation:

Answer:

674

Step-by-step explanation:

Answer:

woah woah woah woah calm down there buddy its 674 :)

We assume that the outcomes of successive trials in a binomial experiment are c) identical from trial to trial.

The correct answer is:

c. identical from trial to trial

In a binomial experiment, the outcomes of successive trials are assumed to be identical from trial to trial. This means that each trial has the same probability of success or failure, and the outcome of one trial does not affect the outcome of the subsequent trials. Each trial is considered independent and does not depend on the previous or future trials.

Option a is incorrect because the outcomes in a binomial experiment are not random numbers between 0 and 1. They are discrete outcomes, usually represented as success or failure, or yes or no.

Option b is incorrect because the outcomes in a binomial experiment are assumed to be independent, not dependent. The probability of success or failure in one trial does not affect the probability in subsequent trials.

Option d is incorrect because it mistakenly states that the outcomes are probabilistically independent. The correct term is "independent," without the term "probabilistically."

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The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:

p1q1 + p2q2 = Y

Substituting the given values:

2q1 + 1q2 = 100

We can rewrite this as:

q2 = (100 - 2q1) / 1

Now, let's maximize Diogo's utility function:

U(q1, q2) = q1^0.2 * q2^0.8

Substituting the expression for q2:

U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8

To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:

dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0

Simplifying the equation:

0.2[(100 - 2q1) / q1]^0.8 = 0.8

[(100 - 2q1) / q1]^0.8 = 4

Taking both sides to the power of 1/0.8:

(100 - 2q1) / q1 = 4^(1/0.8)

Solving for q1:

100 - 2q1 = 4^(1/0.8) * q1

100 = (4^(1/0.8) + 2) * q1

q1 = 100 / (4^(1/0.8) + 2)

Calculating the value of q1:

q1 ≈ 12.77

Now we can substitute this value back into the budget constraint to find q2:

2q1 + q2 = 100

2(12.77) + q2 = 100

25.54 + q2 = 100

q2 = 100 - 25.54

q2 ≈ 74.46

Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

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Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

m = 4

As ABCD is similar to QRST.

All sides of ABCD are same. So, all sides of QRST are also same.

Answer:

4

Step-by-step explanation:

Since QRST ~ ABCD,

QT = 4

which makes

RS= 4

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Proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Given, mean (μ) = 266 days and standard deviation (σ) = 16 days.

Let X be the length of pregnancies, then X follows the normal distribution with mean (μ) = 266 and standard deviation (σ) = 16.

We need to find the probability that a pregnancy lasts fewer than 276 days i.e. P(X < 276).

To find this probability, we standardize the variable X using the standard normal distribution formula:

z = (x - μ) / σ

where z is the standard normal random variable.

Substituting the given values, we get:

z = (276 - 266) / 16 = 0.625

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 0.625 is approximately 0.7340.

Therefore, the proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Explanation: This means that out of 100 pregnancies, around 73 pregnancies will last fewer than 276 days.

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1.4

2.8

3.7 by 10

*Others do by your self*

Step-by-step explanation:

1. 3×4/3= 4

2.⅖×20=8

3.6/5×7/18=7/15

4.10/7×9/5=18/7= 2 4/7. Mixed Fraction

5.4/15×25/8=5/6

6.6×¾= 9/2= 4 1/2. Mixed Fraction

Answer:

The measure of angle a is 43 degrees.

Step-by-step explanation:

Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.

Answer: 43°

Step-by-step explanation:

The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90

We now have 90 + 47 + a = 180

137 + a = 180

a = 43