If EF = 5x, FG = 10, and EG = 10x, what is EF?
geometry

Answer:

175

Step-by-step explanation:

As a result, the probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.

Probabilistic theory is a branch of mathematics that evaluates the probability of a certain occurrence or proposition occurring or being true. A danger is a number in the range between 0 and 1, whereas 1 signifies certainty and a probability of around 0 reflects how likely an event seems to be to occur. Probability seems to be a mathematical function for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences between equally as likely possibilities that result in a specific event.

The probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is as follows:

As a result, the odds of selecting a jack from the remaining cards are 4/51.

The product of these probabilities is the likelihood of selecting a 7 and a jack in sequence:

P(7) = P(7) x P(jack|7 not picked) = 4/52 x 4/51

When we simplify this expression, we get:

P(Jack and 7) = 16/2652

As a result, the likelihood of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.

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Answer:

Step-by-step explanation:

If x is the white dot on the graph:

From what it looks like, x is right between -35 and -34 x (which is -35.5).

If that is the case then none of the answers are correct since -35.5 is equal or less than x. (the sign looks like this:  "\(\leq\)" )

But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

Answer:

.I would like to help but....!!!!

there is no diagram!

\(\cfrac{34}{75}\div \cfrac{51}{100}\implies \cfrac{34}{75}\cdot \cfrac{100}{51}\implies \cfrac{34}{51}\cdot \cfrac{100}{75}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}\)

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Hey there!

Your answer is \(-4x+7\)

Here are the steps to solve:

Given:

\(-5x-(x-7)\)

Distribute negative sign:

\(-5x+x+7\)

Add like terms:

\(-4x+7\)

Have a great day! Hope it helped!

Answer:

The points are at 0,-1 and 0.333, 0

Step-by-step explanation:

The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

x - 2y = -2

To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.

If x = 0, we have:

0 - 2y = -2

y = -2/-2 = 1

if x = 1 then:

1 - 2y = -2

1 + 2 = 2y

3 = 2y

3/2 = y

Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:

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Answer:

E

Step-by-step explanation:

AP Classroom says so.

The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Suppose we have:

Then, we get:

\(Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}\)

If the level of significance = \(\alpha\)critical value of Z is: \(Z_{\alpha/2}\), and if \(Z > Z_{\alpha/2}\)null hypothesis, else if \(Z_{\alpha/2} > Z\) then we cannot reject it.

For this case, we want to know if  the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.

Thus, we get our hypotheses as:

Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:

\(H_0: \hat{p}_1 \leq \hat{p}_2\)

Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:

\(H_a: \hat{p}_1 > \hat{p}_2\)

The test is single tailed.

For this case, we have:

Thus, we get:

\(Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976\)

At 0.01 level of significance (\(\alpha = 0.01 = 1\%\)), we get the critical value of Z from z-tables as:

\(Z_{\alpha/2} = 2.576\)

Since \(Z_{\alpha/2} > Z\) , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01

At 0.05 level of significance (\(\alpha = 0.05 = 5\%\)), we get the critical value of Z from z-tables as:

\(Z_{\alpha/2} = 1.96\)

Since \(Z_{\alpha/2} > Z\) , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05

At 0.10 level of significance (\(\alpha = 0.10 = 10\%\)), we get the critical value of Z from z-tables as:

\(Z_{\alpha/2} = 1.645\)

Since \(Z_{\alpha/2} > Z\) , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10

Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.

Thus, we deduce that: Option E: There is not convincing statistical evidence

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Answer:

It's in the attachment

hope it helps...

have a great day!!

2.63 is the value or quotient of 616/265 using long division.

We have to find the value of 616/265

In the given division the numerator is a dividend and the number in the denominator is a divisor.

616 is the dividend and 265 is the divisor.

When we perform long division the quotient will be 2.63 which is the require value.

       2.63  

____________

265 | 616

-530

______

860

-795

______

650

-530

______

120

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The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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The magnitude of the complex number -10 + 24i is 26.

We have,

Complex numbers can be represented as a combination of a real number and an imaginary number, in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1.

Now,

To find the magnitude of a complex number, we take the square root of the sum of the squares of its real and imaginary parts.

For -10 + 24i, the real part is -10 and the imaginary part is 24.

So the magnitude:

| -10 + 24i | = √((-10)^2 + (24)^2) = √(100 + 576) = √676 = 26

Therefore,

The magnitude of -10 + 24i is 26.

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For this problem, we are given a parallelogram and its measurements. we need to determine the area for the parallelogram.

The area of a parallelogram is given by:

The area for this parallelogram is:

The area of the parallelogram is equal to 6 square feet.

Now we need to divide the parallelogram into two triangles and determine their areas.

In order to divide the parallelogram into two parts, we need to draw the diagonal of the parallelogram, this will create two equal triangles, one with vertices ADC and the other with vertices ABC. We also need to determine the area of these triangles, since the diagonal divides the parallelogram in half, the area of each triangle is equal to half the area of the parallelogram. The area of each triangle would be 3 square feet.

Answer:

54

Step-by-step explanation:

Step 1: Multiply 40 by 135.

Step 2: Move the decimal point two places to the left.

Therefore, the number that's 40% of 135 is 54.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Hey there! :)

Answer:

To graph y = -3x - 2, we can start by solving for some points. Plug in x values for x in the equation to solve for the y value:

X                   Y

-2                  4

-1                    1

0                   -2

1                     -5

2                    -8

Use these points to graph the line (Graphed below)

Given:

To find:

The solutions.

Explanation:

Here,

Using quadratic formula,

Thus, the solution is,

Final answer:

The correct option is D.

Answer:

$12

Step-by-step explanation:

Answer

a = 200 + 0.5 (200) = $210

Step-by-step explanation:

Answer:

162 red marbles, 78 black marbles

Step-by-step explanation:

The ratio of red marbles to black marbles is 27 to 13. We have:

\(27r + 13r = 240\)

\(40r = 240\)

\(r = 6\)

So we have 27(6) = 162 red marbles and 13(6) = 78 black marbles.

Answer:

\(\boxed{9}\)

Step-by-step explanation:

The two angles are complementary to each other.

That means they add up to 90 degrees.

\(5x+15+30=90\)

\(5x+45=90\)

\(5x=45\)

\(x=9\)

Answer:

x = 9

Step-by-step explanation:

So you know that the total is 90 degrees.

What you need to do is create an equation.

5x + 15 + 30 = 90

Then, solve the equation like this.

5x + 15 + 30 = 90

5x + 45 = 90

5x = 90 - 45

5x = 45

x = 45 ÷ 5

x = 9

Hope this helps! :)

Answer:

0.61

Step-by-step explanation:

probability is out of 100 so if you do 100-39

you get 61