7 2 14 3 8 11 5 each time a card is picked it is replaced estimate the expected number of even numbers picked in 35 picks

Answer:

a= -12 and b=36

Step-by-step explanation:

a+b=24 and 3a+b

a-3a+b=24

-2a+b-b=24

-2a/-2=24/-2

a= -12

then substitute the value of a in a+b=24 to get the value of b

so let see -12+b=24

b=24+12

b=36

we can check it by the equation -2a+b-b=24

-2(-12)+36-36=24

24=24 so as you have seen the answer is correct

thanks!!!

Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. she must mix a second batch using the same ratio of blue and yellow paint as the first batch. C: Anita should use 4.5 ounces of yellow paint for the second batch.

The first batch of green paint was created by mixing 2 ounces of blue paint with 3 ounces of yellow paint, which means that the ratio of blue to yellow paint was 2:3. Anita needs to use the same ratio of blue to yellow paint for the second batch, but she is using 5 ounces of blue paint this time. To determine how much yellow paint she needs, we can use the same ratio:

2:3 = 5:x

We can cross-multiply to solve for x:

2x = 15

x = 7.5

Therefore, Anita needs to use 7.5 ounces of yellow paint for the second batch. However, the answer choices do not include this exact amount, so we need to look for the closest option. Option C states that she should use 1.5 times the amount of yellow paint used in the first batch, which would be:

1.5 x 3 = 4.5

Therefore, Anita should use 4.5 ounces of yellow paint for the second batch, which is the closest option to the exact amount calculated.

Anita should use 4.5 ounces of yellow paint for the second batch, based on the same ratio of blue to yellow paint used in the first batch. Option C is the correct answer.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

a prediction

Step-by-step explanation:

because they don't KNOW it rained they are just assuming

I'm assuming the given log equation is \(\log_{\text{x}}(49) = \text{x}\)

If so, then the exponential form is \(\text{x}^{\text{x}} = 49\)

This is because the general form \(\log_{\text{b}}(\text{x}) = \text{y}\) transforms into \(\text{y} = \text{b}^{\text{x}}\)

For both equations, the 'b' is the base.

Step-by-step explanation:

You can find the area of a right triangle the same as you would any other triangle by using the following formula:

A = (1/2)bh, where A is the area of the triangle, b is the length of the base and h is the height of the triangle; However, with a right triangle, it's much more convenient in finding its area if we utilize the lengths of the two legs (the two sides that are shorter than the longest side, the hypotenuse and that are perpendicular to each other and thus form the right angle of the right triangle), that is, since the two legs of a right triangle are perpendicular to each other, when we treat one leg as the base, then, consequently, we can automatically treat the length of the other leg as the height, and if we initially know the lengths of both legs, then we can then just plug this information directly into the area formula for a triangle to find the area A of the right triangle.

For example: Find the area of a right triangle whose legs have lengths of 3 in. and 4 in.

Make the 4 in. leg the base. Since the two legs of a right triangle are perpendicular to each other, then the length of the other leg is automatically the height of the triangle; therefore, plugging this information into the formula for the area of a triangle, we have:

A = (1/2)bh

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

= (1/2)(12 in.²)

A = 6 in.² (note: in.² means square inches)

Answer:

9

Step-by-step explanation:

You substitute 9 for x and 9 - 3 = 6

I hope it helps! Have a great day!
Muffin ^^

Answer:

9

Step-by-step explanation:

Add 3 to the 6 and that will get rid of the 3. You will get 9.

x - 3 = 6

x -3 + 3 = 6 + 3

x = 9

Have an amazing day!

PLEASE RATE!

False. A p-value for correlation that is measurably critical implies that it's far improbable that the found correlation is because of irregular possibility alone.

In various words, a measurably critical p-value demonstrates that there's a genuine affiliation or relationship between the two variables being examined. however, measurable importance doesn't be guaranteed to imply causation or a strong correlation, and it is practical that various components or variables might be contributing to the decided correlation.

It's far crucial to interpret factual importance inside the context of the exploration question and investigate the plan and recollect different factors like impact length, sample length, and capacity confounding variables.

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The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Answer:

\(3x^2+4x+8\)

Step-by-step explanation:

To find the value of \(7x^2+6x+9-4x^2-2x-1\)

We need to combine like terms by grouping

\(7x^2-4x^2+6x-2x+9-1\)

= \(3x^2+4x+8\)

Hope this helps :)

Have a great day!

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Hi there!

\(\large\boxed{k = 95}\)

Use PEMDAS:

Evaluate inside of parenthesis:

(264 + 3 × 7)

Multiply:

(264 + 21)

Add:

285

Divide by 3:

285 ÷ 3 = 95

Answer:

Step-by-step explanation:

Inside parenthesis two operations ( + and  *) are there. First multiplication has to done and then add

\(k =\frac{(264+ 3*7)}{3}\\\\=\frac{(264+21)}{3}\\\\=\frac{285}{3}\\\)

Now divide by 3

k = 95

First thing you need to do is to find out the yearly depreciation amount:

Annual depreciation = (Cost of truck - Residual value) / Useful life

= (28,000 - 3,000) / 5

= $5,000

At the end of 3 years, the value of the truck would be:

= Cost of truck - (Depreciation amount x number of years)

= 28,000 - (5,000 x 3)

= $13,000

If the truck was bought on April 12, only depreciation by the number of days left in that year:

= Annual depreciation / Number of days in a year x Number of days left in the first year

= 5,000 / 365 x 263

= $3,602.74

In conclusion, the truck will be worth $13,000 in 3 years.

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The percentage of fan items that will have at least one defect is 65%. This means that out of all the fan items sent for refurbishing, 65% will have either a mechanical defect, an electrical defect, or both.

Let's denote event A as "fan item has a mechanical defect" and event B as "fan item has an electrical defect." We are interested in finding P(A or B), which represents the probability that a fan item will have at least one defect.

Using the principle of inclusion-exclusion, we can calculate P(A or B) as follows:

P(A or B) = P(A) + P(B) - P(A and B)

Given that 40% had mechanical defects (P(A) = 0.40), 50% had electrical defects (P(B) = 0.50), and 25% had both defects (P(A and B) = 0.25), we can substitute these values into the equation.

P(A or B) = 0.40 + 0.50 - 0.25 = 0.65

Therefore, the percentage of fan items that will have at least one defect is 65%. This means that out of all the fan items sent for refurbishing, 65% will have either a mechanical defect, an electrical defect, or both.

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Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

Answer:

When we write a point, we do it like this: (x, y), that means, the first number  

refers to the x-axis component and the second one to the y-axis.

We have the point (-3,2), so x = -3 and y = -2, so if we need to calculate the shortest distance from it to the x-axis, we only need to pick the x (which is -3)

The distamce from -3 to 0 is |0-3| = 3.

The correct answer is b

The unexplained variation, also known as residual variation or residual error, refers to the variability or differences between the observed values and the predicted values from a regression line. It represents the portion of the dependent variable that cannot be explained or accounted for by the independent variable(s) in the regression model.

In words: The unexplained variation is the variability in the dependent variable that remains after considering the effects of the independent variable(s). It represents the random or unpredictable factors that influence the dependent variable but are not captured by the regression model.

In symbols: The unexplained variation is denoted by the term ε (epsilon) or the residual. It can be calculated as the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) obtained from the regression line. Mathematically, it can be represented as ε = y - ŷ, where ε denotes the unexplained variation, y represents the observed value, and ŷ represents the predicted value from the regression line.

The unexplained variation is an important aspect in regression analysis as it helps to assess the goodness-of-fit of the model and identify any remaining sources of variability that are not accounted for by the independent variable(s).

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d) there must be at least 30 trials.

Answer:

20-12

35-21

40-24

Step-by-step explanation:

You times both numbers by the same value

Answer:

1st is 12

2nd is 35

3rd is 40

Step-by-step explanation:

Answer:

we are here, where have you been...???

Answer:

im at ur frien joe's house

Step-by-step explanation:

12 books divided by 8 months = 1.5 books per month

hope it helps:))

An action is considered optional when one is morally permitted to perform it, but it is not obligatory or wrong. This encompasses the concepts of permissibility and supererogation.

Option (e) "all of the above" is the correct answer. An action is considered optional when it satisfies multiple conditions. Firstly, it is neither obligatory nor wrong, meaning there is no moral or ethical requirement to perform or abstain from the action. This implies that the action is not morally mandated or prohibited.

Secondly, an optional action is one that a person is morally permitted to perform but is not obligated to do so. It falls within the realm of permissibility, meaning that there are no moral constraints that prevent or condemn the action. It is within the individual's discretion to choose whether or not to engage in the optional action.

Lastly, an optional action can also be categorized as supererogatory. Supererogatory actions go beyond what is morally required and involve acts of virtue, charity, or selflessness. These actions are praiseworthy but not obligatory. They reflect acts of goodness and go above and beyond the call of duty.

In conclusion, an optional action satisfies the conditions of being morally permitted, neither obligatory nor wrong, permissible, and potentially supererogatory.

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Answer:

∠ EFH = 112°

Step-by-step explanation:

∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus

11x - 20 = 9x + 4 ( subtract 9x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Thus

∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°

Answer:

\(s^{5} t^{3} \sqrt[3]{20t^{2} }\)

Step-by-step explanation:

Im going to assume you just need it simplified because that is what it normally is.

\(\sqrt[3]{20s^{15}t^{11} }\)

\(\sqrt[3]{s^{15} }\)\(\sqrt[3]{t^{9} }\) \(\sqrt[3]{20t^{2} }\)

\(s^{5}\sqrt[3]{t^{9} } \sqrt[3]{20t^{2} }\)

\(s^{5} t^{3} \sqrt[3]{20t^{2} }\)

Answer:

Below in bold.

Step-by-step explanation:

y = 2x²-4

First find x in terms of y:

2x² = y - 4

x² = (y - 4)/2

x = √ [(y - 4)/2]

Now replace x by the inverse f-1(x) and y by x:

f-1(x) = √ [(x - 4)/2]  (Note: it's the positive square root only)

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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The greater the redshift, the faster the galaxy is moving away.

The astronomer observes a galaxy's spectrum with an oxygen spectral line at 525 nm, deviating from the laboratory value of 513 nm. By applying the Doppler effect equation, the velocity of the galaxy relative to Earth can be determined. The observed shift in wavelength indicates that the galaxy is moving away from Earth. This is because the wavelength is longer than the laboratory value, implying a redshift. The greater the redshift, the faster the galaxy is moving away. Therefore, the calculated velocity will reflect the speed at which the galaxy is receding from Earth.

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Answer:

The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.

Step-by-step explanation: