1. For breakfast, Harper can choose from oatmeal or scrambled eggs She can drink milk, orange juice, apple juice, or hot chocolate. Make a list, a table, or a tree diagram to represent the sample space.

Answer:

5.8 miles

Step-by-step explanation:

Remark

The total distance = 162.4

The total time = 28 days

Formula

Daily distance = Total distance / Total time

Solution

Daily distance = 162.4/28

Daily distance = 5.8 miles

Answer:

x-2= Reese's age

Martin and Lee are the same age (12), and 2 years older than Reese. So, to know how old Reese is, you have to subtract 2 from the ages of Martin and Lee. Hence, the equation, 'x-2', because 'x' can be substituted with Martin or Lee's age.

Answer:

x = 32 y = 28

Step-by-step explanation:

4 x 32= 128

2 x 28 = 56

128 + 56 = 184

In this case, Mr. A stated his age as 25 believing it to be true. However, his actual age was 27.

This is not a valid agreement. If the insurer has issued a policy, based on any misrepresentation, the insured has no right to claim under the policy.  A saw a newspaper advertisement regarding an auction sale of old furniture in Ontario.

Mr. A cannot file a suit for damages because the newspaper advertisement regarding the auction sale of old furniture in Ontario did not contain any guarantee or assurance to the effect that the auction would actually take place.

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The population in the study is the entire set of bottles of ketchup produced in the plant in the given year.

In the given scenario, the quality-control manager selects 100 bottles of ketchup filled on January 19 to assess the calibration of the filling machine. The population refers to the entire group or set of items that are of interest to the researcher. In this case, the researcher wants to evaluate the calibration of the filling machine for all bottles of ketchup produced in the plant throughout the given year.

Option A, which states that the population is all bottles of ketchup produced in the plant in the given year, is the correct choice. This option aligns with the objective of the study, which is to assess the calibration of the filling machine for all bottles of ketchup produced in the plant. The sample, on the other hand, refers to the subset of items that are selected from the population and used for analysis. In this case, the sample consists of the 100 bottles of ketchup that were randomly selected on January 19.

Options B and C are incorrect because they refer to the specific set of 100 bottles selected on January 19, which represents the sample, not the population. Option D is also incorrect because it refers only to the bottles produced on January 19, whereas the study aims to evaluate the calibration of the filling machine for all bottles produced throughout the given year. Therefore, the correct answer is option A, which represents the entire population of bottles of ketchup produced in the plant in the given year.

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Answer:

C.Tammy’s estimate is right, but the actual product should be 24.78.

Step-by-step explanation:

i took the assessment! thank you for your attention and i hope i helped!!

Answer:

the answer is C which is Tammy’s estimate is right, but the actual product should be 24.78.

Step-by-step explanation:

We cannot definitively say which of them is more likely to be accepted based solely on their exam scores. We can use z-scores to compare the performance of Kyle and Ryan.

For Kyle:

z-score = (x - mean) / standard deviation = (489 - 400) / 67 = 1.33

For Ryan:

z-score = (x - mean) / standard deviation = (39 - 35) / 2 = 2

Comparing the z-scores, we see that Ryan performed better relative to his peers than Kyle did. This is because Ryan's z-score of 2 is larger than Kyle's z-score of 1.33.

However, it's important to note that acceptance into a university is based on multiple factors, not just exam scores. Therefore, we cannot definitively say which of them is more likely to be accepted based solely on their exam scores.

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Answer:

\(22\)

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for \(?\):

\(\frac{28}{42}=\frac{?}{33}\) (divide corresponding sides)

\(\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}\)

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

$6.75

Step-by-step explanation:

Divide 33.75 by 5, they are $6.75 each

Answer:

2y=x

Step-by-step explanation:

To solve an inequation for x you have to follow the same procedure you follow when solving equations, with exception that when you multiply/divide by a negative number the direction of the inequality gets inverted.

So to solve the given inequelity for x, you have to pass "+49" to the other side of the expression. To do so, subtract it from both sides of the expression:

The result of the inequality is x > -21

Answer:

Choice E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

The identity can be proven using the identity: tan (A + B) = (tan A + tan B)/(1 - tan A tan B).

The identity "tan (x-y) + tan (y-z) + tan (z-x) = tan (x-y) tan (y-z) tan (z+x)" is not true for all values of x, y, and z. This is because the tangent function is not one-to-one, meaning that different inputs can result in the same output, and it can also be undefined for some inputs.

The identity can be proven true only in certain special cases where the tangent function is defined and one-to-one. For example, if x, y, and z are chosen such that x, y, and z are all acute angles, the identity can be proven using the identity: tan (A + B) = (tan A + tan B)/(1 - tan A tan B)

where A and B are angles.  Let's start with the definition of tangent:

tan A = sin A/cos A

Similarly,

tan B = sin B/cos B

Now, we can use the sum formula for sine and cosine:

sin (A + B) = sin A cos B + cos A sin B

cos (A + B) = cos A cos B - sin A sin B

Dividing the above two equations, we get:

tan (A + B) = (sin A cos B + cos A sin B) / (cos A cos B - sin A sin B)

Using the definition of tangent, we can simplify the above expression:

tan (A + B) = (tan A + tan B) / (1 - sin A sin B/cos A cos B)

Since sin A/cos A = tan A and sin B/cos B = tan B, we can simplify further:

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

However, this proof is quite involved and beyond the scope of this answer.

In general, it is recommended to use other methods, such as graphical visualization or trigonometric identities, to solve problems involving the tangent function.

Therefore, The identity can be proven using the identity: tan (A + B) = (tan A + tan B)/(1 - tan A tan B).

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To conduct a test of hypothesis with a small sample, we make an assumption that the population is normally distributed .

What is normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The normal distribution appears as a "bell curve" on a graph.

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5,761.28 square inches of space will require the mirror to take up on the wall when Loretta wants to put a circular mirror on a wall.

We can find the space that the mirror takes up on the wall by using the area of a circle. it is given by:

A = πr^2

where

A = area of a circle

r =radius of a circle

Given data

radius of the mirror = 23 inches

The area of the mirror is:

A = π(23)^2

= 1,661π

where assume π =3.14159:

A = 1,661(3.14159)

A = 5,761.28 square inches

Therefore, the mirror will take up approximately 5,761.28 square inches of space on the wall.

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Answer:

C5, [5]+, (55)

i think this is it but i might be wrong

Step-by-step explanation:

The number of students in the telescope club by $x$ and the number of students in the math club by $y$.

$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.

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Move all terms that don't contain \(y\) to the right side and solve.

Answer:

i thnk its a...but i could be wrong..

Step-by-step explanation:

Answer:

The answer should be B cuz it's different relationship

Step-by-step explanation:

Answer:

1. the slope of line shows how much each member pays )total amount) per class.

2. money payed

Step-by-step explanation:

1. slope shows how much (over time) gets payed, by the increasing of the slope.

2. since it doesn't start at the origin (0,0), that would he the membership fee, then the increasing amount is how much they pay each class.

Answer:

X = 60

Y = 50

Step-by-step explanation:

The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.

On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.

Answer:

You need to use the angles as a waypoint such as the one opposite b is equal to b then you need to use the angles on a straight line

Step-by-step explanation:

Answer:

∠A= 111.75°

Step-by-step explanation:

Please see the attached picture.

∠B +∠C= 180° (adj ∠s on a str. line)

(x +35)° +∠C= 180°

∠C= 180° -(x +35)°

∠C= 145° -x°

∠A= ∠C (corr. ∠s)

∠A= 145° -x°

Given that ∠A is (3x +12)°, equate this expression to the expression we found.

145° -x°= 3x° +12°

3x° +x°= 145° -12°

4x°= 133°

x°= 133° ÷4 (÷4 on both sides)

x°= 33.25°

Substitute the value of x back into the expression for ∠A:

∴∠A= 3(33.25°) +12°

∠A= 111.75°

Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

In the triangle, label the sides as follows:

Z: Hypotenuse

X: Adjacent

Y: Opposite

The ratios for angle A are as follows:

sin A = Opposite/Hypotenuse

cos A = Adjacent/Hypotenuse

tan A = Opposite/Adjacent

In the triangle with angle A measuring 55°, and side X measuring 16 units, we can use the sine ratio to find the value of x:

sin A = Opposite/Hypotenuse

sin 55° = x/16

Solving for x, we have:

x = 16 * sin 55°

x ≈ 13.06 (rounded to the nearest tenth)

In the triangle with side X measuring 8 ft and angle measuring 41°, we can use the cosine ratio to find the value of x:

cos A = Adjacent/Hypotenuse

cos 41° = x/8

Solving for x, we have:

x = 8 * cos 41°

x ≈ 6.06 (rounded to the nearest degree)

In the triangle with sides measuring 7 and 22 units, we can use the Pythagorean theorem to find the value of x:

x² = 7² + 22²

x² = 49 + 484

x² = 533

x ≈ 23.09 (rounded to the nearest unit)

The information provided is incomplete. Please provide the missing details to solve for x.

Note: The figures are not drawn to scale.

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The factored form of the given equation as found by calculating is known to be,  (12x + 4)(x - 1) .

The given equation is 12x² - 8x - 4 , now in order to get the factors we will factorize the expression.

  12x² - 8x - 4

= 12x²  -12x + 4x -4

= 12x( x - 1) +4( x - 1 )

= (12x + 4)(x - 1)

Therefore, the factors of the given equation is found to be as ,

x = 1 or -4 / 12.

Factorizing is a process by which we find the factors of a given number. The factor of a number is made up of prime numbers . Prime numbers are the numbers which are only divisible by 1 or by the  number itself.

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Step-by-step explanation:

(8*4):2 + 4=

32:2+4=

16+4=20

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

Answer:

Pi is the least, then the square root of 10 and then 3.5

Step-by-step explanation:

pi is 3.14, square root of 10 is 3.16 and then 3.5