A company responsible for making gumballs found that their gumballs had an average diameter of 2. 21 cm and a standard deviation of 0. 01 cm. What is the percentage of gumballs that are within standard deviations of the mean?

Answer:

b

Step-by-step explanation:

because its alternation

The option (C) Corresponding trigonometric ratios are equal is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a statement:

Which of the following is true about similar right triangles?

As we know from the definition the two triangles have the same shape, but it is not compulsory to have the same size.

The ratio of the corresponding sides is in the same proportions

The corresponding trigonometric ratios are equal.

Thus, the option (C) Corresponding trigonometric ratios are equal is correct.

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Answer:

D

Step-by-step explanation:

We just need to swap x and g(x) to get:

x = -3 / g(x) - 4

x + 4 = -3 / g(x)

g(x) * (x + 4) = -3

g(x) = -3 / (x + 4)

Answer:

D

Step-by-step explanan

g-1(x)= -3/x+4

Got it right on the test

Answer:

6.14

Step-by-step explanation:

The required area would be 6.14 m²

I hope I helped you

Answer:

6.14m^2

Step-by-step explanation:

Maybe this will help you..

the exact value of x, so that the greatest possible amount of light is admitted is 3.92 ft.

let x represents the radius of a semicircle, thus the width of the rectangle = 2x, length be y.

perimeter of the rectangular window = πx + 2y + 2x = x(π +2) + 2y

it is given that the perimeter is 28 ft.,

28 = x(π +2) + 2y

y = 28 - x(π +2) / 2

the area of the window A = 1/2 πx² = 2yx ( area of semicircle + area of rectangle)

A = 1/2 πx² + 2x [(28 - x(π +2) / 2]  (Substituting the value of y)

A = 1/2 πx² + 28x - πx² - 2x²

A = 28x - x² ( 2 + π/2 )

The maximum value of x is when dA/dx = 0

A' = 28- 2x ( 2 + π/2 )

2x ( 2 + π/2 ) = 28

x ( 2 + π/2 ) = 14

x = 3.92 ft

hence the value of x so that the greatest possible amount of light is admitted is 3.92 ft.

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(complete question)

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 28 ft, find the value of x so that the greatest possible amount of light is admitted.

m1 = 5 and m2 = 5

Two lines are said to be parallel if their gradients are equal.

Analysis:

Line L1 is already in the form y = mx +c which is y = 5x + 1

line L2 is not in the form y = mx + c,  so we write it in that form.

2y -10x  + 3 = 0

2y = 10x -3

y = 10x/2 - 3/2

y = 5x + 3 -3/2

the gradient m1 of line L1 is the coefficient of x which is 5.

the gradient m2 of line L2 is the coefficient of x which is 5.

In conclusion, The both lines are parallel since their gradients are equal.

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The value of sinθ is -15/17

From the question, we have

the point (8, -15) is on the terminal side of an angle \(\theta\).

the point (8, -15) lies in the fourth quadrant

Using Pythagoras theorem,

hypotenuse = √(8² + 15²) = 17

Sine ratio is the ratio of perpendicular side to hypotenuse side.

sinθ = -15/17

Addition:

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.

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Answer:

C

Step-by-step explanation:

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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No, milliliters (mL) and centiliters (cl) are not the same units of measurement. They are both units of volume, but with different scales.

A milliliter (mL) is a unit of volume in the metric system, equal to one-thousandth of a liter (1 mL = 0.001 L). Milliliters are commonly used to measure the volume of liquids, such as medicine or cooking ingredients.

A centiliter (cl) is also a unit of volume, and it is equal to one hundredth of a liter (1 cl = 0.01 L). Centiliters are less commonly used than milliliters and are generally used in the same contexts where milliliters are used.

In conclusion, mL and cl are different units of volume and cannot be used interchangeably. Milliliters are smaller units than centiliters, so when converting between the two, a conversion factor of 10 must be used. For example, 1 cl = 10 mL.

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Answer:

Step-by-step explanation:

(a) Here is a tree diagram to model the situation:

                      P(red hair)=0.025

                      /            \

        P(brown eyed | red hair)=0.22    P(not brown eyed | red hair)=0.78

        /                                       \

P(brown eyed | not red hair)=0.65      P(not brown eyed | not red hair)=0.35

(b) The probability that a randomly selected person is brown eyed is equal to the sum of the probabilities of being brown eyed given red hair and being brown eyed given not red hair, weighted by the probabilities of having red hair and not having red hair:

P(brown eyed) = P(brown eyed | red hair) * P(red hair) + P(brown eyed | not red hair) * P(not red hair)

= 0.22 * 0.025 + 0.65 * (1 - 0.025)

= 0.6385

Therefore, the probability that a randomly selected person is brown eyed is approximately 0.6385, or 63.85%.

(c) The probability that a randomly selected person has red hair given the person selected isn't brown eyed can be calculated using Bayes' theorem:

P(red hair | not brown eyed) = P(not brown eyed | red hair) * P(red hair) / P(not brown eyed)

To calculate the denominator, we need to use the law of total probability, which states that the probability of an event is equal to the sum of the probabilities of that event given each possible condition:

P(not brown eyed) = P(not brown eyed | red hair) * P(red hair) + P(not brown eyed | not red hair) * P(not red hair)

= 0.78 * 0.025 + 0.35 * (1 - 0.025)

= 0.3685

Substituting this and the other given probabilities into Bayes' theorem, we get:

P(red hair | not brown eyed) = 0.78 * 0.025 / 0.3685

≈ 0.0529

Therefore, the probability that a randomly selected person has red hair given the person selected isn't brown eyed is approximately 0.0529, or 5.29%.

(d) The probability that a sample of 20 people will have at least 1 person with red hair can be calculated using the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event of interest is that none of the 20 people have red hair, so the probability of this event happening is:

P(none have red hair) = (1 - 0.025)^20

≈ 0.3585

Therefore, the probability that at least 1 person in the sample has red hair is:

P(at least 1 has red hair) = 1 - P(none have red hair)

≈ 0.6415

So, the probability that a sample of 20 people will have at least 1 person with red hair is approximately 0.6415, or 64.15%.

Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

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We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.

We can break apart the figure as shown below:

Answer:

a because it is the one that makes the most sense

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answer:

Area = 1936

Side = root 1936

Side = 44

Perimeter = 4 × side

Perimeter = 4 × 44 = 176 m

A relation ~ on R' is defined as a relation where (a,b) ~ (c,d) if and only if a3+b3=c3+d3. This relation is transitive but not symmetric.

Transitivity of the relation states that if (a, b) ~ (c,d) and (c, d) ~ (e, f) then (a, b) ~ (e, f). This means that if a3+b3=c3+d3 and c3+d3=e3+f3 then a3+b3=e3+f3, thus, the relation is transitive.

Symmetry of the relation means that if (a, b) ~ (c, d) then (c, d) ~ (a, b). This, however, does not hold in this relation since it is possible for a3+b3=c3+d3 and yet c3+d3≠a3+b3. For example, (1,2) ~ (8,4), this is true since 13+23=83+43, however, this does not mean that (8,4) ~ (1,2) since 83+43≠13+23. Therefore, this relation is not symmetric.

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Answer:

1/6

Step-by-step explanation:

There are 6 large squares here, all of which have been shaded but for one.

Thus, the desired fraction is 1/6.

Answer:

the answer is in the above attachment

hope this helped

Answer:

  5 5/6 yards

Step-by-step explanation:

You want the perimeter of a rug that is 2 yards by 11/12 yards.

The formula for the perimeter of a rectangle is ...

  P = 2(L+W)

Using the given values, we find the perimeter to be ...

  P = 2(2 yd + 11/12 yd) = 4 22/12 yd = 5 5/6 yd

The perimeter of the rug is 5 5/6 yards.

Answer:

C. producer

Step-by-step explanation:

producers are plants and they provide food and shelter for small animals and stuff.

Answer:

x

Step-by-step explanation:

To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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\( \sqrt{84} = 2 \sqrt{21} \)

Thus the first one is the correct answer...

Done.....♥️♥️♥️♥️♥️

Answer:

6 4/9

Step-by-step explanation:

Answer:

6 4/9

Step-by-step explanation:

i hope this help have a nice day

The distribution that can be fully described by its expected value and standard deviation is the Normal distribution, option (a).

The Normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric and bell-shaped. It is characterized by two parameters: the mean (expected value) and the standard deviation. The expected value represents the center or average of the distribution, while the standard deviation measures the dispersion or spread of the data around the mean.

In a Normal distribution, the expected value and standard deviation uniquely determine the shape of the distribution. The expected value determines the location of the peak or center, while the standard deviation determines the width of the distribution. Once these two parameters are known, the entire distribution can be described.

Other probability distributions may also have an expected value and standard deviation, but they may not fully describe the distribution. For example, the expected value and standard deviation of a probability distribution may provide some information about the central tendency and variability, but they may not be sufficient to determine the complete shape of the distribution.

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The system of inequalities has been solved graphically and one possible solution is buying 4 apples and 12 peaches.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of apples purchased and number of peaches purchased by Alang and his children, and then translate the word problem into algebraic equation as follows:

Since apples for $2 each and peaches for $0.50 each, the cost of fruits is given by:

2x + 0.5y ≤ 20

Also, they must buy a minimum of 16 apples and peaches altogether:

x + y ≥ 16

Therefore, a possible solution when x = 4 is given by:

x + y ≥ 16

4 + y ≥ 16

y ≥ 16 - 4

y ≥ 12

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Answer:

\(Final\ Price = \$ 3299.00\)

Step-by-step explanation:

Given

\(Original\ Price =\$4299.00\)

\(Discount = \$900\)

\(Rebate = \$100\)

Required

Determine the final price

If all discounts are taken, the final price is:

\(Final\ Price = Original\ Price - Discount -Rebate\)

This gives:

\(Final\ Price = \$ 4299.00 - \$900 - \$100\)

\(Final\ Price = \$ 3299.00\)