Which is the solution of
the quadratic equation (4y - 3)2 = 72?

Answer:

Step-by-step explanation:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

1/10

0.1

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Each pizza Remy can feed 4 people.

Remy has 5 pizzas.

4x5=20

Answer: 15

Step-by-step explanation:

223 / 26

8 reminder 15

he has to put the remainder in the box

Answer:

Volume of a cube = l³

where l is the length of the side of the cube

From the question

l = 2x²y

Therefore

Volume = (2x²y)³

= 8x^6y³

Hope this helps

The expression that represents the volume of the cube is 8x⁶y³

The formula for calculating the volume of a cube is expressed as;

Volume of a cube = s³

where s is the side length of the cube

Given that s = 2x² y.

Substitute the given value into the formula as shown;

Volume of the cube = (2x² y)³

Volume of the cube = 2³(x²)³y³

Volume of the cube = 8x⁶y³

Hence the expression that represents the volume of the cube is 8x⁶y³

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Answer:

1500 grams

Step-by-step explanation:

The probability that a daughter of an unaffected father and a mother who carries the dmd allele will develop the disease is 50 percent.

One from each parent, a girl receives the two X chromosomes. The daughters therefore have a 50% chance of acquiring the mutation and developing into carriers. Sons without DMD won't be carriers, but daughters without the condition will.

Carriers will always run the risk of giving birth to a child who carries the mutation or the disease, even if they don't show any symptoms of it themselves.

What is DMD?

Duchenne muscular dystrophy (DMD) is a genetic disorder characterized by progressive muscle degeneration and weakness caused by changes in a protein called dystrophin, which aids in the maintenance of muscle cells. DMD is one of four types of dystrophinopathies.

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Answer:

The answer is A

Step-by-step explanation:

because the angle in the circle is a central angle the angle is the same value as the arc.
Hope this helps!!

The probability of running out of water decreases.

The given problem can be solved by using the concept of the normal distribution. Normal distribution, also called Gaussian distribution, is a probability distribution that occurs naturally in many situations. In this distribution, data values cluster around a central point, and the further away a value is from the center, the less likely it is to occur. The normal distribution has two parameters: the mean (μ) and the standard deviation (σ). The mean is the center of the distribution, and the standard deviation is a measure of how spread out the distribution is. The normal distribution is symmetric about the mean. It is a continuous distribution, meaning that it can take any value between negative infinity and positive infinity. The area under the normal curve represents the probability of a random variable taking a certain value or falling within a certain range of values. The total area under the normal curve is equal to 1.
Given:
The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter).
You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water.
What is the probability that you will run out?
We need to find the probability that the amount of water consumed by 10 people will be greater than 35 Liters. Let X be the random variable representing the amount of water consumed by each person. X is normally distributed with mean μ = 3 Liters and standard deviation σ = 1 Liter.
Then, the total amount of water consumed by 10 people is given by the sum of 10 independent identically distributed (i.i.d.) random variables:
Y = X1 + X2 + ... + X10
where X1, X2, ..., X10 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 35 Liters. Therefore, you will run out of water if:
Y > 35
or equivalently:
(Y - μ10) / σ10 > (35 - μ10) / σ10
where μ10 = 10μ = 30 Liters and σ10 = √(10)σ = √(10) Liters.
Thus, the probability that you will run out of water is:
P(Y > 35) = P[(Y - μ10) / σ10 > (35 - μ10) / σ10]
= P(Z > (35 - μ10) / σ10)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (35 - μ10) / σ10) = P(Z > (35 - 30) / √10)
= P(Z > 1.5811)
= 0.0564 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 10 people is 0.0564.
What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out?
In this case, the number of people has doubled, so the total amount of water consumed will also double. Thus, the total amount of water consumed by 20 people is given by:
Y = X1 + X2 + ... + X20
where X1, X2, ..., X20 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 70 Liters. Therefore, you will run out of water if:
Y > 70
or equivalently:
(Y - μ20) / σ20 > (70 - μ20) / σ20
where μ20 = 20μ = 60 Liters and σ20 = √(20)σ = 2.2361 Liters.
Thus, the probability that you will run out of water is:
P(Y > 70) = P[(Y - μ20) / σ20 > (70 - μ20) / σ20]
= P(Z > (70 - μ20) / σ20)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (70 - μ20) / σ20) = P(Z > (70 - 60) / 2.2361)
= P(Z > 4.4721)
= 0 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 20 people is zero.

Will the probability of running out of water increase or decrease? Why?

The probability of running out of water decreases when the number of people increases and the amount of water brought doubles. This is because the total amount of water consumed increases proportionally to the number of people, but the standard deviation of the distribution of the amount of water consumed decreases proportionally to the square root of the number of people. This means that the distribution of the total amount of water consumed becomes narrower and more concentrated around the mean as the number of people increases.

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The measure of the angle indicated is 154 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

There are intersecting chords on the circle

Using teh equation of intersecting chords, we have

S = 1/2 * Sum of the intersecting arcs

substitute the known values in the above equation, so, we have the following representation

121 = 1/2 * (? + 88)

So, we have

? + 88 = 242

Evaluate

? = 154 degrees

Hence, the measure of the angle indicated is 154 degrees

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

91.00

Step-by-step explanation:

I got you

Answer:

The data set is:

S = {4.5, 4.5, 4.5, 4.5, 6, 8, 10, 12, 13.5, 13.5, 13.5, 13.5}

Step-by-step explanation:

Consider the ordered data set:

S = {4.5, 4.5, 4.5, 4.5, 6, 8, 10, 12, 13.5, 13.5, 13.5, 13.5}

The lower extreme is: 4.5

The upper extreme is: 13.5

The median for an even number of observations is the mean of the middle two values.

\(\text{Median}=\frac{6^{th}+7^{th}}{2}=\frac{8+10}{2}=9\)

The first quartile (Q₁) is defined as the mid-value between the minimum figure and the median of the data set.

Q₁ = 4.5

The 3rd quartile (Q₃) is the mid-value between the median and the maximum figure of the data set.

Q₃ = 13.5

A box plot that has no whiskers has, Range = Interquartile Range.

Compute the range as follows:

\(Rangw=Max.-Min.=13.5-4.5=9\)

Compute the Interquartile Range as follows:

\(IQR=Q_{3}-Q_{1}=13.5-4.5=9\)

Thus, the box pot for the provided data has no whiskers.

Answer:    53.213

Step-by-step explanation:

The Surface area of the largest gift box will be 45.375 square inches.

The surface area of the largest gift box, we need to determine the edge length of the largest box and then calculate its surface area.

Given:

The first box has an edge length of 2.5 inches.

Each larger box has an edge length increasing by ⅛ inch.

To determine the edge length of the largest box, we need to know how many times the edge length increases by ⅛ inch. Since we are making three boxes in total, the edge length increases twice.

Edge length of the largest box = 2.5 inches + 2 * (⅛ inch)

                               = 2.5 inches + 2 * 0.125 inches

                               = 2.5 inches + 0.25 inches

                               = 2.75 inches

Now that we know the edge length of the largest box is 2.75 inches, we can calculate its surface area.

Surface area of a cube = 6 * (edge length)^2

Substituting the edge length:

Surface area of the largest box = 6 * (2.75 inches)^2

                             = 6 * (2.75 inches * 2.75 inches)

                             = 6 * (7.5625 square inches)

                             = 45.375 square inches

Therefore, the surface area of the largest gift box will be 45.375 square inches.

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Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5+5=10

Answer:

1/4 cup of blueberries is left.

Step-by-step explanation:

7/8 - (3/8 + 2/8)

7/8 - 5/8 = 2/8 or simplified 1/4

Helping in the name of Jesus.

The objective function to be minimized is F = (a)² + (b)², subject to the constraint equation (a)³ − (3a)² + (3a) − 1 − (b)² = 0. By solving the Lagrange equation, we can determine the values of a and b that correspond to the local minima.

To find the local minima of the objective function F subject to the given constraint equation, we set up the Lagrange equation: L(a, b, λ) = F - λ(c),

where λ is the Lagrange multiplier and c is the constraint equation. In this case, we have:

L(a, b, λ) = (a)² + (b)² - λ((a)³ − (3a)² + (3a) − 1 − (b)²).

Next, we find the partial derivatives of L with respect to a, b, and λ, and set them equal to zero:

∂L/∂a = 2a - 3λ(a)² + 6λa - 3λ = 0,

∂L/∂b = 2b + 2λb = 0,

∂L/∂λ = (a)³ - (3a)² + (3a) - 1 - (b)² = 0.

Solving these Lagrange equation will give us the values of a, b, and λ that correspond to the local minima of the objective function F.

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Answer:y=x/4

Step-by-step explanation:y=x/4

Answer:

0.5833333.......

Step-by-step explanation:

All you have to do is divide 7 by 12. The fraction 7/12 is equal to 7 ÷ 12.

7 ÷ 12 = 0.583... (repeating 3)

Or if you round, you have 0.58.

The value of the smaller number (x) is approximately 6.67 (rounded to two decimal places).

To solve this problem, let's call the smaller number x and the larger number y.
According to the given information, the sum of the two numbers is 20, so we can write the equation: x + y = 20.
It is also given that one of the numbers (y) is twice the other number (x).

In equation form, we can write: y = 2x.

To find the value of the smaller number (x), we can substitute the value of y from the second equation into the first equation:
x + 2x = 20
Combining like terms, we get:
3x = 20
Dividing both sides by 3, we find:
x = 20/3
So, the value of the smaller number (x) is approximately 6.67 (rounded to two decimal places).

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Answer:

Step-by-step explanation:

let the number of hours be x

and, total number of income be y

therefore, for every hour he works he makes $30 more.

the equation would be,

y=30x

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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Step-by-step explanation:

23.60/8 = 2.95

therefore, one duck cost $2.95

hope this answer helps you dear!

Answer:

2.95$

Step-by-step explanation:

23.60 ÷8 =2.95$

can buy 8 ducks for $23.60,

how much does each duck cost?

Answer:

Trevon is 15

Step-by-step explanation:

If Issac is 5 years older than Trevon, and the ratio is 4:3, then we can multiply one or both of them to be compared by.

If Issac is 10, for example, then Trevon would be 5, giving a 2:1 ratio

When we multiply the ratio, we eventually see a point where Issac's (first number) age is 5 more than Trevon's (second number) age:

( 4:3 ) 3 = 12:9
( 4:3 ) 4 = 16:12
( 4:3 ) 5 = 20:15

Issac is 20 and Trevon is 15

There's probably an easier way to solve problems like these but this was what came to mind at first hope this helps

Answer:

Trevon is 15

Step-by-step explanation:

let Trevon's age be x then Issac is x + 5

the ratio of Issac : Trevon = 4 : 3

set up a proportional equation

\(\frac{Issac}{Trevon}\) , that is

\(\frac{x+5}{x}\) = \(\frac{4}{3}\) ( cross- multiply )

4x = 3(x + 5)

4x = 3x + 15 ( subtract 3x from both sides )

x = 15

So Trevon is 15 and Issac is x + 5 = 15 + 5 = 20

Answer:6/8 ,36/48, 30/40 ,9,12 and etc

Answer:

6/8, 9/12, 12/16

Step-by-step explanation:

Answer:

its a and c

Step-by-step explanation:

on khan

The numbers -0.3 and 1/6 are greater than the given number.

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

The given decimal number is -0.33.

A) -0.3 is greater than -0.33

B) -3/9 = -0.33

Here, -3/9 is equal to -0.33

C) 1/6 =0.16

Here, 1/6 is greater than -0.33.

Therefore, the option A and option C are correct answers.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following numbers are greater than -0.33?

Choose all that apply:

A. -0.3

B. -3/9

C. 1/6