suppose you roll a special 37-sided die. what is the probability that one of the following numbers is rolled? 35, 25, 33, 9, 19

Answer:

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

x + 20 = 50

→ x = 50 - 20

→ x = 30

Answer:

0.6524 = 65.24% probability that the runner will average between 146 and 150 minutes in these 49 marathons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 147 minutes with a standard deviation of 12 minutes.

This means that \(\mu = 147, \sigma = 12\)

Consider 49 of the races.

This means that \(n = 49, s = \frac{12}{\sqrt{49}} = \frac{12}{7} = 1.7143\)

Find the probability that the runner will average between 146 and 150 minutes in these 49 marathons.

This is the p-value of Z when X = 150 subtracted by the p-value of Z when X = 146. So

X = 150

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{150 - 147}{1.7143}\)

\(Z = 1.75\)

\(Z = 1.75\) has a p-value of 0.9599

X = 146

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{146 - 147}{1.7143}\)

\(Z = -0.583\)

\(Z = -0.583\) has a p-value of 0.3075.

0.9599 - 0.3075 = 0.6524.

0.6524 = 65.24% probability that the runner will average between 146 and 150 minutes in these 49 marathons.

Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  \(S.E = \frac{S.D}{\sqrt{n} }\)

                \(S.E = \frac{5.65}{\sqrt{52} } = 0.7835\)

The standard error of the sample mean  is approximately (S.E) = 0.7835.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =\(\sigma\)

Size of sample we're working on = n

Then, the standard error can be calculated as:

\(SE = \dfrac{\sigma}{\sqrt{n}}\)

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

\(= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140\)

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By using the formula for the distance we will see that the correct option is B:

√52

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

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Answer:

A = x^2 + 5x - 14

Step-by-step explanation:

A = L × W

A = (x+7) × (x-2)

A = x^2 + 7x - 2x - 14

y=55x is the expression for the amount of money obtained from the sale of x units of product.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Let sale of x units of product.

y=55x

The expression for the amount of money received from sale of x units of product is y=55x.

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Answer:

\(\frac{3}{17}, \\0.176, \\18\%\)

Step-by-step explanation:

The area a total of 4+3+6+5=18 balls, consisting of:

After a green ball is selected (implied that it is not replaced or put back), there will be 17 balls total, consisting of:

Therefore, the probability of drawing another green one is:

\(\boxed{\frac{3}{17}=0.176=18\%}\)

Answer:

y = x

Step-by-step explanation:

Rate of change is also known as the gradient of a curve and denoted as "m".

If the rate of change is equal to one then "m" is equal to 1

In the general equation of a straight line:

y = mx + c

this would look like:

y = 1x

If it passes through the origin it intercepts the y-axis at 0 so c = 0

y = x + 0

or

y = x

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Answer:

2998 Panda's will be left in 4 years.

Step-by-step explanation:

0.5 x 4 =2

3000-2=2998

Step-by-step explanation:

you should respond : "you are right" !

Answer:

The answer is 5/8. Hope this helps. :)

Step-by-step explanation:

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

Answer:

10,000

Step-by-step explanation:

Answer: where is the quadrilateral

Step-by-step explanation:

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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I think its just 6.60 divided by six, thats how many each one costs, then multiply it by 3

Hope this helps :)

Answer:

3.3

Step-by-step explanation:

because you can divide 6.60 by 6 which is 1.1 then multiply it by 3

Hope it's helpful!!

Answer:

There are 50 students in the sixth grade.

Step-by-step explanation:

Given that 88% of students have pets which means that only 12% do not have pets. It says that only 6 students do not have pets so we can assume that 12% is equals to 6 students. We have to form an expression for the number of students.

Lets make x = total number of students,

\( \frac{12}{100} \times x = 6\)

\(x = 6 \div \frac{12}{100} \)

\(x = 6 \times \frac{100}{12} \)

\(x = 50 \: students\)

The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6

To determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.

These algebraic expressions are also identified with the presence of arithmetic operations,

These operations are;

From the information given, we have that;

7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

collect the like terms

7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6

add the like terms

x^7+10x^4+4x^3-5x^11-10x^6

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Answer:

Perimeter = 10x + 30

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before solving the problem, we can make the following statements:

Perimeter = 2l + 2w

l = 2x + 7

w = 3x + 8

Using all of that, we can substitute for perimeter,

Perimeter = 2(2x + 7) + 2(3x + 8)

Perimeter = 4x + 14 + 6x + 16

Perimeter = 10x + 30

Answer:

4(4x-16)

Step-by-step explanation:

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After 50 years, she gets the amount $5000 in her bank account.

According to the statement

we have given that the Lina placed $1000 in a bank account with an annual compound interest rate of 8%.

And we have to find that the How long will it take until she has $5000 in the account.

So, For this purpose, we know that the

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

The principal amount = 1000

And 8% of P.A. = 8/100*1000

8% of P.A. = 80.

So, According to this after 1 year the amount become

1080.

it means the equation become after t years.

Amount(t) = 1000 + 80t

And the amount is 5000 which is given then

5000 = 1000 + 80t

4000 = 80t

t = 50.

So, After 50 years, she gets the amount $5000 in her bank account.

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Step-by-step explanation:

estabien lo que pusiste bien

Can you stop commenting random things, thanks

Answer:

3x+5

Step-by-step explanation:

There are two terms. 4n is one term, \(5y^{2}\) is one term, a+b+2 is three terms.

Hope this helps!

The expression has exactly two terms is 3x+ 5.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

1. 4n have only one term.

2. 5y² also have one term.

3. 3x + 5 have two terms.

4. a+ b + 2 have three terms.

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Answer:

D

Step-by-step explanation: