Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0 . A random sample of 59 people is taken. Step 2 of 2 : What is the probability that the mean IQ score of people in the sample is less than 99 ? Round your answer to 4 decimal places, if necessary.

Answer:

72.8 or 72 4/5

Step-by-step explanation:

Answer:

[tex]3x + 2 = 2x - 5 \\ 3x - 2x = - 5 - 2 \\ x = - 7[/tex]

Step-by-step explanation:

please make me as brainlest

Step-by-step explanation:

I hope it will help you...

Quantitative data is data that is measured on a naturally occurring numerical scale.

This can be seen in the data input as 1, 2, 3, 4, which can be meaningfully added, subtracted, multiplied, or divided. Qualitative data, on the other hand, is data that cannot be meaningfully added, subtracted, multiplied, or divided. The data set consisting of classifications AB, C, and D is qualitative because it can only be classified into categories and cannot be meaningfully added, subtracted, multiplied, or divided. To illustrate this further, let’s take an example. If the categories are colours (A = Red, B = Blue, C = Green, and D = Yellow), the data set AB, C, and D cannot be meaningfully added, subtracted, multiplied, or divided, and therefore is qualitative.

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The function f(x) is linear and equation is y = 4x + 6 where x=0,1,2,3,4

A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output. Every function has a domain and a co-domain, as well as a range. In general, a function is denoted as f(x), where x represents the input. A function's generic representation is y = f(x).

In mathematics, there are several types of functions. Some examples include:

When there is a mapping for a range for each domain between two sets, this is referred to be an injective function or a one to one function.

Surjective functions, also known as Onto functions, are used when more than one element is transferred from domain to range.

Polynomial function: A function made up of polynomials.

Inverse Functions: A function that may be used to inverse another function.

Now,

For function f(x)=6,10,14,18,22, g(x)=8,10,12,16,22 for x=0,1,2,3,4

f is a function because y increases 4 for each increase of 1 in x

slope = 4

intercept = f(0) =6

Hence Equation is y = 4x + 6 where x=0,1,2,3,4

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The correlation coefficient of 1 indicates a strong positive linear relationship between the number of forest fires and the number of acres burned.

However, the correlation coefficient alone does not determine if regression analysis should be done or not. Other factors such as the purpose of the analysis, the distribution of the data, and the presence of outliers should also be considered.

In general, if the relationship between the two variables is of interest and there is sufficient evidence of a linear relationship, then regression analysis may be appropriate. However, a final decision requires a deeper understanding of the problem and the data.

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The interest rate for Jo's 8-month, $6,650 bank loan was $70.14. The bank applied an 8.5% discount on the loan.

By divided the principal by interest rate, the duration of time, and other factors, simple interest be determined. Simple return means principal plus interest hours straight is the technique used in marketing. The quickest thing to compute interest if to use this method. The most popular way of calculating interest is as portion of the outstanding sum. For example, if he takes $100 from a buddy then agrees to repay the debt at 5% interest, he will only pay his portion of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you need to lend money when you lend it. Typically, interest is determined as an indicator of the overall of the loan total. The loan's interest is the term given to this percentage.

given

A = P(1 + r)ⁿ

A is the sum, P is the sum at the beginning, r is the interest rate, and n is the number of years.

Jo took out a four-month loan from a bank for 3,800. The bank applied a 5.5% discount to the loan.

The true interest rate is going to be

r = 5.5% / 12

r = 0.458%

When this happens, the money the bank gets is equivalent to what Jo paid in interest.

I = P(1 + r)ⁿ - P

I = 3800 (1 + 0.055/12)⁴ - 3800

I = $3870.14 - $3800

I = $70.14

The interest rate for Jo's 8-month, $6,650 bank loan was $70.14. The bank applied an 8.5% discount on the loan.

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Step-by-step explanation:

So 22% is 22% out of 100%

So

22/100

Now all you need is to simplify by dividing each side by 2

11/50

-4-1/3m+8n is the simplified form of the expression -2/5(10+5/6m-20n)

An expression is combination of variables, numbers and operators.

The given expression is -2/5(10+5/6m-20n)

Minus two by five times of ten plus five by six m minus twenty n.

In the expression m and n are the variables and minus and plus are the operators.

Apply distributive property to solve the expression.

-2/5(10)-2/5(5/6)m+2/5(20n)

-4-1/3m+8n

Hence, -4-1/3m+8n is the simplified form of the expression -2/5(10+5/6m-20n)

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Order of fractions from smallest to largest:

If sorted we first equate the denominator to 60.

18/60, 16/60, 54/60, 44/60, 51/60

So if sorted from smallest to largest, the order becomes:

4/15, 3/10, 11/15, 17/20, 9/10

If sorted we first equate the denominator to 60. it becomes:

15/60, 20/60, 40/60, 45/60, 24/60

So if sorted from smallest to largest, the order becomes:

1/4, 1/3, 2/5, 2/3, 3/4

If sorted we first equate the denominator to 60. it becomes:

135/60, 80/60, 100/60, 105/60, 84/60

So if sorted from smallest to largest, the order becomes:

4/3, 7/5, 5/3, 7/4, 9/4

If sorted we first equate the denominator to 30. it becomes:

126/30, 65/30, 125/30, 66/30, 39/30

So if sorted from smallest to largest, the order becomes:

13/10, 13/6, 11/5, 25/6, 21/5

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Answer:

I have to submit the BRAINLIEST

pls mark as brainliest

Answer:

Step-by-step explanation:

Find the probability that X is less than 92:

We can use the cumulative distribution function (CDF) of a normal distribution to find the probability that X is less than 92. The CDF of a normal distribution with mean μ and standard deviation σ is given by:

F(x) = (1/2) * [1 + erf((x-μ)/(σ * sqrt(2)))]

Where erf is the error function.

So, the probability that X is less than 92 can be calculated as:

P(X < 92) = F(92) = (1/2) * [1 + erf((92-108)/(17 * sqrt(2)))]

This value can be calculated using a calculator or statistical software.

Find the probability that X is between 92 and 126:

We can use the CDF to find the probability that X is between 92 and 126. The probability that X is between 92 and 126 is equal to the difference between the CDF values at 126 and 92:

P(92 < X < 126) = F(126) - F(92)

This value can also be calculated using a calculator or statistical software.

Find the IQ of an individual that is in the top 10% of the population:

To find the IQ of an individual that is in the top 10% of the population, we need to find the value of X that corresponds to a cumulative probability of 0.9. This can be done by solving for X in the CDF equation:

F(X) = 0.9

X = μ + σ * inverse_CDF(0.9)

Where inverse_CDF is the inverse cumulative distribution function and can be calculated using a calculator or statistical software. The value of X that corresponds to a cumulative probability of 0.9 is the IQ of an individual that is in the top 10% of the population.

The turtle's rate is given as follows:

B- 9/50 of a mile per hour.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The parameters for this problem are given as follows:

t = 5/6, d = 3/20.

Hence the velocity is obtained as follows:

v = (3/20)/(5/6)

v = (3 x 6)/(20 x 5)

v = 18/100

v = 9/50.

Meaning that option B is correct.

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When 6.25% is compounded quarterly to get $18,000 in 13 years, the total amount is $22,478.16 in compound interest.

Divide the total by the yield curve, the length of time, and other factors to arrive the simple interest. Simple return = money + return + hours is the marketing formula. This method allows it easiest to calculating interest. The most typical technique to figure approximately interest is as a portion of the principal sum. He will only pay his share of the 100% extra, for example, if he borrows $100 from a neighbor and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow, you must pay interest, and when you give it out, you must charge interest. Interest is often determined like an indicator of the overall of both the loan total.

given

Amount = Principal (1 + rate of interest) number of years

= $1,200 (1 + 0.032) 8

= $1,200 1.286582318

= $22,478.16 is the amount in compound interest.

The remaining amount is $40,478.16.

When 6.25% is compounded quarterly to get $18,000 in 13 years, the total amount is $22,478.16 in compound interest.

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The time required to cross the airplane Atlantic Ocean is (3/5) hours.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know, Distance = Speed×Time.

Given, Distance is 3000 miles and the speed is 5000 miles per hour.

Therefore, 3000 = 5000×t.

t = 3000/5000.

t = 3/5 hours.

Q. An airplane crosses the Atlantic Ocean (3000) miles with an airspeed of 5000 miles per hour, What is the time required to cover the distance?

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This may sound wrong or confusing but I have a cousin in college and he said that it should be 3-6!

y = 0.3x + 1.8 matches f(x) = 0.1x³ + 2

y = 1.2x + 7.4 matches f(x) = 0.1x³ + 2

y = 2.7x + 3.6 matches f(x) = 0.1x³ + 2

y = 4.8x + 1.8 does not match f(x) = 0.1x³ + 2

y = 4.8x - 10.8 does not match f(x) = 0.1x³ + 2

y = 0.3x - 10.8 does not match f(x) = 0.1x³ + 2

A tangent line is a straight line that touches a given curve at a single point and has the same slope as the curve at that point. In other words, it is a line that locally approximates the curve at that point. The tangent line is often used to study the behavior of a function near a particular point and can provide valuable information about the properties of the curve

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Answer: I'm sorry, I am not able to create or upload spreadsheets in this platform due to recent restrictions. However, you can easily create this table in a spreadsheet program like Microsoft Excel and use built-in functions to find the desired information.

To answer the questions:

a. To find the percentage of the total that Labor makes up, you would divide the total Labor expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.

b. To find the percentage of the total that Business 4's expenses make up, you would divide Business 4's Total expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.

c. To find Business 5's labor cost as a percentage of the total labor expenses, you would divide Business 5's Labor expenses by the overall Labor expenses, then multiply by 100 to express the answer as a percentage.

d. To find the percentage of Business 5's expenses that Supplies make up, you would divide Business 5's Supplies expenses by Business 5's Total expenses, then multiply by 100 to express the answer as a percentage.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5.9 is close to 5.10

5.99 is close to 6

5.9 + 0.1 = 5.10

5.99+0.1 = 6

Answer:

Hi there! 5.9 is NOT bigger than 5.99

Step-by-step explanation:

5.9 is 0.09 less than 5.99.

Hope this helps!

Brainiest? Can you click on the crown on this answer? Thanks!

The total number of rows in the Theater after 125 seats are added is 60 rows.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The Outdoor theater currently has 1,375 seats.

If we add 125 new seats then the number of seats are

= 1375 + 125

= 1500

Each row have 25 seats in one row.

Then, the total number of rows in Theater

= 1500/25

= 60 rows.

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The required sample covariance of the given sample is (C) -0.20.

The link between two random variables from the sample is measured using sample covariance, which uses a smaller sample of the population.

Working with huge populations, such as in long-term medical studies or stock investment tools, makes this statistic helpful.

So, the number of samples is:
n = 6

Then, the mean of x:

[tex]\begin{aligned}\bar{x} & =\frac{\sum x}{n} \\& =\frac{30}{6} \\& =5\end{aligned}[/tex]

The mean of y:
[tex]\begin{aligned}\bar{y} & =\frac{\sum y}{n} \\& =\frac{12}{6} \\& =2\end{aligned}[/tex]

The sample covariance:

[tex]{Cov}(x, y)=\frac{\sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{n-1}\\\begin{aligned}& =\frac{-1}{5} \\& =-0.20\end{aligned}[/tex]

Therefore, the required sample covariance of the given sample is (C) -0.20.

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Correct question:

Consider the following data set: Variable 1: 5 3 5 5 4 8 Variable 2: 3 1 1 4 2 1

The sample covariance for this data set is ?

a). 2.30

b). -0.20

c). 0.65

d).-1.77

There are 31 19/24 miles Trish drive in all.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Trish drive 18 1/8 miles yesterday she drove 13 2/3 miles today.

Hence, Total miles Trish drive in all is,

⇒ 18 1/8 + 13 2/3

⇒ 145/8 + 41/3

⇒ (145 × 3 + 41 × 8 ) /24

⇒ (435 + 328) / 24

⇒ 763/24

⇒ 31 19/24 miles

Thus, Total miles Trish drive in all is, 31 19/24 miles.

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Answer:

1

Step-by-step explanation:

Anything to the 0 power is 1

The value of AB to the nearest tenth of a meter is 21 meter.

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Two triangles are similar, if the ratio of their corresponding sides are in the same proportion

Triangle ABC and CDE are proportional, hence:

AB / DE = AC / CE

substituting:

AB / 7 = (12 + 6)/6

AB = 21 meter

The value of AB is 21 meter.

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Option B is the correct answer. which is 37 times greater.

The volume of the sphere is defined as a measure of space that can be occupied by a sphere.

The general formula for the volume of a sphere is given:

V=4/3πr³.

where r is the radius

and the value of π is 3.17

As per the question r= 10 for dodgeball and r= 3 for the soccer ball.

substitute the values in the above formula

V₁=4/3π(10)³ and V₂=4/3π(3)³

Now divide V₁/V₂.

V=4/3π(10)³/4/3π(3)³

V=(10)³/(3)³

V=1000/27

V=37.03

so the volume of the dodgeball is 37 times greater than that of the soccer ball.

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Full question:

There is a dodgeball with a radius of 10in, and a soccer ball with a radius of 3in. Find how many times greater the volume of the dodgeball is than that of the soccer ball Select one 37 times 3.33 times 11.1 times 30 times

Answer:

(2c-b) / 2c

Step-by-step explanation:

b/6c + b/3c + y = 1,

Because these are fractions they must add up to 1.

Add and simplify,

(6bc + 3bc)/18c^2

b/2c + y = 1,

Make y the subject,

y = 1 - b/2c

y = (2c-b)/2c

Answer:

x = (10.392)

y = 12

Step-by-step explanation:

Trigonometric Functions are special functions relating to the ratio of the sides of triangles. There are 6 primary ones known as sin, cos, tan, csc, sec, cot which all have definitions relating to the sides of a triangle.

We want to use one where it's defined using the adjacent side and opposite side since we know the adjacent side (the side 6) we just don't know the opposite side (the x side).

Luckily we have a function tan which is defined as: [tex]tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}[/tex]

We can plug in values we know: [tex]tan(60) = \frac{x}{6}[/tex] now just multiply both sides by 6 to solve for the x value: [tex]tan(60) * 6 = x[/tex] and then using a calculator we get approximately: ​10.392 and now from here we can use Pythagorean Theorem:

[tex](10.392)^2 + 6^2 = y^2\\\\107.994 + 36 = y^2\\\\143.994=y^2\\\\12=y[/tex]

Based on the RHS rule of congruency of triangles, APC and APB are congruent, therefore, P lies on the bisector of BAC.

To prove that  P lies on the bisector of BAC:

Based on two equal angles (the bisected angle), right angles, and a similar side, the two triangles are said to be congruent (RHS congruence rule). As a result, the perpendiculars are of equal length, and the angle's bisector is equally spaced from its sides.

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