What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11

Answer:

d > - 7

Step-by-step explanation:

Here, d represents the number of dollars in John's bank account at the end of the month.

As per statement,

In John's account,

The balance must be more than -7 dollars,

That is, Number of dollars at the end of each month > - 7 ( '>' is used for more than )

⇒ d > - 7

Which is the required inequality.

Since it is specifically stated that the line intersects the x-axis, then this means that y = 0. Therefore substituting y = 0 into the given equation will us the value of x.

Substituting y = 0:

3 x + 2 * 0 = 72

3 x = 72

x = 24

Therefore this means that the line intersect the x-axis at point (24, 0).

Considering the information about the asymmetry in Bakery B's distribution, the median would be a more appropriate measure of central tendency for both Bakery A and B. It would provide a better representation of the "typical" number of cupcakes sold in each bakery, even if there might be outliers in the data.

Understanding Mean and Median:

Why Median is More Appropriate (Considering the Information):

The information mentions that the distribution for Bakery B is not symmetric. This suggests that the data points in Bakery B might be skewed towards one side, with a few possibly higher or lower values compared to the majority.

Reasoning:

complete question:

The number of bagels sold daily for two bakeries is shown in the following table: Uchange Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55 40 51 39 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (3 points)

a. Mean, because there are no outliers to affect the data

b. Mean, because the distribution is perfectly symmetric for both bakeries

c. Median, because the distribution for Bakery B is not symmetric

d. Median, because there are outliers that affect both data sets

Answer:

Option B - 6x-6/x

Step-by-step explanation:

Given : If [tex]f(x)=\frac{x-3}{x}, g(x)=x+3,h(x)=2x+1[/tex].

To find : What is the value of  [tex](g(h(f)))(x)[/tex]

Solution :

[tex](g(h(f)))(x)=g(h(f(x)))[/tex]

i.e, substitute the value of f(x) in h(x) and then put that h(x) in g(x).

[tex]g(h(f(x)))=g(h(\frac{x-3}{x}))[/tex]

[tex]g(h(f(x)))=g(2(\frac{x-3}{x})+1)[/tex]

[tex]g(h(f(x)))=(2(\frac{x-3}{x})+1)+3[/tex]

Solving the RHS,

[tex]=(2(\frac{x-3}{x})+1)+3[/tex]

[tex]=(\frac{2x-6}{x})+1)+3[/tex]

[tex]=(\frac{2x-6+x}{x})+3[/tex]

[tex]=\frac{3x-6}{x}+3[/tex]

[tex]=\frac{3x-6+3x}{x}[/tex]

[tex]=\frac{6x-6}{x}[/tex]

Therefore, The value of [tex](g(h(f)))(x)=\frac{6x-6}{x}[/tex]

Hence, Option B is correct.

2/3 (5 × 4) ÷ 3 + 6/7 = 334/63

Order of Operations in Mathematics follow this following rule :

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem.

Let's write down the problem that is wanted to be solved:

[tex]\frac{2}{3} ( 5 \times 4 ) \div 3 + \frac{6}{7}[/tex]

[tex]\frac{2}{3} ( 20 ) \div 3 + \frac{6}{7}[/tex] → Parentheses First

[tex]\frac{40}{3} \div 3 + \frac{6}{7}[/tex] → Multiplication

[tex]\frac{40}{9} + \frac{6}{7}[/tex] → Division

[tex]\frac{280}{63} + \frac{54}{63}[/tex] → Match the denominator of the fraction

[tex]\frac{334}{63}[/tex] → Final Answer

From the results above, it can be concluded that the results of this operation 2/3 (5 × 4) ÷ 3 + 6/7 is 334/63

Grade: Middle School

Subject: Mathematics

Chapter: Order of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS

Answer:

5x-2+^3 hole

Step-by-step explanation:

The inverse of f(X) =  (x +6 ) /5

The inverse of a function f is denoted by f^-1 and it exists only when f is both one-one and onto function. Note that f^-1 is NOT the reciprocal of f. The composition of the function f and the reciprocal function f-1 gives the domain value of x.

(f o f^-1) (x) = (f^-1 o f) (x) = x

The following sequence of steps would help in conveniently finding the inverse of a function. Here we consider a function f(x) = ax + b, and aim at finding the inverse of this function through the following steps.

Given:

f(x) = 5x – 6

let y= f(x) = 5x – 6

Now, Interchange the x with y and the y with x.

x= 5y -6

x+6 = 5y

y = (x +6 ) /5

So,  f^-1(x) =  (x +6 ) /5

Learn more about inverse of function here:

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Answer:

If the weight is equal to the buoyant force, it will float. The same is true for if the weight is less than the buoyant force. However, if the weight is greater than the buoyant force, it will sink.

Yes, the game was fair and no one had a better advantage.

Answer:

yes!

Step-by-step explanation:

no one had a better advantage.everyone had the same amount of advantage.

We can use the principles of permutation to find out that there are 60 different three-digit numbers that could be formed using the digits 1,2,3,4,5 without repetition.

In order to find out how many different three-digit numbers can be formed using the digits 1,2,3,4,5 without repetition, we use the principles of permutation. Firstly, we should determine how many options we have for each digit place in the three-digit number.

We then multiply these options together (5 x 4 x 3) which equals to 60 different three-digit numbers.

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5.52, –4.52

is the correct answer,never forget negatives!

The student is completing a two-step mathematical operation to find a percentage by dividing 88 by 110 and then multiplying the result by 100. The '80kg' mention seems to be unrelated. Without more context, it's difficult to relate this to the given references, though they involve calculations and conversions in physics.

The student seems to be performing a two-step operation where they are first dividing 88 by 110 and then multiplying it by 100. This is a common way of finding percentages. To get the result first, divide 88 by 110 which equals 0.8. Secondly, multiply 0.8 by 100 to get 80%. The '80kg' seems irrelevant to this operation if no further context is provided, it could be a weight measurement in physics.

In terms of any associations with the provided references, it seems that the question might be related to converting some measurements or calculating kinetic energy ('K'). However, without additional information, it's hard to ascertain the exact nature of the task.

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Answer:

The volume of water that can be hold by the pool is approximately 770 cubic feet.  

Step-by-step explanation:

To calculate it we have to use the volume formula for a cylinder. This is:

[tex]Volume=pi*r^{2}*h\\pi=3.14\\r=radius\\h=deep[/tex]

Solving the equation with the given values:

[tex]Volume=3.14*7^{2} *5\\Volume=769.3 cubic feet \\Aprox.Volume= 770 cubic feet[/tex]

The volume of water that can be hold by the pool is approximately 770 cubic feet.  

An open rectangular box with a volume of 32 cm³ would have its minimum surface area when it takes the form of a cube. In this case, each side of the box would be approximately 3.174 cm.

To minimize the surface area of an open rectangular box given a constant volume, the box should take the shape of a cube. This is because a cube is the three-dimensional shape that has the minimum surface area for a given volume. The volume V of the box is given as 32 cm³. Since for a cube, the volume V = a³ where a is the side length of the cube, we need to find the value of a such that the volume is equal to 32cm³.

To do this, we use the cube root function as follows: a = ∛V = ∛32 = 3.174 cm.

So, for a rectangular box with a volume of 32 cm³, the lengths of the edges that would give the minimum surface area would all be approximately 3.174 cm.

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An open rectangular box with a volume of 32 cm³ would have its minimum surface area when it takes the form of a cube.

In this case, each side of the box would be approximately 3.174 cm.

To minimize the surface area of an open rectangular box given a constant volume, the box should take the shape of a cube.

This is because a cube is the 3-dimensional shape that has the minimum surface area for a given volume.

The volume V of the box is given as 32 cm³.

Since for a cube, the volume V = a³ where a is the side length of the cube, we need to find the value of a such that the volume is equal to 32cm³.

To do this, we use the cube root function as follows:

a = ∛V

= ∛32

= 3.174 cm.

So, for a rectangular box with a volume of 32 cm³, the lengths of the edges that would give the minimum surface area would all be approximately 3.174 cm.