For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

Answer:So I think the answer might be 88

Answer: 85 sqm

Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.

Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.

Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.

Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3

Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.

Answer:

140 ounces of Vegetables

Step-by-step explanation:

23 ounces of carrots x 2 = 46 ounces

47 ounces of broccoli x 2 = 94 ounces

46 ounces of carrots + 94 Ounces of Broccoli = 140 Ounces of Vegetables

Answer:

140 oz of vetables

Step-by-step explanation:

23 x 2 = 46

47 x 2 = 94

46 + 94 = 140

Answer:

  85.2 m²

Step-by-step explanation:

Perhaps one of the easiest ways to decompose this composite figure is to consider it as a rectangle with a triangle removed from it.

__

The vertical dimension of the missing triangle is 8-4 = 4 m. The horizontal dimension of the missing triangle is 11.4 -8.4 = 3 m. The overall rectangle, including the missing triangle, is 11.4 m wide and 8 m high.

The area of the figure is ...

  area = rectangle area - triangle area

  = (11.4 m)(8 m) -1/2(4 m)(3 m) = 91.2 m² -6 m² = 85.2 m²

The area of the shape is 85.2 square meters.

_____

Additional comment

The area of a rectangle is the product of its length and width:

  A = LW

The area of a triangle is half the product of its base and height:

  A = 1/2bh

Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

in an exponential expression, the rate of change is usually the parenthesized expression, namely on y = a(b)ˣ, the rate will be "b", so in this case the rate is just ∛24

[tex]\sqrt[3]{24} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^3\cdot 3 \end{cases}\implies \sqrt[3]{2^3 \cdot 3}\implies 2\sqrt[3]{3}[/tex]

Answer:

The correct answer is the second one.

Step-by-step explanation:

68/5 - 18/5 = 50/5

50/5 simplified is 10

Making the second equation true.

Hope this helps:) Goodluck!

Answer:

What shapes?!?! I can help you if you add an image of the shapes :)

Step-by-step explanation:

help is on the way! :D

Im sorry if im wrong but i could do 17.82x10= 178.20

Answer:

y ≥ 1

Step-by-step explanation:

The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.

It indicates that the line equation is:

For various x values, y=-1.

Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.

As a result, the inequality is:

y≥-1

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

Hope this helps

Answer:

this is a trapazoid so it is 32.5

Step-by-step explanation:

formula equals base + base / 2 x  h   = 9 + 4 / 2 x 5 = 32.5

mad skillz, good luck cheating

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

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Answer:

-54

Step-by-step explanation:

first of all you want to simplify them

When two lines form vertical angles, then the angles are equal in measure. This is true.

Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.

There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.

Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.

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Answer:

b

Step-by-step explanation:

the answer is b if values are plugged in to function

Answer:

y = -(x - 2)² - 4

Step-by-step explanation:

The vertex form an equation is given as :

Substitute any point in the table to find a :

Hence, the final equation :

Answer:

135

Step-by-step explanation:

All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135

Answer:

Not very. The closer the value of your correlation coefficient is to 0, the weaker the correlation. Here, our correlation coefficient is only 0.089 away from 0 - in other words, there's not much correlation in the number of plagiarized assignments and the score on their final exam. If you were to plot this data on a graph, it would look like a pretty sparse "blob" of dots, where with a higher correlation, we'd expect a tighter grouping around the line of best fit. See the illustration for an example of strong/weak correlation in both negative and positive directions.

The sign of our correlation coefficient is negative, which means that generally, for what weak correlation we have, the score on the final exam goes down as the number of copied assignments go up. This makes sense - the more assignments you copy, the less you tend to retain.

The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.

Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).

These points satisfy by the equation

y= 60/x

and,

If we input the value of x into the equation,

y= 60/6

= 10 lbs of force.

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Answer:

Keep it simple: answer 10

Step-by-step explanation:

Answer:22

Step-by-step explanation: since f(8) so x=8

substitiuting x in 2x+6

                                      f(8)= 2x8+6=22

so f(8)=22

Hope this helps! :)

Answer:

either the median is 2 inches or the mean is 3.2 inches, but i think it is median since the question asks for the center

Step-by-step explanation:

Step-by-step explanation:

Susan message=34.66

Frank message=27.6

Dan message=28

Answer:

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

The equivalent ratio of the given ratio of 8:2 is 4:1. Hence, the ratio of 8 to 2 is equivalent to the ratio of 4:1.

When we compare ratios, equivalent ratios are the ones that are the same. To see if two or more ratios are equivalent, they can be compared to one another.

Given information:

As we know that the equivalent ratio is defined as the ratio which is having the same proportion as the given ratio.

Now, using the division property of the ratio, We will divide the given ratio with the same number on both sides:

Hence, by dividing the given ratio by 2 we get the ratio as 4:1.

Therefore, the equivalent ratio of the given ratio of 8:2 is 4:1. Hence, the ratio of 8 to 2 is equivalent to the ratio of 4:1.

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Based on the excerpt given on Paco's evaluation of Dan DeLuca's argument, the correct order is 3 - 4 - 1 - 2.

3 is the best sentence to start because it introduces the direction that DeLuca is taking in his argument. 4 is next because it then says what DeLuca's claims are.

1 is the third sentence because it expands on DeLuca's arguments and then 2 is the last sentence as it contains Paco's evaluation of the argument.

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Answer:

its C: 3 – 4 – 1 – 2

The per-pound price of the mix must be: P = $2.40 per lb.

To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.

We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:

6*$2.00 = $12.00

We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:

4*$3.00 = $12.00

Then the total cost of the mix is $12.00 + $12.00 = $24.00

And the the mix has a total mass of 6lb + 4lb = 10lb

Then the per-pound price of the mix must be:

P = $24.00/10lb = $2.40 per lb.

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Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:[tex]y = \frac{1}{3}x +1[/tex]

Step-by-step explanation:

I can see that one coordinate is (0,1) and another to assume is (-3,0)

With this we can make the equation

Equation format is y = mx + b

b is y-intercept, so when x is 0, y = 1, so b = 1

y = mx + 1

We can substitute (-3,0) into the equation and get 0 = -3m + 1

Solving for m gives us [tex]\frac{-1}{-3} = m[/tex]

so [tex]y = \frac{1}{3}x +1[/tex]

Answer: it would be y/2 if im not mistaken.

Step-by-step explanation: because with x+3/3 the 3 on the top is canceled out leaving x/3 so it would be the same with y+2/2.  I hope im right and that this helps. If not i am sorry.

Narissa is right sample B is 15,000 times that of sample A

The quantity of matter that any object contains is called the mass of the body.

It is given that:-

So the mass will be given as:-

[tex]\dfrac{B}{A}=\dfrac{3.6\times 10^2}{2.4\times 10^{-2}}[/tex]

[tex]\dfrac{B}{A}=15000[/tex]

B  =  15000 B

Therefore Narissa is right sample B is 15,000 times that of sample A

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Using an exponential function, it is found that it will take 3,252 years for the sample to degrade to 4.5kg.

It is given by:

[tex]A(t) = Pe^{-kt}[/tex]

In which:

The half-life is of 21,400 years, hence, A(21400) = 0.5P, and this is used to find k.

[tex]A(t) = Pe^{-kt}[/tex]

[tex]0.5P = Pe^{-21400k}[/tex]

[tex]e^{-21400k} = 0.5[/tex]

[tex]\ln{e^{-21400k}} = \ln{0.5}[/tex]

[tex]-21400k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{21400}}[/tex]

k = -0.00003239005

Hence, considering the initial mass is of P = 5 kg, the amount after t years is given by:

[tex]A(t) = 5e^{-0.00003239005t}[/tex]

The amount will be of 4.5 kg at t for which A(t) = 4.5, hence:

[tex]4.5 = 5e^{-0.00003239005t}[/tex]

[tex]e^{-0.00003239005t} = 0.9[/tex]

[tex]\ln{e^{-0.00003239005t}} = \ln{0.9}[/tex]

[tex]-0.00003239005t = \ln{0.9}[/tex]

[tex]t = -\frac{\ln{0.9}}{0.00003239005}[/tex]

t = 3252.

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A triangle (Option B)

If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base