Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. a. What proportion of people have diastolic blood pres- sure less than 90

Answer:

80

Step-by-step explanation:

I know this because 100% of 4 is 40 so since 200 is 2x 100 200% of 40 is 40x2 which is 80.

To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.

First, we need to determine the difference between your score and the starting score of 2.6:

3.4 - 2.6 = 0.8

Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:

0.8 / 0.4 = 2

Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:

2 * 1% = 2%

Therefore, you will be receiving a merit increase of 2%.

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

The dimensions of the net will be the same as the dimensions of the rectangular prism, since the net is just a flattened version of the 3D shape.

What is Rectangular prism ?

A rectangular prism is a three-dimensional geometric shape that has six faces, all of which are rectangles.

To label the dimensions of the net for the current cereal box, you need to identify the six faces of the rectangular prism that makes up the cereal box.

Start by drawing a rectangular prism with the given dimensions (12 inches high, 8 inches wide, and 2 inches deep).

Then, label each face with its dimensions, as follows:

The top face (which will be the same size as the bottom face) has dimensions 8 inches by 2 inches.

The front and back faces have dimensions 12 inches by 8 inches.

The left and right faces have dimensions 12 inches by 2 inches.

Top face: 8 in. x 2 in.

Front and back faces: 12 in. x 8 in.

Left and right faces: 12 in. x 2 in.

Therefore, Note that the dimensions of the net will be the same as the dimensions of the rectangular prism, since the net is just a flattened version of the 3D shape.

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A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

Answer:

A

Step-by-step explanation:

The reason it's A is because to make the ratio 1:1 you need to have a whole number you can't have half a pencil or pen, so what you need to do is add 22 and 96 and divide you should get 59, but if you add 23 to 96 and divide you get 59.5 and you can't have half a pencil (you can but that's not what were looking for). So in problems like this add and then divide by 2 and choose whole numbers because you can't have half in ratios cause that won't give the correct answer.

Answer:

C = 24

Step-by-step explanation:

just trust me i got it wrong thinking it was A= 22

9514 1404 393

Answer:

  a) yes

  b) yes

Step-by-step explanation:

a) Triangles can be proven congruent by the SSS postulate, so knowing the three side lengths is sufficient to demonstrate the piece will fit in the hole.

__

b) A triangle can be solved (completely specified) if two sides and the included angle are known. Those measurements on the fabric and the hole allow all side lengths and angles of the triangles to be determined completely. Hence the triangles can be shown congruent as a result.

_____

Additional comment

Showing SSS congruence generally means demonstrating corresponding sides are the same length. However, the three side lengths completely specify the triangle. The side lengths can always be made corresponding if they are listed in some order, for example, shortest to longest.

Showing SAS congruence requires that corresponding sides and angles be shown congruent. However, an SAS specification of a triangle is sufficient to permit determination of all sides and angles. Specifically, the third side length can be found using the Law of Cosines, and the remaining angles can be found from either the Law of Sines or the Law of Cosines.

The probability of a line only at Booth 1 is equal to the probability of a line at Booth 1 minus the probability of a line at both booths, which is equal to 0.77 - 0.55 = 0.22.

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

The probability of a line at neither booth is given by the area outside both circles, which is equal to 1 - 0.77 - 0.62 + 0.55 = 0.16.

The probability of a line at least at one booth is equal to the sum of the probabilities of a line at each booth plus the probability of a line at both booths, which is equal to 0.77 + 0.62 - 0.55 = 0.84.

The probability of a line at exactly one booth is equal to the probability of a line at Booth 1 plus the probability of a line at Booth 2 minus the probability of a line at both booths, which is equal to 0.77 + 0.62 - 2*0.55 = 0.24.

The probability of a line only at Booth 1 is equal to the probability of a line at Booth 1 minus the probability of a line at both booths, which is equal to 0.77 - 0.55 = 0.22.

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Answer:5/7

Step-by-step explanation:

6/7-1/7=5/7

you cant simplify it lower

Answer:

5/7

Step-by-step explanation:

First, what is 6/7 - 1/7? Well, the answer is 5/7 by just subtracting the numerator. So Simplifying is not needed in this equation.

Answer:

Money owed to other people or banks

(Hope this helps! Btw, I am the first to answer.)

Answer:

The leverage of an observation is determined by how far the values of the independent variables are from their means.

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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The function to be used is called "p" and represents the area of the pepper patch to be constructed. It should depend on the length of the tomatopatch (this dimension/variable is called "x")

Therefore, p(x) is how we write the function in mathematical terms.

Now, the domain of this function consists as all domains as the possible x values that could render a viable answer. so, the Domain is:

Domain = {set of all possible lengths of the tomato patch} This description better describes that given in the very first option on the top left.

The y-intercept: Recall that the variable we are representing on the y-axis (vertical axis), and the intersect occurs when the x-value is zero.

So y-intercept = The area of the pepper patch when the length of the tomato patch is zero (last option - bottom right)

x-intercepts: The points at which p is zero, So the length of the tomato patch when the area of the pepper patch is zero. (This is the bottom left option they give you).

The Range: is all possible answer for the area of the pepper patch. Which is best described by the middle top option they gave you.

Answer:

$67.50

Step by Step:

$45.00 divided by 6 = $7.50

$7.50 x 9 = $67.50

Given:

One card is randomly selected from a deck of cards.

Required:

Find the odds: against getting a red queen.

Explanation:

The total number of cards in the deck = 52

Answer:

33.3% chance as the person who owns the 4 horses accounts for 1/3 of the total 12 horses.

Step-by-step explanation:

Please let me know if I did not answer your question completely. Smile ; )

Answer:

you want to bring down the numbers.. so try 3 for the second one

Step-by-step explanation:

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

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Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Answer:

y= 2x -6

Step-by-step explanation:

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

To find the equation of a line, two information are needed:

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

Additional:

For a similar question on slope-intercept form, do check out the following!

Answer:

A: 13

B: 20

C: 23

Don't study: 4 students

Answer:

1. ecosystem

2. ecology

3. biosphere

4. forest

5. outside

Step-by-step explanation:

Answer:

ecosystem

 ecology

biosphere

forest

outside

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Answer:

b

Step-by-step explanation:

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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Answer:

48

Step-by-step explanation:

You times 8 by 3 to get 24. Then you multiply 24 by 3 to get 48

Answer:

216

Step-by-step explanation:

8x³

Put x as 3.

8(3)³

Solve for the power first.

8(27)

Multiply both terms.

216