For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 9. What is the probability that a randomly
selected male's systolic blood pressure will be less than 100, to the nearest
thousandth?

Answer:

y=1/3x-3

I hope i helped you guy.

Answer:

A) 32.5 *but there's a typo... it's supposed to be 23.5)

Step-by-step explanation:

The area of the whole triangle is 31.5 sq. in. Then, subtracting the area of the cutout (8 sq. in.) from the triangle (31.5 sq. in.) will give you a final answer of 23.5 sq. in. I think the teacher messed up and did 32.5 instead of 23.5

Answer:

has no solution.

Step-by-step explanation:

you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.

Answer:

infinite solutions  

Step-by-step explanation:

you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.

-7(y= 1.5x - 6) which equals the equation below

-7y= -10.5x-42 then combine the other equation

7y=10.5x+42 and that equals

0=0

Answer:

D 18

Step-by-step explanation:

Answer:

7/100×300 you get 21 lol

Answer:

7% of 300 = 21

Step-by-step explanation:

Here's how it's done:

7 ÷ 100 × 300 = 21

Hope this helps! :)

Answer:

b=123

c=123

Step-by-step explanation:

Step-by-step explanation:

In this arithmetic sequence, the common difference d is 7. You can find this by subtracting a term from the consecutive term: 16 - 9 = 7, 23 - 16 = 7. In order to find the next four terms, keep adding 7 to the previous term. The next four terms are 30, 37, 44, and 51.

Answer:

Step-by-step explanation:

[tex]a_{1}[/tex] = [tex]\frac{3}{4}[/tex]

d = - [tex]\frac{1}{4}[/tex]

[tex]a_{2}[/tex] = [tex]\frac{3}{4}[/tex] + ( - [tex]\frac{1}{4}[/tex] ) = [tex]\frac{1}{2}[/tex]

[tex]a_{3}[/tex] = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]a_{4}[/tex] = - [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{3}{4}[/tex]

[tex]a_{5}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{1}{4}[/tex] = - 1

Answer:

84

Step-by-step explanation:

  x12

Simplify   ———

           x14

Dividing exponential expressions :

1.1    x12 divided by x14 = x(12 - 14) = x(-2) = 1/x2

Final result :

  1

 ——

 x2

Answer:

225.1°

155mph

Answer:

50

Step-by-step explanation:

Alex is 10 years old because he is twice as old as his 5 year old brother. Therefore Alex's father is 50 years old because he is five times older than Alex.

Answer:

The other endpoint is (11,-9)

Step-by-step explanation:

Midpoint Formula

[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]

We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)

Solve the equation for both terms.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Cancel the denominator by multiplying the whole equation by 2.

[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]

Isolate x-term and y-term.

[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]

Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.

Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)

Answer:

24179 square inches

Step-by-step explanation:

In ΔRST, r = 620 inches, s = 840 inches and t=230 inches. Find the area of ΔRST to the nearest square inch.

We use the formula

Heron's formula = √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

Solving for s

s = 620 + 840 + 230/2

s = 845

Solving for the area of the triangle

= √845 × (845 - 620) × (845 - 840) × (845 - 230)

= √584634375

= 24,179.213696893 square inches

Approximately = 24179 square inches

Answer:

620+0.15x=total payment

Step-by-step explanation:

It is the price of the recipe plus the amount the representative gets per bottle sold. Replace x with the number of bottles sold and multiply it by the 0.15. Add the 620 and you get your total.

Answer:

a

Step-by-step explanation:

the plots are going up from the origin which means its positive and linear

Answer:

24 feet

Step-by-step explanation:

The formula for the height of a trapezoid =

h = 2A/ a + b

A = 960 square feet

a = 30 feet

b = 50 feet

h = 2 × 960/30 + 50

h = 1920/80

h = 24 feet

Answer:

2248+2224.91= 4472.91

Step-by-step explanation:

A = $2,248.00

I = A - P = $248.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.1%/100 = 0.031 per year.

Solving our equation:

A = 2000(1 + (0.031 × 4)) = 2248

A = $2,248.00

The total amount accrued, principal plus interest, from simple interest on a principal of $2,000.00 at a rate of 3.1% per year for 4 years is $2,248.00.

A = $2,224.91

A = P + I where

P (principal) = $2,000.00

I (interest) = $224.91

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.7/100

r = 0.027 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 2,000.00(1 + 0.027/1)(1)(4)

A = 2,000.00(1 + 0.027)(4)

A = $2,224.91

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 2.7% per year compounded 1 times per year over 4 years is $2,224.91.

Answer:

huh i am very confused

Step-by-step explanation:

Answer:

how do we find the value of x and y if there's no equation so please write your question

Answer:

Since, I could not answer your last question, I have tried to explain WHY SUM OF CO INTERIOR ANGLE IS 180°

Step-by-step explanation:

Blah blah blah...

Answer:

18x≤54

Step-by-step explanation:

Jenny can only cut multiples of 18. x represents the number of pieces that Jenny can cut in order to satisfy the condition that she cuts less than or equal to 54 inches of rope total.

Answer:

$100

Step-by-step explanation:

Multiply 250 by 2. Then, divide that by 5

Answer:

The answer is false

Step-by-step explanation:

$83 + 60% = $132.8

Hi

5x²+x =  x ( 5x +1)

Answer:

(5+1)

Step-by-step explanation:

Answer:

C≈25.13ft

Step-by-step explanation:

C=2πr=2·π·4≈25.13274ft

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

Answer:

they sleep for 20/24 percent of the day or 4.8 percent.

Step-by-step explanation:

Answer:

Solution: 36x2−9

Step-by-step explanation:

So, you always have to start with distrubuting which is basically dividing.

Heres the equation that I started with. You can do it differently of course.

36x2+18x-3(6x+3)

combine like terms.

36x2-9

, your solution will be

36x2-9