Answer:
20
2.9
Step-by-step explanation: khan
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.8 and a standard deviation of 67.2. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0? b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
Answer:
a. 68%
b. 99.7%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 246.8
Standard deviation = 67.2
a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0?
By the Empirical Rule, approximately 68%.
b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
45.2 = 246.8 - 3*67.2
448.4 = 246.8 + 3*67.2
Within 3 standard deviations of the mean, so approximately 99.7%.
The adjacent sides of a rectangle are -6p3+ 7p2q2+ pq and 7pq –5p3+ 9p2q2. Find its perimeter.
Answer:
its 938q2, your welcome!!!
Step-by-step explanation:
Simplify the following expression completely: v^13*v^14
____________________________
1.) Multiply:[tex]13+14=27[/tex]- When multiplying powers of the same base, all you have to do is add the exponents to multiply them.
So your answer is [tex]\bold{v^{27}}[/tex].
____________________________
Mrs law bought 1/2 of a cake. She cut it into 4 equal pieces. What fraction of the whole cake is each piece. A. 1/4. B. 1/2. C. 2/3. D. 1/8
Answer:
d
Step-by-step explanation:
Answer:
It would be d since its 1/2 and there asking for the whole cake
Solve the right triangle round your answer to the nearest tenth
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas. Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds.
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]
The manager can select a team in 61425 ways.
The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?
Answer:
The correct answer should be A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is the solution of the equation 5* - 1 = 45? Round your answer to the nearest ten-thousandth.
Answer:
The answer is 3.3652
Step-by-step explanation:
Find the number in the thousandth place
5
and look one place to the right for the rounding digit
2
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
3.365
Daniel wants to buy a used car to get back and forth to work
Answer:
thats good on daniel it will save him time.
Answer:
Yea it will save him time
Step-by-step explanation:
There's no question so...
Find the midpoint of the segment with the following endpoints
(9.9) and (1.-1)
Answer:
(5,4)
Step-by-step explanation:
To find midpoint you just find out how far apart the points are and divide it by half. For example our x values are 9 and 1. 9 and 1 are 8 points away. Half of 8 is four so 9-4 is 5. Remember midpoint is the MIDDLE.
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
seventeen degrees(17⁰)
36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answer:
9,4
Step-by-step explanation:
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
A student ask the question, "what is a plant?" this is NOT a testable question because. SCIENCE
A parallelogram is formed by the supports that
attach a basketball backboard and rim to the wall.
The angles change as the basketball apparatus is
taken out and put away. Find mZBCD when
m ZDAB = 320
Answer:
[tex]m\angle BCD = 32^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]m\angle DAB = 32^{\circ}[/tex]
See attachment for basketball blackboard
Required
Find [tex]m\angle BCD[/tex]
In the attachment:
[tex]m\angle BCD[/tex] and [tex]m\angle DAB[/tex] are opposite angles
And in a parallelogram, opposite angles have the same measure.
This implies that:
[tex]m\angle BCD = m\angle DAB = 32^{\circ}[/tex]
So:
[tex]m\angle BCD = 32^{\circ}[/tex]
determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;
Answer:
obtuse
Step-by-step explanation:
Let 5 = a, 7 = b, 10 = c
if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem
If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4
if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3
a^2 = 25
b^2 = 49
c^2 = 100
25 + 49 < 100, therefore the triangle is an obtuse
-x+5y=8 3x+7y=-3 find the equation
Answer:
The solution to the system of equations be:
[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]
Step-by-step explanation:
Given the system of equation
[tex]\begin{bmatrix}-x+5y=8\\ 3x+7y=-3\end{bmatrix}[/tex]
Multiply -x+5y=8 by 3: -3x+15y=24
[tex]\begin{bmatrix}-3x+15y=24\\ 3x+7y=-3\end{bmatrix}[/tex]
Add the equations
[tex]3x+7y=-3[/tex]
[tex]+[/tex]
[tex]\underline{-3x+15y=24}[/tex]
[tex]22y=21[/tex]
solving 22y=21 for y
[tex]22y=21[/tex]
Divide both sides by 22
[tex]\frac{22y}{22}=\frac{21}{22}[/tex]
Simplify
[tex]y=\frac{21}{22}[/tex]
For -3x+15y=24 plug in y = 21/22
[tex]-3x+15\cdot \frac{21}{22}=24[/tex]
Subtract 15 · 21/22 from both sides
[tex]-3x+15\cdot \frac{21}{22}-15\cdot \frac{21}{22}=24-15\cdot \frac{21}{22}[/tex]
[tex]-3x=\frac{213}{22}[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{\frac{213}{22}}{-3}[/tex]
[tex]x=-\frac{71}{22}[/tex]
The solution to the system of equations be:
[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]
I need help. What is an example of data where the Empirical Rule applies?
Answer:
Each animal lives to be 13.1 years old on average (mean), and the standard deviation of the lifespan is 1.5 years. If someone wants to know the probability that an animal will live longer than 14.6 years, they could use the empirical rule.
Factor to write an equivalent expression for -9x+15y
Answer:
Step-by-step explanation:
-9x +15y = 3(-3x +5y) = -3(3x - 5y)
The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The given expression is given as follows:
-9x + 15y
It is required to find the factorization of the given expression.
As per the question, we have
-9x + 15y
To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:
-9x + 15y = 3(-3x + 5y)
Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ3
If lia has 1,00000$ and she spend 2,000 on her nails and feet to get done then.She buys new chanel shoes that cost 1,000 and then buys 400$ worth of clothes how much money will be left? Pls help
Answer:she will have 96,600
Step-by-step explanation:
Hope this helps
Find the equation of the linear function represented by the table below in slope-
intercept form.
х
у
1
8
2
12
3
16
4
20
Answer:
y = 4x+4
Step-by-step explanation:
Using the coordinate point (1, 8) and (2, 12) from the table
Slope m = 12-8/2-1
m = 4/1
m = 4
Get the intercept
Substitute m = 4 and (1, 8) into y = mx+c
8 = 4(1) + c
8 - 4 = c
c = 4
Get the required equation
y = 4x + 4
Hence the required linear equation is y = 4x+4
What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours
Answer : -302.6
Step-by-step explanation:
Given that f (x) = x help me plz
Answer:
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x + x + 12
f(x) + g(x) = x^2 - x + 12
(f + g)( -1) = 1 + 1 + 12 = 14
f(x) - g(x) = x^2 - 2x - x - 12
f(x) - g(x) = x^2 - 3x - 12
(f + g)(-1) = (-1)^2 -(3)(-1) -12
(f + g)(-1) = 1 + 3 - 12
(f + g)(-1) = - 8
Question 8
An even function g has the point (-9,-2) on its graph.
What are the coordinates of another point on the graph of g?
Answer: (9, -2)
Step-by-step explanation:
Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.
Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).
Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.
Simplify.
1.25x+7−3x−4+x
_____ x + ______
Answer:
:)
Step-by-step explanation:
ta da, hope this is what you're looking for
Answer:
0.75x+3
Step-by-step explanation:
help HELP HELPPPPPPP PLSSSSSSSSSS
Answer:
there are 6 more girls than boys
Step-by-step explanation:
i hope this is right good luck!:)
Humpty Dumpty sat on a wall, admiring his new digital watch which displayed hours
15:21
and minutes only. He noticed that it was when Jack and Jill set up the hill, but that
when they later came tumbling down again his watch showed only 10:51. At that point
Humpty realised that he'd had his watch on upside down all the time! How long did Jack
and Jill take to go up the hill and down again?
hours
Dand
minutes
Answer:
The time was actually showing 15:01 so it takes them 20 minutes i think?
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answer:
1478.67
Step-by-step explanation:
What is 5/10 = x/100
Answer:
= 50
Step-by-step explanation: