Answer:
So we will use combinations, as it does not matter what order they get chosen in.
The combinitoric that you will plug in to your calculator is: nCr(12,7)
Therefore, the answer is 792
Simplify.
57.8 – 4.07
Answer:
53.73
Step-by-step explanation:
Find the value of t for the given values of d and r. d = 286, r = 55
What is the inverse of the function g(x)=7x+3/x-5?
Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7
The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.
Consider a group of 800 newborn babies:
1. How many would you expect to weigh between 3 and 8 pounds?
2. How many would you expect to weigh less than 6 pounds?
3. How many would you expect to weigh more than 5 pounds?
4. How many would you expect to weigh between 5.5 and 9 pounds?
Please help and STEP BY STEP PLZ.
Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule
X = 5.5 + 1.6 Z
or
Z = (X - 5.5)/1.6
then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.
1.
Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]
… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]
… ≈ 0.8818
Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.
2.
Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]
… = Pr[Z ≤ 0.3125]
… ≈ 0.6227
Out of 800 babies, around 498 will weigh less than 6 pounds.
3.
Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]
… = Pr[Z > -0.3125]
… ≈ 0.6227
same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.
4.
Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]
… = Pr[0 ≤ Z ≤ 2.1875]
… ≈ 0.4857
Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.
Solve for X I will mark brainliest
3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.
The standard deviation of the grade points average of the college seniors is 0.57.
The given parameters:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9
The sum of the given data is calculated as follows;
∑x = 3.2 + 1.9 + 2.7 + 2.4 + 2.8 + 2.9 + 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9
∑x = 53.3
The mean of the distribution is calculated as follows;
[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]
The square of the difference between the grade point and the mean;
[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]
The standard deviation of the grade points is calculated as follows;
[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]
Thus, the standard deviation of the grade points average of the college seniors is 0.57.
Learn more about standard deviation here: https://brainly.com/question/12402189
The point (5, -3) is a solution to which system?
A.
y = x - 8
2x + y = 7
B.
y = x + 5
y = x - 3
C.
y = x - 5
y = x + 3
D.
y = x - 8
-2x + y = 7
Answer:
A
Step-by-step explanation:
Did the test
solve the inequality 2x+2-6x<32
x>−15/2
15/2 is a fraction
Help me out Ik you love Algebra as much as I do
Answer:
pop
yes no total
country yes 11 38 49
no 43 8 51
total 54 46 100
Hope you understand this haha
The answer is in the file. Hope it helps.
Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.
Step-by-step explanation:
is it like this ? no diagrams ?
8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?
Answer:
$200 at 5%$800 at 6%Step-by-step explanation:
Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...
0.05(1000-x) +0.06x = 58
50 +0.01x = 58 . . . . . . . . . . . simplify
0.01x = 8 . . . . . . . . . . . . . . . subtract 50
x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%
(1000-x) = 200 . . . . . . . find the amount invested at 5%
Lara invested $200 at 5% and $800 at 6%.
Find the x-intercepts.
y =
2x2 + 5x + 2/
x2 - 4x + 3
Answer:
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]
[tex]0=(2x+1)(x+2)[/tex]
[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?
Answer:
3 liters
Step-by-step explanation:
The diagram below shows triangle ABC NCDE angle B AC in angle DCA or right angle species congruent to a D proof triangle ABC is congruent to triangle CDA which roles are incorrect and explain
A. AC≅AC, Reflexive Property of Congruence
Correct. This is shared side of the triangles ABC and CDA
B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
Correct. BC and AD are parallel and AC is transversal
C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
Correct. AB and DC are parallel and AC is transversal
D. △ABC≅△CDA, SAS Triangle Congruence Theorem
Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.
Answer:
The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct
Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.
Last one is correct, it's SSA
Need help with question please!
Answer:
You got this just keep trying i know you can do it even if it is really hard
Step-by-step explanation:
t•t•t•t•t•t•t rewrite using exponents
Answer:
t^7
Step-by-step explanation:
there are 7 ts so it is t to the power of 7
What is the next term of the AP √2, √8 , √18 ......?
Given terms in an AP are √2,√8,√18
√8 = √(2×2×2) = 2√2
√18 = √(2×3×3) = 3√2
The AP : √2,2√2,3√2
next term = 4√2> √(4×4×2)
⇛ √32
The next term of the AP = √32.
also read similar questions: The next term of the AP root 8, root 18,root 32 is...........
https://brainly.com/question/17287744?referrer
Which term of the AP:3, 8, 13, 18,...,is 78?
https://brainly.com/question/15380012?referrer
If the letters in the word NEIGHBOR are
randomly rearranged, what is the probability
that the arrangement ends with the letter B?
Hey, I just have one question, what is 8y −5 < 3?
Answer:
y < 1
Step-by-step explanation:
In order to solve this inequality, we must isolate the y variable.
First add 5 on both sides of the inequality sign:
Now you have 8y < 8.
Then divide by 8 on both sides, to get y alone:
Now you have y < 1.
Hope this helps you :)
Help please hhjhhkkkki
Answer:
000
Step-by-step explanation:
000
Answer:
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]
Step-by-step explanation:
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = \lim_{x\to 0^+} \tan(x) - \lim_{x\to 0^+} \frac{1}{x^2} $[/tex]
and
[tex]$\lim_{x\to 0^+} \tan(x) = \tan(0) = 0$[/tex]
[tex]$\lim_{x\to 0^+} \frac{1}{x^2} = +\infty$[/tex]
Therefore,
[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]
basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
Is the square root of 76 closer to the interger 8 or 9
What is the equation of this line?
a.y = 2x
b.y=−12x
c.y=12x
d.y=−2x
Answer:
Im thinking its y=-2x but Im not 100% sorry if its wrong
A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.
Answer:
45+x = 71
26 players were added
Step-by-step explanation:
We start with 45 players
We ended with 71 players
We added x players
45+x = 71
Subtract 45 from each side
45+x-45 = 71-45
x =26
We added 26 players
ATQ
[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]
[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]
[tex]\\ \sf{:}\dashrightarrow x=26[/tex]
Help find the value X
Answer:
x=61
Step-by-step explanation:
2x-6+x+3=180
3x-3=180
3x=183
x= 61
For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?
Answer:
B is empty
Step-by-step explanation:
Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answer:
Step-by-step explanation:
At a vehicle dealership 5 cars are sold for 2 trucks. Last year the dealership sold 128 trucks how many cars did they sell?
Pls help this is the hardest one i have
let x represent the larger number4x+(x-2)^2=16
I have no clue I just need the points have a good day tho :)
f(x) = 1/3x + 1 if x=-18
Answer:
7
Step-by-step explanation:
1/3*(-18) + 1 = 7
Just plug in the x which is -18, and solve with a calculator.
Hope this helps!