Answer and Step-by-step explanation:
The computation is shown below;
Here we use the binomial distribution
p = 40 ÷ 85 = 0.47
q = 1 -0.47 = 0.53
n = 180
Now
mean [tex]\mu[/tex]
= np
= 180 × 0.47
= 84.6
The Variance is
= npq
= 180 × 0.47 × 0.53
= 44.84
And, Standard deviation
= √npq
= √44.84
= 6.69
We simply applied the above formula so that the correct value could come
And, the same is to be considered
1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answer:
y=1/4x+5
Step-by-step explanation:
Vivek worked 35 hours and earned $385. At this rate, how many hours would it take him to earn $143?
A. 11
B. 13
C. 17
D. 19
HURRY ANSWER IT
Answer:
B. 13
Step-by-step explanation:
Time taken to earn $385 = 35 hours
Time taken to earn $1 = [tex] \sf \dfrac{35}{385} [/tex] hours
[tex] \sf = \dfrac{1}{11} \ hours [/tex]
Time taken to earn $143 = [tex] \sf \dfrac{1}{11} \times 143 [/tex] hours
[tex] \sf = 13 \ hours [/tex]
Allister, who is 5 feet tall, is standing three feet from a mirror lying on the ground. When he looks into the mirror, he can just see the top of a tree that is 24 feet away from the mirror. Make a sketch of this situation, and use it to calculate the height of the tree
Answer:
40 feets
Step-by-step explanation:
Given that :
Observer's height = 5 feets
Observer's distance from the mirror = 3 feets
Distance of tree away from the mirror = 24 feets
To obtain the height of tree:
Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)
Od / Td = Oh / Th
3 / 24 = 5 / Th
3 * Th = 24 * 5
Th = 120 / 3
Th = 40 feets
Hence, the height of tree is 40 feets
Number 10.
Toni opened her piggy bank. She found
that she had saved 712 quarters, 633
dimes, 482 nickels and 17,800 pennies.
What is the ratio of quarters to
pennies?
Answer:
712:17800
Step-by-step explanation:
Use synthetic division 6. (3x2 – 13x – 10) ÷ (x + 5)
Answer: 64
Step-by-step explanation:
Two eighth-grade classes are selling chocolate bars to raise money for an end-of-year field trip. One class is selling chocolate bars for $3.00 each and has already raised $275.00. The other class is selling chocolate bars for $3.50 each and has already raised $250.00. Which equation can be used to calculate c, the number of additional chocolate bars each class needs to sell, so that the total amount raised is the same for both classes?
Answer:
Step-by-step explanation:
you add both $275.00 and $250.00 ($525.00) then and $3.00 and $3.50 ($6.50) then divide $525.00 by $6.50 and then you answer would be $88.00
so c = $88.00
Answer:
3.50c + 250.00 = 3.00c + 275.00
Step-by-step explanation:
mrs.cook wants you to send a package to her friend and in spain. it costs 3$ for the packaging and then $0.20 for each ounce if she paid $15.60 how heavy was the package? be sure to define your variable and show your equation
Answer:
assuming you want the answer in ounces still, its 63 ounces
Step-by-step explanation:
total = $3 + 0.20x
15.60 = 3 + 0.20x
12.60 = 0.20x
63 = x
Answer:
63 ounces
Step-by-step explanation:
0.20x+3= 15.60
-3 -3
0.20x= 12.60
0.20 0.20
x= 63
What is the mDEF? plz help
Answer:
m∠DEF = 148°
Step-by-step explanation:
The total sum of angles inside a triangle is 180°
m∠FDE + m∠EFD + m∠DEF = 180°
We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x
m∠FDE = m∠EFD
2x + 8 = 3x + 4; subtract 2x from both sides
8 = x + 4; subtract 4 from both sides
x = 4; now we can substitute into equations
m∠FDE = m∠EFD;
2(4) + 8 = 3(4) + 4
8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16
To solve for m∠DEF
m∠FDE + m∠EFD + m∠DEF = 180°
16 + 16 + m∠DEF = 180
m∠DEF = 148°
Could someone please answer b?
Answer:
b. The total sum of the money was $330
Step-by-step explanation:
#b
∵ A sum of money is divided among John, Paul, and Robert
∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5
→ Multiply the ratio of each share by x
∴ The share of John = 2x
∴ The share of Paul = 4x
∴ The share of Robert = 5x
→ Find their sum
∴ The sum of the money = 2x + 4x + 5x = 11x
∵ The sum of the money is divided equally among them
→ That means dividing the sum by 3 to find the share of every one
∵ The sum of the money = 11x
∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x
∴ The share of John is larger by $50
→ That means the difference between his shares is 50
∵ [tex]\frac{11}{3}[/tex]x - 2x = 50
∴ [tex]\frac{5}{3}[/tex]x = 50
→ Divide both sides by [tex]\frac{5}{3}[/tex]
∴ x = 30
→ Substitute it in the sum of the money to find it
∵ The sum of the money = 11(30)
∴ The sum of the money = $330
∴ The total sum of the money is $330
15.3614 - 2.0573; hundredths
I need an answer ASAP Thank you!
Answer: The answer is 25/33
Step-by-step explanation:
At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo. How many baby camels are at the zoo? baby camels
Answer:
20
Step-by-step explanation:
15 of the 25 employees at Carlo’s Car Repair wear contact lenses. What percent of the employees wear contact lenses?
Answer:
60%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 .
CAN SOMEONE HELP IM SO CUNFUSED
Answer:
m = 1/3
Step-by-step explanation:
Answer:
Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1
from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.
So to find this answer we could graph the points or just find out how many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)
From -2 to 7 is 9 units and from 1 to4 is 3 units
The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3
Step-by-step explanation:
Help please base 20 points
Answer:
12003612721
Step-by-step explanation:
im pretty sure you multiply it by its self 4 times
Answer:I'm sorry I can't really see what it says but I'm very good at math if you need help with anything else please let me know
Step-by-step explanation: I tried
Mrs. Delgado said that 21 out of 25 students passed the test. What percent did NOT pass the test?
Answer:
16% of the students did not pass the test.
Step-by-step explanation:
Since 25 is 1/4 of 100, multiply it by 4 to equal 100.
Now multiply the percentage passed by 4. This equals 84.
84 out of 100 = 84%
So, the rest of the students(the ones who did not pass) is 16% of the class.
Is X +3 a factor of 2X squared minus 2X -12
Answer: No, x+3 is not a factor of 2x^2-2x-12
========================================================
Explanation:
Let p(x) = 2x^2 - 2x - 12
If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).
Compare x+3 = x-(-3) to x-k to find that k = -3.
Plug x = -3 into the function
p(x) = 2x^2 - 2x - 12
p(-3) = 2(-3)^2 - 2(-3) - 12
p(-3) = 12
We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12
----------------------------------------
Let's see what happens when we factor p(x)
2x^2 - 2x - 12
2(x^2 - x - 6)
2(x - 3)(x + 2)
The factors here are 2, x-3 and x+2
can someone please brainlist
Answer:
yes it is very easy
Step-by-step explanation:
Answer:
Yeah l ready did.
Me and you brainlist friends
Step-by-step explanation:
Which of the following sentences could not be used to represent the equation X-5 = -10? D A number subtracted from five is equal to negative ten. A number less five equals negative ten. de Five less than a number is negative ten. ko If a number is decreased by five, the result is negative ten.
Answer:
Option A is correct
Step-by-step explanation:
The equation that the first option is talking about would be 5-X=-10
4. Michelle spends $25.49 on
groceries. Round her grocery
bill to the nearest dollar.
Pls helppp
Answer:
$25
Step-by-step explanation:
If it was $25.59 then we would round up
But it isn't
So the answer is $25
Answer:
$26
Step-by-step explanation:
25.49,
then 9 will turn to plus 1
making 4 turn into 5
ten making 25 turn into 26
What is the slope of y = -42 - 3?
Mr. Khan and his wife are going to equally share 3 brownies. How many brownies will
they each get?
Answer:
1 1/2
Step-by-step explanation:
3/2= 1 1/2
please help!! lol y=?x+?
Answer:
y= 4x-9
Step-by-step explanation:
(6.72 (-3.5)
plz help
Answer:
-23.52
Step-by-step explanation:
Just multiply them man
It is not that hard im just a little lazy <3
whoever answers it right next gets brainliest
What is equivalent expression 1/x3=?
A. (-x)3
B. X 1/3
C. X-3
Answer:
[tex]C) x^{-3}[/tex]
Step-by-step explanation:
[tex]x^{-3}\\=\frac{1}{x^3}[/tex]
I need help with how will we find y please someone tell me
Answer:
as it is a rectangle[tex]{:}\longrightarrow[/tex][tex]\sf 90+52+y=180[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 142+y=180 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=180-42 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=38°[/tex]
Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get
rearrange 24(x-y)=5x-3 to make y the subject
Answer:
y = [tex]\frac{19x+3}{24}[/tex]
Step-by-step explanation:
Given
24(x - y) = 5x - 3 ← distribute parenthesis on left side
24x - 24y = 5x - 3 ( subtract 24x from both sides )
- 24y = - 19x - 3 ( multiply through by - 1 to clear the leading negative )
24y = 19x + 3 ( divide both sides by 24 )
y = [tex]\frac{19x+3}{24}[/tex]
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Bisect means that the angles are split equally.
RTV would be half of RTS
RTV = 1/2(RTS)
16x-6 = 1/2(26x+18)
Simplify:
16x - 6 = 13x +9
Subtract 13x from both sides:
3x - 6 = 9
Add 6 to both sides:
3x = 15
Divide both sides by 3:
x = 5
Now you have x, replace x in the equation for RTV:
RTV = 16x -6 = 16(5) -6 = 80 - 6 = 74
RTV = 74 degrees.