Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54
Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.
Answer:
Part A
The 10% rule is not met
Part B
The normal condition is not met
Step-by-step explanation:
The given data of the pieces of chocolate are;
The number of chocolates in the sample, n = 18
The number of white chocolate in the batch = 17
The number of dark chocolates in the batch = 43
Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;
The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]
Part A
The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials
The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28[tex]\overline 3[/tex] = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ
cause a dictionary contains all known words including dictionary..my turn!.look in the comments!
what is 80% as a decimal rounded to the nearest hundredth
Answer:
0.8
Step-by-step explanation:
80 percent is 80/100. Decimal point 100 would be just 1. Hence 80 percent would be 0.8/
Simplest form
X^3-X^2+16x-16
Answer:
x = − 1 , − 4 , 4
Step-by-step explanation:
Brainiest please and thank you
Philip bought a pair of jeans that were on sale. The jeans cost $45 before the sale. The sale discount was $9.
Which percent shows the discount Philip got on his jeans?
Answer: It’s 5%
Step-by-step explanation:45 divided by 9 is 5 so that the answer :)
HELPP
Simplify: (x^3y^-3/ x^2y) ^-3
Answer:
A i the answer
Step-by-step explanation:
the duration of a movie is 3 hours and 15 minutes if it starts at 6:30pm at what time will it end?
Answer:
9:45pm
Step-by-step explanation:
3 hours= 9:30pm
3 hours including 15 minutes= 9:45 pm
please simple answers i had state testing today
Answer:
The mode is 10. The range is 6. The IQR is 5.
Step-by-step explanation:
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
12/25
Step-by-step explanation:
The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.
Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x .
Answer: [tex]x(x+4)[/tex]
Step-by-step explanation:
Given
The rug is 4 feet longer than its width
Suppose the length of the width is x
Length is given by x+4
So, the product of length and width is equal to the area of the rug
[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]
AREA OF CIRCLES PLS HELPP
Answer:
r = 3 ft
Step-by-step explanation:
A = πr²
9π = πr²
9π/π = r²
9 = r²
√9 = r
3 = r
Hope this helps!
The graph below shows the equation y=2x+4
2
In the space below, describe the effect on this graph if the equation were changed to y=3x+4
Answer:
C. the lines will be intersecting but neither parallel nor perpendicular
Step-by-step explanation:
changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0
y = 2x + 4
y = 2(0) + 4 = 4
y = 3x + 4
y = 3(0) + 4 = 4
Answer:
Step-by-step explanation:
If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.
Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°
Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81
Answer:
81
Step-by-step explanation:
(-81)(-1) = 81
What is the common ratio?
5, -10, 20, -40, 80
What is the 15th term of the sequence?
Step-by-step explanation:
Use the above formula
-5 is the difference between the numbers..
hope you understood..
I need help with math
Answer:
Its the second one
Step-by-step explanation:
Find the surface area.
If f(x) = x2 - x, what is f(-3)?
Answer:
Step-by-step explanation:
Putting value of x = - 3 in the equation
f(x) = x2 - x
f(-3) = (-3)^2 - (-3)
= - 9 + 3
= - 6
what number goes into the missing space
Answer:
12
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzz
Answer:
b) 12
Step-by-step explanation:
The first image shows the top 2 numbers as 5 and 2 = 5 * 2
=> 10
The Second image shows the top 2 numbers as 3 and 3 = 3 * 3
=> 9
So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6
=>12
Therefore, the missing space in the third circle is b) 12
Hope it helps :)
. What are the two factors of 3x^2+
13x + 14
Answer: im pretty sure it is 3x and 13x
Step-by-step explanation:
pls mark brainlest
Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?
Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle
The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
You and three of your friends go parasailing for 128.40 you split the cost
evenly. How much does each person pay?
Answer:
40 each i think maybe 30 if not
hi! please help i’ll give brainliest
Answer:
third option mechanical weathering
Step-by-step explanation:
in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .
Answer: Mechanical weathering
Step-by-step explanation:
its math algebra 1 i need help
Answer:
The 3rd one which is C
Step-by-step explanation:
It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!
Pls help me with this one
Answer:
c
Step-by-step explacnation:
Answer:
D
Step-by-step explanation:
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
275^2 please answer this question
Answer:
75,625
Step-by-step explanation:
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28