Answer:
3/5
Step-by-step explanation:
To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)
The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.
Given :
There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.
The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:
Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.
Step 2 - The probability that the socks come out is black socks is given below:
[tex]\rm P_b = \dfrac{18}{12+18}[/tex]
[tex]\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}[/tex]
Step 3 - The probability that the socks come out is navy socks is given below:
[tex]\rm P_n = \dfrac{12}{12+18}[/tex]
[tex]\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}[/tex]
Step 4 - Compare both the probability.
[tex]\rm P_b>P_n[/tex]
So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
For more information, refer to the link given below:
https://brainly.com/question/795909
PLS HELP ILL GIVE BRAINLIEST!
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Step-by-step explanation:
A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answer:
4 cups
Step-by-step explanation:
if m=2 and b=-5, what is the equation of the line in slope intercept form
Answer:
y=2x-5
explanation:
y=mx+b
Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.
Answer:
ART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Step-by-step explanation:
PART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
What are the 4 main types of transformations?
translation
congruence
rotation
reaction
reflection
dilation (aka enlargement)
vertices
Answer:
The 4 main transformation is a translation, rotation, reflection, dilation.
Step-by-step explanation:
There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
A fundraiser agrees to donate an extra $75 for every $100 the school raises through selling cookies what is the constant of the proportionality
Answer:
3/4 or 0.75
Step-by-step explanation:
Find the mean, median, and mode of the data.
2,4,3 1,5
1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
CAN SOMEONE PLEASE HELP
Step-by-step explanation:
The answer is down here
1. 8
2. 2
3. b
4. f
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer:
32 units²
Step-by-step explanation:
this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length
formula is: 1/2(height) x (sum of bases)
A = 1/2(4)(4 + 12)
A = 2(16)
A = 32
What is equivalent to 3;4
Answer:
6;8
3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.
Solve for a.
12 =-2a + 6
Answer:
a=-3
Step-by-step explanation:
First, subtract 6 from both sides
6=-2a
divide -2 from both sides
-3=a
#9 Consider the expression 9x - 4b + 3. Select all of the statements below
that are true.*
There are 2 variables in the expression.
9 is the only coefficient in the expression
There are 2 terms in the expression.
3 is the constant in the expression
There are 3 terms in the expression
I need help plz
Answer:
Step-by-step explanation:
True:
- There are two variables
- 3 is the constant
- There are 3 terms in the expression
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease
Answer:
500$ dollars
Step-by-step explanation:
If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.
Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?
Answer:
1.25
Step-by-step explanation:
a = 10 and r = 0.5
The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.
In this case n = 4, since we're looking for the fourth term.
so,
Un = ar^n-1
= ar^4-1
= ar^3
U4 = 10 × 0.5^3
= 10 × 0.125
= 1.25
Find the area of the octagon.
The area is _
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
(45 + 33) +7 = 45 + (33 + 7)
What property is that
Answer:
Associative
Step-by-step explanation:
б – 3 = 3 + 6
Solving for the variable
Answer:
Step-by-step explanation:
Um well the variable would be 12
Answer:
The answer is 12
Step-by-step explanation:
Solve for it by simplifying both sides of the equation, then isolating the variable.
Hoped this helped!
Brainly, please?
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answer:
12
Step-by-step explanation:
3 times 4 is 12
88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?
Answer:
a) [tex]P(D'/L)=0.03[/tex]
b) [tex]P(D/L')=0.7[/tex]
Step-by-step explanation:
From the question we are told that
Probability of discovered [tex]P(D)=0.88[/tex]
Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]
Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]
Generally the probability that aircraft are not discovered is mathematically given as
[tex]P(D')=1-0.88[/tex]
[tex]P(D')=0.12[/tex]
Generally the probability that aircraft with locator are discovered is mathematically given as
[tex]P(L'/D)=1-0.72[/tex]
[tex]P(L'/D)=0.28[/tex]
Generally the Probability of lost aircraft without locator mathematically given as
[tex]P(L/D')=1-0.86[/tex]
[tex]P(L/D')=0.14[/tex]
Generally the Probability of having a locator mathematically given as
[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]
[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]
[tex]P(L)=0.6504[/tex]
a)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]
[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]
[tex]P(D'/L)=0.0258302583[/tex]
[tex]P(D'/L)=0.03[/tex]
b)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]
[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]
[tex]P(D/L')=0.704805492[/tex]
[tex]P(D/L')=0.7[/tex]
The ferris wheel with a diameter of 150 feet at the fair is out of control and is moving at 60 degrees per second. How many miles per hour is someone moving as it spins out of control?
*There are 5,280 feet in a mile.
Answer:
Step-by-step explanation:
Define/explain the symmetric property.
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
What is the measure of the missing angle
in the triangle below?
38
A 58°
B 52°
C 48°
D 42°
Answer:
B. 52°
Step-by-step explanation:
x + 38 + 90 = 180
x + 128 = 180
x = 180 - 128
x = 52°
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
At a pet store, a survey was taken asking how many pets each person had. The
results were: (2,5, 3, 1, 0, 4, 2, 7,0, 2, 7,3). What is the mode?
Answer:
2
Step-by-step explanation:
We have these numbers: 2, 5, 3, 1, 0, 4, 2, 7, 0, 2, 7, 3
The mode is the most common value. I can see 3 two's in the data set. The mode is 2.
#SpreadTheLove <3
Which sentence from the text best supports the narrator’s view of Paul as a giant of a man?
A.
“Feeding Bunyan’s crews of ravenous loggers was a big job.”
B.
“Paul dealt with the challenge by digging down to find the tops of the tall pine trees and lowering his loggers to chop logs.”
C.
“Driving logs upstream is impossible, but an impossible job never stopped Paul.”
D.
“To his surprise, when he tried to move the logs, he discovered the lake had no outlet to the river.”
Answer:
The answer is B
Step-by-step explanation:
I did the test and got it right