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A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your answer as a fraction in simplest form.
M
Answer:
61%
Step-by-step explanation:
7g+3b= 7th grade
4g+4b= 8th grade
70% chance of a girl getting picked from 7th grade
50% chance of a girl getting picked from 8th grade class
11g+7b= both classes
about 61% chance for both classes to be a girl picked?
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 °
What is the fraction 7/12 as a product of a whole number and a unit fraction
Answer:
7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.
Step-by-step explanation:
Lavilla is a famous resort in Italy. All of its rooms are always booked in the winter season. On average, 2800 skiers come to the resort every week (7 days). On average, skiers stay in Lavilla for 4 days. Each skier spends $40 daily in local restaurants. Question 1 (1 point) The average number of skiers in Lavilla is: _____________ [skiers].
Answer:
The average number of skiers in Lavilla are 1,600 skiers
Step-by-step explanation:
The number of skiers that come to Lavilla on average each week = 2,800 skiers
The number of days each skier stays in Lavilla = 4 days
The amount each skier spends in local restaurants daily = $40
According to Little's Law, we have;
L = λ·W
Where;
L = The average number of skiers in Lavilla
λ = The effective arrival rate of the skiers = 2,800 skiers per week arrive
W = The number of days each skier stays at Lavilla = 4 days = 4/7 week
The average number of skiers in Lavilla, 'L', is therefore, given as follows;
L = 2,800 skiers/weel × (4/7) week = 1,600 skiers
The average number of skiers in Lavilla, L = 1,600 skiers
One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?
A 2:3
B 1:6.4
C 1:16
D 1:64
Answer:
Step-by-step explanation:
d₁ = 6 inches
r₁ = 3 inches
area = πr₁² = 9π in²
d₂ = 24 inches
r₂ = 12 inches
area = πr₂² = 144π in²
ratio of areas = (9π)/(144π) = 9/144 = 1/16
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
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
Can you help if your are eligible to?
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 .
laShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answer:
C. 2 years at 6.5 percent
Step-by-step explanation:
I took the quiz and got it right Edg.2021
6. Let E, F, G be three events. Find expressions for the events that of E, F, G a. only E occurs; b. both E and G but not F occur; c. at least one of the events occurs; d. at least two of the events occur; e. all three occur; f. none of the events occurs; g. at most one of them occurs; h. at most two of them occur; i. exactly two of them occur; j. at most three of them occur.
Answer:
a.) only E occurs :
E((FUG)')
b.) both E and G but not F
EG(F')
C.) Atleast one of the events :
(E U G U F)
d.) Atleast two of the events
(EG U EF U GF)
E.) all three occurs
(EGF)
F.) none of the events occur :
(E U G U F)'
G.) At most one of the events occur
(EG U EF U GF)'
H.) at most two of them occur
(E' U G' U F')
I.) exactly two of them occur;
(EG U EF U GF) * (EGF)'
j. at most three of them occur.
EFG U (EFG)'
Step-by-step explanation:
Events = {E, F, G}
a.) only E occurs :
E((FUG)') ; E and not F or G
b.) both E and G but not F
EG(F') ; both E and G and not F
C.) Atleast one of the events :
(E U G U F) ; Either E or F or G
d.) Atleast two of the events
(EG U EF U GF) ; Either EG or EF or GF occurs
E.) all three occurs
(EGF) ; All three events, E, G and F occurs
F.) none of the events occur :
(E U G U F)' ; Neither E, G nor F occurs
G.) At most one of the events occur
(EG U EF U GF)' ; complement of atleast two) at most one
H.) at most two of them occur
(E' U G' U F') ; Either E , F or G does not occur
I.) exactly two of them occur;
(EG U EF U GF) * (EGF)' ; Exactly two events occurs and all three events Do not occur
j. at most three of them occur.
EFG U (EFG)' ; All three events occur union all three events do not occur
A recipe includes 9 cups of flour and three fourths
cup of milk. Write the ratio of the amount of flour to the amount of milk as a fraction in simplest form
Answer:
12/5
Step-by-step explanation:
9 : 3 3/4
9 : 15/4 change to improper fraction
36/4 : 15/4 LCD, 4
36 / 15 compare
12 / 5 reduce
Can one of you guys pls help
Answer:
Puts the dots where the A,B,C,D dots are and move them 5 units to the right.
Example:
Original place
A=(2,5)
Moved 4 units to the right:
A'=(6,5)
Here are some tips:
Up= Y value goes up
Down= Y value goes down
Right= X value goes up
Left X value goes down
mq/t=s/v solve for t
Answer:
t = mqv/s
Step-by-step explanation:
see pic for 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
Find the measure of each angle. Assume the lines are parallel
m<2 =
m<3=
m<4=
m<5 =
m<6 =
m<7=
m<8=
Please please please help
Will give brainily
Answer:
angles 3 5 and 7 equal 113
angles 2 4 6 and 8 equal 67
#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
What dose that sing mean before the square root mean and also what is the answer
The thing before the square root means that the answer can be positive and negative.
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]
Find the mean, median, and mode of the data.
2,4,3 1,5
A car dealership decreased the price of a certain car by 12%. The original price was $37,400.
Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price= × Original price
Use your answer in part (a) to determine the new price. Newprice: $
Answer:
(b) The new price of car is $43584.
Step-by-step explanation:
State the name of the property illustrated below.
(23+ 8) + 5 = 23+ (8 + 5)
What property is used
Answer:
Step-by-step explanation:
This is the associative property for addition. In informal language, it says under addition, the order of the addition is not critical.
Crystal receives a monthly salary of $3,980. Find her earnings per year and earnings per week.
Answer:
per year: $47,760 per year
per week: $918.46 per week
Step-by-step explanation:
$3980 per month x 12 months = $47,760 per year
$47,760 per year divided by 52 weeks = $918.4615384615
Since we're talking money, let's round off our answer to the hundredths place ($918.46 per week)
Double check our answer (918.46 x 52 = 47,760) great!
Answer:
47760 per year
918.46154 per week
Step-by-step explanation:
$3,980 x 12= $47760
$47760/52= $918.46154
I REALLY NEED HELP ITS WORTH 30 POINTS
Answer:
1) x < 30
2) x > 20
3) x >= 250
4) x > 20
5-10) I cant see the numbers on the graph
Step-by-step explanation:
Answer:
For the graphs you have to basically make those words into a mathematical equation to make more sense like for the first problem in which..
x>30
remember, open circles mean that its it can't be greater for symbols like < and >
closed circles are for inequalities that are greater than or equal to or less than or equal to which are these symbols: ≤ and ≥
Data was collected on the amount of food (in grams) served at two restaurants and the price paid for the meal. The regression line for the data appears on the first plot. The second plot shows the regression analysis conducted when the data is analyzed separately for each of the two restaurants. Which of the following statements best describes the relationship between the variables?
a. The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.
b. The correlation between amount of food served and price is strong.
c. The correlation between amount of food served and price is weak within each restaurant, but seems strong when both restaurants are combined.
d. The correlation between amount of food served and price is weak.
Answer:
Option A, The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.
Step-by-step explanation:
The graphs for this question are provided in the attachment
Solution -
Graph I - the data points in the graph I do not follow any best fit curve or trendline. This indicates that data is not correlated.
Graph -II In graph II, apart from few outliners majority of data points lie on the best fist curve or the trendline.
Hence, the relation between the two variables i.e food served and price is strong.
Option A fits well for our answer hence it is the correct answer
The product of 8 and x is great than 50.
Answer:
The product of 8 and 7 is greater than 50
Answer:
8x > 50
Step-by-step explanation:
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.
can u pls help me with this question 2
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