Answer:
7 recipes could be made with [tex]2\frac{1}{3}[/tex] cups of sugar.
Step-by-step explanation:
Quantity of sugar required for a recipe [tex]=\frac{1}{3}[/tex] cups
Quantity of sugar required in a pantry [tex]=2\frac{1}{3}[/tex] cups
Here,
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
So,
Quantity of sugar required in a pantry [tex]=\frac{7}{3}[/tex] cups
Number of recipes that could be made [tex]=\frac{\frac{7}{3} }{\frac{1}{3} } =7[/tex]
Therefore, 7 recipes could be made with [tex]2\frac{1}{3}[/tex] cups of sugar.
You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit consists of cards numbered 2 - 10, a jack, a queen, a king, and an ace.
You select one card at random from the deck. Let A be the event that the randomly selected card is a club and
let B be the event that the card is a 5. Based on this information, answer the following questions.
What is P(A), the probability that the card is a club?
What is P(B), the probability that the card is a 5?
What is P(A and B), the probability that the card is a club and a 5?
What is P(BA), the conditional probability that the card is a 5 given that it is a club?
Is P(BA) = P(B)? Are the events A and B independent?
Answer:
P(A)=0.25
P(B)=0.077
P(AB)=0.192
P(BA)=0.083
Check below for the full numbers, I rounded it for you.
Step-by-step explanation:
What is P(A), the probability that the card is a club?
So whenever you get a deck of cards you'll have 52 which have 4 suits, think of it like UNO, and club is one of the suit's name! This mean all this question is asking you is the probability of getting a club out of the 52 cards which is
52/4=13
So we know that there is 13 club cards.
Meaning the probability is a 25% since you can only get it 1/4 of the time.
P(A)=0.25
What is P(B), the probability that the card is a 5?
Same as what I stated earlier but this time you only have 4 cards that can be a "5" out of the 52 cards.
4/52=0.076923
P(B)=0.077
What is P(A and B), the probability that the card is a club and a 5?
Keep a eye on the working "and" this means it's referring to the possibility of getting a club and a 5 and since this can only happen once the chances are extremely slim.
1/52=0.1923076
P(AB)=0.192
What is P(BA), the conditional probability that the card is a 5 given that it is a club?
This assumes that you're only drawing from a deck of ONLY clubs so the chances of getting a 5 in that stack.
1/12=0.08333 (3 keeps going)
P(BA)=0.083
(This one might be wrong since I haven't done conditional probability in a long time but I feel somewhat confident, I do feel confident about the rest so no worries.)
Is P(BA) = P(B)? Are the events A and B independent?
No, P(BA) = P(B) is not true since A and B do influence one another since what if I get a 5 without replacement this results in change of chances of A.
Answer:
1.1/4
2.1/13
3.1/52
4.1/13
5. Yes p(B/A)=P(B) and Yes, events A and B are independent events.
Step-by-step explanation:
khan academy walk through
A random sample of students were chosen from all of 7th grade. There were 3 boys and 5 girls in that sample. If there are a total of 240 students on campus, how many students might be boys?
Answer:
90
Step-by-step explanation:
3 boys
5 girls,
Say that there where "x" number of groups like this, (x will be the total number of groups like this, if one were to divide the population by the number of groups, they would the number of students);
Set up an equation;
x ( 3 + 5 ) = 240
Combine like terms and distribute;
8x = 240
Inverse operations;
8x = 240
/8 /8
x = 30
Substitute back in to find the number of boys;
30 * 3 = 90
Jane is a computer science major planning to take 4 courses next semester. She is planning to take 2 computer science courses and 2 courses from other areas. How many different schedules can she build?
Answer: 24 schedules.
Step-by-step explanation:
Given data:
Courses planning to take = 4
Computer courses = 2
Courses from other areas = 2
Solution:
This problem can be solved using permutation.
For Computer science courses.
npr = n! / ( n - r )!
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
For other courses.
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
Jane can have a total of 24 different schedules.
A total of 356 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold
Answer:
x + 3x = 356
4x = 356
x = 356/4 = 89.
answer: 89
Step-by-step explanation:
hopefully this helped :)
round 7, 488 to the nearest thousands
Answer:
7,000
Step-by-step explanation:
You would round up if the next number (next to the thousands, I mean) is 5 or more, and round down if it is less than 5.
Answer:
7,488 = 7,000
Step-by-step explanation:
Solve for the distance between the points (0, -9) and (-4, 3).
Write the recursive rule for the arithmetic sequence82, 76, 70, 64, ...
A) a1=82; an= an-1-6
B) a1=64; an= an-1-6
C) a1=82; an= an-1+6
D) a1=64; an= an-1+6
answer fast pleaseee
Answer: the answer is A
Step-by-step explanation:
Please help
Will give brainliest.
Answer:
Step-by-step explanation:
1) c is hypotenuse. other two are legs. [tex]a^{2} +b^{2}= c^{2}[/tex]
2) e is hypotenuse. other two are legs. [tex]f^{2} +d^{2}= e^{2}[/tex]
3) h is hypotenuse. other two are legs. [tex]g^{2} +i^{2}= h^{2}[/tex]
The ratio 3/8 has a unit rate of 3/16 true or false
Question 3 Evan thinks that the slope of the true line of best fit for Pick Number and Career Length is not zero: that is, there is some correlation/association between Pick Number and Career Length. To test this claim, we can run a hypothesis test! Define the null and alternative hypothesis for this test.
Answer:
Null hypothesis ; H0 : slope = 0
Alternative hypothesis ; H1 : slope ≠ 0
Step-by-step explanation:
Given the claim:
slope of the true line of best fit for Pick Number and Career Length is not zero.
The Null hypothesis H0 : will negate the claim in this scenario ; hence ;
H0 : slope of line of best fit for pick number and career length = 0
The Alternative hypothesis, H1 : is the opposite of the null ;
H1 : slope of line of best fit for pick number and career length ≠ 0
Answer these questions:/
Find the slope of the line ?? Hurry ,thank you
Answer: (1-, 1)
Step-by-step explanation:
Thats the middle making it the slope
Shannon makes and sells picture frames. She charges different rates depending on the material she uses for the frame. Shannon sold a frame for $45. Which type of frame did Shannon sell? Use the drop-down menus to show and explain your answer.
Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.
STEP BY STEP EXPLANATION:
I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.
Identify the type of function represented by f(x) = * • (3)". O A. Exponential decay B. Decreasing linear O C. Increasing linear D. Exponential growth
Answer:D
Step-by-step explanation:
what is 3 ÷ 2\5 pls answer dis
Answer:
15/2
Step-by-step explanation:
when dividing by fractions, we "flip and multiply"-- therefore:
3 ÷ 2\5 = 3 x 5/2
3 x 5/2 = 15/2
Amy, Justin, and Henry sent a total of 70 text messages during the weekend. Justin sent 10 fewer messages than Amy. Henry sent 2 times as many messages as Amy. How many messages did they each send?
Answer:
justin 10+ Amy 20 + henry 40+ do answer would be 10+20+50=70
explanation
I took justin and timed it by two then half of 20 is 10 then timed it by two again which 20*2 is 40
add it all together and you get 70
Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
System of equationsThese type of equation consists of equation with unknown variables.
Let the number of messages sent by amy be x
Let the number of messages sent by Justin be y
Let the number of messages sent by Henry be z
If the total number od mesages sent is 70, hence;
x + y + z = 70
If Justin sent 10 fewer messages than Amy, then;
y = x - 10
If Henry sent 2 times as many messages as Amy, then;
z= 2x
Substitute
x + x - 10 + 2x = 70
4x = 70 + 10
4x = 80
x = 20
Recall
y = x - 10
y = 10
Also z = 2x
z = 2(20)
z = 40
Hence Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
Learn more on system of equation here: https://brainly.com/question/13729904
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3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?
Answer:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Step-by-step explanation:
Jogging pants design Selling Price Cost
weekly production
Design A x₁ 2500 1750
Design B x₂ 2100 1200
1. z ( function is : )
z = 2500*x₁ + 2100*x₂ to maximize
First constraint weekly production
x₁ + x₂ ≤ 120
Second constraint Budget
1750*x₁ + 1200*x₂ ≤ 150000
Then the model is
z = 2500*x₁ + 2100*x₂ to maximize
Subject to
x₁ + x₂ ≤ 120
1750*x₁ + 1200*x₂ ≤ 150000
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
First table
z x₁ x₂ s₁ s₂ cte
1 -2500 -2100 0 0 0
0 1 1 1 0 = 120
0 1750 1200 0 1 = 150000
Using AtoZmath online solver and after 6 iterations the solution is:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
NEED HELP ASAP PLEASE!!!!
Which relationship is always true for the angles x, y, and z of triangle ABC?
a
x + z = y
b
y + z = x
c
x + y + z = 180 degrees
d
x + y + z = 90 degrees
Find the axis of symmetry of y = x2 + 4x + 1
Answer:
the axis of symmetry should be x= -2
Step-by-step explanation:
Simplify (5^1/3)^3
A) 5^3
B) 1/5
C) 5
D) 5^9
Use the rule (a^b)^(c) = a^(bc).
[5^(1/3)]^(3)
5^(1/3)(3)
5^(1)
Answer: 5
the sum of two numbers is 27. one number is 2 times as large as the other. what are the numbers
Answer:
9 and 18
Step-by-step explanation:
Since we don’t know the number, I put x as one of the numbers. Since the other number should be two times as large, that would be 2x.
2x+x=27
3x=27
x=9
To find the other number, which is 2x multiply by 2. So 18
Answer:
one number=9
Second number=18
Step-by-step explanation:
The sum of two numbers =27
one number is 2 times as large as the other
Solution
Let one number=X
Second number=2x
X+2X=27
3x=27
X=27/3
X=9
So one number=9
Second number=18
Question 3 (1 point)
(03.01 MC)
Which expression is equivalent to 2(9 + 7)? (1 point)
18 + 14
18+7
11+9
11+7
Answer:
18+14
Step-by-step explanation:
2×9=18 and 2×7=14
18+14 :)
Jack had $10.00. He bought a pair of socks for $2.30 and a pair of gloves for $5.50. How much money did he have left?
Answer:
Jack has $2.20 left.
Step-by-step explanation:
We have to add 5.50 and 2.30 to find his cost.
2.30 + 5.50 = 7.80.
Then, subtract it from $10.00
10.00 - 7.80 = 2.20
Jack has $2.20 left
hope this helped!
HURRY PLEASE!! I NEED TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
i need the equation you used to solve it with also!
Answer:
Step-by-step explanation:
3x-11+6x-10+x=180
10x-21=180
10x=201
x=20,1
solve the following expression for p.
Answer:
9 that what p stands for hope it help
Step-by-step explanation:
James ran 4 laps and walked 2 laps when running his average speed was 2.5 minutes per lap when walking his average speed was 4.9 minutes per lap how long did it take james to complete the 6 laps
Answer:11.1 I believe?
Step-by-step explanation:
Forgive me if I am wrong.
Answer:
14.8
Step-by-step explanation:
im gessing thats what it is
if the supply and demand functions for a commodity are given by p-q=10 and q(2p-10)=2100, what is the equilibrium price and what is the corresponding number of units supplies and demanded
Answer:
If p - q = 10, then p = 10 + q. Replace the other p with this:
q(2(10 + q) - 10) = 3600
q(20 + 2q - 10) = 3600
q(10 + 2q) = 360
The equilibrium point of a demand and supply function is the point where both functions are equal.
The equilibrium price is 40, and the corresponding demand is 30 supplies
Given
[tex]p- q = 10[/tex] --- the supply function
[tex]q(2p - 10) = 2100[/tex] --- the demand function
Make q the subject in [tex]p- q = 10[/tex]
[tex]q = p - 10[/tex]
Substitute [tex]q = p - 10[/tex] in [tex]q(2p - 10) = 2100[/tex]
[tex](p - 10)(2p - 10) = 2100[/tex]
Factor out 2
[tex]2(p - 10)(p - 5) = 2100[/tex]
Divide both sides by 2
[tex](p - 10)(p - 5) = 1050[/tex]
Open brackets
[tex]p^2 -10p - 5p + 50 = 1050[/tex]
[tex]p^2 -10p - 5p + 50 - 1050 =0[/tex]
[tex]p^2 -15p - 1000 =0[/tex]
Expand
[tex]p^2 -40p + 25p- 1000 =0[/tex]
Factorize
[tex]p(p -40) + 25(p- 40) =0[/tex]
Factor out p - 40
[tex](p+ 25) (p- 40) =0[/tex]
Solve for p
[tex]p = -25[/tex] or [tex]p = 40[/tex]
The price cannot be negative.
So: [tex]p =40[/tex]
Recall that:
[tex]q = p - 10[/tex]
[tex]q = 40 - 10[/tex]
[tex]q = 30[/tex]
Hence, the equilibrium price is 40, and the corresponding number of supplies is 30
See attachment for the graphs of both functions
Learn more about equilibrium price and quantity at:
https://brainly.com/question/11161357
In this assignment, you will explore how to find the number of different species of fish in a pond by looking at a random sample of the fish. Which phrase best describes the total number of brook trout in the pond? the population of brook trout the proportion of brook trout the sample of brook trout the population of fish
Answer: A
Step-by-step explanation:
Answer: the answer is A
Step-by-step explanation:
Got it right on edge 2021! Look for your self.
What is the length of line with endpoints (5,-7) and (5,11)
Answer:
18 units
Step-by-step explanation:
Answer:
18
Step-by-step explanation: