In New York, it snows 8 inches in 3 hours. At this rate, how many inches of snow did they get in 9 hours?
Show Your Work
Anyone plz help
Answer: 24 inches
Step-by-step explanation:
Set up the proportion 8/3 = x/9 so the 8 inches match up with the unknown amount of inches it snowed and 3 hours with the 9 hours. Cross multiply. 3x = 72Divide by 3 on both sides. x = 24Someone PLEASE help me ASAP!! It’s due today!! Show work please! I will mark brainliest if it’s done correctly
Answer:
8/25
Step-by-step explanation:
Since there are only three possible outcomes on the spinner (1, 2, or 3), we can find the probability of spinning a 2 by subtracting the probabilities of spinning a 1 or a 3 from 1
P(2) = 1 - P(1) - P(3)
P(2) = 1 - 7/25 - 2/5
P(2) = 1 - 35/125 - 50/125
P(2) = 1 - 85/125
P(2) = 40/125
P(2) = 8/25
Therefore, the experimental probability of spinning a 2 is 8/25 or 0.32.
In a mathematics test, Jack scored 17 marks more than Yazid while Susan scored twice Yazid's score. If their total score is 161, what is Jack's score?
Answer:
53
Step-by-step explanation:
Let yazid's score be x
x + x + 17 + 2x = 161
4x + 17 = 161
4x = 144
x = 36
jack = x + 17
jack = 53
Answer:
Jack: 36
Bonus: Yazid: 53 and Susan: 72
Step-by-step explanation:
Let J, Y, and K stand for Jack, Yazin, Susan's scores.
We are told that:
J = Y + 17 [Jack scored 17 marks more than Yazid]
S = 2Y [Susan scored twice Yazid's score]
J + Y + S = 161 [total score is 161]
Substitute the first two expressions into the last equation:
J + Y + S = 161
(Y+17) + Y + (2Y) = 161
4Y = 144
Y = 36
Use Y = 36 to find the other scores:
J = Y + 17
J = 36 + 17
J = 53
S = 2Y
S = 2*(36)
S = 72
CHECK:
Does 36+53+72 = 161?
YES
Show that (0,1) and R have the same cardinality [Hint: Use the Schroder=Bernstein theorem.]
By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.
To show that (0,1) and R have the same cardinality, we can apply the Schroder-Bernstein theorem, which states that if there exist injective functions from set A to set B and from set B to set A, then A and B have the same cardinality.
First, we can define a function from (0,1) to R by using a bijection. For example, we can use the function f(x) = tan[(πx - π/2)].
This function maps each value in the interval (0,1) to a unique real number in R. Since the tangent function is injective in the interval (-π/2, π/2), the function f(x) is also injective.
Next, we can define a function from R to (0,1) by using the inverse of the tangent function. For example, we can use the function g(x) = (π/2 + arctan[x])/π.
This function maps each real number to a unique value in the interval (0,1). The function g(x) is also injective since the inverse of the tangent function is injective.
By applying the Schroder-Bernstein theorem, we can conclude that (0,1) and R have the same cardinality.
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Can someone please help me with question 24 and 28 it is due Monday!!!!!
24. Describe how finding the greatest common factor of the numerator and denominator of a fraction can help reduce the fraction.
28. Alicia's father asked her to buy a gallon of milk at the store. The store had milk only in quart-sized containers. What percent of a gallon is a quart? How many quart containers did Alicia buy?
Answer:
Step-by-step explanation:
24. you can divide the numerator and denominator by that number to reduce it
28. 4 quarts in a galloon so 25% so she would need to by 4 containers of milk
diameter of a circles radius dilated by a factor of 4
Answer:
8
Step-by-step explanation:
diameter=radius×2=4×2=8
describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
Corrie bought a new flat screen 70 inch television and a speaker system from a local electronics store on credit. The store will charge 18% per year compounded monthly. Their monthly payments are $204.80 for 4 years. What is the cash price of her purchase?
1. Identify the type of problem.
a. Future Value with compound interest.
b. Present Value with compound interest.
c. Present Value of an Annuity.
d. Future Value of an Annuity.
e. Future Value with simple interest.
2. Answer the question in the problem.
a. $4,881.09.
b. $5,262.72.
c. $9,261.57.
d. $7,247.31.
e. $6,971.91.
The cash price of her purchase would be $5262.79
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
\(a = p(1 + \dfrac{r}{n})^{nt}\)
The Present value = C [1 - (1+i)^(-n)]/i
C = the amount of payment per period
i = interest rate
n=number of payments
In this problem we have;
C = $174.80
i = 12% per year compounded monthly
= 12/(12 x 100)
= 0.01
n = 3 x 12 = 36 months
Present Value = 174.80[1 - (1+0.01)^(-36)]/0.01
Cash price = $5262.79
Hence, the cash price of her purchase would be $5262.79
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Compute 123x45+246x30+369x15
Answer: 18450
Step-by-step explanation:
question 10(multiple choice worth 1 points) (01.01 lc) what is the rational number equivalent to 1 point 28 with a bar over 28? 1 and 6 over 97 1 and 28 over 99 1 and 8 over 33 1 and 5 over 16
The rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct
The number that we have been given is 1.28 bar over 28 that is 28 is repeating.
Now we have to convert it into simple fraction.
For we will first denote,
X = 1.28 bar over 28
Multiplying both side by 100 as two digits are being repeated we get,
100X = 128.2828…
Now subtracting it from X on both side s and putting the value of X we get
100X – X = 128.28… - 1.2828….
99X = 127
X =127/99
X = 1 28/99
Hence the rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct
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At Briarwood Garden Shop's annual end-of-season sale, every plant in the shop gets marked
down. Clare purchased 4 rosebushes during the sale. Each rosebush cost $12 less than its full
price. She paid a total of $96. How much would each rosebush cost at full price?
HELP?
Answer: $36 per rosebush without the discount
==========================================================
Explanation:
x = full price for one rosebush
x-12 = discount price (saving $12) for each rosebush
4(x-12) = total for buying four rosebushes at the discount price
4(x-12) = 96 since she paid $96 overall through the discount
------------------------
Let's solve for x
4(x-12) = 96
x-12 = 96/4
x - 12 = 24
x = 24+12
x = 36
Or you could solve like this
4(x-12) = 96
4x-48 = 96
4x = 96+48
4x = 144
x = 144/4
x = 36
Either way, the full original price per rosebush was $36
Saving $12 per rosebush means she actually paid 36-12 = 24 dollars per plant instead. Then note how 24*4 = 96 to help fully confirm we have the correct x value, and it confirms the correct answer.
The probability of drawing two black cards without replacement is 1/14, and the probability of drawing one black card is 2/7.
What is the probability of drawing a second black card, given that the first one is black
The probability of drawing a second black card, given that the first one is black, is 1/4.
What is the probability?From the question, the events are :
A: Drawing a second black card
B: Drawing a first black card
Note that we are given:
P(A and B) = 1/14 (probability of drawing two black cards without replacement)
P(B) = 2/7 (probability of drawing one black card)
Hence. the conditional probability formula will be:
P(A|B) = P(A and B) / P(B)
Based on the above, we fix in the value:
P(A|B) = (1/14) / (2/7)
= (1/14) x (7/2)
= 7/28
= 1/4
Therefore, the probability of drawing a second black card, given that the first one is black, is 1/4.
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Find the circumference of the circle pictured above Round your answer to the nearest. hundredth 6
To find the circumference we have to calculate
\(s=2\pi r\)where r=6
therefore we have that the answer is
\(2\pi\cdot6=12\pi=37.699\approx37.70\)Math
Find all the possible values of X
|x|= 5
Please be serouse
Question 7 of 15
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Assume a normal distribution and find the following probabilities.
(Round the values of z to 2 decimal places, eg. 1.25. Round your answers to 4 decimal places, e.g. 0.2531)
(a) P(x<21-25 and 0-3)
(b) Pix 2481-30 and a-8)
(c) P(x-25-30 and 0-5)
(d) P(17
(e) Pix 2 7614-60 and 0-2.86)
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P(x > 76 and -2.86 < z < 0) = 0.5000 - 0.3665 = 0.1335.
(a) P(x < 21 and z < 3)
Using standardization, we get:
z = (21 - 25)/3 = -4/3
Using the standard normal table, the corresponding probability for z = -4/3 is 0.0912.
Therefore, P(x < 21 and z < 3) = 0.0912.
(b) P(24 < x < 30 and a < z < 8)
Using standardization, we get:
z1 = (24 - 26)/3 = -2/3
z2 = (30 - 26)/3 = 4/3
Using the standard normal table, the corresponding probability for z = -2/3 is 0.2514 and for z = 4/3 is 0.4082.
Therefore, P(24 < x < 30 and a < z < 8) = 0.4082 - 0.2514 = 0.1568.
(c) P(x > 25 and z < 5)
Using standardization, we get:
z = (25 - 30)/5 = -1
Using the standard normal table, the corresponding probability for z = -1 is 0.1587.
Therefore, P(x > 25 and z < 5) = 0.1587.
(d) P(17 < x < 21)
Using standardization, we get:
z1 = (17 - 20)/3 = -1
z2 = (21 - 20)/3 = 1/3
Using the standard normal table, the corresponding probability for z = -1 is 0.1587 and for z = 1/3 is 0.3707.
Therefore, P(17 < x < 21) = 0.3707 - 0.1587 = 0.2120.
(e) P(x > 76 and -2.86 < z < 0)
Using standardization, we get:
z1 = (76 - 80)/12 = -1/3
z2 = 0
Using the standard normal table, the corresponding probability for z = -1/3 is 0.3665 and for z = 0 is 0.5000.
Therefore, P(x > 76 and -2.86 < z < 0) = 0.5000 - 0.3665 = 0.1335.
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Although, Lara Croft was successful at stopping the enemy in
Tomb Raider, it was discovered that one artifact is still missing.
Luckily, the whereabouts are known: A cruise ship leaving
Seattle. By the time Ms. Croft arrives in Seattle, she has missed
the boat by 5 hours. What should she do?
FACTS:
- The cruise ship can go 528 mi in one day.
- A speedboat travels 100 miles in 2.5 hours.
- A helicopter goes 90 mph, but takes 3.5 hours to get to the harbor.
what should Ms. Croft do? Prepare a poster answering this question
with multiple representations of your thinking.
Answer:
The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours
The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours
since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.
Step-by-step explanation:
The given parameters are;
The elapsed time by which Ms. Croft missed the boat = 5 hours
The speed of the cruise ship = 528 mi/day
The speed of the speedboat = 100 miles in 2.5 hours
The speed of the helicopter = 90 mph
The time it would take Ms. Croft to arrive at the harbor = 3.5 hours
Therefore, we have;
The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph
The location of the cruise after the first 5 hours = 5 × 22 = 110 miles
The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph
By traveling with a speed boat
The time at which Ms. Croft will intercept the cruise ship is given by the following relation;
40 mph × t = 22 mph × t + 110 miles
Which gives;
40 mph × t - 22 mph × t = 110 miles
18 mph = 110 miles
t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours
By taking the helicopter, we have;
Upon arrival at the harbor, after 3.5 hours, we find
90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles
90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles
68 mph × t = 77 miles + 110 miles = 187 miles
t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours
The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours
Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.
7 pls pls pls help meeee!
Subtract 6
24
18
12
?
DONE
Answer
6
we keep subtracting by 6
12-6 = 6
A = 6
In the given figure, find the distance of a point A from origin.Explain why?
Answer:
distance = 5 units
Step-by-step explanation:
we can calculate the distance d using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )
d = \(\sqrt{(3-0)^2+(4-0)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
Formula to find the distance between two points is given by -
\( \small \underline{ \boxed{ \sf{ \pmb{ Distance = \sqrt{ (y_2 -y_1)^2 + (x_2-x_1)^2}}}}}\\\)
As per question, points are -
X (3,4)Q(0,0)On substituting the values :-
\(\: \: \: \: \: \longrightarrow \sf {Distance(XQ) = \sqrt{ (0-4)^2 + (0-3)^2 }}\\\)
\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ (-4)^2 + (-3)^2 }}\\\)
\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = \sqrt{ 16+9}}\\\)
\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ 25} }\\\)
\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = 5}\\\)
\( \: \: \: \: \:\longrightarrow \boxed{ \tt{ \pmb{ \red{Distance(XQ) = 5 }}}}\\\)
\( \\ \therefore \underline{ \cal{ \pmb{The \:distance \: of \: the\: two \:points \: is \: \frak{\purple{ 5.} }}}}\\\)
Is 4/8 equivalent to 7/8
Answer:
is 7 more than 4 or 4 more than 7?
Step-by-step explanation:
JUST USE YOUR BRAIN!
Answer:
no
Step-by-step explanation:
of course not. since the denominators are the same, the numerators have to be equal. since the numerators aren't equal, the answer is no
What is the measurement, in degrees, of angle 3?
Answer:
<3=140
Step-by-step explanation:
140 and <3 are corresponding . Two angles in the same position are called corresponding angles. They have the same measure if the original two lines are parallel.
Knowing the probability of an event A is enough for calculating the probability of A’s complement.
True
False
True, knowing the probability of an event A is enough to calculate the probability of its complement, which is denoted as A' or not A.
The complement of an event A represents all the outcomes that are not part of A. In other words, A' is the set of all outcomes in the sample space that do not satisfy A.
To calculate the probability of A's complement, we can use the formula: P(A') = 1 - P(A). This formula follows from the fact that the probability of the sample space (i.e., all possible outcomes) is 1. Since A and A' cover all possible outcomes, their probabilities must add up to 1. Therefore, P(A') = 1 - P(A).
For example, suppose we are interested in the event of rolling a 1 on a fair six-sided die. The probability of rolling a 1 is 1/6. The complement of this event is rolling any number other than 1, which has a probability of 5/6. Using the formula, we can calculate the probability of rolling any number other than 1 as: P(rolling not 1) = 1 - P(rolling 1) = 1 - 1/6 = 5/6.
Knowing the probability of an event A is enough to calculate the probability of its complement A', which is given by the formula P(A') = 1 - P(A).
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A dilation maps (6, 10) to (3,5). What are the coordinates of the image of (12, 4) under the same dilation?
Answer:
(6,2)
Step-by-step explanation:
PLS HELP what is the slope
Y=_x +_
Answer:
it's a little blurry but i think the slope is 2/3 and the y-intercept is -2
Step-by-step explanation:
100 points please solve fast! Brainliest please!
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
Help help help help
Answer: main
Step-by-step explanation:
Answer:
yeah it's main it cuts up through oak and elm
what percentage of the u.s. population practice mindfulness and meditation techniques?14 percent28 percent42 percent56 percent
Step-by-step explanation:
14.2% of adults practice meditation in the us
If the function has any discontinuities, identify the conditions of continuity that are not satisfied.
Answer:
Step-by-step explanation:
To identify the conditions of continuity that are not satisfied if a function has any discontinuities, we need to consider the three conditions for continuity:
1. The function must be defined at the point of interest.
2. The limit of the function as it approaches the point of interest must exist.
3. The value of the function at the point of interest must equal the limit.
If any of these conditions are not met, the function will have a discontinuity at that point.
There are different types of discontinuities, including removable, jump, infinite, and oscillating. Let's briefly discuss the conditions of continuity that are not satisfied for each type:
1. Removable Discontinuity: In this case, the function is undefined at the point of interest. However, the limit exists, and if the value of the function is redefined or removed at that point, the function can become continuous.
2. Jump Discontinuity: The function is defined at the point of interest, and the limit exists from both sides, but the value of the function at the point is different from the limit. There is a sudden "jump" in the function's value.
3. Infinite Discontinuity: The function is defined at the point, but the limit diverges to positive or negative infinity as it approaches the point. There is a vertical asymptote or a vertical gap in the function.
4. Oscillating Discontinuity: The function oscillates or fluctuates infinitely as it approaches the point, failing to approach a specific value. The limit does not exist.
By analyzing the behavior of the function and checking if these continuity conditions are satisfied, we can identify the specific condition(s) that are not met and determine the type of discontinuity present.
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Determine all joint probabilities listed below from the following information: P(A) = 0.7, P(A c ) = 0.3, P(B|A) = 0.4, P(B|A c ) = 0.8 P(A and B) = P(A and B c ) = P(A c and B) = P(A c and B c ) =
Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.
The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.
It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.
Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.
Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.
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20. To furnish a school cafeteria a school can spend $5200 on tables and chairs. Tables cost $200 each
and chairs cost $40. There are 8 times as many chairs as tables. How many tables and chairs will
the school purchase for the cafeteria?
Answer:
10 tables and 80 chairs
Step-by-step explanation:
In each table, there are 8 chairs. 8×40$ =320$
1 table cost 200$
Each set of table + chairs is
200 + 320= 520
Total amount of money the school can spend is 5200
Therefore 5200÷ 520 = 10
So there are 10 sets of Table + chairs
So there are 10 tables
Total amount of chairs is 8×10= 80
Hope this help I suck at explaining.