Answer:
a) Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green), (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}
b) 4 outcomes involve choosing blue marble.
Step-by-step explanation:
a) FOR SAMPLE SPACE:
No. of options for choosing card = 4
No. of options for choosing marble = 3
No. of options for choosing a card and a marble = (3)(4) = 12
Therefore,
Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green), (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}
b) CHOOSING BLUE MARBLE:
It is evident from the sample space that, there are only 4 outcomes, which involve choosing a blue marble.
Those 4 outcomes are as follows:
(1, blue), (2, blue), (3, blue), (4, blue)
Answer:
12
Step-by-step explanation:
24 students in a class took an algebra test. If 18 students passed the test what percent passed?
Answer:75%
Step-by-step explanation:
x% of 24=18
x/100 x 24=18
24x/100=18
Cross multiply
24x=18x100
24x=1800
Divide both sides by 24
24x/24=1800/24
x=75
75 percent pass the test
Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3
Answer:
y = -x - 2
Step-by-step explanation:
Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:
y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:
3 = 5 + C, or C = -2
Thus, the desired equation of this new line is y = -x - 2
Including a 8% sales tax, an inn charges $150.12 per night. Find the inn's nightly cost before tax is added.
Answer:$139.00
Step-by-step explanation:
150.12/1.08
Draw a quadrilateral that does not belong then explain why
Answer:
a kite
Step-by-step explanation:
A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
Answer:
[tex]Z = 3.33[/tex]
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 13, \sigma = 1.2[/tex]
You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 13}{1.2}[/tex]
[tex]Z = 3.33[/tex]
Drag each tile to the correct box. Not all tiles will be used.
Arrange the equations in the correct sequence to find the inverse of f(x) = y = 3x / 8 + x
Answer:
Inverse of f(x)
[tex]f^{l} (x) = \frac{8 x}{3-x}[/tex]
Step-by-step explanation:
Explanation:-
Step(i):-
Given the function
[tex]f(x) = \frac{3 x}{8+x}[/tex]
Given function is one-one and onto function
Hence f(x) is bijection function
[tex]y = f(x) = \frac{3 x}{8+x}[/tex]
now cross multiplication, we get
( 8+x)y = 3 x
8 y + x y = 3 x
8 y = 3 x - x y
taking Common 'x' we get
x (3 - y) = 8 y
[tex]x = \frac{8 y}{3-y}[/tex]
Step(ii):-
The inverse function
[tex]x = \frac{8 y}{3-y} = f^{l}(y)[/tex]
The inverse function of x
[tex]f^{l}(x) = \frac{8 x}{3-x}[/tex]
Final answer:-
Inverse of f(x)
[tex]f^{l} (x) = \frac{8 x}{3-x}[/tex]
Find the area of the shaded region and choose the appropriate result?
Answer:
Option B
Step-by-step explanation:
The figures are made out of squares.
[tex]\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}[/tex]
Square 1 (the gray square):
The side measure is 4 cm.
[tex]A = 4^2 = 16cm^2[/tex]
Square 2 (white square):
The side measure is 2 cm.
[tex]A=2^2=4cm^2[/tex]
Subtract the area of the white square from the gray square to get the area of the shaded region:
[tex]16 - 4 =12[/tex]
The shaded region is [tex]12cm^2[/tex].
Option B should be the correct answer.
Brainilest Appreciated!
By which rule are these triangles congruent?
Answer:
Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Answer:Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Two tanks are interconnected. Tank A contains 60 grams of salt in 50 liters of water, and Tank B contains 80 grams of salt in 40 liters of water.
A solution of 2 gram/L flows into Tank A at a rate of 5 L/min, while a solution of 3 grams/L flows into Tank B at a rate of 7 L/min. The tanks are well mixed.
The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B.
Letting x represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks.
Let a(t) and b(t) denote the amounts of salt in tanks A and B, respectively.
The volume of liquid in tanks A and B after t minutes are
A: 50 L + (5 L/min + 3 L/min - 8 L/min)t = 50 L
B: 40 L + (7 L/min + 8 L/min - 3 L/min - 12 L/min)t = 40 L
so the amount of solution in the tanks stays constant.
Salt flows into tank A at a rate of
(2 g/L)*(5 L/min) + (b(t)/40 g/L)*(3 L/min) = (10 + 3/40 b(t)) g/min
and out at a rate of
(a(t)/50 g/L)*(8 L/min) = 4/25 a(t) g/min
so the net flow rate is given by the differential equation
[tex]\dfrac{\mathrm da(t)}{\mathrm dt}=10+\dfrac{3b(t)}{40}-\dfrac{4a(t)}{25}[/tex]
We do the same for tank B: salt flows in at a rate of
(3 g/L)*(7 L/min) + (a(t)/50 g/L)*(8 L/min) = (21 + 4/25 a(t)) g/min
and out at a rate of
(b(t)/40 g/L)*(3 L/min + 12 L/min) = 3/8 b(t) g/min
and hence with a net rate of
[tex]\dfrac{\mathrm db(t)}{\mathrm dt}=21+\dfrac{4a(t)}{25}-\dfrac{3b(t)}8[/tex]
Replace a(t) and b(t) with x and y. Then the system is (in matrix form)
[tex]\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\dfrac1{200}\begin{bmatrix}-32&15\\32&-75\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}+\begin{bmatrix}10\\21\end{bmatrix}[/tex]
with initial conditions x(0) = 60 g and y(0) = 80 g.
6th grade math help me :))
Answer:
(30*20)+200
Step-by-step explanation:
27 to 30
18 to 20
172 to 200
Graph this function: f(x) = x2-4x - 5
Step 1: Identify a and b.
Answer: a= 1 b= -4 x = 2 f(2)= -9 the x intercepts are 5,0 and -1, 0 f(o) = -5
Step-by-step explanation:
Solve this equation. 2 - k = 22
Answer
20 ?
Step-by-step explanation:
Answer: [tex]k=-20[/tex]
Move all terms to the left
[tex]2-k-(22)=0[/tex]
Add all the numbers together, and all the variables
[tex]-1k-20=0[/tex]
Move all terms containing k to the left, all other terms to the right
[tex]-k=20\\k=20/-1\\k=-20[/tex]
If there is an increase in the money supply that causes prices to rise and
leads to inflation, what happens to money?
A. It gains purchasing power.
B. It loses purchasing power.
c. It changes from commodity money to fiat money.
D. It changes from fiat money to commodity money.
The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.
What is inflation?Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.
This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.
Learn more about inflation:
https://brainly.com/question/8149429
#SPJ1
Answer:
b
Step-by-step explanation:
here you go another one lol
Answer:
40
Step-by-step explanation:
50+40=90
Answer:
2
Step-by-step explanation:
50+40=90
90=complementary angles total
7ft
24ft
10 ft
Area?
Answer:
238 ft
Step-by-step explanation:
7x24=168
7x10=70
168+70=238
lengthxwidthxheight
If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the least value of n for which xn>60?
Answer:
11
Step-by-step explanation:
The first 12 terms of the sequence are ...
1 1 2 3 5 8 13 21 34 55 89 144
The first term that is greater than 60 is the 11th term, 89.
n = 11
Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.
Answer:
is there a picture
Step-by-step explanation:
what does 1 1/2+ 2/3+3/4 equal
Answer:
2 11/12
Step-by-step explanation:
1 1/2+ 2/3+3/4
The common denominator is 12
1 1/2*6/6+ 2/3*4/4+3/4*3/3
1 6/12 + 8/12 + 9/12
Add together
1 +23/12
1+12/12 +11/12
1+1+11/12
2 11/12
If using the method of completing the square to solve the quadratic equation
X^{2}– 13x + 5 = 0, which number would have to be added to "complete the
square"?
Answer:
[tex]x=\frac{13}{2}+\frac{1}{2}\sqrt{149}[/tex]
Step-by-step explanation:
x=
−b±√b2−4ac
2a
x=
−(−13)±√(−13)2−4(1)(5)
2(1)
x=
13±√149
2
x=
13
2
+
1
2
√149 or x=
13
2
+
−1
2
√149
Tony wants to estimate the number of bees in a beehive. He catches 100 bees from the hive and marks each one with a dye. He then lets the bees go. The next day, tony catches 60 bees from the hive. 15 of these bees have been marked with dye. A) using this information what is a good estimate for the number of bees in the beehive.
Answer:
Number of total bees = 400
Step-by-step explanation:
He catches 100 bees from the hive and marks each one with a dye.
He later catches 60 and 15 were marked with the dye.
Its very to estimate from the data given.
I'll answer it with ratio.
We'll ratio number of bees with dye to total he caught the second day.
I.e 15:60 = 1:4
We'll multiply this ratio with the number he caught the first day to know the total.
1/4x =100
X = 100*4
X= 400
Where x is the total number of bees in the bee hive.
The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected.
(A) Based on this sampling plan, the probability that a batch that meets the contract requirements will be shipped without further inspection is approximately___________.
Answer:
0.9138 = 91.38%
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 items
This means that [tex]n = 10[/tex]
5 percent of the items shipped can be defective.
This means that [tex]p = 0.05[/tex]
Probability that a batch that meets the contract requirements will be shipped without further inspection
Probability of 1 or fewer defects.
So
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987[/tex]
[tex]P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138[/tex]
So the answer is:
0.9138 = 91.38%
Answer:
The answer is 0.9138
Step-by-step explanation:
This is a question of Binomial Probability Combination and the formula that will be used in this question is:
[tex]P(x) = nCx * p^{x} * q^{n - x}[/tex]
Where,
n ⇒ Finite sample number, here it is equal to 10p ⇒ Success, here it is equal to 5% defective or [tex]\frac{5}{100} = 0.05[/tex] q ⇒ Failure, here it is equal to (1 - p) i.e. [tex]q = 1 - \frac{5}{100} = 0.95[/tex][tex]x[/tex] ⇒ Number of defective productsNow, in order to to pass inspection and be shipped [tex]x[/tex] needs to be equal to '0' or '1'.
So,
Putting [tex]x = 0[/tex] in the formula along with the values mentioned above we get
[tex]P(0) = 10C0 * 0.05^{0} * 0.95^{10 - 0}[/tex]
[tex]P(0) = 1 * 1 * 0.5987[/tex]
[tex]P(0) = 0.5987[/tex]
Similarly,
Putting [tex]x = 1[/tex] in the formula along with the values mentioned in the bullets above we get
[tex]P(1) = 10C1 * 0.05^{1} * 0.95^{10 - 1}[/tex]
[tex]P(1) = 10 * 0.05 * 0.6302[/tex]
[tex]P(1) = 0.3151[/tex]
Now, in order to get the actual probability we need to add [tex]P(0)[/tex] and [tex]P(1)[/tex] because there is a chance that either there is no defective product or there is 1 defective in the shipped-batch from which sample was taken. Hence,
[tex]P(0) + P(1) = 0.5987 + 0.3151[/tex]
= 0.9138 (Answer)
what is 7 divided by 1/3 in multiplication
Answer:21
Step-by-step explanation:
7 ➗ 1/3
when dividing fractions you have to change the divide sign to multiplication
and the denominator at the right hand side will become the numerator,the previous numerator at the right hand side will become denominator
7 x 3/1=21
PLEASE ANSWER QUICKLY! Check all that are solutions of the inequality.
-2
0
3.75
4 2/5
1.999
347,595
Answer:
2,4,5,6
Step-by-step explanation:
Answer:
0, 4 and 2 fifths, 1.999, and 347, 595
or
2, 4, 5, 6
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
I also did the instruction.
Solve: z5 + 3 = −35
Answer:
z= - 5 √ 38
Step-by-step explanation:
take the root of both sides
or
you can factor each set and make them equal to zero
Please help worth 20 points!!
Answer:I would think u would
Step-by-step explanation:42,500×26
Answer:
1634.62$
Step-by-step explanation:
P=S/n
P=42500/26=1634.62
The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of A and B (A intersection B) is:
A) 2.5%
B)7 %
C)10%
D) 14%
i will rate you
brainliest PLZ HELP
You will get 25 points
Answer:
i can not see the picture can you describe it
Step-by-step explanation:
Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to
work to have enough to buy the shoes is given by the Inequality 10x +45 > 120, where x is the number of hours she works.
The fewest number of hours she has to work to buy the shoes is
Re: 7
Next
oo
9
10
Answer:
8
Step-by-step explanation:
10x+45> 120 Subtract 45 from both sides of the inequality.
10x>75 Divide both sides by Ten
x>7.5
She has to work at least 7.5 hours so 8 is the fewest number of hours she has to work to buy the shoes.
please hurry!! 34 + 3 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1:
Answer:
49
Step-by-step explanation:
First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.
Answer:
49
Step-by-step explanation:
3 x 5 = 15
15+34 = 49
The number 65 is decreased to 62. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:4.6
Step-by-step explanation:
Percentage decrease=(65-62)/65 x 100
Percentage decrease=3/65 x 100
Percentage decrease=(3x100)/65
Percentage decrease=300/65
percentage decrease=4.6
