The probabilities when two dice are rolled are given as follows:
a) Rolling a 7: 1/6.
b) Any double: 1/6.
c) Rolling a 7 or an 8: 11/36.
How to calculate the probabilities?The probabilities are calculated with the division of the number of desired outcomes by the number of total outcomes.
The 36 total outcomes when two dice are rolled are given as follows:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)The desired outcomes for rolling a seven are given as follows:
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1). -> six outcomes.
Hence the probability of rolling a seven is of:
p = 6/36 = 1/6.
The doubles outcomes are given as follows:
(1,1), (2,2), (3,3), (4,4), (5,5), (6,6) -> six outcomes.
Hence the probability of rolling any double is of:
p = 6/36 = 1/6.
The outcomes in which a seven or an eight are rolled are given as follows:
Seven: six outcomes, already obtained.Eight: (2,6), (3,5), (4,4), (5,3), (6,2) -> five outcomes.Hence the probability is of:
11/36.
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You roll a blue number cube and a green number cube. Find P(a number greater than 2 on the blue cube and an odd number on the green cube).
The probability of rolling a number greater tan 2 on the blue cube and an odd number on the green cube is 1/3.
How to find the probability?Here we roll two number cubes (each of these with 6 outcomes, {1, 2, 3, 4, 5, 6})
We want to find the probability of:
Getting a number greater than 2 on the blue cube and an odd number on the green cube.
First, there are 4 numbers greater than 2 (3, 4, 5, 6)on the blue cube, and 6 outcomes in total, then the probability is:
P = 4/6
For the green dice, there are 3 odd numbers:
1, 3, and 5
And there are a total of 6 outcomes, then the probability is:
Q = 3/6
The joint probability (for events) is
J = P*Q
J = (4/6)*(3/6)
J = (2/3)*(1/2)
J = 1/3
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The profit from the production and sale of specialty hats is given by the function () =
30 – 6000 where x is the number of hats produced and sold
a. Producing and selling how many units will give us a profit of $60,000?
b. How many units must be produced and sold to avoid a loss?
c. Sketch a graph of () = 30 – 6000 and use that graph to verify your answers for a
and b. Make sure you show the scale of your graph.
a) Producing and selling 2200 units will give us a profit of $60,000
b) The number of units that must be produced to avoid a loss is; 200 units
c) The graph of P(x) = 30x - 6000 is as shown in the attached file
How to solve profit functions?We are given the profit function as;
P(x) = 30x - 6000
where x is the number of hats produced and sold.
a) To get a profit of $60000, we will solve for x as;
30x - 6000 = 60000
30x = 66000
x = 66000/30
x = 2200
b) The number of units that must be produced to avoid a loss is;
P(x) = 0
30x - 6000 = 0
30x = 6000
x = 6000/30
x = 200 units
c) The graph of the profit function is as attached.
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50 Points!!! Are RHS and HL triangles the same? Yes or no? Explain.
Answer:
Yes------------------
RHS and HL refer to same thing.
A right angled triangle has one hypotenuse and two sides.
If the hypotenuse and one side of one triangle is congruent to hypotenuse and one side of another triangle, then the two triangles are congruent.
We know sides of a right triangle are also called the hypotenuse and legs. RHS is also called HL because they both refer to hypotenuse and one side or leg.
Please Help me With this ASAP (20 Points)
Answer:
200*1-0.95-0.95+0.9025
200*1-1.9+0.9025
200*0.0025
0.5
While training for a marathon, jeff wants to increase the number of miles he runs each day. On the first day of training, jeff runs 5 miles. He plans on increasing the number of miles he runs a day by 1 for the remainder of the week. Write a series to model the situation. + + + + + +.
If Jeff runs 5 miles on first day and plans on increasing the number of miles he runs a day by 1, then the series to model the situation is 5, 6, 7, 8, 9, 10 and 11
Number of miles that Jeff run on the first day = 5 miles
He plans on increasing the number of miles he runs a day by 1 or the remainder of the week
Therefore the common difference of the series will be 1
The first term = 5 miles
The second term = 5 +1 = 6 miles
The third term = 6 + 1= 7 miles
The fourth term = 7 + 1 = 8 miles
The fifth term = 8 + 1 = 9 miles
The sixth term = 9 + 1 = 10 miles
The seventh term = 10 + 1 = 11 miles
Hence, the series to model the situation is 5, 6, 7, 8, 9, 10 and 11
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The F distribution's curve is positively skewed.
T/F
Answer: True
Step-by-step explanation:
-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞
The value of F is always positive or zero. It never has negative values.
If Jodie works on the computer for 6 hours every 2 days how many hours will she work on the computer in 14 days?
[tex]\begin{array}{ccll} hours&days\\ \cline{1-2} 6 & 2\\ x& 14 \end{array} \implies \cfrac{6}{x}~~=~~\cfrac{2}{14} \implies \cfrac{6}{x}=\cfrac{1}{7}\implies 42=x[/tex]
Answer: 42 hours
add 6 every 2 days
the hudson valley renegades stadium hold a maximum of 4,505 people. During the height of their popularity, they sold out 219 consecutive games. how many tickets were sold during this time?
Answer:
Step-by-step explanation:
4,505 tickets were sold 219 times.
4,505 x 219
The answer is 986,595
FILL IN THE BLANK. reducing pest populations to a level where their effects are tolerable or acceptable is termed ___
suppression
prevention - keeping a pest from becoming a problem. suppression - reducing pest numbers or damage to an acceptable level, and . eradication - destroying an entire pest population.
How can we manage the population pest?
In the field, there are three main approaches to biological control: Natural enemy conservation, the introduction of new natural enemies, and the establishment of a stable population are referred to as "classical biological control." Bulk raising and periodic release, whether on a seasonal or inundative basis, are the other two methods.
What are the elements that influence the expansion of the pest population?
In general, heat, humidity levels, light quality or quantity, wind, or any combination of these elements affect all important life stages of insect pests, diseases, and weeds (survival, reproduction, and dissemination).
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reducing pest populations to a level where their effects are tolerable or acceptable is termed suppression.
Prevention is the process of preventing a pest from becoming a problem. Suppression is the process of reducing pest numbers or damage to an acceptable level, and Eradication is the destruction of an entire pest population.
How can we control the pest population?There are three main approaches to biological control in the field: "Classical biological control" refers to the conservation of natural enemies, the introduction of new natural enemies, and the establishment of a stable population. The other two methods are bulk raising and periodic release, whether seasonal or inundative.
What factors influence the expansion of the pest population?
In general, heat, humidity, light quality or quantity, wind, or any combination of these elements affect all important life stages of insect pests, diseases, and weeds (survival, reproduction, and dissemination).
reducing pest populations to a level where their effects are tolerable or acceptable is termed suppression.
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At a football stadium, 5% of the fans in attendance were teenagers. If there were 340 teenagers at the football stadium, what was the total number of people at the stadium?.
The total number of people at the stadium was 6800 people .
A Percent in mathematics is defined as a number or ratio that is expressed as a fraction of 100 , it is denoted by sign "%" .
For Example : 2% is = 2/100 .
In the question ,
it is given that ,
percent of teenagers fans in the stadium is = 5%
number of teenagers present at the football stadium is = 340
which means 5% represents 340 people ,
So , 1% will be 340/5 = 68 people .
the total percent of people present in the stadium is = 100% ,
multiplying both sides by 100 ,
we get ,
So , 100% = 68 × 100 = 6800 people
Therefore , The total attendance at the football stadium was 6800 people .
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An electronic manufacturer determine that the profit P (in dollar) obtained by producing x unit of a DVD player and y unit of a DVD recorder i approximated by the model P(x, y) = 8x 10y − (0. 001)(x2 xy y2) − 10, 000. Find the production level that a maximum profit. What i the maximum profit?
The production level that a maximum profit is 186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.
The P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate of the given equation with respect to x and y,
Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2
Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000) = 10-0.001(x-2y) ... 3
Considering the above equation to be equal to zero :
=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4
=>10-0.001(x-2y) =0 =>0.001(x-2y) = 10 ...5
Solving the equations 4 and 5 we get the lues of x and y we get are :
x= 2000, and y = -4000 , Now the partial differentiate for the equations 2 ad 3 are with respect to x and y :
pxx(x,y)=-0.002
pyy(x,y)= 0.002
pxy(x,y) =-1
The discriminant of the function wil be at (2000,-4000):
D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0, so the critical values (200, -4000) reaches the maximum value .So the production level will be :
P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000
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a publisher reports that 76v% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 200200 found that 71q% of the readers owned a particular make of car. is there sufficient evidence at the 0.010.01 level to support the executive's claim? step 2 of 7 : find the value of the test statistic. round your answer to two decimal places.
The value of the test statistic is -1.72.
It is given that, a publisher reports that 76% of their readers own a particular make of car.
At the null hypothesis we test, if the proportion is of 76%
⇒ H₀ : p = 0.76
At the alternate hypothesis, we test if the proportion is different from 76%
⇒ H₁ : p ≠ 0.76.
We know the test statistic is,
z = x - μ / (σ/[tex]\sqrt{n}[/tex])
where x is the sample mean,
μ is the value tested at the null hypothesis,
σ is the standard deviation
and n is the size of the sample.
Therefore 76% tested at the null hypothesis
⇒μ = 0.76 and σ = [tex]\sqrt{0.76 * 0.24}[/tex]
Now a random sample of 200 found that 71% of the readers owned a particular make of car.
⇒ n = 200 and x = 0.71
then the value of test statistic implies that,
z = (0.71 - 0.76) /([tex]\sqrt{0.76 * 0.24}[/tex] / [tex]\sqrt{200}[/tex])
= - 0.05 /(0.42/14.14)
= - 0.05 / 0.029
z = - 1.72
So z = -1.72 has a p value 0.4272.
implies that 0.01 * 0.4272 =0.04272
So 0.042 > 0.01
which means that there is not sufficient evidence at the 0.01 level to support the executive's claim.
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The ale tax on a car that old for $13,500 i $910. At thi rate, how much higher i the tax on a car that ell for $16,500
The tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
What is the percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We have,
First car price is = $13,500
and tax of the first car is = $910
Second car price is = $16,500
and tax of the second car is = ?
so,
$13,500 ----- 100,
$910 ----- x
x = 910 * 100 / 13500
x = 6.7
therefore, the rate of tax is 6.7%
so, we will calculate the tax for the second car,
$16,500 ----- 100,
y ----- 6.7
y = 6.7 * 16,500 / 100
y = $1105.5
difference of tax price between two cars = $1105.5 - $910 = $195.5
Hence, the tax on a car that sells for $16,500 at the rate of 6.7% is $195.5 higher.
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the vertices of a triangle are p(-2, -4), q(2, -5) and r(-1, -8). name the vertices of the triangle after arefelction over the y-axis
The vertices of the triangle after reflection over the y - axis are P'(2,-4) , Q'(-2 , -5) and R'(1 , -8) .
In the question ,
it is given that ,
the vertices of the triangle PQR are P(-2, -4), Q(2, -5) and R(-1, -8),
we have to write the coordinates after reflection over y axis .
we know that the coordinate (x,y) after reflection over y axis become (-x,y).
So , the coordinate P(-2 , -4) after reflection is P'(2,-4) .
the point Q(2,-5) becomes Q'(-2 , -5) .
the vertex R(-1 , -8) becomes R'(1 , -8) .
Therefore , the vertices of the reflected triangle are P'(2,-4) , Q'(-2 , -5) and R'(1 , -8) .
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In a company, 90% of the workers are woman. If 430 people work for the company who aren’t woman, how many workers are there in all? Use pencil and papare. Show two different ways that you can solve this problem
4300 workers are there in all.
What is algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.
Here, we have
In a company, 90% of the workers are women.
430 people work for the company who aren’t women.
% of male = 10%
Now,
10% of x = 430
10÷100 × x = 430
x = 4300
Hence, 4300 workers are there in all.
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PLEASE HELP ME
What is the y-intercept of this line?
I keep getting confused someone please help me and explain it better to me
Answer:
2
Step-by-step explanation:
The y-intercept is the point at which the graph crosses the y-axis.
(I have marked it in blue on the attached graph).
From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.
pls help right now I need help
giving brainliest
this is reading btw
Answer:
The answer is A
Step-by-step explanation: I'm so smart
During a 90 school play the main character was on stage 80% of the time
Answer:7,200
Step-by-step explanation:
you have to do 90*80.0=7,200
show that if f is a function from s to t, where s and t are finite sets with |s| > |t|, then there are elements s1 and s2 in s such that f(s1)
T|=|S|⟹ there is bijection F:S→T.
What are bijection function?A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.
In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.
No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.
One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.
According to our question-
The function f:ST |S||T| has an injective and not a surjective nature.
Assume an injective function exists: g:TS|T||S|. |T|=|S|
(this follow from the Cantor-Bernstein theorem).
|T|=|S|⟹ F:S:T has a bijection.
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Levi is going to invest $3,700 and leave it in an account for 17 years.
Assuming the interest is compounded daily, what interest rate, to the
nearest tenth of a percent, would be required in order for Levi to end
up with $6,100?
Answer:39.3 percent
Step-by-step explanation:
3700 out of 6100 is 39.34 percent
Explain how you can model 3 x 2/4
The value of [y] will be 1.
What is a expression? What is a mathematical equation? What is degree of a equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Degree of equation is the highest power of x in the given equationGiven is the following expression -
y = 2 x (2/4)
We can write the value of [y] as -
y = 4/4 = 1
y = 1
Therefore, the value of [y] will be 1.
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On december 31 wintergreen, inc. , issued $150,000 of 7 percent, 10-year bonds at a price of 93. 25.
Answer:
Cash - $139,875 (debit)
Discount on bonds payable - $10,125 (debit)
Bonds payable - $150,000 (credit)
Step-by-step explanation:
Next time please put the complete question. For other people the question is:
On December 31, 2019, Wintergreen, Inc., issued $150,000 of 7 percent, 10-year bonds at a price of 93.25. Complete the necessary journal entry by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.
A computer sends a packet of information along a channel and waits for a return signal acknowledging that the packet has been received: If no acknowledgment is received within a certain time, the packet is re-sent: Let X represent the number of times the packet is sent. Assume that the probability mass function of X is given by cx for x S 1,2,3,4, or 5 otherwise p(x) where c is a constant. a Find the value of the constant C so that p(x) is a probability mass function. b. Find P(X = 2). C. Find the mean number of times the packet is sent d. Find the variance of the number of times the packet is sent: e. Find the standard deviation of the number of times the packet is sent:
The probability mass function of X is given by P(X = 2). is 2/15
given that a computer sends a packet of information along a channel and waits for a return signal acknowledging that the packet has been received. If no acknowledgment is received within a certain time, the packet is re-sent
Let X represent the number of times the packet is sent. Assume that the probability mass function of X is given by
p(x)={ cx for x=1,2,3,4, or 5
{ 0 otherwise
where c is a constant.
Let us write pdf as follows
x 1 2 3 4 5 Total
p c 2c 3c 4c 5c 15c
Since total probability = 1
we get
c = 1/15
P(X=2)=2c = 2/15
Therefore, the probability mass function of X is given by P(X = 2). is 2/15
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PLEASE PLEASE PLEASE HELP ME. I HAVE BEEN STUCK ON THIS PROBLEM FOR 30 MINUTES OR MORE AND I KEEP GETTING IT WRONG
find the missing information.
arc length 40 cm
radius?
central angle 20 degrees
round to the nearest thousandth
Answer:
360
Step-by-step explanation:
You have degrees, so just plug stuff in and cross multiply. This gives you 20π=180*(x radians). (x is what we're solving for.) Solving gives x= π/9 radians.
Now we know θ in terms of radians. We can just plug our numbers in and solve!
40=r(π/9)
Divide by π/9 to get r=360/π cm!
О
A
13x + 13
7x+7
60°
с
B
Answer:
x = 9
Step-by-step explanation:
(7x + 7) + 60 = 13x + 13 (exterior angle)
7x + 67 = 13x + 13
6x = 54
x = 9
On a number line, point d is at -6, and point e is at 8. point f lies between points d and e. if is , where does point f lie on the number line? point f is at on the number line.
The point F lies on 4.5 in the number line.
What is the number line?
The number line is a One dimensional representation of point referring by a number only.
We know that if a point divides a line joining the points at x, y in the number line respectively in m:n ratio then that point lies on
= (my+nx)/(m+n) in the number line.
Here in the given problem that,
Point D lies on -6 in the number lin
Point E lies on 8 in the number line
And F lies between D and E points and DE:EF = 3:1
So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.
So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5
Hence, the point F lies on 4.5 in the number line.
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Determine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
Answer:
-3
Step-by-step explanation:
we just fill in x to see if it is true
5(-3)+12>2(-3)+6
-15+12>-6+6
-3>0
false
5(3)+12>2(3)+6
15+12>6+6
27>12
true
5(-1)+12>2(-1)+6
-5+12>-2+6
7>4
true
5(1)+12>2(1)+6
5+12>2+6
17>8
true
Hopes this helps please mark brainliest
Help hurry
Saul writes the function f(x) = 200(0.90) x to model the decrease of
an initial population of 200 organisms at a decay rate of 10% each hour. He says that if the
initial population had been 100 more, the new function would be g(x) = 200(0.90) x + 100. Is
Saul correct? Explain why or why not.
Saul's claim about the new function is incorrect
How to determine if Saul is correct or not?The function that models the decrease of an initial population of 200 organisms at a decay rate of 10% each hour is given as
f(x) = 200(0.90)ˣ
When the initial value is increased by 100, the initial value becomes
Initial value =200 + 100 = 300
A population function with 10% decrement is represented as
g(x) = Initial value * (0.90)ˣ
So, we have
g(x) = 300(0.90)ˣ
See that f(x) = 300(0.90)ˣ does not equal g(x) = 200(0.90) x + 100
Hence, Saul is incorrect
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Find the volume of the figure below:
evaluate the sum of 4.2 and 466.99
The sum of decimals 4.2 and 466.99 evaluates to 471.19
How to evaluate the sum of decimals?
Decimals are numbers that consist of two parts namely, a whole number part and a fractional part separated by a decimal point e.g 2.35
Given: 4.2 and 466.99
To evaluate the sum of 4.2 and 466.99, you simply need to add the two numbers. Arrange the numbers as shown below and add as you would add other numbers.
4.2
466.99
.................
471.19
................
Therefore, the sum 4.2 and 466.99 is 471.19
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