The probability that the salesman sells a deluxe and a standard encyclopedia on his two appointments is 0.126.
To calculate this probability, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.
Let S1 be the event that the salesman makes a sale on his first appointment, and S2 be the event that he makes a sale on his second appointment. Let D1 be the event that the sale is for the deluxe model, and S1 be the event that the sale is for the standard model.
Then, the probability of selling a deluxe model on the first appointment is 0.3 * 0.5 = 0.15 (since there is a 50% chance of selling a deluxe model). The probability of selling a standard model on the second appointment is 0.4 * 0.5 = 0.3 (since there is a 50% chance of selling a standard model).
Therefore, the probability of selling a deluxe model on the first appointment and a standard model on the second appointment is 0.15 * 0.3 = 0.045. However, this can also occur in reverse order (i.e., selling a standard model on the first appointment and a deluxe model on the second appointment), so we need to double the probability to get the final answer: 0.045 * 2 = 0.09.
Finally, the probability that both events occur (selling a deluxe and a standard encyclopedia on his two appointments) is 0.09 * 2 = 0.126.
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The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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Jamie and Erika were in a race. Jamie could run 15 meters per second. Erika could only run 10 meters per second. So Jamie decided to give Erika a head start of 5 meters. After how many seconds will the two girls meet?
Answer: 1 s
Step-by-step explanation:
Given
Jamie speed is 15 m/s
Erika speed is 10 m/s
Erika has a 5 m head start
For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t
\(\therefore 15t=5+10t\\\Rightarrow15t-10t=5\\\Rightarrow 5t=5\\\Rightarrow t=1\ s\)
After 1 s, Jamie and erika meet at the same point.
Answer: 1 s
Step-by-step explanation:
Given
Jamie speed is 15 m/s
Erika speed is 10 m/s
Erika has a 5 m head start
For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t
After 1 s, Jamie and erika meet at the same point.
HELPPPP NOWWW I WILL GIVE BRAINLIESTTT
Answer:
= A (The fee at Bank R will be more than the fee at Bank Q only when a customer's balance is more than $600.)
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
At the store, 10 ounces of candy cost $3.20. What is the price of 6 ounce of candy?
divide $3.20 to get the cost per ounce, and multiply it by 6 to get the price for 6 ounces.
6 ounces = $1.92
hope this helps!! :)
12 km
9.9 km
7 km
12 km
Find the perimeter of the shape below
Answer: 40.9
Step-by-step explanation:
I got this by adding all the numbers up because that’s what you do you add up all the sides for perimeter
The area of the base of a cylinder is 75 square ft and the height is 20 ft. Calculate the volume and surface
area.
Answer:
volume: 1500 , surface area: 764
Step-by-step explanation:
formula of circle's area
\(\pi \: r {}^{2} \)
formula of cylinder's surfaces area
\(2\pi \: r {}^{2} + 2\pi \: rh\)
Enola is saving money and plans on making monthly contributions into an account
earning a monthly interest rate of 0.4%. If Enola would like to end up with $5,000
after 3 years, how much does she need to contribute to the account every month, to
the nearest dollar? Use the following formula to determine your answer.
Enola needs to contribute $4,330.68 per month to the account.
How much does Enola need to contribute to the account?Let's denote the monthly contribution as X.
The interest rate is 0.4% per month.
Since Enola plans to save for 3 years, the total number of months is:
= 3 * 12
= 36 months.
Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods
We will plug values:
$5,000 = X * (1 + 0.004)^36
X = $5,000 / (1 + 0.004)^36
X = $5,000 / (1.004)^36
X = $4,330.68248
X = $4,330.68.
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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Find AC. (Khan Academy-Math)
Answer:
\(\boxed{11.78}\)
Step-by-step explanation:
From observations, we can note that BC is the hypotenuse.
As the length of hypotenuse is not given, we can only use tangent as our trig function.
tan(θ) = opposite/adjacent
tan(67) = x/5
5 tan(67) = x
11.77926182 = x
x ≈ 11.78
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm.
a. Find the probability that an individual distance is greater than 212.50 cm
b. Find the probability that the mean for 25 randomly selected distances is greater than 201.00 cm
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
a. The probability is
(Round to four decimal places as needed)
b. The probability is I
(Round to four decimal places as needed.)
c. Choose the correct answer below.
O A The normal distribution can be used because the mean is large.
B. The normal distribution can be used because the finite population correction factor is small.
OC. The normal distribution can be used because the probability is less than 0.5
OD. The normal distribution can be used because the original population has a normal distribution
Answer:
I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!
a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population. z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,
P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594
Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596
b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.
Meanpop=Meansampling dist.=197.5
St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22
Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209
c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.
Step-by-step explanation:
Question 4(Multiple Choice Worth 1 points)
(04.03 MC)
On a number line, point A is located at 4, point C is located at 11, and point B lies between points A and C. What is the location of B such that the ratio of AB BC is 2:3
8.2
6.8
5.9
5.6
Brainliest will be givenFor the numbers 2 to 100, including 2 and
100, determine each ratio.
a) the number of even numbers to the
number of odd numbers
b) the number of multiples of 6 to the
number of multiples of 8
c) the number of prime numbers to the
number of composite numbers
answer: c i believe hope it helps!!! :D
Find the midpoint of each line segment.
Answer:
(1.5, 0.5)
Step-by-step explanation:
(5, 3) and (-2, -2)
5 - 2 / 2 = 1.5
-2 + 3 / 2 = 0.5
what is 12 divided by 12 i think its 146
Answer:
12 divided by 12 is 1
Step-by-step explanation:
A calculator helped me
Answer:
1
Step-by-step explanation:
cos
glenn is building aa ramp out of plywood. he is going to use plywood sheets that are each 23 square feet. How many plywood sheets will glenn need to build all five sides of the ramp, assuming the bottom is also covered with plywood
Given data:
The area of the single plywood is a= 32 sq-feet.
The given figure of the ramp.
The expression for the hypotenuse of the triangle is,
\(\begin{gathered} (3ft)^2+(4ft)^2=h^2 \\ h^2=(25)ft^2 \\ h=5\text{ ft} \end{gathered}\)The area of the ramp is,
\(\begin{gathered} A=2\times\frac{1}{2}(3\text{ ft)(4 ft)+}(10\frac{2}{5}\text{ ft)( 5 ft)+}(3\text{ ft)}(10\frac{2}{5}\text{ ft)}+(4\text{ ft)}(10\frac{2}{5}\text{ ft)} \\ =(3\text{ ft)(4 ft)+}(10.4\text{ ft)( 5 ft)+}(3\text{ ft)}(10.4\text{ ft)}+(4\text{ ft)}(10.4\text{ ft)} \\ =136.8ft^2 \end{gathered}\)The numbers of plywood sheet require are,
\(\begin{gathered} n=\frac{A}{a} \\ =\frac{136.8ft^2}{32ft^2} \\ =4.275 \\ \approx5 \end{gathered}\)Thus, the numbers of plywood sheet needs are 5, so option (H) is correct.
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
simplify 9/14divided7/10
Answer:
45/49
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
9/14 * 10/7 = 90/98
divide the numerator and the denominator by 2.
90 * 2 = 45
98 * 2 = 49
45/49
INTERMEDIATE
3 unknown bags of gold with 3 ounces of lead balances with 1 unknown bag of gold
and 4 ounces of lead weights. How much gold is in each bag?
Answer:
I don't know what to do with it but I don't
Step-by-step explanation:
hahahaha
what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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1x²- 16x = 20 is mg questions
The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.
To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:
1x² - 16x = 20
First, move all terms to one side of the equation:
1x² - 16x - 20 = 0
Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:
x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))
Simplifying further:
x = (16 ± √(256 + 80)) / 2
x = (16 ± √336) / 2
x = (16 ± √(16 * 21)) / 2
x = (16 ± 4√21) / 2
Simplifying:
x = 8 ± 2√21
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PLEASE HELP NOW!!!
Solve for x
10cm
8cm
x
The value of x for the given triangle is 38.66° to the nearest hundredth.
Given a right angled triangle.
We have to find the angle marked as x for the given triangle.
Also given that two of the side lengths as 10 cm and 8 cm.
We can use trigonometric ratio to find the length of the unknown angle or x.
We know that,
tan (x) = Opposite side / Adjacent side
Using this function,
tan (x) = 8/10
tan (x) = 0.8
x = tan⁻¹ (0.8)
x = 38.66°
Hence the angle is 38.66°.
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In 5-card poker, the number of outcomes favorable to an event E is given in the table. Find the
probability of being dealt four of a kind or a a straight.
The probability of being dealt four of a kind or a straight is
(Round to 6 decimal places.)
Event E
Royal flush
Straight flush
Four of a kind
Full house
Flush
Straight
Three of a kind
Two pairs
One pair
No pair
Total
# of Outcomes Favorable to E
4
36
624
3744
5108
10,200
54,912
123,552
1,098,240
1,302,540
2,598,960
The probability of being dealt four of a kind or a straight is 0.00416 or 0.416%.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
In 5-card poker, find the probability of being dealt the following hand. Refer to the table.
From the table:
Total number of outcomes = 2598960
Total number of favorable outcomes = 624 + 10200 = 10824
The probability of being dealt four of a kind or a straight
P = 10824/2598960
P = 0.00416
In percentage:
P = 0.416%
Thus, the probability of being dealt four of a kind or a straight is 0.00416 or 0.416%.
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Will mark the brainiest! Please help! For the equation, complete the given table.
3x-y=9
I have attached a picture of the table.
The complete table of values is
3 9
4 3
1 -6
-21 -9
How to complete the table of valuesFrom the question, we have the following parameters that can be used in our computation:
3x - y = 9
Next, we make y the subject of the equation
So, we have the following representation
y = 3x - 9
Also, we make x the subject
x = (y + 9)/3
Using the table of values, we have
x = (0 + 9)/3 = 3
x = (3 + 9)/3 = 4
y = 3(1) - 9 = -6
y = 3(-4) - 9 = -21
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Pls help me it's urgent!
The formula that defines the sequence is f(n) = f(n-1) + 4
Recursive functionThe recursive function rule is expressed as;
f(n) = f(n-1) + d
where
d is the common difference
Given the following sequence
2, 6, 10, 14, 18..
Determine the common difference
d = 6-2 = 10-6
d = 4
Substitute to have
f(n) = f(n-1) + d
f(n) = f(n-1) + 4
Hence the formula that defines the sequence is f(n) = f(n-1) + 4
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Pls answer and show me how you got that answer
The mass of the radioactive sample at the beginning of the 13th day of the experiment will be around 424.7 grams.
What does one gramme represent?A metric weight measurement unit. A gramme is one thousandth of a kilogramme, or about 30 times smaller than an ounce. Leave a space between the word "gramme" (or the symbol "g") and the number that comes before it when a specific number is provided. In technical and scientific writing, the unit name and the number are either written together in full (for example, ten grammes) or a numeral is used with the sign ( e.g. 10 g ).
When we find the mass of radioactive, we obtain:
m₀=initial mass=1500 grams, r = 13% and n =12 days
⇒m = m₀ x \((1 - \frac{r}{100} )^{n}\)
⇒m =1500×\((1-\frac{13}{100}) ^{12}\)
⇒m=424.7 grams.
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Julie Myrick has a credit card that has an APR of 15%, applied at a daily
periodic rate to the previous balance. Her previous balance is $567,31. She made
new purchases totaling S128.92, and a payment-of $125 in the month of June.
What is her new balance?
Answer. 332.78
Step-by-step explanation:
I subtracted and as awesome its right trust me.
Match each rational expression to its simplest form.
2m2-4m
2(m2)
m2-2m+1
m-1
m-
m
m-1
EE
m
m²-3m +2
m2.
m
m
m
Reset
m²-m-2
m²-1
Next
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(m² - 2m + 1) / (m - 1)
(m² - 2m + 1) / (m - 1)
= (m - 1) / 1
= m - 1
The first rational expression simplifies to (m - 1).
(m² - 3m + 2) / (m² - m)
(m² - 3m + 2)
= (m - 1)(m - 2)
(m² - m)
= m(m - 1)
So,
(m² - 3m + 2) / (m² - m)
= (m - 2) / m
The second rational expression simplifies to (m - 2) / m.
(m² - m - 2) / (m² - 1)
(m² - m - 2)
= (m - 2)(m + 1)
(m² - 1)
= (m - 1)(m + 1)
So,
(m² - m - 2) / (m² - 1)
= (m - 2) / (m - 1)
The third rational expression simplifies to (m - 2) / (m - 1).
Thus,
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
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The complete question.
Match each rational expression to its simplest form.
(m² - 2m + 1) / (m - 1)
(m² - 3m + 2) / (m² - m)
(m² - m - 2) / (m² - 1)
Options:
(m - 2) / m
(m - 1)
(m - 2) / (m - 1)
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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Ray orders a sandwich at the deli. He needs to choose one type of bread, one type of meat, and one type of cheese from the given menu.
Bread: white or wheat
Meat: beef, ham, or turkey
Cheese: swiss or cheddar
How many different types of sandwiches could Ray choose?
A. 7
B. 8
C. 9
D. 12
E. 27
Answer: D. 12
Step-by-step explanation:
The first step here is to find all the possible selections and the number of options for each selection:
bread: 2 options (white or wheat)
meat: 3 options (beef, ham or turkey)
cheese: 2 options (swiss or cheddar)
The total number of combinations (of different possible sandwiches that Ray can order) is equal to the product between the numbers of options for each selection, so we have:
Combinations = 2*3*2 = 12
So the correct option is D.
Answer:
D. 12
Step-by-step explanation: