Answer:
She made $1230 more on printed shirts than plain shirts in 25 weeks.
Step-by-step explanation:
Hi,
Okay, I have to admit, this is pretty complicated. But, it's not impossible :) First things first, we know that the equation in the table is the number of shirts sold after W number of weeks. We know that we need to, first, find the total number of shirts sold in 25 weeks.
The equation for the plain shirts is 5w -4. Let's start with that.
Plugin 25 for w to find the total number of plain shirts sold after 25 weeks.
5w - 4
5(25) - 4
= 121
She sold 121 plain shirts after 25 weeks. But we're not done yet, we still have to see how much money she made after selling 121 plain shirts. To do this, we have to multiply the total number of plains shirts sold by 15. (we know that each plain short costs $15, that's why we're multiplying it by 121)
When you do this...
121 x 15
You get...
$1815
She got $1815 after 25 weeks just for selling plain shirts.
Now, let's find the total cost of printed shirts after 25 weeks.
The equation for the printed shirts if 8w + 3.
8w + 3
8(25) + 3
= 203
She sold 203 printed shirts in 25 weeks. Let's find the cost. Each printed shirt costs $15 so we need to multiply 203 by 15.
203 x 15
You get...
$3045
She made $3045 by selling printed shirts in 25 weeks.
Now, we have to subtract $3045 by $1815 to find how much more she made. You get...
3045 - 1815
= $1230
She made $1230 more on printed shirts than plain shirts in 25 weeks.
I really hope this helps :)
You are given \( f=10 \) meissurements: \( 3,5,4,6,10,5,6,9,2,13 \). (D) Calculate \( x_{2} \) \( \frac{2}{x}= \) (b) Firud m. \( m= \) (c) Find the mode. (If these is more than one mode, enter your answer
Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.
Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13
Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).
(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.
First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.
Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.
Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.
(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.
To know more about modes visit:
brainly.com/question/33298559
#SPJ11
Evaluate (2 - 5 i) (p + q) (i) when p = 2 and q = 5 i
Answer:
29i
Step-by-step explanation:
https://socratic .org/questions/how-do-you-evaluate-2-5i-p-q-i-when-p-2-and-q-5i#304498
If you want a description, copy that into your browser and take out the spaces between "socratic" and ".org".
Answer:
A
Step-by-step explanation:
container i holds $8$ red balls and $4$ green balls; containers ii and iii each hold $2$ red balls and $4$ green balls. a container is selected at random and then a ball is randomly selected from that container. what is the probability that the ball selected is green? express your answer as a common fraction.
The probability of selecting a green ball is \($\frac{10}{14}$\).
This can be calculated using the formula for probability,\($P(A) = \frac{n(A)}\)\({n(S)}$\), where n(A) is the number of favorable outcomes and n(S) is the total number of possible outcomes.
In this problem, there are three possible containers that can be selected. The first contains 8 red balls and 4 green balls, the second contains 2 red balls and 4 green balls, and the third contains 2 red balls and 4 green balls.
Therefore, the total number of possible outcomes is 14 (8 + 4 + 2 + 4 + 2 + 4).
The number of favorable outcomes is 10 (4 + 4 + 2).
Therefore, the probability of selecting a green ball is \($\frac{10}{14}$\)
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
3. 0.3 + 0.2 + 0.1 =
so what would the answer be?
Answer:
1.2
Step-by-step explanation:
3. 0.3+0.2+0.1
Multiply 3 and 0.3 to get 0.9
0.9+0.2+0.1
Add 0.9 and 0.2 to get 1.1
1.1+0.1
Add 1.1 and 0.1 to get 1.2
1.2
find the value of x and the measure of each angle
Answer:
see explanation
Step-by-step explanation:
since QR ≅ RS , the triangle is isosceles with base angles congruent, so
∠ Q = ∠ S , that is
8x - 17 = 5x + 1 ( subtract 5x from both sides )
3x - 17 = 1 ( add 17 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Then
∠ Q = 8x - 17 = 8(6) - 17 = 48 - 17 = 31°
∠ R = 19x + 4 = 19(6) + 4 = 114 + 4 = 118°
∠ S = 5x + 1 = 5(6) + 1 = 30 + 1 = 31°
Need help will give you the brainliest
Answer:
8q+2r
since all of the terms are to the first power, you can add them if they have the same term (so there are 5 indivudal q's and 3q so 8q)
Answer:
8q+2r
Step-by-step explanation:
please mark brainliest
Eleven students are competing in an art contest. In how many different ways can the students finish first second and third
The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).
Now, imagine that each student is a ball that is numbered from 1 up to 11.
The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following
To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is
\(11\cdot10\cdot9\text{ = 990}\)Evaluate the function requested. Write your answer as a fraction in lowest terms. find cos B
Answer:
what? please give more details
Step-by-step explanation:
Answer: A
Step-by-step explanation:
see pictures
Find the area of the circle. Give your answer to two decimal places . Please show work
Answer:
1256.64
Step-by-step explanation:
a deck of cards has 4 suits, clubs, diamonds, hearts and spades, and 13 denominations, ace, 2-10, jack, queen and king. what is the probability of getting a poker hand (5 cards) containing 3 cards of one denomination and 2 cards of a second denomination? in other words, the probability of getting a full house.
The probability of getting a poker hand (5 cards) containing 3 cards of one denomination and 2 cards of a second denomination or full house is 0.00144 or about 0.14%.
To calculate the probability of getting a full house, we need to first determine the total number of possible 5-card hands. This can be done using the formula for combinations:
C(52, 5) = 2,598,960
There are 2,598,960 possible 5-card hands from a standard deck of 52 cards.
Next, we need to count the number of ways to get a full house. To do this, we first choose the denomination for the 3-of-a-kind (there are 13 options), then choose which 3 of the 4 cards of that denomination to include (there are C(4,3) ways to do this), and finally choose the denomination for the pair (there are 12 remaining denominations to choose from), and which 2 of the 4 cards of that denomination to include (there are C(4,2) ways to do this). So the total number of full houses is:
13 * C(4,3) * 12 * C(4,2) = 3,744
Therefore, the probability of getting a full house is:
P(full house) = 3,744 / 2,598,960
≈ 0.00144
So the probability of getting a full house is approximately 0.00144 or about 0.14%.
Learn more about probability at https://brainly.com/question/20912990
#SPJ11
4. Make the following simplification in the cohort model of age distribution: woman have children between the ages of 13 and 38 inclusive; each woman has exactly one female child; - each woman lives t
The simplification assumes that women have children between the ages of 13 and 38, and each woman has exactly one female child.
What simplification is made in the cohort model of age distribution regarding childbirth and the gender of children?The given paragraph describes a simplification made in the cohort model of age distribution. The simplification states that women in this model only have children between the ages of 13 and 38, inclusive. Furthermore, it assumes that each woman gives birth to exactly one female child.
Additionally, the paragraph mentions that each woman lives for a certain duration denoted by the variable "t," although the sentence is incomplete and lacks further information.
In the cohort model of age distribution, various factors are considered to analyze population dynamics. Age-specific fertility rates are used to determine the number of births occurring in each age group.
By restricting childbirth to the ages of 13 to 38 and assuming one female child per woman, this simplification narrows down the complexity of the model.
However, it is important to note that this simplification may not reflect the full complexity of real-world scenarios. In reality, women can have children at different ages, and the gender of the child is not predetermined.
Nonetheless, this simplification can be useful in certain analytical contexts where a more focused analysis of specific age groups or gender-specific effects is desired.
Learn more about simplification
brainly.com/question/23509407
#SPJ11
what is the slope of the line 180x-30y+10=0?
Answer:
-6
Step-by-step explanation:
ax+by=c slope is -a/b ∴ the slope is -180/30 or -6
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
1) Yes because the slope, 10x, is constant
2) Yes for every 1 hour of baby sitting $10 dollars is earned.
Consider Brainliest!
Solve for x. -- 2x + 6 = 30 - 6x -6 6 -8 8
Answer:
6
Step-by-step explanation:
\(-2x+6=30-6x\\\\4x+6=30\\\\4x=24\\\\x=6\)
1. add 6x to both sides
2. subtract 6 from both sides
3. divide both sides by 4
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
-2x+6=30-6x-2x+6x=30-6(-2+6)x=244x=24\(\sf{x=\dfrac{24}{4} }\) x=6What is the equation of this graph?
Answer:
y=-1x+-1
Step-by-step explanation:
the line is on the -1 on the x axis and the y axis
marco needs to buy some dog food. at the nearest store, 5 bags of dog food cost $12.50. how much would marco spend on 3 bags of dog food
Answer:
7.5
Step-by-step explanation:
Since we are given the price for 5 bags of dog food, we have to find the unit rate. Now to do that we divide the price by the amount.
12.50/5= 2.50
now since we have the unit rate, we take that and multiply the price of one by 3 to find the price of 3
2.50x3=7.50
Hope this helps!
Answer: 7.5 bags
Step-by-step explanation:
$12.50 divided by 5 bags= $2.5 per bag
$2.5*3 bags= $7.5
f(x) = 2x² + 7x + 18
Find f(-4)
Answer:
f(- 4) = 22
Step-by-step explanation:
substitute x = = - 4 into f(x)
f(- 4) = 2(- 4)² + 7(- 4) + 18 = 2(16) - 28 + 18 = 32 - 10 = 22
I need to show the work. Please help
Answer:
18
Step-by-step explanation:
125 = 7x - 1 ...... because if the two lines are parallel alternate interior angles are congruent
125 + 1 = 7x
126 = 7x
\( \frac{126}{7} = \frac{7x}{7} \)
x = 18
hope it helps
for any question comment me ❤❤
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.
Answer:
tangent x = 12/9
Step-by-step explanation:
Hello There!
Once again these are the Trigonometric Ratios
SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tan = Opposite over Adjacent (TOA)
And for this one we are asked to find the tangent of angle x
Remember tangent = opposite over adjacent
opposite - the side length that is opposite of the angle (so the angle will be facing that side length)
adjacent - the side length that is not the opposite nor the hypotenuse
The opposite of angle x is 12 and the adjacent of angle x is 9
so tangent x = 12/9
What is the point prevalence proportion in a cross-sectional survey of 150 adults in which 30 are diagnosed with diabetes
The point prevalence proportion of diabetes in the given cross-sectional survey is 0.2 or 20%
In a cross-sectional survey of 150 adults in which 30 are diagnosed with diabetes, the point prevalence proportion can be calculated by dividing the number of individuals with the condition by the total number of individuals in the sample.In this case, the point prevalence proportion of diabetes can be calculated as:\frac{30}{150}=0.2 . Therefore, the point prevalence proportion of diabetes in the given cross-sectional survey is 0.2 or 20%.
Learn more about point :
https://brainly.com/question/28224145
#SPJ11
What are the coordinates of the vertex of the graph?
Answer:
(-2,-4)
Step-by-step explanation:
The Vertex is in the middle of the parabola
so the middle would be 2 units to the left and 4 units down.
urn a contains six white balls and seven black balls. urn b contains five white balls and three black balls. a ball is drawn from urn a and then transferred to urn b. a ball is then drawn from urn b. what is the probability that the transferred ball was white given that the second ball drawn was white?
Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.
To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:
P(A|B) = P(B|A) * P(A) / P(B)
where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:
P(A|B) = P(B|A) * P(A) / P(B)
P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.
P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.
P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.
To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.
The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.
Therefore, we can calculate P(B) as follows:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (2/3) * (6/13) + (5/9) * (7/13)
= 89/117
Now we can plug in all the values into Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
= (2/3) * (6/13) / (89/117)
= 52/89
Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.
To know more about Bayes' theorem refer here :
https://brainly.com/question/29598596#
#SPJ11
In def, de=29 feet, ef=26 feet, and df=32 feet. which correctly gives the order of the angle measure from largest to smallest?
The angle E has the largest measure, followed by angles F and D which have the same measure.
To find the order of angle measures from largest to smallest in triangle DEF, we can use the Law of Cosines. This law relates the lengths of the sides of a triangle to the cosine of the opposite angle. The formula is:
c² = a² + b² - 2ab cos(C)
where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Using this formula, we can find the cosines of each angle in triangle DEF:
cos(D) = (e² + f² - d² ) / (2ef) = (26² + 32² - 29² ) / (2 × 26 × 32) ≈ 0.322
cos(E) = (d² + f² - e² ) / (2df) = (32² + 26² - 29² ) / (2 × 32 × 26) ≈ 0.642
cos(F) = (d² + e² - f² ) / (2de) = (32² + 26² - 29² ) / (2 × 32 × 26) ≈ 0.642
The cosine function is decreasing on the interval [0,π], so the order of the angles from largest to smallest is:
E > F = D
You can learn more about angles at: brainly.com/question/31818999
#SPJ11
Which expressions below equal a rational number? Choose all that apply.
please help me, i need the answer ASAP
Answer:
2,3 and 4 are rational
Step-by-step explanation:
is a data entry input control that involves summing the first four digits of a customer number to calculate the value of the fifth digit, then comparing the calculated number to the number entered during data entry.
The data entry input control that involves summing the first four digits of a customer number to calculate the value of the fifth digit, and then comparing the calculated number to the number entered during data entry, is known as "check digit verification."
Here's a step-by-step explanation of how check digit verification works:
1. Let's say we have a customer number, such as 12345.
2. To calculate the check digit, we sum the first four digits: 1 + 2 + 3 + 4 = 10.
3. The calculated value, 10, is then compared to the number entered during data entry.
4. If the check digit entered by the user matches the calculated value, the data entry is considered valid and accurate.
5. However, if the check digit entered by the user does not match the calculated value, it indicates that an error may have occurred during data entry.
6. In such cases, the system can flag the data entry as potentially incorrect or prompt the user to recheck and correct the entered value.
Check digit verification is commonly used in various industries to ensure the accuracy and integrity of data. It provides a way to quickly identify potential errors during data entry, such as transposed digits or mistyped numbers.
Learn more about data entry: https://brainly.com/question/2089568
#SPJ11
What are the three rules of logs?
The three rules of logs are the product rule, quotient rule, and power rule.
The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.
Product rule:
The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.
Quotient rule:
The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.
Power rule:
The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.
Learn more about logarithmic:
https://brainly.com/question/28346542
#SPJ4
Pls answer these ratio questions with full working out I really need to now the method!
Step-by-step explanation:
a) 2+3=5
2/5 * 80= 32
3/5 * 80= 48
b) 5+7= 12
5/12 * 156= 65
7/12 * 156= 91
c) 4+5=9
4/9*384=170.67
5/9*384=213.34
d) 1+2+3=6
1/6*1.62=0.27
2/6*1.62=0.54
3/6*1.62=0.81
e) 1+1+4=6
1/6*96=16
1/6*96=16
4/6*96=64
This Question is confusing the heck out of me can someone help me with it.
1 3/8 x 3 =
3 2/8 x 3 =
Answer:
1. 4.125
2. 9.75
Step-by-step explanation:
Solve the proportion
Answer:
The value of x for the following proportion is: 3/2
Step-by-step explanation:
Given proportion is:
\(\frac{x}{6} = \frac{6}{24}\)
In order to solve the proportion, we have to isolate x on one side of the equation and then simplify
First of all simplifying
\(\frac{x}{6} = \frac{1}{4}\)
Now to find the value of x, multiplying both sides by 6
\(\frac{x}{6} * 6 = \frac{1}{4}*6\\x =\frac{6}{4}\\x = \frac{3}{2}\)
Hence,
The value of x for the following proportion is: 3/2