Answer:
3/28
Step-by-step explanation:
There are 14 marbles in the bag. So, the probability of choosing a blue marble is 7/14 or 1/2. Since the first marble is replaced, the bag still has 14 marbles in it. Then the probability of choosing a red marble is 3/14. The probability of choosing the blue, then the red is 1/2 x 3/14 = 3/28
The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck
Answer:
The area of the deck is of 146.14 squared units.
Step-by-step explanation:
Regular hexagon:
A regular hexagon has 6 sides, all with the same measure.
Perimeter of a regular hexagon:
The perimeter of a regular hexagon with side x is given by:
[tex]P_h = 6x[/tex]
Area of a regular hexagon:
The area of a regular hexagon with side x is given by:
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]
It has a perimeter of 45 units.
This means that:
[tex]6x = 45[/tex]
[tex]x = \frac{45}{6}[/tex]
[tex]x = 7.5[/tex]
What is the are of the deck
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]
The area of the deck is of 146.14 squared units.
mams buy 3 large sandwiches to serve at a picnic. 9 people come to the picnic. Show 3 different ways to cut the sandwich so that each person gets an equal share.
Cut each sandwich into thirds.
Hopefully, your friends aren't very hungry
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
.83
Step-by-step explanation:
to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:
.83
hope this helps!!
A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). (Enter your answers to four decimal places.)
Required:
a. How many selections result in all 7 workers coming from the day shift?
b. What is the probability that all 7 selected workers will be from the day shift?
c. What is the probability that all 7 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in that sample of workers?
Answer:
Step-by-step explanation:
Total number of workers = 20+ 15 + 10 = 45
Suppose 6 workers are selected from 45 workers, the number of ways they can be selected is [tex](^{45}_6)[/tex] ways
If 7 workers are selected from 20 workers on a day shift;
Then, the number of ways to select 7 members from a group of 20 is [tex](^{20}_7)[/tex] ways;
∴
P( all 7 selected workers will be from the day shift) is:
[tex]= \dfrac{(^{20}_7)}{(^{45}_6)}[/tex]
[tex]=\dfrac{ \dfrac{20!}{7!(20-7)!} } { \dfrac{45!}{6!(45-6)!}}[/tex]
= 0.0095
The possible number of ways to select all day shift workers is:
[tex]=(^{20}_{7})[/tex]
The possible number of ways to select all swing shift workers is:
[tex]=(^{15}_{7})[/tex]
The possible number of ways to select all graveyard shift workers is:
[tex]= ( ^{10}_{7})[/tex]
∴
The probability that all selected workers are from the same shift is:
[tex]= \Bigg [ \dfrac{ (^{20}_7) }{(^{45}_6) } + \dfrac{ (^{15}_7) }{(^{45}_6) } + \dfrac{ (^{10}_7) }{(^{45}_6) } \Bigg][/tex]
[tex]= \begin {bmatrix} \dfrac{ \dfrac{20!} {7!(20-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{15!} {7!(15-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } + \dfrac{ \dfrac{10!} {7!(10-7)!}}{ \dfrac{ 45! }{6!(45-6)!} } \end {bmatrix}[/tex]
= 0.0095 + 0.00079 + 0.000015
= 0.010305
P(selected workers are from at least two different shifts)
= 1 - P(selected workers are from 1 shift from any of the 3 shifts)
= 1 - 0.010305
= 0.989695
≅ 0.9897
We can determine the probability that at least one shift is unrepresented through the following ways:
Let assume that:
[tex]X_1 =[/tex] event that day shift is unrepresented
[tex]X_2 =[/tex] event that swing shift is unrepresented
[tex]X_3 =[/tex] event that graveyard shift is unrepresented
Thus; [tex](X_1 \cap X_2)[/tex] = event that all of them are drawn from graveyard shift.
[tex](X_1 \cap X_3) =[/tex] event that all are drawn from swing shift
[tex](X_2 \cap X_3) =[/tex] event that they are all drawn from day shift.
So;
[tex]P(X_1) = \dfrac{(^{25}_{7})} { (^{45}_{6}) } = 0.0590[/tex]
[tex]P(X_2) = \dfrac{(^{30}_{7})} { (^{45}_{6}) } = 0.2499[/tex]
[tex]P(X_3) = \dfrac{(^{35}_{7})} { (^{45}_{6}) } = 0.8256[/tex]
[tex]P(X_1 \cap X_2) = \dfrac{(^{10}_{7})} { (^{45}_{6}) } = 0.000015[/tex]
[tex]P(X_1 \cap X_3) = \dfrac{(^{15}_{7})} { (^{45}_{6}) } = 0.00079[/tex]
[tex]P(X_2 \cap X_3) = \dfrac{(^{20}_{7})} { (^{45}_{6}) } = 0.0095[/tex]
[tex]P(X_1 \cap X_2 \cap X_3) =0[/tex]
Probability (that at least one shift is unrepresented) is:
[tex]= P(X_1) + P(X_2) +P(X_3) - P(X_1 \cap X_2) - P(X_1 \cap X_3) - P(X_2 \cap X_3) + P(X_1 \cap X_2 \cap X_3)[/tex]
= 0.0590 + 0.2499 + 0.8256 - 0.000015 - 0.00079 - 0.0095 + 0
≅ 1.124
Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.
Let H represent heads and T represent tails.
Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.
We have these four possible outcomes when flipping two coins
HHHTTHTTOf those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.
A bakery did a survey among 100 customers to find their food preference . The customers were asked about their preferences for cupcakes or brownies. Out of the total 72 people who liked cupcakes, 37 also liked brownies. There were 59 people who liked brownies.
Part A. Summarize the data by writing the values that the letters A to I in the table below represents
PART B. What percentage of the survey respondents did not like cupcakes or brownies ?
PART C . Do the survey results reveal a greater dislike for brownies or cupcakes? Justify your answer.
PLZZZ HELP
Have you found the answer yet?
Answer:
put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle
For the ppl who can click on brainly:
Part A:
Like Cupcakes
Do Not Like Cupcakes
Total
Like Brownies
37
22
59
Do Not Like Brownies
35
6
41
Total
72
28
100
Part b: 6
Part c: You really have to figure out how to word this 37- 72=35 35-41=6
hope it helps
PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT
What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5
Answer:
4+4+4+4+5
Step-by-step explanation:
is 5 times the number only expanded
Answer:
4+4+4+4+5
Step-by-step explanation:
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A
Answer:
Yes
Step-by-step explanation:
Given that :
CHAIN A:
Sample size n1 = 30
Sample standard deviation of waiting time s1 = 21.2
CHAIN B:
Sample size, n2 = 28
Sample standard deviation of waiting time s2 = 31.4
Null hypothesis H0: s1 = s2
Alternative hypothesis H1: s1 < s2
Test statistic ; Ftest : s1² / s2²
Ftest = 21.2^2 / 31.4^2
= 0.4558399
P value from F statistic : = 0.02 (using p value calculator)
Since the pval < 0.05
Then we reject the Null ; Chain A waiting time is more consistent
5x + y = 6
5x + 3y=-4
The y-coordinate of the solution to the system shown is
-5
01
1
2
0-1
2. Using the ruler below, construct a triangle that has side lengths of 3 cm, 4 cm, and 5 cm.
triangle does this appear to be? Verify by using your protractor to measure angles.
What type of
Step-by-step explanation:
if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):
3²+4²=5²; ⇔ 9+16=25.
Complete the following statements.
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains fluid ounces of liquid.
The soda bottle contains gallons of liquid.
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains quarts of milk.
The milk jug contains liters of milk.
Answer:
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains 0.525 gallons of liquid.
2) A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains 8 quarts of milk.
The milk jug contains 7.6 liters of milk.
Step-by-step explanation:
We need to complete the statements.
1)
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains ------- fluid ounces of liquid.
Converting Liters to fluid ouncesWe know that 1 liter = 33.81 fluid ounces
So, 2 liter = 2 x 33.81 = 67.62 fluid ounces
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains gallons of liquid.
Converting liters to gallonsAs, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons
We know that
1 liter = 1.05 quarts
2 liters = 2 x 1.05 = 2.1 quarts
4 quarts = 1 gallon
1 quarts = 1/4 gallon
2.1 quarts = 1/4 * 2.1 = 0.525 gallon
The soda bottle contains 0.525 gallons of liquid.
2)
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains -------- quarts of milk.
Converting gallons to quartsWe know:
1 gallon = 4 quarts
2 gallons = 2 x 4 = 8 quarts
The milk jug contains 8 quarts of milk.
The milk jug contains ------ liters of milk.
Converting gallons to litersWe know:
1 gallon = 4 quarts
2 gallon = 8 quarts
1.05 quarts = 1 liter
1 quarts = 1/1.05 liter
8 quarts = 1/1.05 * 8 = 7.6 liter
The milk jug contains 7.6 liters of milk.
Simplify
Plsss hurry
Answer:
imma say the third one
Step-by-step explanation:
sorry if wrong
Factor out the greatest common factor
Answer:
C
A
B
D
Step-by-step explanation:
What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
I’m pretty sure 549
Step-by-step explanation:
The ratio of 15 and a number.
Answer:
15 to 20
Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day ◑﹏◐
Answer:
15:x or 15 to x
Step-by-step explanation:
it depends on what the question is asking, so if they want you to fill in a number, you could replace x with any number you'd like. but its probably a word problem they want you to put as numbers, so bc you dont know what 'a number' is, you can pick a variable such as x to replace it with.
hope this helps :)
HELP PLZZZ EASY AREA MATH
Answer:
4,400
Step-by-step explanation:
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which wich equation can my used to find how much of project she painted in all
Answer: The project is 7/8 painted.
Step-by-step explanation: Add 1/8 to 3/4 for the total.
Use the least common denominator, /8
3/4 is equivalent to 6/8.
6/8 + 1/8 = 7/8
Step-by-step explanation: To find how much of the wall Maya painted, we will add the two fractions. Let's do it step-by-step.
1. These fractions have unlike denominators, to make them alike, we have to find the LCD (Least Common Denominator).
3/4 = 6/8
1/8 = 1/8
Note: What you did to the bottom, you do to the top.
1a. I multiplied 2 by 3 and 4 to get 6/8.
1b. I multiplied 1 by 1 and 8 to get 1/8.
2. Since we have like denominators, we can add!
[tex]Solve:\frac{6}{8} +\frac{1}{8} = \frac{7}{8}[/tex]
Therefore, your answer is 7/8. The fraction don't need to be reduced to lowest terms.
The number of red marbles in a jar is 3 times the number of blue marbles
There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?
Answer:
I think this is the answer
9 blue marbles
3x=27
The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let b represents the number of blue marbles.
r represents number of red marbles in jar.
The number of red marbles in a jar is 3 times the number of blue marbles.
r=3b
There are 27 red marbles and b blue marbles.
27=3b
To find the number of blue marbles we have to solve the above equation.
Divide both sides by 3
27/3=3b/3
9=b
Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?
Answer:
Subtract 2 from both sides.
Step-by-step explanation:
Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
> Also, note the equal sign, what you do to one side, you do to the other side of the equation.
First step is to subtract 2 from both sides of the equation:
3x + 2 (-2) = 29 (-2)
3x = 29 - 2
3x = 27
The second step is to divide 3 from both sides of the equation:
(3x)/3 = (27)/3
x = 27/3
x = 9
~
Answer:
The first step is subtracting the two on both sides.
Step-by-step explanation:
You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.
Wendy is purchasing a condominium and is financing $595,000 with a 20-year 6/1 ARM at 5.65% with a 1/8 cap structure. What will her
payments be at the beginning of year 7? (3 points)
A.$4400.65
B.$4143.50
C.$3623.48
D.$3344.70
Answer:
B. $4143.50
Step-by-step explanation:
Wendy has purchased condominium and is financing it through the loan. The loan term is for 8 years with an interest rate of 5.65%. The payment at the start of the year 1 is $595,000 * 5.65% = $3344.70. The loan term reached maturity so the payment will increase to 4143.50
A man spend 10% of his salary on rent, 25% on food, 18% on transportation and the balance he saves. If his salary is $1500 per month, how much does he save each month?
Answer:
He saved $705 pls mark brainliest
Step-by-step explanation:
So 10% is $150 and 25% is 375 and 18% is 270 so you would add all those togeather to get 795 and 1500-795 is 705 so he saved $705!
Need help, please and thank you!
9514 1404 393
Answer:
y = -2·(1/2)^x
Step-by-step explanation:
The general form of the equation can be written as ...
y = a·b^x
where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.
From your table and graph, a = -2. From the table, ...
b = -1/-2 = 1/2
Then the exponential equation is ...
y = -2·(1/2)^x
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
3x - 2(6 - x) = 7x + 2(5 + x) - 6
What is the answer
Answer:
x= -4
Step-by-step explanation:
Answer: x = -4
Step-by-step explanation:
first, we remove the parentheses.
3x - 12 + 2x = 7x + 10 + 2x - 6
then, we cancel equal terms.
3x - 12 = 7x + 10 - 6
then, we calculate.
3x - 12 = 7x + 4
next, we move the terms.
3x - 7x = 4 + 12
then, we collect like terms and calculate.
-4x = 16
finally, we divide both sides.
x = -4
someone help me please
13x+7
9x+9
Answer:
x= 1/2
Step-by-step explanation:
13x+7 and 9x+9 with x inserted in both equal 13.5
(if the equation was 13x+7=9x+9)
The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
A. 18
B. 5
C. 15
D. 10
How many milligrams of medication are in 75 mL of a 2% solution?
Help
What is the value of x in the equation below?
4(x + 1) = 3x +7
Answer:
89
Step-by-step explanation:
50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!
Answer:
43
Step-by-step explanation:
