Answer:
=30−60i
Step-by-step explanation:
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.
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.
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)
Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough
Answer:
No, he doesn't have enough
Step-by-step explanation:
In eights, three quarters of a bottle is equal to 6/8.
Since 5/8 is smaller than 6/8, Craig won't have enough glue.
So, the answer is no.
Answer:
NO
Step-by-step explanation:
3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8
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
4.(06.02 MC)
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB In slope-Intercept form that contains point (3,-2). (4 points)
O y = 2x + 4
O y = 2x - 8
Answer:
The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
y = 2x- 8Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the equation of a line
y = 2x + 4
comparing with the slope-intercept form of the line equation
The slope of the line AB is m = 2
We know that the parallel lines have the same slope.
Thus, the slope of the new line is also 2.
now we have,
The slope of new line m = 2The point = (3, -2)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (x₁, y₁) = (3, -2)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - (-2) = 2(x - 3)
y + 2 = 2x - 6
subtracting 2 from both sides
y + 2 - 2 = 2x - 6 - 2
y = 2x- 8
Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
y = 2x- 8Simplify using Synthetic Division
There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses. How many tulips were there?
Answer:
I think the answer is 12 (sorry if i misunderstood the question)
Step-by-step explanation:
Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12
The table shows values for functions f(x) and g(x) .
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
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:
(THIS IS 30 POINTS!!) In Ms. Hollbrook's class, 62% of the class enjoys watching anime. If there are 32 students in Ms. Hollbrooks class, about how many students enjoy watching anime?
A) 12 students
B) 14 students
C) 16 students
D) 20 students
Answer:
D)
Step-by-step explanation:
32*0.62=19.84≈20.
Please help! I'm writing a test and don't have much time. Step by step please! (20 point)
Answer:
-3+6x
x+3
Step-by-step explanation:
Answer:
23x^3+9x^2-5x+1/x^2
Step-by-step explanation:
I hope you don't mind me putting my explanation as a screenshot of this lol
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:
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
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
Someone help me on question 10 please!
Answer:
Step-by-step explanation:
500÷9=55.56miles/h (correct to 3 decimal places)
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.
In all, there are 52 blocks in the groups below. Each
group is the same size.
Which number sentence shows how to find the number
of blocks in each group?
52x4
B
52-4=
52+4=
D
52 -4 =
Answer:
D you divide
Step-by-step explanation:
The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that there are 52 blocks in the groups below. Each group is the same size.
Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.
That is;
52 / 4 = 13
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
find the value=
sin 30° + cos 60° + tan 0
Answer:
1/2+1/2 + 0
= 1
Step-by-step explanation:
sin30° = 1/2
cos 60° = 1/2
tan 0° = 0
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 :)
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.
need help on these math questions. please and thank u
9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
If 8 people can be seated at a dinner table, how many tables are required to seat 48 people?
Answer:
6 tables
Step-by-step explanation:
8 multiply by 6 gives you 48
Given that P=x+y. Find P when: x=−5 and y=−3
Answer:
P = - 8
Step-by-step explanation:
Given
P = x + y ← substitute x = - 5 and y = - 3
P = - 5 + (- 3) = - 5 - 3 = - 8
HELP PLZZZ EASY AREA MATH
Answer:
4,400
Step-by-step explanation:
Make y the subject of the formula
Answer:
[tex] y = \frac{w - x^2}{-2z} [/tex]
Step-by-step explanation:
Given:
w = x² - 2yz
Required:
Solve for y
Solution:
[tex] w = x^2 - 2yz [/tex]
Subtract x^2 from not sides
[tex] w - x^2 = - 2yz [/tex]
Divide not sides by -2z
[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]
[tex] \frac{w - x^2}{-2z} = y [/tex]
[tex] y = \frac{w - x^2}{-2z} [/tex]
A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experience in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met
Answer:
Yes the sample can be use to make inference
Step-by-step explanation:
The inference is possible if the conditions:
p*n > 10 and q*n > 10
where p and q are the proportion probability of success and q = 1 - p
n is sample size
Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6
And p*n = 0,4 * 30 = 12 12 > 10
And q*n = 0,6 * 30 = 18 18 > 10
Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met
To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.
No, the sample size is not less than 10% of the population size,
Given:
The total number of council member are 200.
The randomly selected members are 30 .
Calculate the ratio of randomly selected members and total number of council member.
[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]
Thus, No, the sample size is not less than 10% of the population size.
Learn more about z-interval here:
https://brainly.com/question/7204089
The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year
Answer:
The equation is given by:
[tex]n = \frac{7}{10} \times 45.50[/tex]
Step-by-step explanation:
During last years's charity walk, she raised $45.50.
During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:
[tex]n = \frac{7}{10} \times 45.50[/tex]
Answer: 45.50=0.7n
Step-by-step explanation:
PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.
