Answer:
Step-by-step explanation:
To write the value of three hundred and eighty two thousandths in words, we can follow the steps below:
Split the expression based on the place values
The statement is expressed as:
[tex]\frac{382}{1000}[/tex] = 0.382
three hundred thousandth = 0.300 (thousandth)
eighty thousandth= 0.080
two thousandth = 0.002
Add the values gotten
= 0.300 + 0.080 + 0.002
= (3*10⁻¹) + (8*10⁻²) + (2*10⁻³)
= 0.382
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.
Step-by-step explanation:
Key points:
Discount is subtracted from the regular price of an item.Sales tax is added to the regular price of an item.It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90x ; the price of an item after the 10% member discount
g (x) = 1.07x ; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × x
= 0.963x.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444.0 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 443.0 grams. A level of significance of 0.02 will be used.
Required:
State the hypotheses. Assume the standard deviation is known to be 23.0.
Answer:
Null hypothesis:
[tex]\mathbf{H_o: \mu = 444}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_1: \mu < 444}[/tex]
Step-by-step explanation:
From the given information:
the population mean = 444
the sample mean = 443
number of samples = 40
standard deviation = 23
The null hypotheses and he alternative hypotheses can be computed as:
Null hypothesis:
[tex]\mathbf{H_o: \mu = 444}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_1: \mu < 444}[/tex]
Thus, this is left-tailed since the alternative hypothesis is less than the population mean
The test statistics can be computed as follows:
[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{443 - 444 }{\dfrac{23}{\sqrt{40}}}[/tex]
Z = - 0.275
At the level of significance of 0.02;
the critical value of [tex]Z_{\alpha/2} = Z_{0.02/2}=-2.05[/tex]
Decision rule: To reject the null hypothesis if the value of the Z score is lesser than the critical value.
Conclusion:
We fail to reject the null hypothesis and we conclude that sufficient evidence to support the claim that the machine bags were underfilled.
Write the equation of the line that is perpendicular to x=7 and passes through point (-3, 5).
If ukuk
Answer: y=5
Step-by-step explanation: I just plotted the given point and graphed the line, then drew a perpendicular line that passed through the point.
at a Halloween fair, you see a huge Ferris wheel. There are ten seats on the wheel, with two people placed on each seat. Every minute, a seat passes by the exit platform. The Ferris wheel opened for 30 minutes at 11 a.m. and doubled its speed after fifteen minutes. How many people rode the wheel during this time?
This is just a fun question I need answered!
90 people
We are told that;
Total number of seats = 10
Number of people in each seat = 2 Total duration of the Ferris wheel = 30 minutes
For the fist 15 minutes of normal speed, since 2 people were placed on each seat, it means that;Number of people to ride for the first 15 minutes = 15 × 2 = 30 people
Now, the speed has been doubled for the remaining 15 minutes.This means that 2 seats will pass per minute and thus;
Number of people to ride for 15 minutes at this double speed = 15 × 2(2) = 60
2(2) was used because a seat can take 2 people.
Thus, total number to ride the wheel overall = 30 + 60 = 90 peopleRead more at; brainly.in/question/1728461
I need help with mixed numbers when subtracting plz
Answer:
turn it into an improper fraction then subtract
Step-by-step explanation:
5×6=30
30+1=31
31/6
3×6=18
18+5=21
21/6
31/6 - 21/6 = 10/6
simplify: 5/3 ♡
I'm not sure tho lol
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
PLEASE HELP I AM STUCK
12,049=-58,642+y
Answer:
70,691
Step-by-step explanation:
The probability of getting a white marble from the bag is 1/6. If there are eight white marbles in the bag, what is the total number of marbles in the bag?
A. 36
B. 24
C. 48
D. 14
Answer:
C: 48
Step-by-step explanation:
1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48
Answer:
48 marbles, it's C
Step-by-step explanation:
why?
Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.
So you just get 1/6 to 6/6
so you do, 8*6 which equals to 48
In ΔCDE, \text{m}\angle C = (x-4)^{\circ}m∠C=(x−4) ∘ , \text{m}\angle D = (11x-11)^{\circ}m∠D=(11x−11) ∘ , and \text{m}\angle E = (x+13)^{\circ}m∠E=(x+13) ∘ . Find \text{m}\angle C.m∠C.
Answer:
The measure of C is 10°
Step-by-step explanation:
In a triangle CDE, its internal angles are given:
C=x-4
D=11x-11
E=x+13
Since the sum of the internal angles of a triangle is 180°:
x-4+11x-11+x+13=180
Simplifying:
13x-2=180
Adding 2:
13x=182
Solving:
x=182/13
x=14°
The measure of the angles is:
C=x-4 =10°
D=11x-11=143°
E=x+13=27°
The measure of C is 10°
Express $15 for 6 gallons of gas as a unit rate.
Answer: 0.4 gallons per dollar
Is the equation 6x-15y=-12 in standard form? Why or why not
Answer:
2x-5y=-4
Step-by-step explanation:
No, the GCF is 3 not 1
Taminka received a raise in her hourly pay, from $13.50 to $14.99. Find the percent change. Round to the nearest percent.
Answer:
[tex]\% = 11\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = \$13.50[/tex]
[tex]Final = \$14.99[/tex]
Required
Determine the percentage change
This is calculated as:
[tex]\% = |\frac{Initial - Final}{Initial} * 100\%[/tex]
[tex]\% = |\frac{13.50 - 14.99}{13.50}| * 100\%[/tex]
[tex]\% = |\frac{-1.49}{13.50}| * 100\%[/tex]
[tex]\% = \frac{1.49}{13.50} * 100\%[/tex]
[tex]\% = \frac{1.49* 100\%}{13.50}[/tex]
[tex]\% = \frac{149\%}{13.50}[/tex]
[tex]\% = 11.037037037\%[/tex]
[tex]\% = 11\%[/tex]
List and give the meaning of the y-intercept in this problem
Answer:
The y-intercept is 360 and it means that the hiking elevation will be 360 feet after 18 minutes
I need help asap with my math
Answer:
The first and the third one are correct.
Step-by-step explanation:
Answer: 1 & 3 are proportional relationships
A single 6-sided die is rolled twice. Find the probability of getting a 3 the first time and a 3 the second time. Express the probability as a simplified fraction.
Answer:
1/36
Step-by-step explanation:
The event is mutually exclusive event. The occurrence of one foew not affect the other.
If a die is rolled once, the total outcome will be 6 since a die has 6 faces.
Probability = expected outcome/total outcome
If 3 is gotten when a die is rolled, the expected outcome will be 1.
Probability of getting a 3 will be 1/6
The probability of getting a3 the second time is also 1/6
The probability of getting a 3 the first time and a 3 the second time = 1/6×1/6 = 1/36
Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm
Answer:
the answer is C. 78
Step-by-step explanation:
First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.
Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% houses.
Answer:
100
Step-by-step explanation:
Answer:
Place houses on
48
of the 100 squares to
represent
48/100
or 48% houses.
16 less than a number r divided by 8
Answer:r/8>16
Step-by-step explanation:
r/8-16
It says 16 less, so we have to subtract 16 from r divided by 8.
That would be r/8-16.
Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the substantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g
Answer:
173 days
Step-by-step explanation:
The formula for substantial presence test is;
SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)
From the question, present tax year is 2019 and number of days is 96 days.
Year before tax year is 2018 and number of days is 198 days
2 years before tax year is 2017 and number of days is 66 days.
Thus;
SBT = 96 + ((1/3)198) + ((1/6)66)
SBT = 173 days
plss helpp !! *worth 25 points*
Answer:
Purple Circle : 28.27
Yellow Circle : 43.98
Step-by-step explanation:
Radius of Purple Circle : 4.5
2 * π * 4.5 = 28.27
Radius of Yellow Circle : 7
2 * π * 7 = 43.98
Hannah wants to buy a $460 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $65 that she owes him. For how many weeks will Hannah need to save before she can pay back her and buy the camera?
Answer:
460+65=525/35=15 15 weeks
Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Answer:when he was doing the multipleis of 8 he put 20 when there is no 20
Step-by-step explanation:
What is the following fraction in simplest form 4/16
Answer:
1/4
Step-by-step explanation:
it is 1/4 because 4 dived by 16 is 4 so it is 1/4
For a certain product we obtained a regression line equation Y = 10 - 0.8 X, where X is price (in $) and Y is sales (in $1,000). The slope of the line (- 0.8) represents:___---.
A. If the price were $10, expected sales would be $8,000.B. If the price were zero, expected sales would $800.C. If the price increases by $1, sales will decrease by $800, on average.D. Sales are maximized when the price is $0.8.
E. None of the other answers are correct.
Answer:
C. If the price increases by $1, sales will decrease by $800, on average
Step-by-step explanation:
Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.
The radius of a semicircle is 2 yards what is the semicircle’s perimeter
MATCH THE CORRECT ONE PLEASE HELP
Answer:
same side interior for 2 and 6 i think
Why do we study?give me reason
Answer:
Simple to help us improve our lives
Answer:
To do good in school
Step-by-step explanation:
the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.
Which rational number equals 0 point 4 with bar over 4?
==============================================
Work Shown:
[tex]x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\[/tex]
The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9
What is the next three terms for 7, 21, 63
Answer:
189, 567, 1701
Step-by-step explanation:
multiply each term by 3.
One month, two search engines were used to conduct a total of 3.52 billion online searches. Search engine A was used to conduct 0.66 billion more searches than search engine B. How many searches were conducted on each search engine?
FAST PLS
Answer:
Search Engine A = 2.09 billion searches.
Search Engine B = 1.43 billion searches.
Step-by-step explanation:
Engine A + Engine B = 3.52 billion
Search engine A was used to conduct 0.66 billion more searches than search engine B
A = 0.66 billon + B
Hence:
0.66 billion + B + B = 3.52 billion
2B = 3.52 billion - 0.66 billion
2B = 2.86 billion
B = 2.86 billion/2
B = 1.43 billion searches.
A = 0.66 billion + B
A = 0.66 billion + 1.43 billion
A = 2.09 billion searches.
Therefore:
Search Engine A = 2.09 billion searches.
Search Engine B = 1.43 billion
