Answer:
x = 2
Step-by-step explanation:
[tex]2x=-x+6[/tex]
[tex]2x+x=6[/tex]
[tex]3x=6[/tex]
[tex]\frac{3x}{3} =\frac{6}{3}[/tex]
[tex]x=2[/tex]
Rahul deposited Rs. 12,000 in a bank for 2 years. If it is compoundedannuallyat 9% p.a., what amount will he receive on maturity? (at the end of two years).
Answer:
Rs 14257.2
Step-by-step explanation:
From the formula;
A= P(1 + i)^n
A= amount
P= principal
i= rate
n= time
A= 12000(1 + 0.09)^2
A=12000(1.09)^2
A=Rs 14257.2
A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes.
Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total
Answer:
Step-by-step explanation:
Given that:
There are 600 residents in the survey.
And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.
The objective is to construct a two by two table from the given data:
Diabetes
Yes No Total
Smoking
Yes 157 230 - 157
= 73 230
No 50 370 - 50 600 - 230
= 320 = 370
Total 157 + 50 320+ 73
= 207 = 393 600
A total of 443 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer
386
Step-by-step explanation:
Do the math 443-57
Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?
(1 pound = 16 ounces)
Answer: The answer would be 96 ounces
Step-by-step explanation: You simply multiply 6 by 16 because that's how you convert pounds to ounces.
Answer:It would be 96 ounces because you would fo 16 × 6 = 96
A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Answer:
11 ibs
Step-by-step explanation:
solve the inequality and graph its solutions on a number line. 5x+3<3(x+2)
Answer:
B
Step-by-step explanation:
What is the sum of 16.5 x 10 exponent 4
9=2m+2-3
please tell me what dis is
Answer:
m=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Step 1:
9 = 2m + 2 - 3 Equation
Step 2:
9 = 2m - 1 Combine Like Terms
Step 3:
10 = 2m Add 1 on both sides
Step 4:
m = 10 ÷ 2 Divide
Answer:
m = 5
Hope This Helps :)
how many numbers are between k and n
Answer:
n-k-1
Step-by-step explanation:
n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that
got it?
=)
oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.
If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.
what is the probability of 26/100 19/100 and 55/100
Answer:
1/3
Step-by-step explanation:
Hope this helps
Answer:
1/3
Step-by-step explanation:
E
Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage
Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows
Estimated Fixed Cost
Estimated Variable Cost (per unit sold)
Production Costs:
Direct Materials
$48
Direct Labor
$38
Factory Overhead
$150,000
$25
Selling Expenses:
Sales salaries and commissions
$125,000
$10
Advertising
$50,000
Travel
$15,000
Miscellaneous selling expense
$10,000
$2
Administrative Expenses:
Office and officers' salaries
$140,000
Supplies
$10,000
$5
Miscellaneous administrative expense
$10,000
$2
Total
$510,000
$130
It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.
Answer:
Giving the following information:
Units sold= 450,000
Total Sales= $12,150,000
Total variable cost= $6,925,500
Total fixed cost= $3,242,673
First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.
Selling price= 12,150,000/450,000= $27
Unitary variable cost= 6,925,500/450,000= $15.39
Contribution margin per unit= 27 - 15.39= $11.61
To calculate the contribution margin ratio, we need to use the following formula:
Contribution margin ratio= contribution margin/ selling price
Contribution margin ratio= 11.61/27
Contribution margin ratio= 0.43
To calculate the break-even point both in units and dollars, we need to use the following formulas:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 3,242,673 / 11.61= 279,300 units
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 3,242,673/0.43= $7,541,100
Finally, we need to incorporate the desired profit to the break-even point formula:
Break-even point in units= (3,242,673 + 426,087) / 11.61
Break-even point in units= 316,000 units
Step-by-step explanation:
Which statement about this equation is true?
3+x= 2–3x
The equation has no solution.
The equation has one solution.
The equation has infinitely many solutions.
help me please thank you
3. At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed
along 35 feet of road? *
Answer:
14 cones
Step-by-step explanation:
20/50=0.4
0.4 times 35=14
Help please! I need to know the domain and range of this graph
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]domain = ( - \infty \: , \: \infty ) [/tex]
[tex]range = ( - \infty \: , \: \infty ) - (0)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
Domain: (-oo, 3) U (3, +oo)
Range: (-oo, 0) U (0,oo)
Step-by-step explanation:
When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distribution), he recorded the ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the license plates. (There is no end to the fun of traveling with the author.) The ages (in years) are listed below. We might expect that taxis would be newer, so test the claim that the mean age of cars is greater than the mean age of taxis. Use α= 0.05 significance level to test the claim that in Dublin, car ages and taxi ages have the same variation.
Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8
Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4
Answer:
The Decision Rule
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi
Step-by-step explanation:
From the question we are told that
The data is
Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8
Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4
The level of significance [tex]\alpha = 0.05[/tex]
Generally the null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
the alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 > 0[/tex]
Generally the sample mean for the age of cars is mathematically represented as
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8 }{27}[/tex]
=> [tex]\= x_1 = 5.56[/tex]
Generally the standard deviation of age of cars
[tex]\sigma _1 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }[/tex]
=> [tex]\sigma _1 = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }[/tex]
=> [tex]\sigma _1 = 3.88 [/tex]
Generally the sample mean for the age of taxi is mathematically represented as
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_2 = \frac{8 +8 +0 + \cdots + 4 }{20}[/tex]
=> [tex]\= x_2 = 5.85 [/tex]
Generally the standard deviation of age of taxi
[tex]\sigma _2 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }[/tex]
=> [tex]\sigma _2 = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }[/tex]
=> [tex]\sigma _2 = 2.83 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1} + \frac{\sigma^2_2}{n_2} } }[/tex]
=> [tex]t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27} + \frac{(2.83)}{20} }}[/tex]
=> [tex]t = -0.30 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
[tex]df = 27 + 20 -2[/tex]
[tex]df = 45[/tex]
From the t distribution table the [tex]P(t > t )[/tex] at the obtained degree of freedom = 45 is
[tex]P(t > -0.30 ) = 0.61722067[/tex]
So the p-value is
[tex]p-value = P(t > T) = 0.61722067[/tex]
From the obtained values we see that the p-value > [tex]\alpha [/tex] hence we fail to reject the null hypothesis
Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi
A submarine started at a depth of 150 below sea level and descended 355 feet what is the new depth of the submarine?
A. 370 ft
B. 205 ft
C. 0 ft
D. 505 ft
Plz answer ASAP got test
Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days. (A) Identify two points on the line and write the coordinate pairs below. (B) Use your two points to find the slope, and make sure to show your work. (C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form. (D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day? 2 SEE A
Answer:
See below
Step-by-step explanation:
Note: missing graph is attached
SolutionA) The two points are:
(4, 19) and (7, 7)B) Slope formula: m = (y2-y1)/(x2-x1)
m = (7 - 19)/(7-4)m = -12/3m = -4C) Point-slope formula:
y - y1 = m(x - x1)Using one of the points we get:
y - 19 = -4(x - 4)D) Delivery time on Day 0:
y - 19 = -4(0 - 4)y - 19 = 16y = 16 + 19y = 35 minutesDelivery time decreases by the value of the slope which is 4 minutes per day
Wilbur has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. He will randomly select 2 coins from the bag, one at a time, without replacement. What is the probability that Wilbur will select a dime first and then a penny? A) 0.1 B) 0.04167 C) 0.03906 D 0.04444
How does the graph of y = sec(x - 2) + 2
compare to the graph of y = sec(x)?
0 It is shifted 2 units down and 2 units left.
It is shifted 2 units down and 2 units right.
O It is shifted 2 units up and 2 units left.
It is shifted 2 units up and 2 units right.
Answer:
D
or
It is shifted 2 units up and 2 units right.
Step-by-step explanation:
The graph of y = sec(x) is shifted 2 units up and 2 units right.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given graph is y = sec(x)
After transformation it is y = sec(x - 2) + 2
We need to find the transformation applied to y=secx to get y = sec(x - 2) + 2.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
y=f(x-a) is the same graph shifted 'a' units to the right. If 'a' is negative, then, the graph is shifted to the left.
y = f(x) - a is the same graph, but shifted 'a' units downwards. If 'a' is negative, then the graph will be shifted upwards.
In this case, our main function is y=sec(x). And the function y= sec(x-2)+2 is shifted two units to the right and 2 units upwards.
Hence, the graph of y = sec(x) is shifted 2 units up and 2 units right.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ5
The state of California collected $103.0 billion in personal tax for 2019. The population
in California is about 39.50 million people. Round all scientific answers with two decimals
with no spaces.
Write the personal tax in scientific notation. 1 point Debt:
Write the population in scientific notation. 1 point Population:
Calculate the Personal Tax Per Capita and write your answer in standard notation. Round
to a whole number. 2 points
Use the personal tax per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
a. The personal tax collected for 2019 is $103.0 billion.
The tax in scientific notation = $1.03 x [tex]10^{11}[/tex]
b. The population in California is 39.50 million people.
The population in scientific notation = 3.95 x [tex]10^{7}[/tex]
c. Assuming that the whole population of people in Califonia are working i.e employed, the the Personal Tax Per Capita can be determined by;
Personal Tax Per Capita = [tex]\frac{income tax revenue}{taxable population}[/tex]
= [tex]\frac{103000000000}{39500000}[/tex]
= 2607.595
= 2.61 x [tex]10^{3}[/tex]
= 3.00 x [tex]10^{3}[/tex]
d. Therefore provided that the whole population of people in California for 2019 are employed, then each person pays an average of $2607.595 per annum in the year 2019.
Help me please! If you can explain it will help me a lot, if not then it’s okay.
Answer:
I cant help bc it doesnt show :((( sorrrrry
Step-by-step explanation:
4y + 19 = x
3y - x= -13

Answer:
Do you need a step by step explaination on hiw to get the answer x= -13?
an equivalent ratio to the tape diagram shown is to
Answer:
it is 16 to 32
Step-by-step explanation:
if you divided 16 by 8 and 32 by eighth you get 2:4
HELP ASAP!!WILL GIVE GOOD RATINGS
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
Slove the equation for x, and enter your answer below.
7x - 12x - 5 = -45 + 15
How do I solve this please provide an explanation
Answer:
x = 5 (check steps below)
Step-by-step explanation:
first off lets combine like terms to make it simple so subtract 7x and 12x which comes out to be -5x and add -45 and 15 on the other side which equals -30 so we end up with
-5x -5 = -30
Now we add 5 onto the other side
-5x = -25
finally we divide by -5 on each side to have x by itself
x = 5
(the negatives cancel each other)
Let S={1,4,8,16,32,64} be a sample space. If P(1)=132 and P(2k)=21−k for 2≤k≤6, find the expected value of the event E={1,8,32,64}. Give your answer as a fraction in its simplest form. Provide your answer below:
Answer:
Step-by-step explanation:
193/32
Find the savings plan balance after 2 years with an APR of 8% and monthly payments of $150
Answer:30 dollar savings
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!