Answer:
31.15
Step-by-step explanation:
A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.
· Lucy buys 3 apples and 6 mangos for a total of $9.15.
· Amir buys 8 apples and 4 mangos for 11.92.
What is the cost of a single apple?
Answer:
$0.97
Step-by-step explanation:
Let the cost of a single apple is x and that of single mango is y.
ATQ,
3x+6y=9.15 ....(1)
8x+4y=11.92 ...(2)
Multiply equation (1) by 8 and equation (2) by 3
24x+48y=73.2 ...(3)
24x+12y=35.76 ...(4)
Subtract equation (2) from (1) :
24x+12y-(24x+48y) = 35.76 - 73.2
12y-48y = -37.44
-36y = -37.44
y = $1.04
Put the value of y in equation (1)
3x+6y=9.15
3x+6(1.04) = 9.15
3x = 9.15-6(1.04)
3x = 2.91
x = $0.97
Hence, the cost of single apple is $0.97.
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
i need help with this please
Answer:
31/8
Step-by-step explanation:
The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the 90% confidence interval for the difference in population means is (closest to) ________. Group of answer choices
Answer:
The 90% confidence interval is [tex] -0.3433< \mu_1 - \mu_2 < 2.1433[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean for men is [tex]\= x_1 = 64.5 \ years[/tex]
The sample mean for women is [tex]\= x_2 = 63.6 \ years[/tex]
The sample size for men is [tex]n_1 = 35[/tex]
The sample size for women is [tex]n_2 = 39[/tex]
The standard deviation for men is [tex]s_1 = 3.0[/tex]
The standard deviation for women is [tex]s_2 = 3.5[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{3^2 }{35} + \frac{3.5^2}{39} }[/tex]
=> [tex]SE = 0.7558[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.645 * 0.7558[/tex]
=> [tex]E = 1.2433[/tex]
Generally 90% confidence interval is mathematically represented as
[tex](\= x_1 - \= x_2) -E < \mu_1 - \mu_2 < (\= x_1 - \= x_2) -E [/tex]
=> [tex](64.5 - 63.6) -1.2433< \mu_1 - \mu_2 <(64.5 - 63.6) +1.2433[/tex]
=> [tex] -0.3433< \mu_1 - \mu_2 < 2.1433[/tex]
please help me please
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can view both cars. One car can be viewed at an angle of depression of 370, and the other car can be viewed at an angle of depression of 420. How tall is the building?
Answer:
The building is 61.5 m tall
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:
[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]
[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]
From the last equation:
[tex]x=h.\tan 48^\circ[/tex]
Substituting into the first equation:
[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]
Operating on the right side:
[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]
Rearranging:
[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]
Solving for h:
[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]
Calculating:
h = 61.5 m
The building is 61.5 m tall
So do you have to have a least 2 people answering the question to five them the crowm?
Answer:
Well... only two people can answer a question. But you must have both two answers for a question to give brainliest to one or another. Got it? :)
Step-by-step explanation:
Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track? Explain or show your reasoning
Answer:
[tex]6.4[/tex] minutes
Step-by-step explanation:
Given information:
- Track is 400m long
- Mai runs at a constant speed of 250 meters/minute
- - - - - -
To find how many minutes it takes for Mai to complete 4 laps, we need to find the total distance Mai is running for:
[tex]400\times4=1600[/tex] meters
To find how many minutes Mai is running for, we divide by the distance Mai travels per minute:
[tex]1600\div250=6.4[/tex] minutes
∴ Mai takes [tex]6.4[/tex] minutes to run 4 laps around the track.
Hope this helps :)
the distance between two cities on a map is 3.5 centimeters the map uses a scale in which 1 centimeter represents 20 km what is the actual distance between these
two cities in kilometers
Answer:
1 cm = 20 km
so 3.5 cm would equal : 3.5 * 20 = 70 km
hope it helps ;)
Step-by-step explanation:
The administrators at the University of Oklahoma wonder if Oklahoma residents or non-Oklahoma residents differ in their excitement to go home for the holidays following final exams. They randomly select 100 Oklahoma residents and 100 non-Oklahoma residents for their study. They then ask all participants to rate their excitement level on a scale of 1-10. The mean excitement level for Oklahoma residents was 7.745, while the mean excitement level for non-Oklahoma residents was 7. They create the following 95% confidence interval for the mean difference: -1.78 to 3.27. Which of the following is the best way to interpret their results based on their confidence interval?
a. The administrators are 95% confident that Oklahoma residents are significantly more excited than non-Oklahoma residents to go home for the holidays.
b. The administrators are 95% confident that Oklahoma residents are significantly less excited than non-Oklahoma residents to go home for the holidays.
c. The administrators are 95% confident that Oklahoma residents significantly differ from non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
Answer:
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
Step-by-step explanation:
The confidence interval refers to a rabje of statistically calculated values used in establishing a certain level of confidence in the outcome of a data.
The confidence interval is calculated thus :
Mean ± (Zcritical * Error)
The ± sign ensures we have the lower and upper boundary of our confidence level.
From the confidence level given in the question : -1.78 to 3.27
Since 0 is contained in the confidence interval range given, then it can be concluded that the difference in excitement between Oklahoma and non oklahoma residents cannot be adequately established.
I need help with this question
Answer:
oehfinefnefikvds
Step-by-step explanation:
okokokoko
Can someone please help me with this I think I got it wrong ill give brainliest
Answer:
Yes, you are correct because the curve rests on 3 on the x-axis
is anyone knows the answer tell me please thank you .
Answer:
there is no question attached
Step-by-step explanation:
Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.
Answer:
because x^n+1 =
the number which is n and n is an odd number and my odd number is 3 so
x^3+1= 4
= x^4
help please I'm in a timed test
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x re the larger number and y represent the smaller number. Which equations represent this situation?
y=-X y=āx-5
y = x 3 v=zx-5
y= 3x+ 3 2 Y = 3x+
Answer:
it's A
Step-by-step explanation:
y=-x
y=3/2x-5 hope this helps you
Plz Help! Will give Brainliest!!!
Kennan graphed the location of several places in his town on the coordinate plane shown below. Determine if each statement about Kennan's graph is true or false. True False The library is 555 units from the yyy-axis. The school is located at (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis.
Answer:
Concept: Graph Analysis
The library is 5 units to the left from the y-axis hence the statement is TrueThe School is not located at (0,6) it is located at (6,0) hence the statement is FalseWrite a fraction that is less than 1/3 using 1 as the numerator. EXPLAIN why you chose that answer.
A fraction which is less than 1/3 is 1/6
How to find quantities which are less than a given quantity?We can lessen a quantity if we take out some positive part from it.
Thus, suppose if it is given that there are 'T' things, then a quantity which is less than 'T' would be 'T - S'
where S is something positive.
(there can be infinite number of values less than a specific finite value, and similarly, there can be infinite number of values more than a specific finite value).
For the given case, the fraction given is 1/3
Let a fraction which is less than it be denoted by F
Then,
[tex]F < 1/3\\F = \dfrac{1}{3} - S[/tex]
Let S = 1/6
Then, we get value of F as:
[tex]F = \dfrac{1}{3}- \dfrac{1}{6} = \dfrac{2 - 1}{6} = \dfrac{1}{6}\\[/tex]
Thus, 1/6 is a fraction which is less than the given fraction 1/3
Learn more about fractions here:
https://brainly.com/question/12106245
fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city
Answer:
good song
Step-by-step explanation:
yes
Answer:
fireflies by owl city
Step-by-step explanation:
fireflies by owl city
Determine if the graph of the quadratic equation opens up or down and is wider or narrower than the graph y=x?
y = -x? +2
Answer:
y = -x^2 +2
Step-by-step explanation:
? means like add something in. Like ^2 is what I added in.
https://brainly.com/question/20359398. This is what I learned after this chapter. (Concept.) You can learn about it and get ahead if they'll learn this.
p: Las Vegas is the capital of Nevada.
q: There are 10 inches in a foot.
Use: pvq
Answer:
P= Carson City
Q= 12 inches long
Question 1
Mathematical Relationships
Part A
In general, what can you say about the relationship between health (life
expectancy at birth) and wealth? Mention possible reasons for this
relationship
someone with wealth without health is nobody
Step-by-step explanation:
when someone that is wealthy didn't give birth d Husband would say they should adopt a child or he should marry another wife
The temperature went from 90° to 60°. What is the percent decrease? Round to the nearest percent.
1)30%
2)33%
3) 60%
4)66%
If a watch costs $ 40 and you must pay 6.5 % sales tax
Step-by-step explanation:
you will end up paying $66 dollars
What are not a benchmark fraction
Answer:
0/4, 0/6 those are examples of non benchmark fractions. 1/2 is a benchmark fraction.
Step-by-step explanation:
The required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
here,
Benchmark fractions, this is the fraction values that are used frequently in any mathematical and analytical operations such values are, 1/2, 1/4, 3/4, and so on.
And none benchmark fraction values are 1/8.5, 1/7, and similar fractions. and their uses are none essential and none frequent.
Thus, the required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
Help me please .....
Answer:
the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Step-by-step explanation:
We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations
1) reflection in the x-axis
The reflection across x-axis will be:
[tex]g(x)=-\sqrt{x}[/tex]
2) Horizontal shrink by a factor of 1/3
The horizontal shrink by a factor of 1/3 will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]
3) Vertical translation up 2 units
The vertical translation up 2 units will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]
So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Which set of ordered pairs represents a function? O{(-6,1), (7,2), (6,5), (-6,-1)} O {(8,7),(-8,-4),(4,8), (-8,1)} O {(-2,7), (-2,0), (0, -6), (-4,0)} o {(-2,-4), (-7,1), (8,3), (3,3)}
4(x - 1) + 5x = 6x - 16
Please help me solve the equation
Answer:
x=−4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−1)+5x=6x−16
(4)(x)+(4)(−1)+5x=6x+−16(Distribute)
4x+−4+5x=6x+−16
(4x+5x)+(−4)=6x−16(Combine Like Terms)
9x+−4=6x−16
9x−4=6x−16
Step 2: Subtract 6x from both sides.
9x−4−6x=6x−16−6x
3x−4=−16
Step 3: Add 4 to both sides.
3x−4+4=−16+4
3x=−12
Step 4: Divide both sides by 3.
3x/3=-12/3
x=-4
Answer:
4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4
Step-by-step explanation:
In how many different ways can you arrange 6 flower vases on a table?
Answer:
720
Step-by-step explanation:
To solve a problem like this, you do: !6
This basically means 6*5*4*3*2*1
6*5 = 30
30*4=120
120*3=360
360*2=720
720*1=720
Branson purchased a wooden board 9/10 yard long to split into smaller pieces for a project. If he cuts them into smaller pieces that are each 1/12 yard long. How many boards will we have?
Answer:YASSA POINTS
Step-by-step explanation:
The direct answers not examples
Answer:
to what?
Step-by-step explanation: