Answer:
(y-2)÷3=x
Step-by-step explanation:
y=3x+2
y-2=3x
(y-2)÷3=x
This answer could also be written as a fraction: y-2 over 3, equals x.
Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while
he was there. Which expression can he use to help him find the cost of the trip?
(x = number of days spent in Alaska) *
Answer:
Total cost of the trip = 243 + 72x
Step-by-step explanation:
Cost of airfare = $243
Amount spent per day = $72
Which expression can he use to help him find the cost of the trip?
Let
x = number of days spent in Alaska
Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)
= 243 + (72 * x)
= 243 + 72x
Total cost of the trip = 243 + 72x
If he spent 4 days on the trip
Total cost of the trip = 243 + 72x
= 243 + 72(4)
= 243 + 288
= $531
The list price of a furnace is $2,468.00. The manufacturer offers a discount of 15 percent. The net price is
$2,097.80.
$370.20.
$209.78.
$3,702.00.
Answer:2,097.80
Step-by-step explanation: If you multiply the 2,468.00 to 0.85% you will get the answer of 2,097.80.
Answer:
$2,097.80
Step-by-step explanation:
$2,468.00 - 15%
$2,468.00 * 0.15 = $370.20
$2,468.00 - $370.20 = $2,097.80
(Just another way to do it)
What is the answer to this?
Answer:
Area = 1514 m^2
Step-by-step explanation:
Total Area = area of rectangle + area of circle
= (60 m × 20 m) + πr^2
= (1200 m^2) + (3.14)(10 m)^2
= (1200 m^2) + (314 m^2)
= 1514 m^2
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
c sorry if im wrong
Step-by-step explanation:
soryy if im wrong please forgive me if i am
Answer:
D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.
At a large state university, the heights of male students who are interscholastic athletes is approximately Normally distributed with a mean of 74.3 inches and a standard deviation of 3.5 inches. The heights of male students who don’t play interscholastic sports (we’ll call them "non-interscholastics") is approximately Normally distributed with a mean of 70.3 inches and a standard deviation of 3.2 inches. You select an SRS of 10 interscholastic athletes and 12 non-interscholastics. What is the probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes
Answer:
0.0027 = 0.27% probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
At a large state university, the heights of male students who are interscholastic athletes is approximately Normally distributed with a mean of 74.3 inches and a standard deviation of 3.5 inches. Sample of 10:
This means that [tex]\mu_I = 74.3, s_I = \frac{3.5}{\sqrt{10}}[/tex]
Those who are "non-interscholastics" have mean of 70.3 inches and a standard deviation of 3.2 inches. Sample of 12.
This means that [tex]\mu_N = 70.3, s_N = \frac{3.2}{\sqrt{12}}[/tex]
What is the probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes?
This is the probability that:
N - I > 0
Distribution N - I:
[tex]\mu = \mu_N - \mu_I = 70.3 - 74.3 = -4[/tex]
[tex]s = \sqrt{s_I^2+s_N^2} = \sqrt{(\frac{3.5}{\sqrt{10}})^2+(\frac{3.2}{\sqrt{12}})^2} = 1.44[/tex]
Probability:
One subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 - (-4)}{1.44}[/tex]
[tex]Z = 2.78[/tex]
[tex]Z = 2.78[/tex] has a p-value of 0.9973
1 - 0.9973 = 0.0027
0.0027 = 0.27% probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes
The probability for the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes in state university is 0.0027.
What is normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
At a large state university, the heights of male students who are interscholastic athletes is approximately Normally distributed with a mean of 74.3 inches and a standard deviation of 3.5 inches. The heights of male students who don't play interscholastic sports is approximately Normally distributed with a mean of 70.3 inches and a standard deviation of 3.2 inches.For the above data, the value of mean would be
[tex]m=70.3-74.3\\m=-4[/tex]
The selected sample size are 10 interscholastic athletes and 12 non-interscholastics. The value of standard deviation is,
[tex]\sigma=\sqrt{(\dfrac{3.5}{\sqrt{10}})^2+(\dfrac{3.2}{\sqrt{10}})^2}\\\sigma=1.44[/tex]
The Z score can be find out using the following formula.
[tex]Z=\dfrac{X-\mu}{\sigma}\\Z=\dfrac{0-(-4)}{1.44}\\Z=2.78[/tex]
The z score of 2.78 has the p value equal to 0.9973. For sample mean of non-interscholastics to be greater, the probability,
[tex]P=1-0.9973\\P=0.0027[/tex]
Thus, the probability for the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes in state university is 0.0027.
Learn more about the normally distributed data here;
https://brainly.com/question/6587992
Ancilla and christabel are two wives of David, Ancilla is older than christabel .Given that Ancilla's age is (5x-4) years and christabel's age is (2x+1)years. write down the expression interns of x for how much older Ancilla is than christabel
Answer:
(5x - 4) = 2(2x + 1)
Step-by-step explanation:
Since Ancilla is twice as old as Christabel
Ancilla's age (5x - 4) is twice Christabel (2x + 1) so,
(5x - 4) = 2(2x + 1)
The train is travelling with the speed of 90km/hr. What is the distance covered in 2min?
We are given:
Speed of the train = 90 km/h
Converting the speed to km per minute:
[tex]90\frac{km}{h}* \frac{h}{60 min}[/tex] [since 1 hour = 60 minutes, h/60 minutes is equal to 1]
The 'h' in numerator and denominator will cancel out
90km / 60 min
1.5 km/min
Distance travelled in 2 minutes:
Distance = Speed * time
Distance = [tex]1.5\frac{km}{min}* 2 min[/tex]
Distance = 3 km
2000 restaurants will grow about 3% every year, what is the equation that represents it. Y = restaurants and t = years
Answer:
Y= PV*(1 + g)^t
Step-by-step explanation:
Giving the following information:
Number of Restaurants (PV)= 2,000
Growth rate (g)= 3%
To calculate the number of restaurants after t years, we need to use the following formula:
Y= PV*(1 + g)^t
For example, for 10 years:
Y= 2,000*(1.03^10)
Y= 2,688
PLEASE HELP ASAP!!!
Answer:
a
Step-by-step explanation:
a is the answer
please help!!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 9/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction
Answer:
[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]
Step-by-step explanation:
[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]
sunita has to ribbons of lengths 25 inches and 35 inches he want to cut the Ribbon into strips of equal length what is the longest possible length for the strips
Answer:
5 cm
Step-by-step explanation:
Solve for x.
I +27= -12
Enter your answer in the box
X
Answer:
you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.
Resolve into partial fractions
Answer:
See below
Step-by-step explanation:
1)
[tex] \frac{11 + x}{(2 - x)(x - 3)} = \frac{A}{2 - x} + \frac{B}{x - 3} \\ \\ \therefore \: \frac{11 + x}{(2 - x)(x - 3)} = \frac{A(x - 3) +B(2 - x) }{(2 - x)(x - 3)} \\ \\ \therefore \: 11 + x = Ax - 3A + 2B - Bx \\ \\ \therefore \: 11 + x = - 3A + 2B + Ax - Bx\\ \\ \therefore \: 11 + x = - 3A + 2B + (A - B)x \\ \\ equating \: the \: like \: terms \: on \: both \: sides \\ A - B = 1 \\ \therefore \: A = B + 1.....(1) \\ \\ - 3A + 2B = 11....(2) \\ from \: eq \: (1) \: and \: (2) \\ - 3(B + 1) + + 2B = 11 \\ \\ - 3B - 3 + 2B = 11 \\ \\ - B = 11 + 3 \\ \\ B = - 14 \\ A = - 14 + 1 = - 13 \\ \\ \frac{11 + x}{(2 - x)(x - 3)} = \frac{ - 13}{2 - x} + \frac{ - 14}{x - 3} \\ \\ \frac{11 + x}{(2 - x)(x - 3)} = - \frac{ 13}{2 - x} - \frac{ 14}{x - 3}[/tex]
2)
[tex] \frac{12x + 11}{x^2 +x - 6}[/tex]
[tex] =\frac{12x + 11}{x^2 +3x-2x - 6}[/tex]
[tex] =\frac{12x + 11}{x(x +3) -2(x +3)}[/tex]
[tex] \therefore \frac{12x + 11}{x^2 +x - 6}=\frac{12x + 11}{(x +3) (x - 2)}[/tex]
[tex] \therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A}{(x +3)}+\frac{B}{(x - 2)}[/tex]
[tex] \therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A(x-2)+B(x+3)}{(x-2)(x+3)}[/tex]
[tex] \therefore 12x + 11 = A(x-2)+B(x+3)[/tex]
[tex] \therefore 12x + 11 = Ax-2A+Bx+3B[/tex]
[tex] \therefore 12x + 11 = Ax+Bx-2A+3B[/tex]
[tex] \therefore 12x + 11 = (A+B) x-2A+3B[/tex]
Equating like terms on both sides:
[tex] A + B = 12\implies A = 12-B... (1)[/tex]
[tex] - 2A + 3B = 11... (2)[/tex]
Solving equations (1) & (2), we find:
A = 5, B = 7
[tex] \therefore \frac{12x + 11}{x^2 +x - 6}=\frac{5}{(x +3)}+\frac{7}{(x - 2)}[/tex]
Which ordered pair is the solution to
the system of linear equations below?
(Lesson 8)
2x + y = -4
3x + 2y = -10
(0,4)
(6,-14)
(-3,2)
(2,-8)
Answer:
The fourth one! (2,-8).
Which figures below are similar?
1 and 2
2 and 3
2 and 4
1 and 4
Answer:
can you take a picture of your problem
Answer:
show the picture of the figure
PLEASE HELP!! A fair coin is flipped 3 times. What is the probability of the coin landing on heads 3 times? Why is that?
Answer:
If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
Answer:
1/8 or 12.5%
Step-by-step explanation:
The odds of getting heads is 50% (1/2) each time.
So putting the odds to the power of three will provide the odds of getting heads 3 times.
1/2 * 1/2 * 1/2 = 1/8 or 12.5%
Two congruent squares are shown in Figures 1 and 2 below. I need answer quick!
Answer:
The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by 4c. The combined area of the two unshaded squares in Figure 2 can be 4a+4b. The areas of the squares in Figure 1 and Figure 2 show that 4a+4b=4c.
Step-by-step explanation:
iReady math diagnostic.
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. How far is the boat from the dock A. 15 mi B. 21 mi C. 3 mi D. 225 mi
Answer:
21 miles which is b
Step-by-step explanation:
no other answer makes sense besides that one.
The graph of which function is the same as the graph of y= shifted to the right 5 units and shifted
up 2 units?
Answer:
y = 1/x-5 + 2
Step-by-step explanation:
Adding 2 will shift the graph up 2 units
Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right
Help plz..And No links!! I repeat No links!!
Answer:
961.327 square inches
hundreth = 961.328
Step-by-step explanation:
if u want I can show you the steps
Answer:
V = approx 2035.75
HELP ME PLEASE
24d=12
What is d
-12c=12
What is c
Three of these turtles weight 1,050 pounds. How much does one Pinta Island Tortoise weight?
Answer:
350 pounds
Step-by-step explanation:
Assuming three of the turtles are Pinta Island Tortoise, then:
3 turtles -- 1050
1 turtle -- 1050/3 = 350
Thenks and mark me brainliest :))
Answer:
the answer is 350
Step-by-step explanation:
1050 divided by 3 equals 350!!! hope this helps
I need help with these I forgot how to solve them
Step-by-step explanation:
if x = 7 and y = 4
a) x + 2y
= 7 + 2 . 4
= 7 + 8
= 15
b) (2x - y)/5
= (2 . 7 - 4)/5
= (14 - 4)/5
= 10/5
= 2
#CMIIWAnswer:
The first equation is 15 and the second equation is 2.
Step-by-step explanation:
You have to use substitution. For the first equation it would be: 7 + 2(4),which is 7 + 8,which is 15. For the second equation it would be: 2(7) - 4 divided by 5,which is also 14 - 4 divided by 5,which is 10/5, which is 2.
PLEASE HELP! NO FILES!
Solve for x
x+7y=14
X=________
Answer:
x equals 14 - 7y
Step-by-step explanation:
x + 7y = 14
From this, take 7y to the other side. On shifting it to the other side of the equation, its sign changes to negative.
x = 14 - 7y
Then, we get x equals 14 - 7y.
I have one selected but I don't know if it's right? can someone tell me the right answer so I can understand what I did wrong?
The scatter plot shows the number of people visiting a walking track on 15 different days and the temperature on those days.
Temperature vs. Number of People
Visiting a Walking Track
40
35
30
25
20
15
10+
5+
0
40 45 50 55 60 65 70 75 80 85
Temperature (°F)
Select all the statements that correctly describe the data.
A. The data shows an outlier at 70 degrees.
B. The data shows a negative linear association.
C. The data shows a positive nonlinear association.
D. The data shows that, as the temperature at the track increases, more people visit.
E. The data shows that the temperature at the walking track depends on the number of people who visit.
Answer:
its just D or its D and E
Step-by-step explanation:
NEED HELP ASAP PLEASE WILL GIVE BRAINLYEST
Answer:
True
Step-by-step explanation:
One is the opposite of the other
Answer:
true
Step-by-step explanation:
there was 3 Elmos and 1 Ellie how much cuteness is there
Answer:
hi
there was 3 Elmos and 1 Ellie how much cuteness is there
alot
.
Depends on how cute each one is. then add your math.
-Elizabeth Rodrigo
-YT: Lizzy Playz (with an icon of a cte anime girl with round glasses)
-Dis Cord: Your.Local.Lizzy.Afton
Can someone help me with this please? Thanks :)
Answer:
I just did this question I got confused for a second maybe you have a classmate or someone on here lol! x = 6 measure EJF: 64 HOPE THAT HELPS!
is y = 2(5)^x + 1 linear, exponential, or quadratic?
Answer:
Exponential .
Step-by-step explanation:
If you have x with that symbol ^ then it is a exponet, which makes it a exponential.