Answer: 37 and 22
Step-by-step explanation:
x + y = 59
x = 15 + y (substitute x as 15 + y into the first equation)
15 + y + y = 59
2y + 15 = 59
2y = 44
y = 22
substitute y as 22 into one of the equations
x = 15 + 22
x = 37
In a random sample of 70 undergraduate students from a large university, it was found that 37 had used library books. Find the sample proportion
Answer:
The sample proportion of undergraduate students that used library books is 0.5286.
Step-by-step explanation:
The sample proportion is the number of desired outcomes divided by the size of the sample.
In this question:
Sample of 70 undergraduate students, 37 had used library books.
[tex]p = \frac{37}{70} = 0.5286[/tex]
The sample proportion of undergraduate students that used library books is 0.5286.
THIS IS SO BAD RN SMH HELP ME WITH ANOTHER MATH SOLVING
4 x 3 x 4 x 9 + 3 - 20
Answer:
=415
Step-by-step explanation:
The girl in that picture is so pretty oml so if its you then you pretty a.ff
there are 60 sixth graders at wilson middle school. only 50% of the sixth graders will attend the morning assembly. how many sixth graders will be at the morning assembly?
Answer:
30 sixth graders
Step-by-step explanation:
50% = 0.50
multiply 60 by the decimal fraction of the percentage:
60 x 0.50 = 30
you can also just take 60 and divide by 2 since 50% means half
Which equation has a slope: 3/2, y-intercept: –4
Answer:
The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:
y=3/2x-4.
Step-by-step explanation:
You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4. First of all, remember what the equation of a line is:
y = mx+b Where: m is the slope, and b is the y-intercept
All you really have to do here is replace m with 3/2, which is the slope you gave, and replace b with -4, the y-intercept you gave, in the equation y=mx+b.
Brainlest and points need help math
Without performing the calculations, which expression equals the greatest value?
A)
2x (3-5)
B)
3x (
3-5)
)
5x (3-5)
D)
7x (3-5)
How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles
Answer:
520 miles
Step-by-step explanation:
65 mph * 8 hours = 520 miles
I hope this helps :)
The owner of a local nightclub has recently surveyed a random sample of 300 customers of the club. She would now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 35.5 years and population standard deviation was 5 years. What is the p-value associated with the test statistic
Answer:
0.0416
Step-by-step explanation:
Given :
Sample size, n = 300
Sample mean, x = 35.5
Population mean, m = 35
Standard deviation, s = 5
The test statistic :
Zstatistic = (x - m) / s/sqrt(n)
Zstatistic = (35.5 - 35) / 5/sqrt(300)
Zstatistic = 0.5 / 0.2886751
Zstatistic = 1.732
Using the p value calculator from Zstatistic :
One tailed P value at 95% confidence interval is : 0.0416
3.14 x 6.25 step by step
Answer:
Step-by-step explanation:
3.14x6.25
19.625
Answer:
19.625
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
the answer is no. the solution is (1.333, 7.333)
Answer: No, it is not a solution
Step-by-step explanation:
Substitute the value of x as 1 and y as 6
y = x + 6
6 = 1 + 6
6 = 7 (no)
-----------------------------------------
y = 4x + 2
6 = 4(1) + 2
6 = 4 + 2
6 = 6 (Yes)
-----------------------------------------
Even though the solution works in the second equation, it does not work in the first
Therefore (1,6) is not a solution to the system of equations
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the
function with its graph
Answer:
45) The function corresponds to graph A
46) The function corresponds to graph C
47) The function corresponds to graph B
48) The function corresponds to graph D
Step-by-step explanation:
We know that the function f(x) is:
[tex]f(x)=(x-2)^{2}+1[/tex]
45)
The function g(x) is given by:
[tex]g(x)=f(x-1)[/tex]
using f(x) we can find f(x-1)
[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]
If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.
[tex]g(x)'=2(x-3)[/tex]
[tex]2(x-3)=0[/tex]
[tex]x=3[/tex]
Puting it on g(x) we will get y value.
[tex]y=g(3)=(3-3)^{2}+1[/tex]
[tex]y=g(3)=1[/tex]
Then, the minimum point of this function is (3,1) and it corresponds to (A)
46)
Let's use the same method here.
[tex]g(x)=f(x+2)[/tex]
[tex]g(x)=((x+2)-2)^{2}+1[/tex]
[tex]g(x)=(x)^{2}+1[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2x[/tex]
[tex]0=2x[/tex]
[tex]x=0[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(0)=(x)^{2}+1[/tex]
[tex]g(0)=1[/tex]
Then, the minimum point of this function is (0,1) and it corresponds to (C)
47)
Let's use the same method here.
[tex]g(x)=f(x)+2[/tex]
[tex]g(x)=(x-2)^{2}+1+2[/tex]
[tex]g(x)=(x-2)^{2}+3[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2(x-2)[/tex]
[tex]0=2(x-2)[/tex]
[tex]x=2[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(2)=(2-2)^{2}+3[/tex]
[tex]g(2)=3[/tex]
Then, the minimum point of this function is (2,3) and it corresponds to (B)
48)
Let's use the same method here.
[tex]g(x)=f(x)-3[/tex]
[tex]g(x)=(x-2)^{2}+1-3[/tex]
[tex]g(x)=(x-2)^{2}-2[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2(x-2)[/tex]
[tex]0=2(x-2)[/tex]
[tex]x=2[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(2)=(2-2)^{2}-2[/tex]
[tex]g(2)=-2[/tex]
Then, the minimum point of this function is (2,-2) and it corresponds to (D)
I hope it helps you!
The 3rd term of an arithinetic progression is-9
and the 7th term is -29. Find the 10th term of the
progression.
Answer:
-64
Step-by-step explanation:
The computation of the 10th term of the progression is shown below:
The 3rd term is -9
A_n = a + (n - 1)d
-9 = a + (3 - 1)d
-9 = a + 2d
-9 - 2d = a
Now the 7th term is -29
A_n = a + (n - 1)d
-29 = a + (7 - 1)d
-29 = a + 6d
Put the a value to the above equation
-29 = -9 - 2d + 6d
-29 + 9 = 4d
-20 = 4d
d = -5
Now
-9 - 2d = a
-9 - 2(-5) = a
-9 - 10 = a
a = -19
Now finally the 10th term of the progression is
= a + (n - 1)d
= -19 + (10- 1)-5
= -19 -45
= -64
A parachutist's rate during a free fall reaches 90 miles per hour. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that 1 mile is equal to 5 feet. Do not round your answers
Answer:
The parachutist's rate of fall is 132 feet per second. In turn, in 5 seconds, the parachutist will drop 660 feet.
Step-by-step explanation:
Given that a parachutist's rate during a free fall reaches 90 miles per hour, to determine what is this rate in feet per second and, at this rate, how many feet will the parachutist fall during 5 seconds of free fall, knowing that 1 mile is equal to 5280 feet, the following calculations must be performed:
90 x 5280 = 475,200
475,200 / 60/60 = X
7,920 / 60 = X
132 = X
Thus, the parachutist's rate of fall is 132 feet per second.
132 x 5 = 660
In turn, in 5 seconds, the parachutist will drop 660 feet.
two packages of rice cost the same amount. Which is the better buy? 12 ounce or 400 grams
Answer:
400 grams
Step-by-step explanation:
12ounce= 340.19 grams approximately
So,its best to buy the package that weighs 400 grams
Help please !!! Thanks guys
An angle measures 60 degree it is divided into 5 angles with equal measures. What is the measure of those angles
Answer:
Each part of the angle would measure 12 degrees
Step-by-step explanation:
turn 3/40 into a fraction
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate.
Which inequlity represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
A.
t > 2.5
B.
t < 2.5
C.
t > 0.4
D.
t < 0.4
Answer:
Bro the answer is A
Step-by-step explanation:
trust me straight 100% brain dead person
WILL GIVE BRAINLIEST. NEED URGENTLY!
Use the FOIL method to find the product below.
(x + 3)(x2 - 6x)
A. x3 - 9x2 - 18
B. X8 - 9x2 - 18x
c. x3 - 3x2 - 18x
D. x2 – 3x2 - 18
Answer:
C) x³-3x²-18x
Step-by-step explanation:
x³-6x²+3x²-18x
x³-3x²-18x
The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is
Answer:
11cm
Step-by-step explanation:
Given data
Volume of cuboid =385 cm^3
Base area= 35cm^2
We know that
Volume = Area* Height
substitute and solve for Height
385=35*H
H= 385/35
H= 11cm
Hence, the height is 11cm
Science (from the Latin word Scientia, meaning "knowledge") is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
The earliest roots of science can be traced to Ancient Egypt and Mesopotamia in around 3500 to 3000 BCE
Answer:
?
Step-by-step explanation:
What are you even asking-
What's XY? Base A is 20 and base B is 36
Answer:
Step-by-step explanation:
c
Determine whether the two expressions are equivalent.If so,tell that property is applied. (37) and (2.3). 7*
O Yes; Identity Property
O Yes; Associative Property
O Yes; Commutative Property
O Yes; Inverse Property
O Expressions are not equal
Answer:
Yes; Inverse Property...
I hope it helps..
A number divided by negative three is greater than negative three Write the inequality and solve 50 points i need the correct answer asap !!!! Will mark brainiliest !!!
Answer:
No clue, but i would recommend using desmos, mathpapa, quizlet,
Step-by-step explanation:
Every day when commuting to and from work, Stefanie
drives her car a total of 143 miles for 2.5 hours. Her car
already has 45,300 miles on it.
a. Write a function that shows the total number of
miles, f(x), Stefanie's car will have been driven
after x more days. Explain how you know where
each number goes in the equation.
b. If Stefanie works 4 days a week, how many miles
will her car have been driven after 3 weeks? Show
and explain all your work.
Answer:
a) [tex]f(x) = 45300 + 143x[/tex]
In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.
b) 47,016 miles.
Step-by-step explanation:
Question a:
Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it.
So, after x days of work, the amount of miles driven will be given by
[tex]f(x) = 45300 + 143x[/tex]
In which 45300 is the current number of miles driven and 143 is the amount of miles she drives each day.
Question b:
After 4*3 = 12 days of work. So
[tex]f(12) = 45300 + 143*12 = 47016[/tex]
47,016 miles.
Could someone please help me, I have to turn this in, in 30 minutes, only answer if you know how to do it
9514 1404 393
Answer:
a. The value of A₀ changes from 10 to 20
b. t is replaced by (t-5)
Step-by-step explanation:
a. The given formula comes with a description that says A₀ is the initial dose in mg. If the initial dose changes from 10 mg to 20 mg, then A₀ changes from 10 to 20. The function becomes ...
A = 20·0.97^t
__
b. Shifting the graph of the function to the right by 5 minutes is accomplished by replacing t with (t-5). At the same time, the domain changes from t ≥ 0 to t ≥ 5. The function becomes ...
A = A₀·0.97^(t-5) . . . . . . . . for t ≥ 5
(30, points)
A right triangle is shown. Which is closest to the value of an x
Answer:
I think the answer might be 13. I don't know it is wrong or not
From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers are possible?
Answer:
132,600 possibilities
Step-by-step explanation:
The first one chosen can be 1 of 52
The 2nd one chosen is 1 out 51
And the 3rd chosen is 1 out 50
So...
52 x 51 x 50 = 132,600
There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The number of groups of 3 customers that can be chosen from a collection of 52 store customers can be calculated using the combination formula:
nCr = n! / r!(n - r)!
where n is the total number of customers (52) and r is the number of customers chosen (3).
Substituting the values, we get:
52C3 = 52! / 3!(52 - 3)!
52C3 = 52! / 3!49!
52C3 = (52 × 51 × 50) / (3 × 2 × 1)
52C3 = 22,100
Therefore,
There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.
Learn more about combination here:
https://brainly.com/question/14355408
#SPJ2
Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represent red-green color blindness.
P(C) = 0.039 P(F and C) = 0.004 P(F or C) = 0.548
2. Use the Addition Rule or the "OR" formula for probability, substitute the values given, and solve for the probability of a Female.
P(F or C) = P(F) + P(C) - P(F and C)
Answer:
0.513 = 51.3% probability of being a female.
Step-by-step explanation:
We are given the following formula:
[tex]P(F \cup C) = P(F) + P(C) - P(F \cap C)[/tex]
In which:
Event F: Female
Event C: Red-green color blindness.
Probability of a Female
We have to find P(F), which is given by:
[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C)[/tex]
We are given by:
[tex]P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548[/tex]
So
[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513[/tex]
0.513 = 51.3% probability of being a female.
22:4 :: x : 16, what is the value of x, if all the four numbers are in proportion.
Answer:
= 22:4 :: x : 16
22*16 = 4x
352 = 4x
x = 352/4
x = 88
Hope this helps you. Do mark me as brainliest.