There are 4 juice cartons and 9 milk cartons in the school refrigerator. What is the ratio of juice cartons to total cartons
A. 4 to 9
B. 4 to 13
C. 5 to 9
D. 9 to 13
Answer:
c I took the test
Step-by-step explanation:
which value of the variable m satisfies the equation 20 = -2(4m - 5)
Answer:
m = - 1.25
Step-by-step explanation:
20 = - 2(4m - 5) ← divide both sides by - 2
- 10 = 4m - 5 ( add 5 to both sides )
- 5 = 4m ( divide both sides by 4 )
- [tex]\frac{5}{4}[/tex] = m , that is
m = - 1.25
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.
Answer:
62.5%
Step-by-step explanation:
(56 - 62) / 4 = -1.5 z score = 0.0668
(64 - 62) / 4 = 0.5 z score = 0.6915
0.6915 - 0.0668 = 0.6247
Rounded this becomes 62.5%
The probability for the data value in between 56 and 64 is 62.5%.
What is z-score?
The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.
How to calculate z-score?z-score can be calculated by the formula
z = (x - μ)/σ
where,
μ is the mean
σ is the standard deviation
x is the data point
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
According to the given question
Mean of a normal distribution, μ = 62
standard deviation of a normal distribution, σ = 4
Now for the data value 56, the z-score will be
z = (56 - 62) / 4 = -1.5 z score = 0.0668
So, the area under normal distribution curve z = -1.5
P(z = -1.5) = 0.0668
Similarly,
For the data value 64, the z-score will be
z-score = (64 - 62) / 4 = 0.5
The area under normal distribution curve z = 0.5 is given by
P( z = 0.5) = 0.69
Therefore, the probability for the data value in between 56 and 64 is given by
0.6915 - 0.0668 = 0.6247 = 62.5%
Hence, the probability for the data value in between 56 and 64 is 62.5%.
Learn more about the z-score and probability here:
https://brainly.com/question/25638875
#SPJ2
Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5
Answer:
the answer is this hope it helps im not sure if its all right good luck.
Step-by-step explanation:
A. 65-2x=6x+9
B. 9-x=14x
C. 3+4x=5x-4
d is wrong
The first and third equations have {7} as their solution set.
What is an equation?It is a mathematical statement that is made up of two expressions connected by an equal sign.
The first equation is
65−2x=6x+9
Rearranging the above equation gives
8x = 65-9 = 56
i.e x = 7
Consider the second equation,
9−x=14x
i.e x = 9 / 15 = 0.6
The third equation is:
3+4x = 5x−4
i.e x = 7
The last equation is
x^2+1 = 8x−5
Its solution is not equal to 7.
As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.
To learn more about equation, use the link given below:
https://brainly.com/question/29538993
#SPJ2
Johnny kicks a ball into the air. Assume the path of the ball can be modeled with a quadratic function. The ball reaches a height of 10 feet and lands on the ground 3 seconds later. Draw and label a graph that models the path of the ball. Write an equation that models the path of Johnny’s ball.
An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
The maximum height is given as:
[tex]h_{max}= 10ft[/tex]
And the time spent is:
[tex]t = 3s[/tex]
So, the vertex of the ball would be:
[tex]Vertex = (t/2,h_{max})[/tex]
This gives
[tex]Vertex = (3/2,10)[/tex]
[tex]Vertex = (1.5,10)[/tex]
Rewrite properly as:
[tex](h,k) = (1.5,10)[/tex]
The ball is on the floor after 3 seconds.
So, another point on the graph is:
[tex](x,y) = (3,0)[/tex]
A quadratic equation is represented as:
[tex]y=a(x - h)^2 + k[/tex]
Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]0=a(3 - 1.5)^2 + 10[/tex]
[tex]0=a(1.5)^2 + 10[/tex]
Evaluate the exponent
[tex]0=2.25a + 10[/tex]
Subtract 10 from both sides
[tex]2.25a =- 10[/tex]
Divide both sides by 2.25
[tex]a = -\frac{10}{2.25}[/tex]
Multiply by 4/4
[tex]a = -\frac{40}{9}[/tex]
Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
See attachment for the graph that models the path
Read more about quadratic functions at:
https://brainly.com/question/11441586
Round 9.46 to the nearest tenth.
Answer:
9.50
Step-by-step explanation:
9.46 to the nearest tenth is 9.50,
wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.
Hope this helps!
Answer 9.5
Step-by-step explanation: i think-
Could someone answers these! I Really NEED HELP
Answer:
(3x + 5) (x - 3)
Step-by-step explanation:
This is the quadratic expression
how to find vertical asymptotes and horizontal asymptotes
Answer:
Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.
Step-by-step explanation: Correct me if i'm wrong lol.
What value of X is always
an outlier?
A) X> Q1 + 1.5 IQR
B) X>03 - 1.5 IQR
C)X
D) X > 1.5 IQR - Q1
E) X > Q3 +1.5 IQR
Answer:
Answer B
Step-by-step explanation:
Because (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.
To qualify for a scholarship, a student must score at least 90% on a written test. The test is 64 questions. Using this metric, what is the greatest number a student can miss and still qualify for the scholarship?
Answer:
6 questions
Step-by-step explanation:
First, you divide the total score of 100 by the 64 questions to get 1.5625 points per question. Next, you divide the lowest score to qualify of 90 by the 1.5625 to get 57.6 questions correct to qualify. Then, you round 57.6 questions correct up to 58 questions correct because a fraction of a question correct doesn't make sense. Finally, you subtract the total number of questions (64) by the required correct answers (58) to get 6 questions you can miss to still qualify for the scholarship.
help pls!! 3rd answer wasn’t correct
Answer:
-3
Step-by-step explanation:
The k value represents when the function moves up or down.
Since there are no vertical compressions or shifts, we can just focus on how much the graph went down. The function g(x) went down 3 units.
Therefore, k would equal -3.
quotient of 2 2/3 and 3 1/2
Answer:
16/21
Step-by-step explanation:
7. Explain what step was taken to go from the first equation to the second equation.
step 1: 2(x - 4) = -12
step 2: 2x - 8 = -12
A. Distribute the 2 on the left side of the equation.
B. Subtract both sides by 4.
C. Divide both sides by 2.
D. Add 4 on the left side.
Option A
your just multiplying the 2 to what's in parentheses
Troy pays a one-time rental fee of $25 and $15 per day to rent a bicycle.
Write an expression that gives the amount Troy pays to rent
d days
Answer:
y = 15d + 25 or y = 15x + 25
solve the equation 1 = u over 2
Answer:
u = 2, as we multiply both sides by the denominator (2).
1.60x + 0.95(12)=23.40
solve for x
there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?
Answer:
294
Step-by-step explanation:
40x7=280
2x7=14
280+14=294
Answer:
$294
Step-by-step explanation:
There is a total of 47 students in the science club.
5 did not go on the trip.
Number of students who went on the trip: 47 - 5 = 42
42 students wen on the trip.
Cost per person: $7
Total cost for 42 students: 42 × $7 = $294
This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V
Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14
Using Pythagoras' identity in the right triangle
x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )
x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]
i need help please thanks
Answer:
I can't write the equation but getting the answer is easy.
The difference in volume of the 2 aquariums is .2 cubic feet.
The difference in weight is 12.48 pounds.
Therefore, .2 cubic feet of water weighs 12.48 pounds. Therefore the
weight of 1 cubic foot of water = 12.48 / .2 = 62.4 pounds.
Step-by-step explanation:
what is the sum 1,826+2,149+1,023
Answer:
4998
Step-by-step explanation:
1000+2000+1000 = 4000
800+100 = 900
20+40+20 = 80
6+9+3 = 18
4000+900+80+18 = 4998
Hope that helps!
NEED HELPPP ASAAPPPPPPP
Answer:
me too
Step-by-step explanation:
What type of function is represented in the table? exponential linear quadratic logarithmic
2022 EDGE ASSIGNMENT
Modeling Functions Using Finite Differences
1. C
2. A, E
3. B
4. B, D
5. D
6. A
7. B, F
Use the area model to multiply
–
1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.
Answer:
no porque algunproblemw
Will mark brainly!! :)
What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]
Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]
Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.
Driving Time
Time (hr) Distance (miles)
3 150
7 350
10 500
What is Johnathan’s average rate of speed?
Answer:
50mph
Step-by-step explanation:
first divide 150 by 3 and you get 50
then divide 350 by 7 you get 50
and finally divide 500 by 10 and you get 50
Which graph shows the solution to this system of inequalities?
y < 3x - 4
y ≥ x + 1
Answer:
c
Step-by-step explanation:
The correct answer is option D.
What's a system of inequalities?
A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
How do you solve a system of inequalities?
Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality.Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.
Learn more about the system of inequalities here: brainly.com/question/4870108
#SPJ2
The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?
Answer:
V = B * H area of base * height
B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2
H = V / B = 600 cm^3 / 78.5 cm^2 = 7.64 cm
in baseball the home plate is shaped like the one shown it has three right angles and two other congruent angles A and B find measurement of angle a and measurement of angle B
Answer:
135
Step-by-step explanation:
the triangle is 90-45-45
the square is 90-90-90-90
where the two meet just add 45 + 90
135
what is 7x5 and ummmmmm
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Eliza fell asleep at 9:35 pm she awoke at 8 hours 45 minutes later what time did she wake up??
Answer:
6:20 AM
Step-by-step explanation: