Answer:
b
Step-by-step explanation:
Answer:
a and c
Step-by-step explanation:
The school tuck-shop has milk in 600 mL and 1 litre cartons. If there are 54 cartons and
40 L of milk in total, how many 600 mL cartons are there?
Answer:
4
Step-by-step explanation:
54 x 40 = 2160 L
2160 ÷ 600 = 3.6 = 4
The number of the cartons of 600 mL will be 4.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The school tuck-shop has milk in 600 mL and 1 liter cartons.
If there are 54 cartons and 40 L of milk in total.
The number of the cartons of 600 mL will be
⇒ 54 x 40
⇒ 2160 L
The number of cartons will be
⇒ 2160/600
⇒ 3.6
⇒ 4
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
A roller coaster at XTRA Fun Rides goes into an underground tunnel during the first descent of the
ride. The coaster enters the tunnel three seconds after the first descent starts and stays in the
tunnel for a total of 2 seconds. The roller coaster Is 40 feet above ground
one second after the
Initial drop. The graph below represents the height of the roller coaster versus the time passed
since the initial drop.
Answer:
y-intercept: (0, 75) ⇒ y = 75
x-intercepts: (3, 0) and (5, 0) ⇒ x = 3 and x = 5
vertex: (4, -5)
Step-by-step explanation:
Let the x-axis be the ground (when y = 0). Therefore underground when y < 0 and overground when y > 0
The function is a quadratic: f(x) = ax² + bx + c
If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5
Also, when x = 1, y = 40
f(3) = 0Solve 2 equations simultaneously:
9a + 3b + c = 025a + 5b + c = 0a + b + c = 40⇒ a = 5 b = -40 c = 75
⇒ f(x) = 5x² - 40x + 75
y-intercept
when x = 0
⇒ f(0) = 5(0²) - 40(0) + 75 = 75
⇒ y-intercept = (0, 75)
x-intercepts
x = 3 and x = 5
Vertex
If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4
⇒ f(4) = 5(4²) - 40(4) + 75 = -5
⇒ vertex = (4, -5)
(1) The scores ou an aptitude test for finger dexterity are uonually distributed with meau 250 and
standard deviation 65.
a) What is the probability that a person selected at random will score between 240 and 270 on the
test?
b) Test is given to a random sample of seven people. What is the probability that the mean score,
I for the sample will be between 240 and 270?
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.1813 = 18.13% probability that a person selected at random will score between 240 and 270 on the test.
b) 0.4501 = 45.01% probability that the mean score for the sample will be between 240 and 270.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of [tex]\mu = 250[/tex].The standard deviation is of [tex]\sigma = 65[/tex].Item a:
The probability is the p-value of Z when X = 270 subtracted by the p-value of Z when X = 240, hence:
X = 270:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{270 - 250}{65}[/tex]
[tex]Z = 0.31[/tex]
[tex]Z = 0.31[/tex] has a p-value of 0.6217.
X = 240:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{240 - 250}{65}[/tex]
[tex]Z = -0.15[/tex]
[tex]Z = -0.15[/tex] has a p-value of 0.4404.
0.6217 - 0.4404 = 0.1813.
0.1813 = 18.13% probability that a person selected at random will score between 240 and 270 on the test.
Item b:
We have a sample of 7, hence:
[tex]n = 7, s = \frac{65}{\sqrt{7}} = 24.57[/tex]
X = 270:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{270 - 250}{24.57}[/tex]
[tex]Z = 0.81[/tex]
[tex]Z = 0.81[/tex] has a p-value of 0.7910.
X = 240:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{240 - 250}{24.57}[/tex]
[tex]Z = -0.41[/tex]
[tex]Z = -0.41[/tex] has a p-value of 0.3409.
0.7910 - 0.3409 = 0.4501.
0.4501 = 45.01% probability that the mean score for the sample will be between 240 and 270.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Which of the following describes the graph shown?
Answer:
third from top down
Step-by-step explanation:
We can think of f(x) as y
y = 3 if x ≥ 3, y coordinate is always 3, while x coordinate starts at 3 inclusive and goes on toward +∞
y = -1 if x ≤ -1, y coordinate is always -1, while x coordinate starts at -1 inclusive and goes on toward - ∞
How many 2/5 pieces of rope can be cut out of 4 4/5 of rope?
Answer:
12 pieces
Step-by-step explanation:
4 4/5 = 24/5 / 2/5 = 12
Can someone help me pls
Answer: The second option would be the answer
Step-by-step explanation:
Factoring the number is just listing all the whole numbers it can be divided by, and in this case it includes the variable. 16a is dividable by 1, 2, 4, 8, 16, and a; since 16a / a = 16. Apply this to 18b, and 1, 2, 3, 6, 9, 18, and b.
Can someone please help me
Answer:
is this science or math ?
Step-by-step explanation:
Can someone help me please
9 bags sorry for the other answer
she has 7 boxes at home, then she goes and buys 6 more from the store, now she has 7 + 6 = 13 boxes of chips, each box of chip has 13 bags, so the total amount of potato chips I guess is 13 * 13 = 169 bags total.
So she split it even among her 9 students, so how many times does 9 go into 169? 169 ÷ 9, has a quotient of 18 with a remainder of 7.
18 * 9 = 162, plus 7 = 169, which is the total amount of potato chips bags.
give the location of Dallas as an ordered pair X, Y
Answer:
[tex]\huge\boxed{\sf(2, -5)}}[/tex]
Step-by-step explanation:
Hello.
The x-coordinate is always the first, so find the x-axis and count down.
Remember, the x-axis is horizontal (like this: ------------------->)
The x-coordinate of Dallas is 2.
Now, the y-axis is vertical.
Find it and count down.
The y-coordinate is -5.
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
what is 3+6/2
4+4/2
4+4x4
4x4x4
Answer:
it is 4+4/2
Step-by-step explanation:
you use pemdas which is
parenthesis, exponents, multiplication, division, addition, and subtraction.
now you go from left to right so if you see division before multiplication then you will do division first because addition and subtraction and multiplication and division are equal so multiplication is not more important than division and addition is not more impirtant than subtraction.
so basically you do 4/2 which is 2
and
4+2=6
Jasmine paid $35.4 for a pack of 12 pairs of socks. What was the price of one pair of socks?
(Round your answer to
Answer:
the answer is 2,95
what is (9x 2/3) x 2/3
Answer:
4
Step-by-step explanation:
(9 x 2/3) x 2/3
9x 2 = 18
18/3 = 6
6 x 2 = 12
12/3 = 4
(9 x 2/3) x 2/3 = 4
Answer:
4
Step-by-step explanation:
(3 times 2) times 2/3
6 times 2/3
2 times 2
=4
Write the equation of a line that passes through the point (-8,4) and is parallel to the line y=-5x+3.
Answer: y=-5x-36
Step-by-step explanation:
In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.
slope(m) =-5
and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)
point slope formula: y-y1=m(x-x1)
y-4=-5(x--8)
simplify and pay attention to negative signs
y-4=-5(x+8)
y-4=-5x-40
y=-5x-36
:)
Which is greater 2/4 or 2/3
Answer: I would say 2/3
Step-by-step explanation:
U can see that 2/3 is almost a whole (3/3) while 2/4 is just halfway there
Or
you can turn 2/4 and 2/3 to a decimal
2/4 = 0.5
2/3 = 0.666
0.5 < 0.666
2/4 < 2/3
hope this helps
Answer:
2/3
Step-by-step explanation:
2/3 is greater because 2/4 = 1/2 and 2/3 is a bit greater than 1/2.
Let I stand for radiation experienced by the person, r stand for distance, and k be the constant of variation. Write an equation of variation representing the relationship between I, r, and k.
The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r
Equation of variationsVariation is defined as the changing of variable parameters. In problems relating to two or more variables, it is seen that the value of variable changes with respect to the other.
Variation can be direct, inverse, partial and joint in nature
Given the following parameters
Let I stand for radiation experienced by the personr stands for distancek be the constant of variation.The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r
learn more on variation here: https://brainly.com/question/6499629
The area of the triangle below is centimeters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
of the question is in the simple 0.45
Simplify the ratio 4:26.
A. 8/52
B.52/8
C.13/2
D.2/13
Help me pls fractions pls and thanks
Answer:
A
Step-by-step explanation:
2 x 4 = 8
3 x 4 = 12
2/3 = 8/12
A fair coin is tossed four times. a. Find the probability that the outcome is HTTH in that order. b. Find the probability that exactly two heads are obtained.
Answer:Four heads trust me.
The cost for a 7-day business trip for 4 people is $1,833 per person. The cost per person includes
flight, hotel, food, and spending money. The business trip would use 78% of the company's travel
budget. Find the total amount of money the company has budgeted for travel. The total travel budget for the company is $?
Answer:
9400 lol I hope its right but I'm not sure how I got it tho i hope it help
A circle has a radius of 10.4 cm the angle at the centre of the sector is 120 calculate the area of the sector
Answer:
sector area: 113.3
Step-by-step explanation:
When engineers designed a new car, they first built a model of the car. The ratio of the size of a part on the model to the actual size of the part is 2:5.If a door is 1.3 feet long on the model, what is the length of the door on the car.
Answer:
Math is hard.i do not know this
Ms. Lopez buys 12 packages of socks for her sons. Each package contains 5 pairs of socks. If she gives one son 32 pairs, how much does she give the other son?
Answer: 28 pairs
Step-by-step explanation:
12 times 5 is 60, so she has 60 pairs in total. She gives 32 pairs to one son, so 60-32 is 28. The other son receives 28 pairs of socks.
3k-4m - 1
2k+3m12
Solve the following equation using elimination method
Step-by-step explanation:
Let's solve your system by elimination.
3k−4m=−1;2k+3m=12
Multiply the first equation by 3,and multiply the second equation by 4.
3(3k−4m=−1)
4(2k+3m=12)
Becomes:
9k−12m=−3
8k+12m=48
Add these equations to eliminate m:
17k=45
Then solve17k=45for k:
17k=45
----
17k
=17
45
17
(Divide both sides by 17)
k=
45
17
Now that we've found k let's plug it back in to solve for m.
Write down an original equation:
3k−4m=−1
Substitute
45
17
forkin3k−4m=−1:
3(
45
17
)−4m=−1
−4m+
135
17
=−1(Simplify both sides of the equation)
−4m+
135
17
+
−135
17
=−1+
−135
17
(Add (-135)/17 to both sides)
−4m=
−152
17
−4m
−4
=
−152
17
−4
(Divide both sides by -4)
m=
38
17
Answer:
k=
45
17 and m=
38
17
How do you determine an end behavior of a logarithmic graph?
The end behavior of the parent function is consistent.
As x approaches infinity, the y-values slowly get larger, approaching infinity. As x approaches 0 from the right (denoted as x → 0+), the y-values approach negative infinity.
Convert 18 kilograms to ounces.
Answer:
634.931315 ounces
Step-by-step explanation:
Like that
Use the graph to solve the system of equations.
Answer:
( -2 , 1 )
Step-by-step explanation:
Add the 2 equations downwards.
( -x+4y=6 ) + ( 2x-y=-5 )...consider the sign of each term.
= x + 3y = 1
Put -2 in x because that's where the graph above shows an intersection of the 2 equations.
-2 + 3y = 1
3y = 3
y = 1.
( x , y) = ( -2 , 1 )
what is the value of x in units
Answer:
x = 25
Step-by-step explanation:
ΔBDR ~ ΔQDC
so
(24 + 40)/(15 + x) = 40/x
or
(24 + 40)/40 = (15 + x)/x
24/40 + 40/40 = 15/x + x/x
3/5 + 1 = 15/x + 1
3/5 = 15/x
Cross multiply,
3x = 15*5 = 75
x = 75/3 = 25
FIND THE AREA OF THR FIGURE!
WILL MARK BRAINLIEST IF CORRECT!
I HAVE 5 MINS PLS HURRY
Answer:
231.04
Step-by-step explanation:
Answer:
229.14
Step-by-step explanation:
Multiply 7.5 by 19 for the area of the rectangle.This gets you 142.5.The area of the triangle is 86.64.Now add them together.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
arron takes his dog for a walk afer school, he walks 5 blocks east and then 4 blocks north. if he was able to take a direct route home, how many blocks would he need to travel
Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where [tex]a[/tex] and [tex]b[/tex] are 2 legs of the triangle, and [tex]c[/tex] is the hypotenuse, aka the longest side of any triangle:
[tex]a^2+b^2=c^2[/tex]
We know [tex]a[/tex] and [tex]b[/tex] and want [tex]c[/tex]
[tex]4^2+5^2=c^2[/tex]
[tex]16+25=c^2[/tex]
[tex]41=c^2[/tex]
Therefore, [tex]c[/tex] is approximately [tex]6.403[/tex]
