Answer:
V = 120 cm^3
Step-by-step explanation:
The volume is
V = BH where B is the base and h is the height
The base is the triangle
B = 1/2 (bh)
B = 1/2 6*4
B = 12
V = 12* 10
V = 120 cm^3
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted? Enter your answer, rounded to the nearest hundredth.
Answer:
You need a z-score of at least 1.09 to get accepted.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?
We need to find Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
You need a z-score of at least 1.09 to get accepted.
Ray PA is tangent to circle O at point A, PA= 12 units, and the measure of AR is 60°. Answer the following and justify your answer using angle, arc, and special segments relationships with circles,
a) Find the length of the radius of circle O.
b) Find the length of line OP
Answer:
a) radius = 6.9288 units
b) OP = 13.857 units
Step-by-step explanation:
a)
As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.
So we can find the angle APO with the sum of internal angles of the triangle AOP:
90 + 60 + APO = 180
APO = 30°
Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:
tangent(30) = AO / AP
0.5774 = AO / 12
AO = 0.5774 * 12 = 6.9288 units
b)
To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:
OP^2 = AO^2 + AP^2
OP^2 = 6.9288^2 + 12^2 = 192.01
OP = 13.857 units
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
In the parabola y=(x+1)^2+2
Direction: Opens Up
Vertex: (1,2)
Focus: (1, 9/4)
Axis of Symmetry: x = 1
Directrix: y = 7/4
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
12 Shelley sells books,
2
On Saturday she is going to give a free book mark and a free dust ever with each book
she sells
All the books are the same size
Shelley needs to buy the book marks and the dust covers,
Book marks come in boxes,
Each box contains 24 book marks.
Dust covers come in packs.
Each pack contains 36 dust covers,
Shelley wants to have enough book marks and dust covers for 250 books,
She buys exactly the same number of book marks and dust covers.
Work out the number of boxes of book marks and the number of packs of dust covers she
buys
You must show all your working
Answer:
12 boxes of bookmarks and 8 packs of dust covers.
Step-by-step explanation:
Shelley wants to have at least 250 bookmarks and dust covers for her 250 books.
One box of bookmarks contain 24 bookmarks.
One pack of dust cover contain 36 dust covers.
Shelley buys same number of bookmarks and dust covers.
So, we need to find out LCM(Least Common Multiple) of 24 and 36 to come to a common number that can be bought.
LCM of 24 and 36 is 72.
But, at least 250 bookmarks or dust covers have to be bought. So, we need to find a multiple of 72 which is greater than or equal to 250.
Let us consider the Table of 72:
72, 144, 216, 288, 360 .....
For having enough count of bookmarks and dust covers, at least 288 bookmarks and dust covers have to be bought.
Number of boxes of bookmarks bought = [tex]\frac{288}{24} \Rightarrow 12[/tex]
Number of packs of dust covers bought = [tex]\frac{288}{36} \Rightarrow 8[/tex]
12 boxes of bookmarks and 8 packs of dust covers.
Select the correct answer. Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 = 7. What is KL? A. B. C. D.
Answer:
2√7
Step-by-step explanation:
Mathematically, the equation of a circle can be represented by;
(x-h)^2 + (y-k)^2 = r^2
where (h,k) = center and r = radius
Applying this to the question, we can see that the length of the radius of the circle is √7
The diameter is always twice the radius
Thus, the diameter KL = 2 * √7 = 2√7
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?
Answer:
6
Step-by-step explanation:
Number of blueberries = 18
Number of strawberries = 3 times less than blueberries
Number of strawberries
18/3 = 6Answer: 6 strawberries
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
Step-by-step explanation:
im confuesd here
Tom bought a pen for $60 and sold it to gain 20% on his cost price. How much money did he gain.
Please answer quickly and honestly. You have 10 seconds to complete
Answer:
12
Step-by-step explanation:
that is because 20 of 60 is 12
60X20/100=12
plzzzzzzzzzzzzzzzzz i need help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
State the order and type of each transformation
of the graph of the function
f(x) = (5(x - 1)) 3 - 2 as compared to the graph
of the base function.
Answer:
Graph.
f(x)=5(x−1)3−2
Step-by-step explanation:
what function below will translate f(x)=x^2 left 5 units a down 1 unit?
A. f(x)= (x-1)^2-5
B.f(x)=(x-5)^2-1
C.f(x)=(x-5)^2+1
D.f(x)=(x+5)^2-1
HELP ASAP
Answer:
B
Step-by-step explanation:
In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.
Which algebraic expression is equivalent to this expression?
5(3x+2)+18
Answer:
15x+28
Step-by-step explanation:
15x+10+18
15x+28
what is surface area?
find out a rational number lying between 1/4 and 1/3
PLEASE HELP...... NEED TO SUBMIT NOW....
Answer:
Hello,
2/7
Step-by-step explanation:
1/4 = 2/8
1/3 = 2/6
2/8 < 2/7 < 2/6
1/4 < 2/7 < 1/3
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
C. Exponential decay
Step-by-step explanation:
What is the value of x?
Answer:
x=3
Step-by-step explanation:
4x = 2x + 6
-2x -2x + 6
2x = 6
x = 3
Answer: 56° and 34°
Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.
If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.
Simplifying from here, we have 6x + 6 = 90.
Subtracting 6 from both sides, we have 6x = 84.
Dividing both sides by 6, we find that x = 14.
Now, remember that these should add up to 90 degrees.
We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.
So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.
Now adding, 56 + 34 gives us 90.
So, we know that these are the correct measures.
Divide x³+x²+x+1 by x+1
Answer:
x^2+1
Step-by-step explanation:
x^3+x^2+x+1 / x+1
=(x+1)(x^2+1) / x+1
reduce (x+1) and x+1 and you will get x^2+1
What is the value of the expression (–5) -3 but the -3 is an exponent.
Answer:
Answer: -0.008
Step-by-step explanation:
Hope this helped!
Which point is located at (Negative 1, 1 and one-fourth)?
Answer:
(-1, 1 1/4) or (-1, 1.25)
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
Help I do not understand
A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.
Answer:
Step-by-step explanation:
Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
r represents radius of the cylinder
h represents height
π = constant = 3.14
From the information given,
Diameter = 12 feet
Radius, r = diameter/2 = 12/2 = 6 feet
h = 4 feet
Volume = 3.14 × 6² × 4 = 452.16ft³
Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is
452.16 × 7.48 = 3382.16 gallons
The table lists the government ministers of the legendary kingdom of Neverland.
Nqverland.
Sum
Can the government offices be represented as a function of the ministers' names?
please help me i Just need 2 more to finish please
Answer:
No
Step-by-step explanation:
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
No, the government offices can not be represented as a function of the ministers' names.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, names of offices and their presidents,
Since,
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
Hence, the government offices can not be represented as a function of the ministers' names.
Learn more about functions, click;
https://brainly.com/question/12431044
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What is the value of the function at x= -2?
Y=-4
Y=0
Y=2
Y=3
Answer:
y = 3
Step-by-step explanation:
When x = -2, y = 3. You can tell because when you go to the -2 on the graph, and you move upwards, towards the line, the line lays on the point 3.
Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:
Answer:
no clue bud
Step-by-step explanation:
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
David & Dan share a lottery win of £9900 in the ratio 3 : 2. David then shares his part between himself, his wife & their son in the ratio 4 : 4 : 2. How much more does his wife get over their son?