Answers
Answer:
a^2+b^2=c^2
6^2+6^2=72
square root of 72
=8.49(3sf)
c^2-b^2=a^2
=3
x=3
answer : 3
step by step:
this may seem hard but it is easy.
the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:
name the hypotenuse x
then write the equation
x^2= 6^2 + 6^2
x^2= 72
take both the square root of them
x = 8.5
next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x
first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:
x^2 = 9^2 - 8.5^2
x^2 = 8.75
take square root of both
x = 3
Related Questions
While eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a Poisson distribution with a rate of 18 customers per hour. What is the probability that more than 4 customers arrive in a 10 minute interval
Answers
Answer:
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Rate of 18 customers per hour.
This is [tex]\mu = 18n[/tex], in which n is the number of hours.
10 minute interval:
An hour has 60 minutes, so this means that [tex]n = \frac{10}{60} = \frac{1}{6}[/tex], and thus [tex]\mu = 18\frac{1}{6} = 3[/tex]
What is the probability that more than 4 customers arrive in a 10 minute interval?
This is:
[tex]P(X > 4) = 1 - P(X \leq 4)[/tex]
In which:
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex] = 0.0498 + 0.1494 + 0.2240 + 0.2240 + 0.1680 = 0.8152[/tex]
And
[tex]P(X > 4) = 1 - P(X \leq 4) = 1 - 0.8152 = 0.1848[/tex]
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
Question 5
Find the volume.
Answers
Answer:
6144π ft³ ; 19292.2 ft³
Step-by-step explanation:
The volume of the cylinder Given above :
Volume of cylinder, V = πr²h
r =Radius = 16 ; h = 24 ft
V = π * 16² * 24
V = 256 * 24 * π
V = 6144π
Using π = 3.14
V = 6144 * 3.14 = 19292.16
What is the difference between a bar chart and a histogram?
Answers
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
15 POINTS! PLEASE HELP! BRAINLIEST!
What is the probability of flipping a coin 15 times and getting heads 6 times? Round your answer to the nearest tenth of a percent. O A. 19.6% O B. 9.2% O C. 4.2% O D. 15.3% SUBMIT
Answers
Answer:
D. 15.3%Step-by-step explanation:
Total number of outcomes:
2¹⁵ = 32768Number of combinations of getting 6 heads:
15C6 = 15!/6!(15-6)! = 5005Required probability is:
P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%Correct choice is D
Answer:
option D
Step-by-step explanation:
Total sample space
= [tex]2^{15}[/tex]
Number of ways 6 heads can emerge in 15 flips
= [tex]15C_6[/tex]
Probability:
[tex]=\frac{15C_6}{2^{15}}[/tex] [tex]= 0.1527[/tex]
Probability to the nearest percent : 15.3%
Consider the following two functions: f(x) = -.25x+4 and g(x)= .5x-1. State:
a. The y-intercept, x-intercept and slope of f(x)
b. The y-intercept, x-intercept and slope of g(x)
c. Determine the point of intersection. State your method used.
Answers
Answer:
f(x)= -25x+4
y-inter x=0
y= -25(0)+4
=4
x-inter y=0
0= -25x+4
-4= -25x
x=4/25
Simply the following ratio 1000:540:780
Answers
Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? *
Answers
Answer:
i think it is 46
Step-by-step explanation:
Answer:
2.9lbs
Step-by-step explanation:
there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.
does anyone know the quotient of x and y
Answers
Answer:
[tex]\frac{x}{y}[/tex]
Step-by-step explanation:
There you go.
Answer: The quotient of x is invisible number it can be any number depending of the equation
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answers
Answer:
Step-by-step explanation:
you have two disks, and one rectangle
area of the disk = π [tex]r^{2}[/tex]
47 π x 2 = 94 π (for the two disks....
rectangle area = L x W
width = 14
Length = 2*π*r = 14π
area = 14*14π = 196 π
total = 196 π + 94 π = 290 π
Answer:
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for the surface area of a cylinder is this :
[tex]A = 2\pi rh+2\pi r^{2}[/tex]
"R" is 7, and "h" is 14. Knowing these values, let's solve.
[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest! :)
What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
A
120 cubic inches
B
220 cubic inches
16 cubic inches
158 cubic inches
Answers
Answer:
A; 120 cubic inches
Step-by-step explanation:
Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:
[tex]V= 8*3*5\\V=120[/tex]
A. The volume of the rectangular prism is 120 cubic inches.
I hope this helps! Let me know if you have any questions :)
The following set of data represents the ages of the women who won the Academy Award for Best Actress from 1980 - 2003:
31 74 33 49 38 61 21 41 26 80 42 29
33 35 45 49 39 34 26 25 33 35 35 28
Make frequency table using # of classes as per the following criteria:
i) if you are born in Jan, Feb, Mar: No of classes = 5
ii) if you are born in Apr, May, Jun: No of classes = 6
Answers
Answer:
Step-by-step explanation:
Given the data :
Using 6 classes :
Class interval ____ Frequency
21 - 30 _________ 6
31 - 40 _________ 10
41 - 50 _________ 5
51 - 60 _________ 0
61 - 70 _________ 1
71 - 80 _________ 2
Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!
Answers
=========================================================
Explanation:
The order of the lettering is important because the order tells us how the letters pair up.
For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.
The congruences for the segments are then built up from the angles.
Find z such that 3.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.)
Answers
Answer:
z = 1.77.
Step-by-step explanation:
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, which is also the area of the normal curve to the left of Z. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Find z such that 3.8% of the standard normal curve lies to the left of z
Thus, z with a z-score of 0.038. Looking at the z-table, this is z = 1.77.
Please help meeeeeee!!
Answers
4x-23=2x+17
2x=40
x=20
Find x so that m || n. Show your work.
Solution:-Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.
Solve for x.
[tex]\sf{4x-23=2x+17}[/tex]
[tex]\sf{4x-2x-23=2x-2x+17}[/tex]
[tex]\sf{2x-23=17}[/tex]
[tex]\sf{2x-23+23=17+23}[/tex]
[tex]\sf{2x=40}[/tex]
[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]
[tex]\sf{x={\color{magenta}{20}}}[/tex]
========================#Hope it helps!
(ノ^_^)ノ
The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.
Answers
Answer:
4/8
Step-by-step explanation:
d = 2n
n+3 = 7
d-3 = 5
substitute '2n' for 'd' in d-3=5
2n-3 = 5
2n = 8
n = 4
d = 2(4)
4/8
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answers
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
Chris was given 1/3 of the 84 cookies in the cookie jar. He ate 3/4 of the cookies that he was given. How many cookies did Chris eat?
Answers
Answer:
21 cookies
Step-by-step explanation:
First we know that Chris was given a third of 84 cookies so we can start working on this problem by figuring out what a third of 84 is. We can do this by multiplying 84 by 1/3 or just dividing by 3, which gives us: 84/3 = 28
So now we know that Chris was given 28 cookies, we can figure out what 3/4 of that is to work out how many cookies he ate. 28 x (3/4) = 21 cookies.
Chris ate 21 cookies.
Hope this helped!
Answer:
21 cookies
Step-by-step explanation:
1/3 × 84 = 28
3/4 × 28 = 21
which statement is true?
Answers
Answer:
A. The slope of Function A is greater than the slope of Function B.
Step-by-step explanation:
The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.
Answers
Answer:
The equation of the parabola is y = x²/4
Step-by-step explanation:
The given focus of the parabola = (0, 1)
The directrix of the parabola is y = -1
A form of the equation of a parabola is presented as follows;
(x - h)² = 4·p·(y - k)
We note that the equation of the directrix is y = k - p
The focus = (h, k + p)
Therefore, by comparison, we have;
k + p = 1...(1)
k - p = -1...(2)
h = 0...(3)
Adding equation (1) to equation (2) gives;
On the left hand side of the addition, we have;
k + p + (k - p) = k + k + p - p = 2·k
On the right hand side of the addition, we have;
1 + -1 = 0
Equating both sides, gives;
2·k = 0
∴ k = 0/2 = 0
From equation (1)
k + p = 0 + 1 = 1
∴ p = 1
Plugging in the values of the variables, 'h', 'k', and 'p' into the equation of the parabola, (x - h)² = 4·p·(y - k), gives;
(x - 0)² = 4 × 1 × (y - 0)
∴ x² = 4·y
The general form of the equation of the parabola, y = a·x² + b·x + c, is therefore;
y = x²/4.
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answers
Answer:
24
Step-by-step explanation:
a + b = 300 pls help i cant find out the answer
Answers
Answer:
a= 250
b= 50
250 + 50 = 300
Step-by-step explanation:
There's many solutions but this was the first one I could come up with.
Answer:
my opinion is seince a+b=300 then the sqaure of 300= 17.3?
Step-by-step explanation:
thvuvugufugy i need help pls i beg
Answers
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
Is 0.01011011101111011111 rational or irrational?
Answers
Answer:
It is rational number.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful....Translate and solve: 46 less than y is at least -184
Answers
Translate: y - 46 > -184
Possible answer: y > - 138
Solution:
y - 46 > -184
= y > - 184 + 46
= y > - 138
#CarryOnLearning
The Possible answer of the given statement could be as y > - 138.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
Such values are called solution to that equation or inequality.
A Set of such values is called solution set to the considered equation or inequality.
Given information; 46 less than y is at least -184
To Translate: y - 46 > -184
WE can solve it as;
y - 46 > -184
y > - 184 + 46
y > - 138
Therefore, The Possible answer of the given statement could be as y > - 138.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ5
A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?
Answers
51
Step-by-step explanation:
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The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___
Answers
Answer:
perimeter of the rectangular ground floor
=2(length+width)
length=X+200
width=X
=2(X+200+X)
=4x+400
4x+400 =780
4x =780-400
4x =380
x =95
width=95 feet
length=95+200
=295 feet
If a die is rolled one time find these probabilities
-getting a number greater than 2 and an even number
-getting a number less than 1
Answers
Answer:
1. 1/3
2. 0
Step-by-step explanation:
Numbers that are greater than 2 and even are 4 and 6, two numbers.
The probability of getting a number greater than 2 and an even number is 2/6 or 1/3. Or 33.3333...%
There are no numbers less than 1 on a die so it’s impossible
which number is 3/8closet to
Answers
Answer:
616
Step-by-step explanation:
A fraction that is equivalent to 38 is 616
HELP PLEASE!!! HELP HELP
Answers
Answer:
f(-3) = -1/3
Step-by-step explanation:
-3 is less than -2 so we use the first function 1/x
f(-3) = 1/-3
Answer:
-1/3
Step-by-step explanation:
-3 is less than -2, so use the first one, 1/x and substitute -3 in
1/(-3)=-1/3
what's the easiest way to answer how I know the answer pls?
Answers
Explanation: The X values match up with those on the graph!
