Answer:
The
3rd one
Step-by-step explanation:
You toss a coin and roll a six-sided die twice. What is the probability of landing on heads, rolling a 2, and then rolling a 4?
Answer:
1/72
Step-by-step explanation:
The probability of landing on heads is 1/2
The probability of rolling a 2 is 1/6
The probability of rolling a 4 is 1/6
[tex]\frac{1}{2} *\frac{1}{6} *\frac{1}{6} =\frac{1*1*1}{2*6*6} =\frac{1}{72}[/tex]
Find the length of the unknown side.
25 cm
15 cm
Answer:
b = 20 cm.
Step-by-step explanation:
Define and explain:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
Solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
[tex]15^2+b^2=25^2[/tex]
[tex]225+b^2=625[/tex]
[tex]625-225=400[/tex]
[tex]b^2=400[/tex]
[tex]b=20[/tex]
Conclude:
Therefore, the length of the unknown side is 20 centimeters.
PLEASE HELP WORTH 10 POINTS
WILL GIVE THE CROWN
Answer:
PA = 8
Step-by-step explanation:
formula is C^2 = E * (A + E)
C^2 = 4 * (12 + 4)
C^2 = 64
[tex]\sqrt{c} = \sqrt{64}[/tex]
c = 8
C = PA = 8
Find the nth term of this number sequence 2, 4, 6, 8,
Answer:
[tex] a_n = 2n [/tex]
Step-by-step explanation:
Given sequence is: 2, 4, 6, 8,.....
Here, a = 2, d = 4 - 2 = 2
To find: [tex] a_n[/tex]
[tex]a_n = a + (n - 1)d \\ \\ \therefore \: a_n = 2 + (n - 1)2\\ \\\therefore \: a_n = 2 + 2n -2\\ \\\therefore \: a_n = 2n \\ \\[/tex]
Write an algebraic expression for the situation.
3.2 less than a number m
Answer:
m - 3.2
Step-by-step explanation:
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states that the top 8% of the class will receive an A; the next 20% will receive a B; the next 42% will receive a C; the next 18% will receive a D; and the bottom 12% will receive an F. What grade must you exceed in order to receive a grade of C or better
Answer:
65.45
Step-by-step explanation:
Zscore = (x - mean) / standard deviation
x = score
Percentage below C :
D = 18% ; F = 12%
Sum = 30%
Obtain the Zscore for the proportion below D
P(Z < 0.30) = -0.524
Hence, Zscore = -0.524
Put Zscore = -0.524 in the equation :
-0.524 = (x - 72) / 12.5
-0.524 * 12.5 = x - 72
-6.55 = x - 72
-6.55 + 72 = x
x = 65.45
To receive a grade of C or better, score must be atleast 65.45
Your friend Mona claims that the average student debt immediately after graduation in the United States is $24,500. You want to see if your university has lower student debt at graduation. To test this, you randomly collect data from 40 students who recently graduated. The average of your sample is $22,413, with an associated standard deviation of $7,312. Using this data to perform
This question is incomplete, the complete question is;
Your friend Mona claims that the average student debt immediately after graduation in the United States is $24,500. You want to see if your university has lower student debt at graduation. To test this, you randomly collect data from 40 students who recently graduated. The average of your sample is $22,413, with an associated standard deviation of $7,312. Using this data to perform the hypothesis test; H₀ : μ = 24,500 vs Hₐ : μ < 24,500.
What is the p-value of this test and conclusion at ∝ = 0.05
Answer:
a) p-value = 0.0394
b) Since p value ( 0.0394 ) is less than ∝ ( 0.05 ), We reject the null hypothesis.
Hence, There is insufficient evidence at ∝ = 0.05 to claim that the average student debt immediately after graduation in the United States is $24,500.
Step-by-step explanation:
Given the data in the question;
sample size n = 40
sample mean x' = 22413
level of significance ∝ = 0.05
standard deviation s = 7312
Hypothesis;
Null Hypothesis H₀ : μ = 24,500
Alternative Hypothesis Hₐ : μ < 24,500
Test Statistics;
t = (x' - μ) / ( s/√n)
we substitute
t = (22413 - 24500) / ( 7312 / √40)
t = -2087 / 1156.1287
t = -1.805
Degree of Freedom DF = n - 1 = 40 - 1 = 39
With t = -1.8052 and df = 39
p( t < -1.805 ) = 0.0394
p-value = 0.0394
Since p value ( 0.0394 ) is less than ∝ ( 0.05 ), We reject the null hypothesis.
Hence, There is insufficient evidence at ∝ = 0.05 to claim that the average student debt immediately after graduation in the United States is $24,500.
Which triangles are similar?
Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Please answer ALL questions in order for BRAINLIEST! NO links or else you will be reported and maybe even get banned.
-----------------------------------------------------------------------------------------------------------
Find the volume of the trapezoidal prism:
- 29in^3
- 48in^3
- 228in^3
- 2016^3
Answer:
C. 228 in^3
Step-by-step explanation:
WH(A + B)/2. In other words, multiply together the length, height, and average of A and B. A and B are the two base lengths.
=(4)(6) x (12 + 7)/2
=24 x (19/2)
= 24 x 9.5
= 228
which expression correctly shows the sum of the product of 9 and 5 difference of 24 and 6?
Answer:
72
Step-by-step explanation:
When you multiply 9 and 5 you get 45. When you subtract 6 from 24 you get 18.
45 + 18 = 72
If helpful please mark me brainliest!
The correct expression for the sum of the product of 9 and 5 and the difference of 24 and 6 will be (9 × 5) + (24 -6) which will be equal to 63.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement in the question,
Product of 9 and 5 i.e., 9 × 5 and,
Difference of 24 and 6 i.e., 24 - 6
Thus sum will be,
(9 × 5) + (24 - 6)
The result of the expression is 63.
To know more about an expression:
https://brainly.com/question/14083225
#SPJ2
Given m||n, find the value of x. See attachment.
Answer:
hope it will helps you please heart my answer!
Kyra has 850 beads to make a necklace for her friends. Each necklace will use 90 beads. How many necklaces will she be able to make
Answer:
9 necklaces with 40 extra beads
Answer:
Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.
Step-by-step explanation:
850/90= 9 r40
Which of the following are exterior angles? Check all that apply.
Answer:
Step-by-step explanation:
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
84,327.50 cubic meters
Step-by-step explanation:
Volume of a cone 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 25^2 x 129 = 84,327.50 cubic meters
what is one and four six minus three?
NO LINKS. NO WRONG ANSWERS. JUST HELP please :>
Improper fraction : -4/3
Mixed number : -1 1/3
Step-by-step explanation:
Answer: -4/3
Step-by-step explanation:
Each week, Morgan walks a total of 5 miles to and from school,
and Whitney walks a total of 6 miles to and from school.
Part A
Enter a number in each box to complete the ordered pairs showing the total number of miles that
Morgan and Whitney will have walked after each week. The first term of each ordered pair is the
number of miles Morgan will have walked.
The second term is the number of miles Whitney will have walked.
(5,
), (
, 12), (15, 18), (
,
), (
, 30)
Part B
Which graph represents the data in Part A?
A. Graph of a diagonal line on a coordinate plane with "Morgaon's Distance in miles" on x-axis and "Whitney's Distance in miles" on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (6, 5), (12, 10), (18, 15) and (24, 18).
B. Graph of a diagonal line on a coordinate plane with "Morgaon's Distance in miles" on x-axis and "Whitney's Distance in miles" on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (5, 6), (10, 12), (15, 18) and (18, 24).
C. Graph of a diagonal line on a coordinate plane with "Morgaon's Distance in miles" on x-axis and "Whitney's Distance in miles" on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 4), (5, 11), (10, 16) and (15, 21).
D. Graph of a diagonal line on a coordinate plane with "Morgaon's Distance in miles" on x-axis and "Whitney's Distance in miles" on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (4, 6), (8, 12), (12, 18) and (16, 24).
Answer: uhhhhhh i need help with this to
PLEASE ANSWER 15 POINTS!
what is the average rate of change of f(x) = (x + 3)2 − 2
Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:
[tex]r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12[/tex]
If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)
Given to
BE
EC
Prove: AB || DE
A
D
3
C
1
2
E
B
Complete the steps of the proof.
Answer:
Step-by-step explanation:
Given:
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.
Required:
a. What are the chances that a monkey and a kangaroo will fall off the bed?
b. What are the chances that a monkey will fall off the bed?
c. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?
Answer:
Explanation is in a file
Step-by-step explanation:
Please help I only have 2 days to complete this and I have lots of other work to do
Answer:
i gotchu gimme a second pls
Step-by-step explanation:
24. Julie has $200 to plan a dance. There is a one-time fee of $150 to reserve a room. It also costs $1.59 per person
for food and drinks. What is the maximum number of people that can
come to the dance? A. 33 B. 34 C. 100 D. 133
Use the graph of f to find f(2).
A. 0.5
B. -0.5
C. Does not exist
D. -8
HELP!!!!!! ILL GIVE BRAINLEST
Answer:
Its 95/100
Step-by-step explanation:
7/10 can be changed into 70/100 then just add 25/100 and you get 95/100
Answer:
32/100
Step-by-step explanation:
All we have to do is add the amount of distances he hike!
If you are curious to why we do not add the 10 + 100, the denominator is spose to stay the same in addition!
7/10 + 25/100 = 32/100
~ LadyBrain
What is the area of the shaded region? 37 ft 29 ft 21 ft 16 ft
PLEASE HELP FAST !!!!!!!!!!!
Answer:
C. 48 Feet
Step-by-step explanation:
9 X 4 = 36
Triangle 1 : 4 X 3 = 12/2 = 6
Triangle 2 : 4 X 3 = 12/2 = 6
36 + 6 + 6 = 48
Chloe wants to buy a shirt at the store that cost $14.99. She also wants to
buy a pair of shoes that cost $25.99. She has a coupon for x dollars off her
entire purchase. She spends a total of $30.98 at the store. Which equations
could be used to find the value of the coupon, X. Choose all that apply. *
14.99 + 25.99 - X
14.99 + 25.99 - X = 30.98
40.98 - x = 30.98
14.99 - X + 25.99 = 40.98
Answer:
14.99 + 25.99 - X = 30.98
14.99 + 25.99 - X
Step-by-step explanation:
They all relate to what the question is asking, and make the most sense
find the area of a triangle with base 4cm and height 7cm
Answer:
A=14cm²
Step-by-step explanation:
A=hbb
2=7·4
2=14cm²
Answer:
Area of a Triangle = 1/2base x height
= 1/2 x 4 x 7
=14cm²
need help please finding the asnwer to number 4
9514 1404 393
Answer:
x = 6.4
Step-by-step explanation:
The corresponding sides are proportional, so we have ...
horizontal/vertical = x/(5+3) = 4/5
x = 8(0.8) = 6.4 . . . . . . multiply by 8
what is the radius of a circle with the equation x^2+y^2-14x+10=250
Answer:
radius is 17
Step-by-step explanation:
Use "completing the square" to rewrite the given equation in standard form for a circle centered at (h, k) with radius r:
x^2+y^2-14x+10=250 becomes:
x^2 - 14x + y^2 = 240 after grouping x terms and y terms separately.
Completing the square, once for x and once for y, results in:
x^2 - 14x + 49 - 49 + y^2 = 240.
Rewriting x^2 - 14x + 49 as the square of the binomial x - 7 results in:
(x - 7)^2 + y^2 = 289 = 17^2
From this we recognize that the center is at (7, 0) and the radius is 17.