Answer:
Measure of third angle = 80°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of the equal sides of an isosceles triangle are equal in measure.
Since, base angles of an isosceles triangle are equal,
(3x + 2) = (5x - 30)
5x - 3x = 2 + 30
2x = 32
x = 16
Now measure of the base angles will be = (3×16) + 2 = 50°
Let the measure of third angle = y°
Since, sum of interior angles of a triangle = 180°
50° + 50° + y° = 180°
y + 100 = 180
y = 80°
Therefore, measure of third angle is 80°.
It costs $5.50 per hour to rent a pair of ice skates for the first 2 hours. After 2 hours, the rental cost decreases to $2.50 per hour. Using the table you created for the last problem, calculate the cost to rent a pair of ice skates for 4 hours.
Answer: It would cost $16 dollars for 4hrs
Step-by-step explanation:
1. First find the value of the first two hours so $5.50+$5.50=$11
2. Then calculate how much for the last two hours, so $2.50+$2.50=$5
3. Combine the two $11+$5=$16 for 4hrs
David made a class banner out of a large rectangular piece of paper. He cut a triangular piece out of one side. what is the area ,in square inches, of the banner?
help asap! will award brainly and pls explain!
This is a right angle triangle.
So, by Pythagoras theorem,
√(32^2+20^2) = x
or √(1024+400) = x
or √1424 = x
or 37.74 = x
1.25% of what number is 17.5?
Answer:
1400
Step-by-step explanation:
Divide [tex]17.5[/tex] by [tex]0.0125[/tex].
What makes a function of a discrete variable a candidate for a discrete random variable distribution? What about the counterpart of this candidacy in the case of a continuous variable?
Answer and Step-by-step explanation:
A random variable is a variable having numerical values determined by the outcomes of the experiment. A random variable may have a finite number or an infinite sequence of values said to be discrete.
A random variable that describes the number of automobiles sold at a dealership would be discrete one day. Simultaneously, a random variable represents the weight of a person in a kilogram or pounds.
The probability distribution of discrete random variable x is each possible value of x and the probability that x takes amount in one trial of the experiment.
The probability distribution of the random variable contains the following properties:
1- Each probability must be between 0 and 1.
0 ≤ p(x) ≤ 1
2- The sum of all probabilities is equal to 1.
Ʃp(x) = 1
A continuous random variable may assume any value from data. The continuous random variable takes costs that vary within one or more intervals. And it has a cumulative distribution function (CDF) that is absolutely continuous.
The random variable has an infinite number of possible values, which have zero probability. The range of this type of discount can have a nonzero chance.
The probability distribution of the random variable is described by probability density, where the probability can be calculated by taking the area under the curve.
Which is the graph of y = cos(x) + 3?
Answer:
Graph B on Edg
Step-by-step explanation:
Starts at 4 goes down to 2 then back up to 4
6-5x=20 pls help
i am in rush
Answer:
20
Step-by-step explanation:
Answer:
x = -14/5 or -2.8
Step-by-step explanation:
6 - 5x = 20
Subtract 6 from both sides.
- 5x = 14
Divide both sides by - 5
x = -14/5 or -2.8
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!
Can someone help me on this question please?
Answer:
XQ = QY
Step-by-step explanation:
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Bisectors.
Bisectors divide lines into two equal parts, so
QX = QY
The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Age 36 39 48 53 58
Bone Density 358 351 330 325 314
Table
Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.
Answer:
-1.973
Step-by-step explanation:
Given the data :
Age 36 39 48 53 58
Bone Density 358 351 330 325 314
Equation of regression line is in the form:
yˆ=b0+b1x
Where y = predicted variable ;
b0 = intercept ; b1 = slope or gradient ; x = predictor variable
Using The correlation Coefficient calculator :
The regression equation obtained is :
ŷ = -1.97316X + 427.94399
From the equation ;
The slope or gradient (b1) = - 1.97316
Hence, estimated slope to 3 decimal places is : - 1.973
I need help. Thanks!
Answer:
Step-by-step explanation:
why the law of contract has seen so little constitutional transformation?
Answer:
Because the law of contract has to do with private law relation.
Step-by-step explanation:
Given that law of contract has to deal with Private laws involving parties to the contract, but not in any way affecting or involving the state or society. The law of contract has seen so little constitutional transformation. For example law of the contract between manufacturers of cars and consumers or buyers.
This is evident in the fact that people's perception and the reality is that the outcomes of the successful delivery or breach of the law of contract have no direct implication on the other people in the society such as individual rights.
Mark created the equation y = 6x-2 for a table and wondered what the output would be for x= 3 Solve for the output. Show your work.
Answer:
16
Step-by-step explanation:
y=6(3)-2
y=18-2
y=16
Find the coordinates of the midpoint for the line with endpoints; A(-1, 5) and B(2, -3). Use the midpoint formula.
Answer:
(0.5, 1)
Step-by-step explanation:
The midpoint formula says that the midpoint between two points (a, b) and (c, d) is:
[tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Here, a = -1, b = 5, c = 2, and d = -3, so the midpoint is:
[tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
[tex](\frac{-1+2}{2},\frac{5-3}{2})=(\frac{1}{2} ,\frac{2}{2} )=(0.5,1)[/tex]
The answer is thus (0.5, 1).
3) James got a 84% on a test that had 25 questions. how many questions did james get correct
Answer:
21 questions
Step-by-step explanation:
0.84 times 25 = 21
Answer:
James got 21 questions correct.
Step-by-step explanation:
100% = 25 questions
84% = [tex]\frac{84}{100}[/tex] × 25
= 21 questions
N is a product of two primes. N is prime, composite or special number?
Answer:
special number
Step-by-step explanation:
Answer:
The answer is a composite number Step-by-step explanation: If you multiply 3x3, that is 9, which is composite. Even if you go forever trying to multiply a prime number by a prime number, it will always be composite.
Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What was the total number of students who said they liked dogs best?
Answer: 54 liked best
Step-by-step explanation: None
Answer:
54
Step-by-step explanation:
A class of 63 students is going on a field trip. They will take 9 buses. Each bus will have the same number of students. How many students will be on each bus?
Answer:
There will be 7 students on each bus.
Step-by-step explanation:
If the class of 63 students is divided into 9 buses with the same number of students traveling in each one, to determine the number of students traveling in each bus it is necessary to perform the following mathematical calculation:
63/9 = X
7 = X
Thus, in each bus 7 students will travel, and in this way all buses will carry the same number of students.
Answer:
9
Step-by-step explanation:
36 divided by 4 = 9
:)))
Write 2 fractions equivalent to 7/12
Answer:
14/24 And 21/36
Step-by-step explanation:
Just multiply the fractions by any number. In this case 2 and 3.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!..........
Answer:
105 degrees
Step-by-step explanation:
l and m are parralel and are strait lines 180 degrees
angle 6 is corresponding to angle 2 so angle 2 is also 75 degrees
180 minus 75 equals 105 degrees
geometry!! can someone help me with #23 please? it would mean a lot thanks :)
Answer:
yes, they are parallel lines in #23
Step-by-step explanation:
the slope of both lines is -1
Erik Red is a player for the Arizona Snowflakes in the National Foosball League. The league has 25 teams, each with 73 players. Every week, 8 players per team are chosen for random drug testing.
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?
Answer:
8/73
0.10959
21 players
Step-by-step explanation:
Given that:
Number of teams = 25
Number of players per team = 73
Number of players chosen for drug testing = 8
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
Number chosen per team / number of players per team
8 / 73 = 0.10959
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
P( being chosen at least 5 times)
USing binomial. Distribution
P(X =x) = nCr * p^x * (1-p)^n-x
To save computation time, we can use the binomial distribution calculator :
P(x≥5):p(x = 5) + p(x = 6) + p(x =7) + p(x = 8) +. P(x = 9) = 0.00136
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
Number who are chosen atleast 4 times :
P(x ≥ 4) = p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x = 8) +. P(x =9) = 0.0115
P(x ≥ 4) * number of players per team * nunber of teams in league
0.0115 * 73 * 25 = 20.9875
= 21 players
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?
use the substitution method to solve the system of equations.
x+y=11
-x=-y-9
Like you said, we need to use substitution to solve for y.
[tex]x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10[/tex]
Now that we've solved for y, we can plug in the number we got into one of the original equations. (You can choose either equation, but I will use the first one.)
[tex]x + 10 = 11\\\\x = 1[/tex]
Now we have the solution of this system.
[tex](1, 10)[/tex]
Help me in this question pleaseeeeeeeeeee
Answer:
10
Step-by-step explanation:
Miguel will circle 10 counters because 5/8 * 16 = 10.
Answer:
A. 10 is the correct answer.
Step-by-step explanation:
The equation is 5/8 x 16.
Here, there are 16 counters. This is also known as 2 rounds of 8, which is the denominator in our fraction. Since 8 is 1/2 times 16, 5 x 2, or 10, is the correct answer.
Hope this helps! :)
Thank u look at the pic
Answer:
If im not mistaken it's
Step-by-step explanation:
4a - No
4b - Yes
4c - Yes
4d - No
Answer:
4a. yes cuz 0.2 is the same as 1/5 just in a fraction form
4b. yes cuz your counting by 1's so 0.1 0.2 etc
4c. yes cuz 0.7 is 7/10
4d. no cuz your counting by 1's so 0.1 0.2 0.3 etc
hopefully this helped!
The ratio of the ages (in years) of two teachers is 8:9. The sum of their ages is 51. What is the age of each teachers?
Answer:
x = 24yrs and y = 27yrs
Step-by-step explanation:
Let the age of one of the teachers be x
Let the age of the other teacher be y
From the second sentence;
x + y = 51 ----------(1)
From the first sentence;
x/y = 8/9 ------------(2)
Making y the subject of formula in equation (1) as follows;
y = 51 -x -------------(3)
Substitute (3) into (2) as follows;
x/51- x = 8/9
Cross multiply as follows:
9*x = 8(51- x)
9x = 408 - 8x
Collecting like terms;
9x + 8x = 408
17x = 408
Divide both sides by 17;
x = 24 yrs
Substitute x = 24 into equation (3) as follows;
y = 51 - 24
y = 27 yrs
If 15 books cost $90, what is the unit price?
A
$5 per book
B
$6 per book
C
$9 per book
D
$10 per book
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
B
What is the circumference of a circle with a radius of 7 mm?
Answer:
8 = 4 +$
Step-by-step explanation:
ASAP HELP!!! A bag of marbles comes with 8 purple marbles, 12 red marbles, and 6 blue marbles. What is the ratio of RED MARBLES to ALL THE MARBLES?
Group of answer choices
12 to 26
12 to 8
12 to 6
12 to 14
Answer:
12 to 26
Step-by-step explanation:
u go get that answer lol
Answer:
12 to 26
Step-by-step explanation:
First you have to identify the amount of red marbles (which is 12)
Then combine the total amount of marbles (including the red marbles)
Which should give you 12 to 26.
I need this one fast
Answer:
c
Step-by-step explanation: