Answer:
1
Step-by-step explanation:
Answer: c = 14.287 approximately
==========================================================
Work Shown:
Refer to the diagram below. Note how side a is opposite angle A, and side c is opposite angle C.
tan(angle) = opposite/adjacent
tan(A) = a/c
tan(57) = 22/c
c*tan(57) = 22
c = 22/tan(57)
c = 14.2869670503452
c = 14.287
This value is approximate. Make sure your calculator is in degree mode
Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:
Answer:
a) P(X=1) = 0.302526
b) P(X=5) = 0.010206
c) P(X=3) = 0.18522
d) P(X≤3) = 0.92953
e) P(X≥5) = 0.010935
f) P(X≤4) = 0.989065
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Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.
What is variance of binomial distribution?
Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.
Given random variable x follows binomial distribution.
n = 25
p = 0.85
q = 1 - 0.85 = 0.15
variance = npq = 25 * 0.85 * 0.15 = 3.1875
Learn more about variance of binomial distribution here
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A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.
Answer:
At least 18 students scored below a 67.
Step-by-step explanation:
Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :
55, 67, 73, 81, 98
Minimum = 55
Q1 = 67
Q2 = 73
Q3 = 81
Maximum = 98
Q1 = first quartile = 25%
Atleast 25 % scored below 67 (True)
25% of 37 students = 0.25 * 37 = 9.25
Atleast 9 students scored below 67 (True)
Median, Q2 = 50%
Score between Q2 and Q1 = 50% - 25% = 25% ;
Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)
Third quartile = 75%
Percentage above third quarterile = (100 - 75)% = 25%
Hence, atleast 25% scored above 81 (True)
The false statement is At least 18 students scored below a 67.
Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen
Answer:
modern kitchen=sandwich,Chinese food etc.
traditional kitchen = roti,sabji indian food etc.
Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O
Answer:
The last table is the answer
Step-by-step explanation:
The last table has a constant slope of -3, hence it represents a linear function.
Table of functionsFrom the given table, we need to determine which of the table is a linear table.
To determine that, we must check which of the table has a constant rate of changeLooking at the last table;
Slope = -4-(-2)/2-1
Slope = -4+1/1
Slope = -3
Since the last table has a constant slope of -3, hence it represents a linear function.
Learn more on function here: https://brainly.com/question/3632175
Find the slope from the graph.
Answer:
1/6
Step-by-step explanation:
Answer:
-2/3
Step-by-step explanation:
rise=-2
run=3
rise/run(slope)=-2/3
Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?
Answer:
.
Step-by-step explanation:
What is the slope of y = -x + 7?
Answer:
The slope is -1
Can you please help me
Step-by-step explanation please
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
7. What is the DEGREE of the following binomial:
3x-2
The tape diagram represents an equation. w 1.3 2.7
Answer: 2/3
Step-by-step explanation:
Answer: w + 1.3 = 2.7
Step-by-step explanation: i did it in khan academy ∩(︶▽︶)∩ HOPE IT HELPS
Please help me with steps
Answer:
224 cm³
Step-by-step explanation:
Decompose the figure into two cuboid.
Volume of the bigger cuboid = L*W*H
L = 7 cm
H = 7 cm
W = 4 cm
Volume of the bigger cuboid = 7*7*4 = 196 cm³
Volume of smaller cuboid = L*W*H
L = 7 cm
W = 2 cm
H = 2 cm
Volume of smaller cuboid = 7*2*2 = 28 cm³
✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³
can someone please help me
Step-by-step explanation please
Answer:
x=3
Step-by-step explanation:
AB+BC>AC
2x + 3 + x + 1 > x + 10
we correct like terms
2x + x + 3 + 1> x+ 10
3x + 4> x + 10
3x - x > 10-4
2x > 6
divide both sides by 2
2x÷2 > 6÷2
x = 3
x/(x-2)*(x+2)*(x-1) into partial fraction
no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?
Answer:
((-1 + x) (2 + x) X)/(-2 + x)
Step-by-step explanation:
1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)
2 (x(x+1)-2)x)/(x-2)
3 (x(xx+x)-2x)/(x-2)
4(x^(2)x+xx-2x)/(x-2)
5 (-2 + x + x^2) X)/(-2 + x)
Root
X = 0 , X-2=0
Roots
X=-2
X=1
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.
How long is each piece?
2 inches
3 inches
4 inches
6 inches
Answer:
3 inches
Step-by-step explanation:
Answer:
3 in
Step-by-step explanation:
1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?
8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?
PLEASE HELP
Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.
Notice that I expressed cost in terms of cents so
that we can avoid having to deal with decimals.
In our second equation, 4 slices of pizza and
10 sodas cost $37, that's 4p + 10s = 3700.
Now let's rewrite our two equations on top of one another.
8p + 5s = 3650
4p + 10s = 3700
To solve this system of equations, I would use addition.
I would multiply the bottom equation by -2
to create a situation where our p's will cancel.
When we do that, we get -8p - 20s = -7400.
Now rewrite the equations once again ~
8p + 5s = 3650
-8p - 20s = -7400
Now add the equations together.
So we have -15s = -3,750.
Divide both sides by -15 and s = 250.
Remember that I expressed cost in terms of cents so
since s = 250, it really means that a soda is $2.50.
Now just plug an s back in for the s in one equation.
When we do this, we find that p = 300.
So a pizza is $3.00
Which equation has the steepest graph?
Answer Choices:
y = 2x + 4
y = -4x – 1
y = 1/2 x + 10
y = 5x + 2
Answer:
y = 5x + 2
Step-by-step explanation:
in order to find if a line is steeper, you need to look at the slope
the greater the slope, the steeper the line will be
y = 2x + 4
y = -4x - 1
y = 1/2x + 10
y = 5x + 2
out of all of these options, y = 5x + 2 has the largest slope. this means that it is the steepest one.
One fifths the difference between 2/5 and 1/2
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10
1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5
/10 - 4/10 =
1/10 / 5 =
1/50
Hope that helps!
How much will it cost Tom if he used his cell
phone for 850 minutes in one month?
Tom's basic cell phone plan charges
$79.99 for service plus $0.18 per minute
beyond the included 800 minutes in the
plan. How much will it cost Tom if he used his cell phone for 850 minutes in one month?
Answer:
88.99
Step-by-step explanation:
his plan includes 800 minutes for 79.99, all we need to do is calculate the cost of the extra 50mins he used and add it to 79.99. this is ((850-800)*0.18) +79.99 and this is equal to 88.99
What are the coordinates of the x-intercept of the line 3x - 2y = 12?
Answer:
(4,0)
Step-by-step explanation:
PLEASE HURRY!
Type the correct answer in each box.
The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.
Alice’s Age in Years
(a) Martha’s Age in Years
(m)
28 6
33 _
37 15
41 19
48 _
This equation relates Alice’s and Martha's ages in years.
Alice’s age (a) = Martha’s age (m) + _
Answer:
33-11
48-26
Alice’s age (a) = Martha’s age (m) + 22
Step-by-step explanation:
In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.
28 - 6 = 22
To make sure we are correct we would do another problem.
37 - 15 = 22
So in order to find Martha's age when Alice was 33, we would subract 22.
33 - 22 = 11
Same when Alice was 48.
48 - 22 = 26
And the last equation is asking the difference between them, which would be 22.
Answer: 11 and 26
Step-by-step explanation:
hope this helps :)
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
Can someone explain to me how to do this problem?
x • 1 + x/1 =
The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?
Answer:
75 adults
195 total tickets
Step-by-step explanation:
8:5
120:x
using binomial expansion evaluate (0.99)^6
Answer:
.92367 I think. I'm I'm wrong I'm sorry
please tell fast plzzzzzz
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
Find the missing lengths or missing angles
Answer:
hj=6
because it's angle are equal and equilateral triangle have equal angles so, the length is 6
Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!
What is the length of the longest side of a triangle that what is the length of the longest side of a triangle that has vertices at (-4,2), (-4,6), and (4,2)?
O A.
415 units
OB.
573 units
OC.
73 units
OD.
V90 units
Answer:(-4,6)
i dunno it in units lol sowwy
Step-by-step explanation:
Which operation should you perform first when evaluating the expression:
3 to the power of 2+2
Answer: the power so ans should be 81
Step-by-step explanation: