Answer: 10 /% decrease
Step-by-step explanation:
1. original price less new price 700 - 630 = 70
2. divide answer by original price 70/700 = 1/10 x 100 = 10%
3. decrease because the new price is less than original price
A fair coin is flipped 3 times. Let X be the number of heads in the 3 tosses.
(1) Find the pmf for X;
(2) calculate the expected value of X.
Answer:
1)
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
2)
E(X) = 1.5
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it is heads, or it is tails. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is [tex]E(X) = np[/tex].
A fair coin is flipped 3 times.
Fair means that it is equally as likely to be heads or tails, so [tex]p = 0.5[/tex].
3 times means that [tex]n = 3[/tex]
(1) Find the pmf for X;
Probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(2) calculate the expected value of X.
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
PLEEEEASSSSE HELP MEE
Answer:
x = 22.2
Step-by-step explanation:
Let's set up this problem using cosine law:
x^2 = a^2 + b^2 -2abcos110
where a = 12, b = 15
x^2 = (12)^2 + (15)^2 - 2(12)(15)cos110
= 144 + 225 - 360(-0.342)
= 492
x = 22.2
ASAP HELP NE PLEASE PLEASE PLEASE ASAP I WILL GIVE 100 points
what is the range of the data set?
Answer:
The answer is C, 18 hours.
Help me graph this plssss!!! I’d really appreciate it!
Answer:
Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.
Step-by-step explanation:
Answer and step-by-step explanation:
Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.
y = -1/2x + 3
The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!
2
(a) Simplify
2a x 56
Answer:
28
Step-by-step explanation:
a = 28
Find the sum of the first 10 terms of the following sequence. Round to the nearest
hundredth if necessary.
200,
-160,
128,...
Answer:
S_n = 99.18
Step-by-step explanation:
The series is;
200, -160, 128...
Now,the common ration would be gotten by dividing two consecutive terms i.e. a2/a1, a3/a2, a4/a3 e.t.c.
Now,
r = -160/200
r = -4/5
Formula for sum of geometric series is;
S_n = a1(1 - rⁿ)/(1 - r)
Where a1 is the first term and n is the number of terms in the series.
In this case;
a1 = 200
n = 10
Thus;
S_n = 200(1 - (-4/5)^(10))/(1 - (-4/5))
S_n = 99.18
A 108 ft tall lighthouse is trying to find a boat stranded at sea that
radioed in being 200 ft away. At what angle does the lighthouse need
to point it's spotlight downward to spot the boat? Round to the nearest
degree
Answer:
28.37 degrees
Step-by-step explanation:
tan x = 108/200 = 0.54
x = 28.37 degrees.
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
The first one is 5.075
The second one is 3.15
The third one is 5.875
The fourth one is 7.55
If this helped, I would appreciate it if you marked me brainliest! (°◡°♡).:｡
Answer:
2.03 x 2.5 = 5.075
1.4 x 2.25 = 3.15
2.35 x 2.5 = 5.875
3.02 x 2.5 = 7.55
What is the formula to the area of a triangle?
Answer:
(Base x height) x 1/2
Step-by-step explanation:
We do this because a triangle is emulating a rectangle with Base x Height. However, a triangle's shape is less conventional than a standard square or rectangle, thus the division by 2.
Answer:
A=bh/2
Step-by-step explanation:
For a right triangle with base b and a height h, its area is A=bh/2
my son is 12 years old and his brother is 6 years time Johnson will be twice as old as his brother how old are they now
Answer:
12
Step-by-step explanation:
Brainly pls
Answer:
12 or 24
Step-by-step explanation:
Son 1 is 12, Son 2 is 6. In 6 years, Son 2 will be 12. However in 12 years, Son 1 will be 24. Your question isn't worded the best for me to figure
out which is supposed to be.
Suppose you slice a square pyramid such that the plane just touches the vertex. What is formed at the
intersection of the plane and the pyramid?
a. point
b. square
c. triangle
d. quadrilateral
Answer:
c
Step-by-step explanation:
The vertex is like the top point of the pyramid. If we cut in that direction, we essentially cut the pyramid in half. This makes a triangle crossection
Answer: For me, triangle isn't the correct answer. For me the correct answer is a point
Step-by-step explanation:
11 ft
15 ft
13 ft what is the volumn
Answer:
2145 ft^3
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals 26.
X + 4y = 54
Enter the correct answer.
Answer:
y = 7
Step-by-step explanation:
hope this helps
Find m angle 1.
A 100
B 25
C 80
D 105
Answer:
C. 80
Step-by-step explanation:
m angle 1 = ½×(105+55)= ½× 160= 80°
Which equation best represents the relationship between x and y in the graph
A y=2x-6
B y=2x+3
C y=1/2x-6
D y= 1/2x + 3
what is the cordinates of point A
no flile or link or i will be report you
Answer:
Um it’s (1,0) right?
Step-by-step explanation:
What is the median (middle number) in the data set? 48, 52, 57, 61, 64, 72, 76, 77, 81, 85, 88
Step-by-step explanation:
48, 52, 57, 61, 64, 72, 76, 77, 81, 85, 88
the middle number is 72
A distribution center makes deliveries to food stores on a weekly basis. On the average, 50 stores are served daily. A typical store places an order for 10,000 lb of various products. 4 store orders can be placed on a delivery truck. Trucks are loaded in 5 hours. The distribution center operates an 8 hour shift. How many truck doors are needed?
Answer:
3 doors needed
Step-by-step explanation:
The computation of the no of trucks doors that are needed is shown below:
= serve daily ÷ no of store orders ÷ no of store orders
= 50 ÷ 4 ÷ 4
= 3 doors needed
First we divided the serve daily from the no of store orders and then the value that comes so it would be divided by no of store orders again so that the no of truck doors could come
How many tons are equal to 42,000 pounds?
A 2,100 tons
B 210 tons
C 200 tons
D 21 tons
Write an equation of the line with the given slope and y-intercept: m = -5, b = 4
Answer:
y=-5x+4
Step-by-step explanation:
The equation of the line is y=mx+b. We know what m is and what b is. Therefore, we can plug them into the equation. The line will be y=-5x+4. This is the equation of the line.
If this helps please mark as brainliest
-4(6-b)=4 show work plz
Answer:
b= 7
Step-by-step explanation:
A line passes through the points (-1,6) and (3,-3). Write the equation of the line in slope-intercept form.
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (where x = 0).
Use the given points, substituted into the standard equation, to get 2 equation with m and b as unknowns. Solve this pair of equations for m and b, using the standard methods.
Please give me a like, rate and Brainliest Please and Thank you!
rewrite e^{x}= y into logarithmic form.
Answer:
[tex]x=\ln{y}[/tex]
Step-by-step explanation:
The natural logarithm function is the inverse of the natural exponential function.
[tex]\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}[/tex]
are equivalent.
Can anyone help me but also explain this !
Crystal has $9 to spend on lunch and an afternoon snack. If lunch costs three times as
much as the snack, which inequality best represents the situation if s represents the
money that can be spend on a snack?
A. 3s + s less than or equal to 9
B. 3s greater than or equal to 9
C.3s + s greater than or equal to 9
D.s less than or equal to
Answer:
The answer is C as money needed to spend on lunch is 3times on snacks so if we let money on snacks as s then lunch will be 3s.
Step-by-step explanation:
And the total money he has is $9 so
3s+s = 9
The inequality will be 3s + s greater than or equal to 9. The correct option is C.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.
It is given that Crystal has $9 to spend on lunch and an afternoon snack. If lunch costs three times as much as the snack.
The answer is C as the money needed to spend on lunch is 3 times on snacks if we let money on snacks as s then lunch will be 3s. And the total money he has is $9.
3s+s = 9
Therefore, the inequality will be 3s + s greater than or equal to 9. The correct option is C.
To know more about inequality follow
https://brainly.com/question/24372553
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A. True O B. False
hope you have a good day
Answer:
true
Step-by-step explanation:
There are 680 restaurants in downtown Metropolis. 20% of them serve pizza. How many of them serve pizza?
Answer:
136 restaurants
Step-by-step explanation:
Answer:
Step-by-step explanation:
136 pizzas
What is the measure of angle c?
Answer:
83.5
Step-by-step explanation:
x + 4x + 5x -13 =180 The sum of the interior angles of a triangle is 180
10x - 13 = 180 Combine like terms
10x = 193 Add 13 to both sides
x = 19.3 degrees.
Substitute 19.3 for x in the expression for C
5x -13
5(19.3) -13
83.5
Marty’s water bottle holds 4 cups of liquid. He has 24 fl oz of water to put into the bottle. Will all 24 fl oz fit in the bottle?
Answer:
yes all fl oz will fit in the bottle
Step-by-step explanation:
1 cup = 8 fl oz
4 cups = 32 fl oz
you have still space 8 fl oz
Yes, all 24 fl oz will fit in the bottle.
What are Units ?To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple.
We need to convert both the capacity of the water bottle and the amount of water in fluid ounces to the same unit before we can compare them.
1 cup = 8 fluid ounces, so 4 cups = 32 fluid ounces.
Therefore, the water bottle can hold 32 fluid ounces of liquid.
Marty has 24 fluid ounces of water to put into the bottle.
Since 24 fluid ounces is less than 32 fluid ounces, all 24 fluid ounces of water will fit into the water bottle with room to spare.
To know more about Units check:
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