Solution :
Let X denotes the number of the households tha have a cable TV.
Percentage of household that have a cable TV = 85 %
[tex]$X \sim \text{Binomial}(6, 0.85)$[/tex]
Here, we can see that each of the observations is independent and the number of the observations is fixed, n.
The probability of the success P is the same for each of the outcomes.
Therefore,
[tex]P(X=4)= \binom{6}{4}0.85^40.15^2[/tex]
= 0.08324
There are 14 fish in the fish tank. Five-sevenths of
them are goldfish. How many goldfish are in the
tank?
Answer:
10
Step-by-step explanation:
Math grade 9, can anyone solve it
Answer:
a) Acceleration = 2.4 m per seconds²
b) Distance traveled = 132 m
Step-by-step explanation:
a). Acceleration of an object is defined by the equation,
v = u + at
Here, v = Final speed
u = Initial speed
a = Acceleration
t = Duration Or time
From the graph attached,
Between t = 0 and t = 5 seconds,
v = 12 meter per second
u = 0
t = 5 seconds
B substituting values in the equation,
12 = 0 + a(5)
a = [tex]\frac{12}{5}[/tex]
a = 2.4 m per seconds²
b). Equation representing distance traveled by an object,
v² = u² + 2as
Here, v = Final speed
u = Initial speed
a = Acceleration
s = Distance traveled
By substituting these values in the given equation,
1). Between t = 0 to t = 5 seconds,
(12)² = 0 + 2(2.4)s
s = [tex]\frac{144}{4.8}[/tex]
s = 30 m
2). Between t = 5 to t = 12 sec
Car moved with a constant speed (Acceleration = 0)
Distance traveled = Speed × Time
= 12 × 7
= 84 m
3). Acceleration of the car between t = 12 sec to t = 15 sec
By substituting the values in the equation,
v = u - at
0 = 12 - a(3)
a = 4 meter per seconds²
Distance traveled in this duration,
v² = u² - 2as
0 = (12)² - 2(4)s
144 = 8s
s = [tex]\frac{144}{8}[/tex]
s = 18 m
Therefore, total distance covered by the car = 30 + 84 + 18
= 132 meters
8
4
A gold bar is similar in shape to a rectangular prism. A gold bar is
7 1
approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,
about how much is one gold bar worth? Use the formula w 11.15n, where w
is the weight in ounces and n=volume in cubic inches, to find the weight in
ounces. Explain how you found your answer.
Answer:
[tex]Worth = \$284258.1[/tex]
Step-by-step explanation:
Given
[tex]Dimension: 7in\ * 3in\ * 1in[/tex]
[tex]Value = \$1214/oz[/tex] ---- value of Gold
Required
The worth of 1 gold bar
First, calculate the volume (n) of the gold bar
[tex]n = 7in * 3in * 1in[/tex]
[tex]n = 21in^3[/tex]
Next, calculate the weight of the gold bar using:
[tex]w = 11.15n[/tex]
[tex]w = 11.15 * 21[/tex]
[tex]w = 234.15oz[/tex]
Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.
[tex]Worth =Value * w[/tex]
This gives:
[tex]Worth = \$1214/oz * 234.15oz[/tex]
[tex]Worth = \$1214 * 234.15[/tex]
[tex]Worth = \$284258.1[/tex]
help what's 1x1+9x20
Answer:
The answer is 181
Step-by-step explanation:
PEDMAS
1 x 1 + 9 x 20
1 x 1 = 1
1 + 9 x 20
9 x 20= 180
1+180
which equals 181
Answer:
181
Step-by-step explanation:1x1=1 9x20=180+1=181
Thats your answer my fellow brains
The height above the ground of a passenger on a Ferris wheel t minutes after the ride begins is modeled by the differentiable function H, where H(t) is measured in meters. Which of the following is an interpretation of the statement H'(7.5) = 15.708?
(A) The Ferris wheel is turning at a rate of 15,708 meters per minute when the passenger is 7.5 meters above the ground.
(B) The Ferris wheel is turning at a rate of 15.708 meters per minute 7.5 minutes after the ride begins.
(C) The passenger's height above the ground is increasing by 15.708 meters per minute when the passenger is 7.5 meters above the ground.
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
(E) The passenger is 15.708 meters above the ground 7.5 minutes after the ride begins.
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = [tex]$\frac{d(H(t))}{dt}$[/tex]
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.
What is Limit of g (x) as x approaches 1, if it exists?
0
7,000,000
700,000,000
DNE
Answer:
7,000,000
Step-by-step explanation:
Limit of a function:
The limit of a function is finding looking at it's lateral limits.
If the lateral limits are equal:
The limit exists.
[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]
If lateral limits are different:
That is:
[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.
In this question:
To the left of 1, that is, 0.9999....
[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]
To the right of 1, that is, 1.0001...
[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]
Since the both limits are the same, the limits exists and it's value is of 7,000,000.
Answer:
D
Step-by-step explanation:
It shows it in the quwestions image
Someone please explain!
Answer:
Let the number of beads = x
Sum of the ratio = 11
a) fraction of yellow beads :
[tex]\frac{11}{15} \ of \ x \\[/tex]
b) given there are 75 beads , x =75
# of yellow beads =
[tex]\frac{11}{15}*75 = 55\\[/tex]
#of green beads =
[tex]\frac{4}{15} *75 = 20[/tex]
Number of green beads = 20
c) After adding more beads.
Given yellow beads = 3 times as many green = 3×20 = 60
Gabby added more yellow beads.
Need help ASAP. Don’t understand how to do this
Answer:
0.088
Step-by-step explanation:
Given two cylinders
Volume of one = 64cm^3
Volume of the other = 729cm^2
Scale factor = Volume of the small/Volume of the large
Scale factor = 64:729
Scale factor = 0.087
UYK
♡ The size of a rhombus is half the longer diagonal.
The height of the ronbus is 3cm
and
the area is 21cm². Find the length of the longer
diagonal
Answer:
Step-by-step explanation:
Area = height × side
21 = 3 * side
side = 7 cm
The side of a rhombus is half the longer diagonal
longer diagonal = 2*side =2*7=14cm
NO LINKS!!!! Find each measurement indicated. Round your answer to the nearest tenth. Part 2c
9514 1404 393
Answer:
BC = 24.0AC = 26.0m∠B = 73.4°m∠B = 30.0°Step-by-step explanation:
The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.
This post has 2 kinds of problems.
1) 2 angles and the side between them are given.
2) 2 sides and the angle opposite the longest is given.
For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.
For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.
Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.
_____
1) BC = 24.0
2) AC = 26.0
3) m∠B = 73.4°
4) m∠B = 30.0°
__
In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.
For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))
_____
Additional comment
In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.
a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece
Answer:
6.25 meters
Step-by-step explanation:
25/4 = 6.25
Length of each cut piece is 6.25 m.
What is division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given
A length of 25 meters cut the string in 4 pieces of equal length.
= [tex]\frac{25}{4}[/tex]
= 6.25
Length of each cut piece is 6.25 m.
Find more information about division here
https://brainly.com/question/5805897
#SPJ2
Ajay has equal numbers of rock songs and pop songs loaded on his personal music player. He has it set to play songs plz helpp...on a random shuffle. Suppose Ajay is designing a simulation that could be used to estimate the probability that the next three songs to play are all alternative rock songs.
Which simulation design could Ajay use to estimate the probability?
O A. Random digits Let 1, 2, 3, 4,5rock Let 6,7,8,9,0 pop Select three rondom digits. Repeat
O B. Number cube Let 1,2 = rock Let 4,5 - pop Roll cube three times. Repeat
O C. Number cube Let 1 = rock Let 2 = pop Roll cube three times. Repeat
O D. Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat
Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat.
How to find the simulation designThe number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.
Hence we are going to have a case of 1/3. This is what can then be used to model the probability.
Read more on simulations here:
https://brainly.com/question/15892457
#SPJ1
Help me plz I did the first problem
Answer:
b. 30 > 2d
15 > d
c. 15/f < 5
15 < 5f
5 < f
d. 42 [tex]\leq[/tex] 50 - m
42 + m [tex]\leq[/tex] 50
m [tex]\leq[/tex] 8
Solve Equations: 8x + 260 = -5x + 650
Answer:
8x+260=-5x+650
8x+5x=650-260
13x=390
x=390/13
x=30
Step-by-step explanation:
Step-by-step explanation:
8x+5x=650-260
13x=390
X=30
If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.
Answer:
[tex](-5,-4)[/tex]
Step-by-step explanation:
Given
[tex]P = (5,4)[/tex]
Rotation: 180 degrees counterclockwise
Required
P'
Rotation: 180 degrees counterclockwise
The rule is:
[tex](x,y) \to (-x,-y)[/tex]
So: [tex]P = (5,4)[/tex] becomes
[tex](5,4) \to (-5,-4)[/tex]
3350 5654 10.. can anyone guess the last two numbers?
What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?
Answer:
Y values will stay the same
Step-by-step explanation:
Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged
5 gal- 1 qt = _____ gal ______ qt
Indra completed 85% of a Multiple Choice Test in Science. She has 3
questions to complete.
(a) How many questions are there in the test?
Answer:
20 questions
Step-by-step explanation:
There is 15% of the test left and 3 questions
15/3 = 5
85/5 = 17
17+ 3 = 20
I don’t understand how to solve this. Please explain the steps. Thanks.
Answer:
D
Step-by-step explanation:
When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:
x^(3/5)
This would be written as:
[tex]\sqrt[5]{x^3}[/tex]
Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.
Because the denominator is 5, we find the 5th root:
[tex]\sqrt[5]{x^4}[/tex]
This matches none of the answers shown, so the answer is none of the above or D.
Answer:
D
Step-by-step explanation:
The answer would be 5 square root x^4
See Image Below:)
If f(x) = x - 9 and g(x) = -6x - 3,
which statement is true?
Click on the correct answer.
-1 is in the domain of fºg.
-1 is not in the domain of fºg.
9514 1404 393
Answer:
-1 is in the domain of fºg
Step-by-step explanation:
Both functions are odd-degree polynomials (as written here), so both functions have a domain and range of "all real numbers."
-1 is in the domain of f(g(x))
HELP! can anyone help? I’m pretty stuck and the answer isn’t 2,700.. I’ll give Brainly please :(
Find the length of missing side BC and AC.
Best answer gets brainliest!!!
Answer:
b = 7.56
C = 9.24
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is
180 degrees.
A+
90+55=180
A=35
Then find c
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp or Cos(55) = 5.3 / c
re write as
C = 5.3 / cos55
This gives you c = 9.24
Then use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]
Use Pythagorean Theorem to determine if the three
given sides create a right triangle.
15 m, 8 m, 17 m
Show your work
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
8²+15²=17²
64+225=289
289=289 YES, it is a right triangle
Hector has 7/8 of a pound of leftover Halloween candy. He plans on giving it away to his friends. If he plans on giving each person 1/16 of a pound, how many people can he give to? Show your work.
Answer: 14
Step-by-step explanation:
1/16x = 7/8
x = 7/8*16/1 = 14
He can sell his candy
Give away to people.
Help with this question!Please
Answer:
x = 14 for the first one, x = 60 for the second one
Step-by-step explanation:
Step-by-step explanation:
We know the measure of a straight line is 180° . So that ,
> 5x - 10 + 120 = 180
> 5x = 60 + 10
> 5x = 70
> x = 70/5
> x = 14
Solution 2 :-
> x + 50 + 70 = 180
> x = 180 - 120
> x = 60
help ugent!
12 + 2 + 2 + 2 + 2 + 2 ^ 2=
[tex]24.[/tex]
Step-by-step explanation:
[tex]12 + 2 = 14.[/tex]
[tex]14 + 2 = 16.[/tex]
[tex]16 + 2 = 18.[/tex]
[tex]18 + 2 = 20.[/tex]
[tex]20 + {2}^{2} = 24.[/tex]
Note:- 2² = 2×2 = 4. So, 2² = 4.
Answer:
24
make sure you calculate the answer next time!
id also appreciate help on this one ^^
Answer:
The area of the given figure is 87.55 cm square.
What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40
Answer:
a. 3/4
Step-by-step explanation:
6:8
=6/8
=3/4
Hope it Helps
what is matter and it function
Answer:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.
Step-by-step explanation:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.