Answer:
Step-by-step explanation:
Let the 3 numbers be 4x , 5x and 6x
4x + 6x = 5x + 55
10x = 5x + 55 Subtract 5x from both sides.
5x 5x
5x = 55 Divide by 5
x = 55/5
x = 11
Therefore the numbers are
3*11 = 33
4*11 = 44
5*11 = 55
Terry has a number cube that is numbered from 1 to 6. She rolls the cube 50 times. Which equation can be used to predict the number of times that she will roll a number that is greater than 4?
(options in picture)
I have around 40 minutes so its not too much of a rush, Thank you! :)
Answer:
P(number greater than 4) = 1/6(50)
In numbers 1 to 6 only 5 and 6 are greater than 4.
Hence, the probability that she will get a number greater than 4 is 2 out of 6 or 2/6.
________________________________
The probability that she'll get more than 4 if she throws the dice 50 times–
The probability that she'll get more than 4 if she throws the dice 50 times–= 50 × 2/6________________________________
Hence, your answer will be–
Hence, your answer will be–P( Number greater than 4 ) = 2/6 (50)
A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a
geometric model for this trial and establishes p=0.2 as the probability of success.
What can be said about this model?
Select all that apply.
1)The company predicts 4 failures before a success.
2)Each trial is independent.
3)The probability is the same for each trial.
4)The probability that the vaccine will be effective is p = 0.8.
5)Success is defined as preventing the disease.
6)The company predicts 8 failures before a success.
7)Success is defined as p = 0.2.
Answer:
What can be said about the model are;
1) The company predicts 4 failures before success
2) Each trial is independent
3) The probability is the same for each trial
4) Success is defined as preventing the disease
Step-by-step explanation:
The probability of success for the vaccine, p = 0.2
Therefore, the probability that the vaccine is effective and prevents the disease = 0.2
A geometric distribution probability of success is given by the following formula;
P(X = x) = p × q⁽ˣ⁻¹⁾
The expected value, E(Y) = 1/p
The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4
Where;
q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8
q = 1 - p
∴ The e
The geometric model criteria are;
a) Each trial can only have one of two outcomes success or failure
b) The probability of success for each trial is fixed
c) The geometric distribution is concerned with finding how many trials are required to get one success
d) The trials are independent
Therefore, we have;
The number of failures the company predicts before a success = 4 failures
2) The trials are independent
3) Each trial has an equal probability
4) Success is defined by the effectiveness of the vaccine in the prevention of the disease
A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the cube not filled by the sphere? Round to the nearest cm³
A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³
The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.
The volume of sphere is found as;;
[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]
The volume of cube is found as;
Volume of cube = Length x width x height
Volume of cube =20 x 20 x 20
Volume of cube = 8000
The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.
V=8000 - 4188.790205
V = 3811.209
The volume of the cube not filled by the sphere is 3811.209.
Hence, option A is the correct.
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∠xangle, x and ∠ y ∠yangle, y are supplementary angles. ∠ y ∠yangle, y measures\ 33, degrees. What is the measure of ∠ x ∠xangle, x?
Answer:
If x and y are supplementary then x + y = 180
If angle y = 33 then angle x = = 180 -33
angle x = 147 degrees
Step-by-step explanation:
This graph represents the function f(x)=x2-4x+3/x2+ax+b
Qual O valor de (6-2,4) :0,6
Answer: (-1)º + (-6) : (-2) - 24 = 1+(-6): (-2) - 16 = 1+3 - 16 = %3| 4 - 16 = - 12
Espero ter ajudado bons estudos tenha uma Boa noite ❤
Brainlist PLz
What is the distance between the two points 5,3 and (1,0)?
Answer: The distance between (5,3),(1,0) is 25units square.
Step-by-step explanation:
So, I usually plot the points, and conect them first.
And then I draw a right triangle, so draw two line that conect to the line that we need to find the distance, and form a triangle. Make sure that the line from point (5,3)(1,0) is the Pythagorean triples.
Next, you count the units of the two line that makes a right angle. which is 4 units for the first line, and 3 units for the second.
Thirdly, you plug the numbers into the Pythagorean equation, which is a^2+b^2=c^2 (plug it into a and b, it doesn't matter which number for which letter)
4^2+3^2=c^2
16+9=c^2
25=c^2
[tex]\sqrt{25}[/tex] = [tex]\sqrt{c}[/tex]
c=25
My explanation is kinda confusing, sorry about that.
⚠️ Help I don’t know how todo this and I’d appreciate it if someone could help me ⚠️
What is the mean of 53,13,34,41 26,61,34,13,69?
There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the probability that she picks a not yellow marble and then a blue marble.
Answer:
P = 3/11
Step-by-step explanation:
There are:
6 red marbles
4 blue marbles
2 yellow marbles.
So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.
We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.
Now there are two cases.
The first marble is red and the second blue
the first marble is blue and the second blue
We need to find the probability in each case.
The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)
p = 6/12
Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)
q = 4/11
The joint probability is equal to the product of the individual probabilities, then:
P₁ = p*q = (6/12)*(4/11) = 2/11
And for the other case, we draw two blue marbles:
For the first draw, the probability is:
p = 4/12
And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:
q = 3/11
The joint probability is:
P₂ = (4/12)*(3/11) = 1/11
The total probability is then:
P = P₁ + P₂ = 2/11 + 1/11 = 3/11
Find the volume of the composite figure.
Answer: 290 cubic meters
Step-by-step explanation: First, find the volume of each figure. 3 x 6 x 5 = 90, and 5 x 5 x 8 = 200. 90 + 200 = 290
The end of summer Jamie bought a 325 surfboard for $123.50 but what percent was the surfboard mark down?
Answer:
62%
Step-by-step explanation:
Percentage markdown = [tex]\frac{inital price - new price}{initial price}[/tex] × 100
[tex]\frac{325 - 123.50}{325}[/tex] x 100
[tex]\frac{201.50}{325}[/tex] x 100 = 62%
A triangle has an area of 153.79 square centimeters and a base of 18.2 centimeters. What is the height?
Answer:
16.9
Step-by-step explanation:
Select all the true statements.
A. 2 + (−2) is equal to zero.
B. (−3) + (−4) is positive.
C. −2 − (− 2) is positive.
D. 5 + (−2) is positive .
E. 7 − (−10) is negative.
Answer:
A and D
Step-by-step explanation:
Answer:
A. 2 + (−2) = 2 - 2= 0, true.
B. (−3) + (−4) = - 3 - 4 = -7 is negative, False
C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.
D. 5 + (−2) = 5 - 2 = 3,is positive true.
E. 7 − (−10)= 7 + 10 = 17 is psoitive, false
options : A, D
Help me! The question is in the image
What is value of the expression (6^1/2)^2
Answer:
6
Step-by-step explanation:
Find the height of a cone of radius 5cm and slant height is 13cm.
Answer:
The height is of a cone is 18 cm
Answer:
12 cm
Step-by-step explanation:
Using Pythagoras theorem
Square of Height+Square of Radius=Square of Slant height
H^2+5^2=13^2
H^2+25=169
H^2=169-25
=144 cm
H=12 cm
Evaluate plzzz help am giving brainliest
Answer:
-2g+3ga
Step-by-step explanation:
go to math(way).com to find the answer pretty ezpz
I don’t know how to
do this, i need help!
Answer:
A, [tex]\frac{5\sqrt{74}}{74}[/tex]
Step-by-step explanation:
Cosine of an angle is equal to the adjacent side of that angle over the hypotenuse of the triangle. Since the adjacent side is 5, and the hypotenuse is √74, the value is 5 / √74.
However, we can't have radicals (square roots) in the denominator, so we multiply the top and bottom by √74 so that the radical goes on the top.
One angle of an isosceles triangle measures 132º. Which other angles could be in that
isosceles triangle? Choose all that apply.
An isosceles triangle is a triangle that has two sides and thus two angles the same amount. Triangles have 180 degrees, so if we subtract:
180 - 132 = 48, we do not have enough degrees to have a second 132° angle That leaves the 48° to be the angles to be split:
48 / 2 = 24°
So your answer is going to be 130-25-25 angle triangle.
*Just for reference, an example of an isosceles triangle having two possible answers? Let's say the given degree is 50o. Thus it could be one of the mirrored degrees (80-50-50), or it could be the non-mirrored angle (50-65-65)
Answer:
The other two angles of isosceles triangle will be 24° each.
Step-by-step explanation:
An isosceles triangleAn isosceles triangle is a triangle that has two sides and thus two angles opposite to the equal sides will be same .
Also Triangles have sum of all angle to be 180° , so if we subtract the given angle we get
180° - 132° = 48°,
So the total sum of angle remaining for other two angles will be of 48°
Therefore the sum of each angle will be
48° / 2 = 24°
So all angles of the isosceles triangle will be 132°-24°-24°angle triangle.
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Where is 42% on the number line?
Answer:
Step-by-step explanation:
the first tick mark
Answer:
2nd Division
Step-by-step explanation:
Given :-
A number line , divided into 4 parts markedfrom 0% to 100%.And we need to tell where does 42% lies on the number line . So , since there are 4 equal divisions , therefore each division has ,
[tex]:\implies[/tex] Each division = 100% ÷ 4
[tex]:\implies[/tex] Each division = 25%
So after two divisions the marking will be 50%. Therefore , 42% lies in the second division .
Hence 42% lies in the second division .1 and 2 are complementary angles. The measure of 1 is 62 degrees. The measure of 2 is 2x degrees. Find the value of x. The figure is not drawn to scale. The value of x is ?
How do i do this, i need to find an answer fast
Answer:
y = 5√3
x = 10√3
Step-by-step explanation:
From the given sides
Adjacent = 15
Opposite = y
Hypotenuse = x
Angle of depression = 30degree
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 30 = y/15
y = 15tan30
y = 15(1/√3)
y = 15√3/3
y = 5√3
Similarly
cos theta = adj/hyp
cos 30 = 15/x
x = 15/cos30
x = 15 /√3/2
x = 30/√3
x = 30√3/3
x = 10√3
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 5:00
Answer:
It makes 150°
Step-by-step explanation:
So, I'll explain on the document.
Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes the equation y = 8x to determine how much money, y, she earns from selling x candles. What does the independent variable represent in this situation? A The number of scents B The number of candles Sallie sells C The cost of each candle Sallie sells D The total amount of money Sallie earns selling candles
Answer:
B The number of candles Sallie sells
Step-by-step explanation:
Given the equation :
y = 8x
y = amount earned ; x = number of candles sold
Cost per candle = 8
The Independent variable is the number of candles sallie sells as it is this variable which determines the amount which sallie will earn from candle sales (dependent variable). In essence, the variable which determines or affects the dependent variable is the independent variable.
Find the values of x and y
Answer:
x = 54, y = 63
Step-by-step explanation:
117° and the left base angle are adjacent and sum to 180°
base + 117° = 180° ( subtract 117° from both sides )
base = 63°
Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63
and x = 180 - (63 + 63) ← sum of angles in a triangle
x = 180 - 126 = 54
In the diagram below, 'AB is parallel to cd. What is the value of y?
60 jdfjbdjdjdjd ah inebauwkwhiwiwnais
Answer:
60
Step-by-step explanation:
Caculate the temperature change if 3456 J of thermal energy was transferred into 3.0 kg of lead? The specific heat of lead is 128 J/kgo C.
Answer:
9°C
Step-by-step explanation:
quantity of heat energy absorbed is expressed as;
Q = mcΔt
m is the mass
c is the specific heat capacity
Δt is the change in temperature
Substitute the given values
3456 = 3 * 128 Δt
3456 = 384Δt
Δt = 3456/384
Δt = 9°C
Hence the temperature change is 9°C
hii! please help asap. i’ll give brainliest
Answer: B
Step-by-step explanation:
please help due in 10 minutes
Answer:
Mostly likely 12
Step-by-step explanation:
The higher the age, the more pages...
After a age you can see it goes up half of a row in the pages...
It is most likely 18 or 12...
More likely 12