Answer:
0.35
Step-by-step explanation:
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)
X is the number of pitches thrown. Therefore:
P(X < 3) = P(X = 1) or P(X = 2)
The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35
The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35
Answer:
.35
Step-by-step explanation:
Elijah uses 2 pints of stain on each table that he makes . How many tables can he paint with 1 gallon of stain ? sets
Answer:
4 sets
Step-by-step explanation:
1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.
By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.
Decrease £248 by 30%
Answer:
173.6
Step-by-step explanation:
0.7(248)
173.6
Answer:
£ 173.6
Step-by-step explanation:
£248 *0.30= 74.4
£248 -74.4 =173.6
A boy was watching the show standing on the ground. A jet fighter when 1000m high passes vertically above an other jet fighter at an instant, when the angle of elevation of the two jets from the boy are 60 degrees and 45 degree respectively. At what distance (vertical) the pilots were flying the jets at that instant
Answer:
The pilot above at 1000m above ground and pilot below 742.23 metres above ground
Step-by-step explanation:
Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air
Are the mean, median and mode of a list of numbers equal or no? Please explain!
Answer:
nope!
Step-by-step explanation:
mean= average, total of numbers/ amount of numbers
median- if all the numbers were in a line what would be in the middle
mode-most reoccuring number- remember it cos it rhymes with most :)
hope this helps :)
can u pls give brainliest? :)
Answer:
No
Step-by-step explanation:
when you have a list of numbers:
The mean is all of the numbers added up and then divided by the number of numbers.
The median is "the middle number" So line them up in numerical order and find the middle number.
The Mode is the biggest number subtracted from the smallest number.
Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? 1. List out the sample space for the experiment and then calculate the theoretical probability. _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________
I belive,
The experimental probability could be more, the same or less than the theoretical probability of rolling a 1 (which is 1/6).
The larger your sample (i. e., as you go beyond 60 tosses), the closer the two different probabilities are likely to be. (Think: Law of Large Numbers).
Answer:
Step-by-step explanation:
Jsiehsjsndj im here to get you a brainliest
Calculate 85% of 2 500m
Answer:
Step-by-step explanation:
85% of 2500 m
= 85/100 × 2500 = 2125 m
hope this helps
plz mark it as brainliest!!!!!!
Answer:
2125
Step-by-step explanation:
85% times 2500
I NEED EVERY BODIES HELP ASAP!!!!!!!!!! the question is 15.6/-3
Answer:
-5.2
Step-by-step explanation:
15.6/-3= - 15.6/3= -5.2
Given that ABCD is a rhombus, find the value of x.
Answer:
C
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
Thus the angle at the intersection of the diagonals is 90°
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180, that is
90 + x + x + 40 = 180
2x + 130 = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25 → C
The value of x is 25.
What are some of the properties of a rhombus?
All four sides are equal.Diagonals bisect each other at 90°.Given
ABCD is a rhombus,
∠CAD = x°,
∠BDA = (x + 40)°.
Find the equation in x
Let the point where the diagonals intersect be E.
Then, using the property of the rhombus ∠AED = 90°.
We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,
∠AED + ∠BDA + ∠CAD = 180°
⇒ ∠BDA + ∠CAD = 180° - ∠AED
= 180° - 90° = 90° (∠AED = 90°)
Put the given values of these angles,
(x + 40)° + x° = 90°.
This is the equation to be solved to obtain x.
Solve for x
(x + 40)° + x° = 90°
⇒ (2x)° = 90° - 40° = 50°
⇒ x° = (50 / 2)°
⇒ x = 25.
The required value of x is 25.
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A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?
Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,
[tex]a_n=3^n+4[/tex]
From this explicit formula,
First term of the sequence will be,
[tex]a_1=(3^1)+4[/tex]
[tex]a_1=7[/tex]
Second term of the sequence,
[tex]a_2=(3^2)+4[/tex]
[tex]a_2[/tex] = 13
3rd term of the sequence,
[tex]a_{3}=(3^3)+4[/tex]
= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,
[tex]a_n=3a_{n-1}-8[/tex]
[tex]a_2=3(a_1)-8[/tex]
[tex]a_2=3(7)-8[/tex]
[tex]a_2=21-8[/tex] = 13
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3(13)-8[/tex]
= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer:
C
Step-by-step explanation:
i took the test
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute
20 of an inch per minute
1
O z of an inch per minute
O2 inches per minute
O 20 inches per minute
Answer:
The answer is; the snail moved 1 inch every 20 minutes.
Step-by-step explanation:
120 divided by 6 is 20
Answer:
A) 1 Over 20 of an inch per minute
Step-by-step explanation:
I took this test and got 100
x square + 4 x - 12 all over x squared - 2x
Answer:
[tex]\frac{x+6}{x}[/tex]
Step-by-step explanation:
=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]
=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]
=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]
=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]
Cancelling (x-2)
=> [tex]\frac{x+6}{x}[/tex]
Please answer asap thanks
Answer:
V = 200 pi units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 pi ( 10 ^2) (6)
V = 1/3 pi (100) *6
V = 200 pi
Anyone know this ? Please help
Answer:
3018
Step-by-step explanation:
an = a1 + (n-1)d
a1 is the first term in the sequence = 24
n is the term number which is 500
d is the common difference
Take the second term and subtract the first term to find the common difference
d = 30-24 = 6
a500 = 24 + (500-1) *6
=24+ 499*6
=24 + 2994
=3018
Answer:
3018 is the correct answer.
The volume of the cylinder is 230 cubic units. What is the volume of the
cone? Round to the nearest enth if necessary.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder
h represents the height of the cylinder
π is a constant
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
r represents the radius of the cone
h represents the height of the cone
This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then
Volume of cone = 1/3 × 230 = 76.7 cubic units
I will mark you brainliest!!!! Which ordered pair is the best approximation of the solution?
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
Solve x^4 -3x^2 +2=0 using substitution. U=
Answer:
U = x^2
hope this helped!
Answer:
x^2
Step-by-step explanation:
The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS
Solve the system of equations. 6x-5y=-32, -7x+8y=46
Answer:
x = -2
y = 4
Step-by-step explanation:
6x-5y=-32
-7x+8y=46
Solve for x in the first equation.
6x = -32 + 5y
x = (-32 + 5y) /6
x = 5/6y - 16/3
Put x as 5/6y - 16/3 in the second equation and solve for y.
-7(5/6y - 16/3) +8y = 46
-35/6y+112/3 +8y = 46
13/6y + 112/3 = 46
13/6y = 46 - 112/3
13/6y = 26/3
y = 26/3 × 6/13
y = 4
Put y as 4 in the first equation and solve for x.
6x-5(4)=-32
6x-20 = -32
6x = -32+20
6x = -12
x = -12/6
x = -2
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
------------------------------------------
(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=1.95x+32. What is the independent variable and its units? ______ (dollars, miles, miles per dollar, or dollars per mile) - select the correct units What is the dependent variable and its units? ______ (miles or dollars) - select the correct units
Answer:
the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)
What is the units digit of $7^7$ when expressed as an integer?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Just stick it into a calculator lol
Sue has 20 biscuits There are: 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes two random biscuits Work out the probability that the two biscuits were not the same type
Answer:
58.43%
Step-by-step explanation:
The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:
The probability that they are equal is:
P (plain, plain) = (12/20) (11/19)
= 132/380
P (chocolate, chocolate) = (5/20) (4/19)
= 20/380
P (currant, currant) = (3/20) (2/19)
= 6/380
The final probability would be the sum of these:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 158/380
P (equal) = 0.4157
The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843
In other words, the probability would be 58.43%
Isaac applied the steps below to find the product of (4.2)(-5.4).
.
Step 1: (4.2)(-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
=-22.68
Which step shows where Isaac applied the distributive property?
Step 1
0 0
Step 2
Step 3
Step 4
The answer is step 2. hope it helps.
Answer:
step 2
Step-by-step explanation:
What is the value of x when y=31
Answer:16
Step-by-step explanation:
32/16=2
8*2=16
Hope that helps :D
Answer:
16
Step-by-step explanation:
Direct variation
y = kx
16 = k*8
Divide each side by 8
16/8 = 8k/8
2 = k
The equation is y =2x
y =2x
Let y =32
32 = 2x
Divide by 2
32/2 = x
16 =x
can someone help me with this and explain me how to do it please :) ^
Answer:
x= 4
[tex]perpendicular (p) = \sqrt{x} + 1[/tex]
[tex]base(b) = 2 \sqrt{x} [/tex]
[tex]hypotenuse(h) = 2 \sqrt{x} + 1[/tex]
According to the Pythagoras Theoram,
p²+b²= h²
[tex] {( \sqrt{x } + 1) }^{2} + {(2 \sqrt{x} )}^{2} = {(2 \sqrt{x} + 1)}^{2} [/tex]
=>x+2√x+1+4x = 4x +4√x +1=> x = 4x - 4x +4√x- 2√x+ 1- 1=>x= 2√x=> x/√x = 2=> √x = 2Therefore, x= (√x)² = (2)² = 4Answer:
4
Step-by-step explanation:
2√x, √x + 1, 2√x + 1 sides of triangle
√x= y
2y, y+1, 2y+1
(2y)²+(y+1)²= (2y+1)²
4y²+y²+2y+1= 4y²+4y+1
y²-2y=0
y=0 (discarded as side can't be zero) or y= 2
so √x=2 ⇒ x= 4
Let x be a constant. The 5th term of an arithmetic sequence is a5=16x+11. The 9th term of the sequence is a9=28x+19. Find the first term of the sequence. Write your answer in simplest form
19
Step-by-step explanation:
The first term of the arithmetic sequence is 4x+3.
What is arithmetic sequence?An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.
The formula to find the nth term of an arithmetic sequence is,
aₙ= a+(n-1)d
Where a is the 1st term and d is the common difference.
Let the first term of sequence is a and the common difference is d.
Given that,
The 5th term of the arithmetic sequence = 16x+11,
⇒ a+4d= 16x+11 (1)
And the 9th term of the arithmetic sequence = 28x+19,
⇒ a+8d= 28x+19 (2)
To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.
(2a+8d)-(a+8d) = (32x+22) - (28x+19)
a = 4x+3
The first term of the arithmetic sequence is 4x+3.
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straight line graphs: find the equation of the lines shown
Answer:
1. y = -2n + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
1.
The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.
Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.
Let's choose any two points on the line: (4, 1) and (3, 3). Then:
slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2
Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.
The equation is thus y = -2n + 9.
2.
Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:
slope = m = (2 - 1) / (3 - 1) = 1/2
We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.
The equation is thus y = (1/2)x + 1/2.
~ an aesthetics lover
Answer:
1. y = -2x + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
There was a mistake on the last one so I would like to correct it it is
y= -2x+9
The other one said -2n its -2x
Work of the size of one exterior angle
Answer:
<x = 36°
Step-by-step explanation:
In a regular decagon, Every interior angles is equal to 144.
So,
<x + 144 = 180 [Angles on a straight line]
<x = 180-144
<x = 36°
please help me whats the answer for jim has 100 cards there is a whole number from 1 to 100 on each card no cards have the same number jim puts a star on every card has a multiple of 3 on it he puts a circle on every card that has a multiple of 7 on it what number are on the cards that have both a star and a circle on them the final line on your answer must list only these numbers
Answer:
4
Step-by-step explanation:
Multiples of 7 and 3 are 21, 42, 63, 84
Hope this helps.
Answer:
21, 42, 63, 84
Step-by-step explanation:
Cards with both star and circle are multiples of both 3 and 7, ie 3*7= 21
21, 21*2= 42, 21*3= 63, 21*4= 84
So 21, 42, 63 and 84 are the required numbers
Brainliest will be given i need answer ASAP please.
Simplify 84,375/325 to its lowest multiple Example 16/4 = 4/1
Answer:
3375/13
Step-by-step explanation:
it's found though this equation [tex]\frac{84375/25}{325/25}[/tex]
Answer:
[tex]3375/13[/tex]
Step-by-step explanation:
[tex]84,375/325[/tex]
Divide the numerator and denominator by 25.
[tex]3375/13[/tex]
[tex]=259.615385[/tex]
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
Answer:
The first term as 2.
Pattern: Multiply the previous term and 2 to get the next term.
Step-by-step explanation:
The pattern is every term is 2× the previous term.
The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.
What is geometric series?The geometric series is a series in which the ratio of two consecutive numbers is constant.
The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.
So, The ratio of two consecutive numbers is constant.
r = 4/2 = 2
r = 8/4 = 2
Thus, The pattern is every term is 2 times the previous term.
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