Answer:
10.23% to the nearest hundredth.
Step-by-step explanation:
This is a Binomial Probability Distribution.
If exactly 25 are left handed then exactly 5 are right handed.
So (probability that exactly 25 are left handed)
= 30C5*(0.1)^5(0.9)^25
= 0.1023047706
= 10.23%.
The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).
The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.
The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.
We want to find the probability that exactly 25 students out of 30 are left-handed.
This can be calculated using the binomial probability formula:
[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]
where:
n = 30 (the number of trials)
k = 25 (the number of successes we want)
p = 0.9 (the probability of success in each trial)
Plugging in the values, we get:
[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]
Using a calculator or statistical software, we can find that:
P(X = 25) ≈ 0.2031
Therefore,
The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.
Learn more about probability here:
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the sum of two numbers is 30. the difference one the two numbers is 4
Answer:
20+10 is 30 5x6 is 30
Step-by-step explanation:
so just add numbers to find 30
Answer:
first number is 17 and second number is 13
Step-by-step explanation:
let the numbers are x and y
if their sum is 30 and difference is 4
then
x+y=30 --------------1equation
x-y=4 -----------2equation
add both the equations,
2x=34
x=17
then
put the value of x in 1equation,
x+y=30
17+y=30
y=30-17
y=13
then,
first number is 17 and second number is 13
help stranger's ( ◜‿◝ )
Answer:
what is the question in this picture
The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?
A 7:15
B 7:30
C 7:45
D 8:00
Answer:
i think (C)
Step-by-step explanation:
hope this helps you
3x - y = 23
2x + 3y = 8
Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.
the smith family traveled 140 miles from winston salem to asheville they stopped at one rest area the diagram below shows their trip divide into equal segments
Answer:140 because you have to divided by 1
Step-by-step explanation:
Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2
Answer:
the 3rd one is not linear
y= x to the 2nd power
the equation of the line which passes through the point (0,5) and has a gradient of 4 is
Answer:
y = 4x + 5
Step-by-step explanation:
slope = m = 4
y-intercept = b = 5
y = mx + b
y = 4x + 5
I NEED ANSWER NOW PLEASE TELL ME THE ANSWER AND HOW YOU GOT IT I WILL MARK U AS BRAINLIEST IT DUE IN 5 MINS
(GIVE ME ALL THE ANSWERS)
Answer:
1 is 42,256 =
3 × 105
+ 0 × 104
+ 5 × 103
+ 4 × 102
+ 4 × 101
+ 4 × 100
2 is
4 × 104
+ 2 × 103
+ 2 × 102
+ 5 × 101
+ 6 × 100
3 is 9,905,482 =
9 × 106
+ 9 × 105
+ 0 × 104
+ 5 × 103
+ 4 × 102
+ 8 × 101
+ 2 × 100
Step-by-step explanation:
What is the length of side a?
[tex]\huge \bf༆ Answer ༄[/tex]
According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)
So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)
Now, let's solve ~
[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex][tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex][tex] \sf16 + 9 = {a}^{2} [/tex][tex] \sf \: a {}^{2} = 25[/tex][tex] \sf \: a = \sqrt{25} [/tex][tex] \sf \: a = 5 \: units[/tex]Therefore, Length of side a is 5 units ~
Evaluate the expression please.
Evaluate the expression.
–
3–
–
10÷
–
2+1
Answer:
-7
Step-by-step explanation:
-3-(-10)/-2+1
-3-5+1
-8+1
-7
Answer:
Step-by-step explanation:
Expert-Verified Answer
1 person found it helpful
author link
jayilych4real
Some useful tips to help you write a five-paragraph essay are:
Choose a topic
Make suitable claims
Make use of supporting details
Make use of rhetorical appeals
Make use of counterclaims and rebuttals
Restate your main points
Conclude.
6√21 ×√28
please show work :D
Answer:
84√3
Step-by-step explanation:
6√21√28
6√7√3√7√4
(6√7√3√7)(2)
(6*7)(√3)(2)
(42)(√3)(2)
84√3
[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
8x - 60 less than or equal to 2 (5 - 3x)
Answer:
x less than or equal to 5
i think thats what u wanted
Given the function below find f(-2).
f(x)=x2−3x+5
Group of answer choices
10
15
20
25
2(3+x)=18 what does x equal please show work
2(3 + x) = 18 / : 2
3 + x = 9
x = 9 - 3
x = 6
Answer:
x = 6
Step-by-step explanation:
2(3 + x) = 18 ( divide both sides by 2 )
3 + x = 9 ( subtract 3 from both sides )
x = 6
3927283+8093
Help pls
Answer: 3935376
Step-by-step explanation: 3927283+8093
3935376
Work out the surface area of this solid prism.
25cm
17cm
15cm
30cm
28cm
The diagram is not drawn to scale.
PLS HELPPP IM DYING
Answer:
2520cm²
Step-by-step explanation:
Surface area = sum of the area of all the bases.
Area of bottom base = 28 * 30 = 840
Area of right base = 25 * 30 = 750
Area of left base = 17 * 30 = 510
Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420
Then add all the areas together to find surface area
Surface area = 840 + 750 + 510 + 420 = 2520cm²
Relevant Formulas:
Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base
Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.
7 is a factor of
a 28
b 16
c 11
d 4
Answer:
a) 28
Step-by-step explanation:
Hemp help help math
Answer:
1
Step-by-step explanation:
f(x) = y
that expression asks what y is when x = -2.
you can solve this by plugging in -2 for x in the function.
f(-2) = 3(-2) + 7
f(-2) = -6 + 7
f(-2) = 1
Answer:
1
Step-by-step explanation:
Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps
is this a dilation of 1/2 or a dilation of 2
Answer:
The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP
what does 2y-x=-14 equal?
Answer:
x=2(y+7)
Step-by-step explanation:
2y−x=−14
Subtract 2y from both sides.
−x=−14−2y
The equation is in standard form.
−x=−2y−14
Divide both sides by −1.
x=2y+14
Then use the inverse property of distrubtion.
x=2(y+7)
or if you want to you can leave it as x=2y+14
Answer:
y=x/2-7
Step-by-step explanation:
Move x to the side with the constant and then divide.
1. -x from both sides
2. the divide by 2
it can also be written like
y=1/2x-7
PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4
See in picture below
Answer:
See below
Step-by-step explanation:
As x approaches negative infinity, h(x) approaches negative infinity
As x approaches positive infinity, h(x) approaches negative infinity
I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.
16 liters to fraction
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
What is the value of the expression below?
(3 1/2 - 9 3/4) ÷ (-2.5)
Answer:
2.5
Step-by-step explanation:
3 1/2 - 9 3/4 =
3 2/4 - 9 3/4 = -6 1/4
-6 1/4 = -6.25 ÷ (-2.5) = 2.5
Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.
The value of given expression when x=-4 and y=4 is 1250.
The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].
We have to solve it for x= -4 and y = 4.
Now putting the value of x and y we get,
[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=1250[/tex]
Hence the value of given expression when x=-4 and y=4 is 1250.
For more details follow the link:
https://brainly.com/question/11897796
HELP THIS IS DUE TODAY!!!!!!!!
Answer:
the loop is going by 4
Step-by-step explanation:
$20, $15,$10,$5. What is the range of allowance amounts?
Answer:
$15
Step-by-step explanation:
20-5= 15
Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.
Hope this helps :)
Can someone solve this?
Please help me first person will get brainliest!!
Answer:
6w-60x+6
Step-by-step explanation:
6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Answer: 6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Step-by-step explanation: hope it helps you .Thanks .
Jill said Eight times my age 3 years ago equals
104 How old is Jill now?
Answer:
13 yrs old
Step-by-step explanation:
104/8=13
Answer:
14 years ago
Step-by-step explanation:
birthday January 16