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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7 is a factor of
a 28
b 16
c 11
d 4
Answer:
a) 28
Step-by-step explanation:
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.
$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 :)
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:
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HELP THIS IS DUE TODAY!!!!!!!!
Answer:
the loop is going by 4
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
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.
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
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:
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:
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
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.
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.
help stranger's ( ◜‿◝ )
Answer:
what is the question in this picture
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.
3927283+8093
Help pls
Answer: 3935376
Step-by-step explanation: 3927283+8093
3935376
8x - 60 less than or equal to 2 (5 - 3x)
Answer:
x less than or equal to 5
i think thats what u wanted
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
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
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.)
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]
Can someone solve this?
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
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
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
Given the function below find f(-2).
f(x)=x2−3x+5
Group of answer choices
10
15
20
25
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
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 .