Answer:
[tex]P(x \le 5) = 0.0110[/tex]
Step-by-step explanation:
Given
[tex]n = 17[/tex] -- number of properties
[tex]p = 60\%[/tex] --- probability of selling a property
Required
[tex]P(x \le 5)[/tex]
The question is an illustration of binomial probability, and it is calculated using:
[tex]P(x ) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)[/tex]
[tex]P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}[/tex]
[tex]P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086[/tex]
[tex]P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039[/tex]
[tex]P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799[/tex]
[tex]P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948[/tex]
[tex]P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842[/tex]
So, we have:
[tex]P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842[/tex]
[tex]P(x \le 5) = 0.01059420251[/tex]
[tex]P(x \le 5) = 0.0110[/tex]
Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that exponents come before multiplication. You do not need to simplify the products.
#a
[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]
#f
[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]
Help with the answer
Answer:
3 6/7
Step-by-step explanation:
Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.
Hopefully that's helpful! :)
[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]
ok done. thank to me :>
A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?
Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
The students who went camping are divided according to the following fractions:
[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.The sum of all these fractions is 100% = 1, hence:
[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]
[tex]84x + 61 = 84[/tex]
[tex]84x = 23[/tex]
[tex]x = \frac{23}{84}[/tex]
Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
A similar problem is given at https://brainly.com/question/24372153
Easy question about multiplication? unsure why not getting full marks
20% of a number is 184. What is the number
Answer:
20% is 184
100% is x
x= 184 • 100/20
x= 920
Negative 4 squared + (5 minus 2) (negative 6)
Answer:
-2
Step-by-step explanation:
The graph below represents data that was collected by students on the number of social media posts they made the previous day. What's the greatest number of posts a student made?
From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.
Given the graph given that represents the data that was collected by students shows the following:
The lowest number of posts a student made is 0 (3 students made 0 posts).The greatest number of posts a student made is 10 (2 students made the greatest number of posts).The number of posts made by most students is 7 (6 students made 7 posts).In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.
Learn more about graphs on:
https://brainly.com/question/2962546
What is the factored form of 42 + 63?
Answer:
3 * 5 * 7
when i say * i mean the multiplication sign.
Step-by-step explanation:
Just ask. <3
(✿◡‿◡) HAPPY HOLIDAYS!!!
:D
Answer:
The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.
Step-by-step explanation:
What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
Pls help I’ll brainlest ASAP I’ll add extra points
Answer:
I think the slope is -1/-4 or - 1/4
Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.
Answer:
inequality form: x<-7 or x> 17
Step-by-step explanation:
Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.
Answer:
it would be the last one
Step-by-step explanation:
lmk if you want an explanation
If $3000 grows to $3540 after 3 yr, find the simple interest rate
Answer:
R = 6%
Step-by-step explanation:
We know that
SI = A - P
SI = 3540 - 3000
SI = $540
R = 100 × SI/P × T
R = 100 × 540/3000 × 3
R = 54/9
R = 6%
S O L U T I O N:
Here we've been provided with the information i.e
Amount (A) = 3540Principal amount (P) = 3000 Time period (T) = 3 yearsAnd we are asked to calculate simple interest rate (R) = ?
The standard formula to calculate is given by,
[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]
[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]
[tex]:\Rrightarrow\sf{S.I. =540}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]
[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]
[tex]:\Rrightarrow\sf{R = 6\%}[/tex]
The simple interest is 6%.
please help! will give brainliest:)
Solve the following system:
2x - z=14 a
10
3x - y + 5z = 0
(4x + 2y + 3z = -2
I need help on this question pls
Answer:
t = 17.5 f = 12
Step-by-step explanation:
If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:
[tex]90 = 4t + 20[/tex]
and
[tex]90 = 7f + 6[/tex]
Then solve both equations:
[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]
and
[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]
I hope that helps!
Plot 1[tex]\frac{2}{5}[/tex] −12, and −2[tex]\frac{1}{10}[/tex] on the number line.
Answer:
1st= 2.4 on the line
2nd= -0.5 on the line
3rd=2.1 on the line
Step-by-step explanation:
1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one
2nd 1/2=0.5 so -1/2= -0.5
3rd if one line is one part then it is 2.1
Does a quadratic polynomial have a degree of to
Answer:
Idioet duh it does.
Step-by-step explanation:
Graph the solution set to this inequality. -2x+9_> 5x-12
x ≤ 3 (closed dot going to the left)
12×12 get this right i will give you brainliest
Answer:
144
Step-by-step explanation:
12 x 2 =24 12 x 10 =120 120 + 24 =144
Hi, let's solve our equation.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]12\cdot12[/tex]
_______________
we can use multiple methods to solve this problem.
Distributive property Regular multiplication Fraction division________________
[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]
Here is how it would look to do distributive property
[tex](10\cdot12)+(2\cdot12)[/tex]
Follow PEMDAS rule
Parenthesis Exponents Multiplication or Division Addition or SubtractionSolve it and we get the answer of 144.
________________
[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]
just multiply [tex]12\cdot12[/tex] which equals 144
________________
[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]
here is how it would look like.
[tex]\frac{12}{1}\div\frac{1}{12}[/tex]
Follow the rule, also known as keep change flip, which makes it look like
[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144
________________
[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]
144
Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting
Answer: so 14 dollars in total
Step-by-step explanation:
Answer: Based on the current non-complete question, the answer Trinity earned $14.
Step-by-step explanation: 8 + 6 = 14.
What is the equation for the line in slope-intercept form? 20 18+ Enter your answer in the box. 16+ 14+ 112+ NO+ 6 4 2 - 20-18 -16-14-12-10 -9 -6 -4 4 6 8 -20 -27 10 12 14 16 18 20 -4- -B -8 -10 -12+ -14H -16+ -18+ -20+
The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The line passes through the point (1, 8) and (2, 16), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]
The equation of the line is given by y =8x
Find out more about linear equation at: https://brainly.com/question/14323743
Find out more on linear equation at: https://brainly.com/question/14323743
Half a number is subtracted from 7 results in 34
Answer:
[tex]-54[/tex]
Step-by-step explanation:
If the number being halved is x, we can write the expression
[tex]7-0.5x=34[/tex]
Now, bring like terms and solve!
[tex]-0.5x=27[/tex]
Multiple both sides by -2 and you get
[tex]x=-54[/tex]
Wanna check the answer? Well...
[tex]7-(-54*0.5)=7+27=34[/tex]
A= 1/2bh
solve for b
Ok done. Thank to me :>
Answer:
A = bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
b=2A/H
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
answer choice is B
Step-by-step explanation:
Use mathaway and scan the problem
What happens to the median of the data set below if the number 10 is added?
{2, 4, 8, 2, 7, 6, 18, 20, 24}
Answer:
The median goes up 0.5
Step-by-step explanation:
Before the number 10.
Mean x¯¯¯ 10.111111111111
Median x˜ 7
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 9
Sum 91
Quartiles Quartiles:
Q1 --> 3
Q2 --> 7
Q3 --> 19
Interquartile
Range IQR 16
Outliers none
After 10 is added.
Mean x¯¯¯ 10.1
Median x˜ 7.5
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 10
Sum 101
Quartiles Quartiles:
Q1 --> 4
Q2 --> 7.5
Q3 --> 18
Interquartile
Range IQR 14
Outliers none
It goes up .5.
a^3/2a^0 simplify pls i need help
Answer:
a^3/2
Step-by-step explanation:
a^3/2a^0
We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as
a^3/2(1)
We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2
Thus, our simplified expression is
a^3/2
Helpp! Part B- What is the equation of the line representing the cost of regular yogurt?
Part C- Lucia’s purchases 32 ounces of the less expensive yogurt. How much does the yogurt cost?
Answer:
10 to 1
Step-by-step explanation:
if 0 went to up there 10 you'd have to
Who ever is right i will mark brainilest
Answer:
no
yes
no
yes
Step-by-step explanation:
thats the answer
Which number is a perfect cube?
O4
O 16
O 24
O 64
What is the end behavior of the function f(x)=−3/4x^2?
Answer:
[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]
Step-by-step explanation:
We can see that the larger the input, the smaller the output
