Answer:
5.1 ; 8.29 ; 2.879
Step-by-step explanation:
Given :
Number of Computer Sold X
Probability P(x)
0
0.1
2
0.2
5
0.3
7
0.2
9
0.2
Mean = E(X) = Σ(x*p(x)
E(X) = (0*0.1) + (2*0.2) + (5*0.3) + (7*0.2) + (9*0.2)
E(X) = 5.1
Variance, Var(X) = Σx²p(x) − E(X)²
Var(X) = [(0^2*0.1) + (2^2*0.2) + (5^2*0.3) + (7^2*0.2) + (9^2*0.2)] - 5.1^2
Var(X) = 34.3 - 26.01 = 8.29
Standard deviation ; Std(X) = √Var(X) = √8.29 = 2.879
Drag each tile to the correct box.
Match the range of the function MX) = x2 + 2x-1 to its domain.
2
-2
3
-3
2
14
7
-1
Answer:
2 -> 3
14 -> -3
7 -> -2
-1 -> 2
Step-by-step explanation:
Given the function
f(x) = x² - 2x - 1
If x = 2
f(x) = 2² - 2(2) - 1
f(x) = 4 - 4 - 1
f(x) = -1
If x = -2
f(x) = (-2)² - 2(-2) - 1
f(x) = 4 + 4 - 1
f(x) = 7
If x = 3
f(x) = 3² - 2(3) - 1
f(x) = 9 - 6 - 1
f(x) = 2
If x = -3
f(x) = (-3)² - 2(-3) - 1
f(x) = 9 + 6 - 1
f(x) = 14
Which one is this please help thank u
Answer:
isosceles
Step-by-step explanation:
Two sides are the same length as indicated by the lines on the sides.
This tells use that the triangle is isosceles
Answer:
Hi, this an isoceles triangle
Step-by-step explanation:
An isoceles triangle has 2 equal sides
A right angled one has a right angle (90 degrees)
An equilateral traingle has all of his sides equal
A scalene has all of his sides different.
So this must be an isoceles triangle because there is basically a proof of the two equal sides (the bars).
Hope its clear!
Two cars are 100 km spart One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same time and are driving toward each other, how long will it take them to meet? 3 hours 4 hours 5 hours 6 hours
Answer:
I thinks they take 5 hours to meet each other
HELP PLEASE WITH THESE IM SO LOST AND NEED HELP! 1-4!
Answer:
1.tenisha
2.1\5+1\3=1\×
3.n-12=1\3(n+2)
4.500×=120
Need Help Quick !!!!!!!!
Given:
The graph of a function.
As [tex]x\to -5^-, f(x)\to \_\_\_[/tex].
As [tex]x\to -5^+, f(x)\to \_\_\_[/tex]
To find:
The correct values for the given blanks.
Solution:
From the given graph it is clear that the function approaches to infinity as x approaches to -5 from the left side. So,
As [tex]x\to -5^-, f(x)\to \infty[/tex].
From the given graph it is clear that the function approaches to negative infinity as x approaches to -5 from the right side. So,
As [tex]x\to -5^+, f(x)\to -\infty[/tex].
Therefore, the correct option (d).
Hello, I need help with this math problem please
Answer:
4c^2+7c-5=0
4c^2+7c=5
4c^2+7c=5
4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)
Hope This Helps!!!
Answer:
C) c = -7 ± √129 / 8
Step-by-step explanation:
x = (-b ± √ (b² – 4ac) ) / 2a
[quadratic formula]
where ax² + bx + c = 0.
[quadratic / square trinomial]
given 4c² + 7c – 5 = 0,
↓ ↓ ↓
a b c
where c = x,
c = (-b ± √ (b² – 4ac) ) / 2a.
c = (-(7) ± √ ((7)² – (4)(4)(-5)) ) / 2(4)
c = (-7 ± √ (49 – (-80)) ) / 8
c = (-7 ± √ (129) ) / 8
c = -7 ± √129 / 8
Elysia has 2 apples she gives 1 to her friend so how many does she have?
Answer:
One Apple.
Step-by-step explanation:
This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1
One apple.
Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, Elysia has 2 apples she gives 1 to her friend,
To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,
Number of apples Elysia left with = 2-1 = 1
Hence, Elysia will have one apple.
Learn more about subtraction, click;
https://brainly.com/question/2346316
#SPJ2
4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12
Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.
Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x
Just did this the other day...
The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,
Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).
Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].
Factor the denominator: 8x(x² - x - 5).
Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].
Further simplify the numerator: 3x² - 19x + 25.
Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].
To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:
Find a common denominator for the two fractions.
The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator.
(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)
Combine the fractions by subtracting them.
= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]
Factor the denominator of the resulting expression (if possible).
The denominator 8x(x² - x - 5) is already factored.
Simplify the expression, if possible.
= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]
Combine like terms in the numerator.
= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]
Simplify the numerator further.
= 3x² - 19x + 25 / [8x(x² - x - 5)]
Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].
learn more about expression here
brainly.com/question/34132400
#SPJ2
The following results come from two independent random samples taken of two populations.
Sample 1 Sample 2
n1 = 60 n2 = 35x1 = 13.6 x2 = 11.6σ1 = 2.1 σ2 = 3
a. What is the point estimate of the difference between the two population means?
b. Provide a 90% confidence interval for the difference between the two population means.
c. Provide a 95% confidence interval for the difference between the two population means.
Answer:
[tex](a)\ \bar x_1 - \bar x_2 = 2.0[/tex]
[tex](b)\ CI =(1.0542,2.9458)[/tex]
[tex](c)\ CI = (0.8730,2.1270)[/tex]
Step-by-step explanation:
Given
[tex]n_1 = 60[/tex] [tex]n_2 = 35[/tex]
[tex]\bar x_1 = 13.6[/tex] [tex]\bar x_2 = 11.6[/tex]
[tex]\sigma_1 = 2.1[/tex] [tex]\sigma_2 = 3[/tex]
Solving (a): Point estimate of difference of mean
This is calculated as: [tex]\bar x_1 - \bar x_2[/tex]
[tex]\bar x_1 - \bar x_2 = 13.6 - 11.6[/tex]
[tex]\bar x_1 - \bar x_2 = 2.0[/tex]
Solving (b): 90% confidence interval
We have:
[tex]c = 90\%[/tex]
[tex]c = 0.90[/tex]
Confidence level is: [tex]1 - \alpha[/tex]
[tex]1 - \alpha = c[/tex]
[tex]1 - \alpha = 0.90[/tex]
[tex]\alpha = 0.10[/tex]
Calculate [tex]z_{\alpha/2}[/tex]
[tex]z_{\alpha/2} = z_{0.10/2}[/tex]
[tex]z_{\alpha/2} = z_{0.05}[/tex]
The z score is:
[tex]z_{\alpha/2} = z_{0.05} =1.645[/tex]
The endpoints of the confidence level is:
[tex](\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}[/tex]
[tex]2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}[/tex]
[tex]2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}[/tex]
[tex]2.0 \± 1.645 * \sqrt{0.0735+0.2571}[/tex]
[tex]2.0 \± 1.645 * \sqrt{0.3306}[/tex]
[tex]2.0 \± 0.9458[/tex]
Split
[tex](2.0 - 0.9458) \to (2.0 + 0.9458)[/tex]
[tex](1.0542) \to (2.9458)[/tex]
Hence, the 90% confidence interval is:
[tex]CI =(1.0542,2.9458)[/tex]
Solving (c): 95% confidence interval
We have:
[tex]c = 95\%[/tex]
[tex]c = 0.95[/tex]
Confidence level is: [tex]1 - \alpha[/tex]
[tex]1 - \alpha = c[/tex]
[tex]1 - \alpha = 0.95[/tex]
[tex]\alpha = 0.05[/tex]
Calculate [tex]z_{\alpha/2}[/tex]
[tex]z_{\alpha/2} = z_{0.05/2}[/tex]
[tex]z_{\alpha/2} = z_{0.025}[/tex]
The z score is:
[tex]z_{\alpha/2} = z_{0.025} =1.96[/tex]
The endpoints of the confidence level is:
[tex](\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}[/tex]
[tex]2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}[/tex]
[tex]2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}[/tex]
[tex]2.0 \± 1.96 * \sqrt{0.0735+0.2571}[/tex]
[tex]2.0 \± 1.96* \sqrt{0.3306}[/tex]
[tex]2.0 \± 1.1270[/tex]
Split
[tex](2.0 - 1.1270) \to (2.0 + 1.1270)[/tex]
[tex](0.8730) \to (2.1270)[/tex]
Hence, the 95% confidence interval is:
[tex]CI = (0.8730,2.1270)[/tex]
What is the probability of rolling a number greater then two in a 6 sided number cube?
A.) 1/3
B.) 1/2
C.) 2/3
D.) 4/5
Answer:
c
Step-by-step explanation:
4/6 is reduced to two thirds
rrect answer.
Which of the following represents a function?
OA
{(-1,-11), (0,-7), (1,-3), (-1,5), (2,0)}
OB.
4
-1
6
0
У
4
.
X
-4
1
-2
What is the y-intercept of the line 5x – 3y = - 18?
Graph the line with y-intercept-2 and slope -3/5 .
Answer:
MATH
Dior H. asked • 01/13/21
graph the line with the slope 1/2 and y-intercept -2
i need help badly i am crying because its hard
Follow 1
Add comment
More
1 Expert Answer
By:
Raymond B. answered • 01/14/21
TUTOR 5 (1)
Math, microeconomics or criminal justice
ABOUT THIS TUTOR ›
y=mx + b is the standard slope intercept form for a line
m=1/2, b =-2
y=(1/2)x -2. y-intercept is -2 or the point (0,-2)
x intercept is found by setting y=0 and solving for x
0=(1/2)x - 2
(1/2)x = 2
x = 4 = the x intercept or (4,0)
plot the 2 intercepts (0,-2) and (4,0)
(4,0) is on the x axis, 4 units to the right of the origin (0,0)
(0,-2) is on the y axis, 2 units below the origin
once you plot those two points, draw a straight line connecting them. That's the graph of the line
PLEASE HELPPPPPPP QUICKKKKKKKK
Answer:
What do you need help with?
Step-by-step explanation:
You didn't put a question
In June, Joey sold 70% of her products in market fairs, and she
sold the rest of her products via her website. She sold 12 products
less in market fairs than on her website.
What was the total number of products that Joey sold?
Step-by-step explanation:
I hope this explains everything.
you can ask for further explanation
plzzz hellllpppppppp again lol
Answer: D
Step-by-step explanation:
June has a bakery. Her rent is $750 a month. Over a month, she sells 50 cakes, 120 cupcakes and 250 dozen cookies. This costs her
$2.000. Her sales total $2,600. What is her total cost?
$1,500
$150
$2,600
$2,000
$2,750
Answer:
$2,750
Step-by-step explanation:
Total spending = Rent + Cost
= $750 + $2000
= $2750
Will Mark Brainlest. (find the domain of following relation for the given range) step by step
Step-by-step explanation:
I suppose you mean find the range for the following domain. Because when
g(x) is given the value of X
we are trying to solve the output value which is range.
If you want to solve for the domain, the question should give
g(x) = y
and provide the value of y.
X³+X²-X-2
Substitute
X=(-1)
-1+1-(-1)-2
= -1
g(-1)= -1
Substitute
X=(2)
8+4-2-2
=8
g(2)= 8
Substitute
X=(1)
1+1-1-2
=-1
g(1)= -1
g(2)+g(1)
=8-1
=7
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Answer:
The time it will take is 13 hours
Step-by-step explanation:
From the given statement, we can generate the following inverse proportion relationship between t and s
t ∝ 1/s
[tex]t = \frac{k}{s} \\\\where;\\\\k \ is \ constant\\\\k = t_1s_1 = t_2s_2 \\\\t_2 = \frac{t_1s_1}{s_2} \\\\t_2 = \frac{12 \times 52}{48} \\\\t_2 = 13 \ hours[/tex]
The time it will take is 13 hours
What’s the answer to these
Answer:
B. [tex]\sqrt{16} *\sqrt{4}[/tex]
Step-by-step explanation:
[tex]=\sqrt{16*4}[/tex]
[tex]=\sqrt{64}[/tex]
[tex]=8[/tex]
--------------------
[tex]=\sqrt{16} *\sqrt{4}[/tex]
[tex]=4*2[/tex]
[tex]=8[/tex]
--------------------
Hope this helps.
What is the classification for this polynomial?
10
Click on the correct answer.
monomial
binomial
trinomial
please help with this question
Answer:
The answer to your question is given below.
Step-by-step explanation:
From the question given above, the following data were obtained:
x + 2 ≥ 2
x + 4 ≤ 3
The solutions to the equation can be obtained as follow:
x + 2 ≥ 2
Collect like terms
x ≥ 2 – 2
x ≥ 0
0 ≤ x
x + 4 ≤ 3
Collect like terms
x ≤ 3 – 4
x ≤ –1
Combining both answers, we have
0 ≤ x ≤ –1
Expressing the solution in internal notation, we have:
0 ≤ x ≤ –1
[0, –1]
PLZ HURRY
Which line is the graph of the function y = x + 6?
Answer:
the answer would be A because of the x+6 so the for a is the one that starts on 6
Step-by-step explanation:
Answer:
it should be A, the y intercept matches up with it
Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?
Answer:
850
Step-by-step explanation:
Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.
We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.
So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.
0.40 + [0.65(50-x)]= 0.50
Answer:
20
Step-by-step explanation:
i dont know
look it up
I do not know this and I need help fast this is a timed test
3 3/4 × 2 2/9 please
Help ♀️♀️♀️
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]
➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]
➺[tex] \: \frac{300}{36} [/tex]
➺[tex] \: \frac{25}{3} [/tex]
➺[tex] \: 8 \frac{1}{3} [/tex]
➺[tex] \: 8.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]
The dot plot shows the number of books read by students in grades 7 and 8 as part of a summer reading program. Match each phrase to its correct value.
Answer:
Uh, think you can give a picture?
Step-by-step explanation:
Answer:
The mean is the better center for the given dot plot.
What is Dot plot?
A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like chart used in statistics for very small data sets with discrete values. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.
Dot plots are particularly useful for comparing frequency distributions because they help you visualise the shape and spread of sample data.
First the mean of the data
= (1+ 2+ 3+ 4+ 5)/ 5
= 15 /5
= 3
So, the mean is 3.
Thus, the data is skewed and there are outliers.
Hence, the mean a better center for this data.
Step-by-step explanation:
if 6 is added to three quarters number of a certain number the result is 42 find the original number
Answer:
48
Step-by-step explanation:
6 + x×3/4 = 42
24 + 3x = 168
3x = 144
x = 48