Answer:
a. Yes
b. 0.35
c. 0.5
d.
E(x)=34.25
V(x)=73.1875
SD(x)=8.555
Step-by-step explanation:
a.
x 20 25 30 35 40 45 50
f(x) 0.05 0.2 0.25 0.15 0.15 0.1 0.1
This will be valid probability distribution if
1. All probabilities are between 0 and 1 inclusive.
2. Sum of probabilities must be 1.
Condition 1 is satisfied in this distribution. Now, we will check second condition
sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.
As the both conditions are satisfied, thus the given distribution is a valid probability distribution.
b.
P(x≥40)=P(X=40)+P(X=45)+P(X=50)
P(x≥40)=0.15+0.1+0.1
P(x≥40)=0.35
So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.
c.
P(x<35)=P(X=20)+P(X=25)+P(X=30)
P(x<35)=0.05+0.2+0.25
P(x<35)=0.5
So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.
d.
Expected value of x=E(x)= sum[x*f(x)]
E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1
E(x)=1+5+7.5+5.25+6+4.5+5
E(x)=34.25
Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²
sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1
sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50
sum[x²*f(x)]=1246.25
V(x)=1246.25-(34.25)²
V(x)=73.1875
Standard deviation of x=SD(x)=√V(x)
SD(x)=8.555
26490 rounded to the nearest ten thousand
Answer:
30,000
Step-by-step explanation:
26,490 becomes 30,000
2. Kachina is going to a concert that begins at 7:30 P.M. She
needs to arrive at the ticket window 15 minutes before
the concert to get her ticket. It takes Kachina 35 minutes
to ride to the concert, then 10 minutes to park the car. At
what time should Kachina leave for the concert?
Answer:
6:30 P.M.
Step-by-step explanation:
Since Kachina must do all these things before 7:30 P.M., we must find the sum of the times of the things she must do before the concert and subtract it from 7:30
The sum of the minutes is 60, which is 1 hour. Thus, Kachina should leave 1 hour before 7:30 which is 6:30 P.M.
Evaluate each function given that f(x)=3x^2-2x and g(x)= -8x-x. Give your answer in simplest form.
a) f(-9)
b) g(-3)
c) f (p+4)
9514 1404 393
Answer:
26127 (see comment)3p^2 +22p +40Step-by-step explanation:
In each case, put the function argument where the variable is and do the arithmetic (or algebra).
a) f(-9) = 3(-9)^2 -2(-9) = 3·81 +18 = 261
__
b) g(-3) = -8(-3)-(-3) = 24 +3 = 27
__
c) f(p+4) = 3(p+4)^2 -2(p+4)
= 3(p^2 +8p +16) -2p -8
= 3p^2 +22p +40
_____
Additional comment
The form of g(x) is unusual, leading us to suspect it might be ...
g(x) = -8x^2 -x
In that case,
g(-3) = -8(-3)^2 -(-3) = -8·9 +3 = -69
Which function represents the sequence?
Assume the domain for the function is integers greater than or equal to 1.
1/3, 1/9, 1/27, 1/81...
Answer:
f(x)=1/3(1/3)x-1
Step-by-step explanation:
f(x)= x1(r)^x-1
x1= the first term
r= rate of change
f(x)=1/3(1/3)x-1
what is the solution to x4 - 12x2+10>0
Answer:
(-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)
Step-by-step explanation:
Using x^2 = z, the equation can be rewritten as ...
z^2 -12z +10 > 0
(z -6)^2 -26 > 0
|z -6| > √26
This resolves to two equations.
This one ...
x^2 -6 < -√26 . . . . substitute x^2 for z
|x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|
-√(6-√26) < x < √(6-√26)
__
and this one ...
x^2 -6 > √26
|x| > √(6 +√26)
x < -√(6 +√26) ∪ √(6 +√26) < x
A doctor wants to research if there is any difference in the birth weights of a mother's first child and second child. Suppose that data were collected for a random sample of 10 mothers with 2 children, where each difference is calculated by subtracting the weight of the first child from the weight of the second child. Assume that the weights are normally distributed. The doctor uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is calculated as −1.101, which has 9 degrees of freedom. If the p-value is greater than 0.10 and the significance level is α=0.10, what conclusion can be made about the birth weights of a mother's first 2 children?
Answer:
There is not sufficient evidence to conclude that there exists significant difference in the birth weights of a mother's first child and second child at 10% level of significance.
Step-by-step explanation:
When our p-value exceeds level of significance then we fail to reject our null hypothesis. In this scenario we are investigating if there exists significant difference in the birth weights of a mother's first child and second child and our null hypothesis is there exists no significant difference in the birth weights of a mother's first child and second child i.e.μd=0.
As we are given that p-value is greater than 10% level of significant so, we cannot reject our null hypothesis. Thus, the conclusion statement can be written as "There is not sufficient evidence to conclude that there exists significant difference in the birth weights of a mother's first child and second child at 10% level of significance."
1. 237 + 496 =
1. 600 - 321 =
7. 993 - 294 =
Answer:
237+496= 733
600-321= 279
993-294= 699
1. Which of the following are equivalent to 24?
Select all that apply. Then choose 2 of your
selection and explain or show how they are
equivalent to 24.
a. 2 x 2
b. 2 2
C.4-22
d. 4X4
e24
f. 8 X 2
g. 26 : 2
Answer:
a
Step-by-step explanation:
Please answer if you know how to do it please, thank you
9514 1404 393
Answer:
9. vertex: (1, -2)
10. dashed line, shaded inside, opens down, (neither point is a solution)
Step-by-step explanation:
The graph is attached. Either the graph or the equation will tell you the vertex is (1, -2). Since the leading coefficient is negative, the parabola opens downward. Since the comparison is "y < ( )", shading is below the boundary line, so shading is inside the parabola.
The point (0, 0) is outside the parabola, so is not a solution. The point (2, -3) is on the (dashed) boundary line, so is not a solution. (The boundary line is dashed because points on it are not part of the solution set.)
__
The inequality is written in vertex form:
y < a(x -h)^2 +k . . . . . . . . has vertex (h, k)
The value of h in your inequality is 1, and the value of k is -2, so the vertex is (1, -2) as read from the inequality itself. (No graphing needed.)
For every $2 that David raised, Kendall raised $1.50. If Kendal raised $27, how much money did David raise
Answer:
$36
Step-by-step explanation:
27 x 2/1.50 = 36
Help pleaseeeee......!
Answer:
D.) QS ≅ NR
Step-by-step explanation:
Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)
Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.
Find the value of x.
Answer:
x= 13 degrees
Step-by-step explanation:
This is a 90 degree angle. We can create an equation to find x
68+x+9= 90
77+x= 90
-77 -77
x= 13 degrees
Hope this helps!
Answer:
x = 13
Step-by-step explanation:
The given angles are,
→ 68°
→ (x + 9)°
Now we have to,
→ Find the required value of x.
Forming the equation,
→ 68° + (x + 9)° = 90°
Then the value of x will be,
→ 68° + (x + 9)° = 90°
→ 68° + x + 9° = 90°
→ (68 + 9)° + x = 90°
→ 77° + x = 90°
→ x = 90° - 77°
→ [ x = 13 ]
Hence, the value of x is 13.
The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $500?
Answer:
More than 30 items
Step-by-step explanation:
C(x)=300x+6,000
First, find c(x), the average cost function.
c(x)c(x)=C(x)x=300x+6,000x
The average cost function is shown below.
c(x)=300x+6,000x
We want the function c(x) to be less than 500.
c(x)<500
Substitute the rational expression for c(x).
300x+6,000x<500x≠0
Subtract 500 to get 0 on the right.
300x+,6000x−500<0
Find the LCD, and rewrite the left side as one quotient.
300x+6,000x−500xx−200x+6,000x<0<0
Factor the numerator to show all factors.
−200(x−30)x<0
Find the critical points when the numerator or denominator are equal to 0.
−200(x−30)−200≠0x−30x=0x=0=0=30
More than 30 items must be produced to keep the average cost below $500 per item.
200m - 100m + 48,250 = 50,250 - 150m
Answer:
m=8
Step-by-step explanation:
read and answer the following:
Answer:
here ,
origin means (0,0)
so ,
h and k are 0 and 0
and diameter ( d) is 4
r = d/2
using formula
(x-h)^2 +( y-k)^2 = r^2
(x-0)^2 +( y-0)^2= 2^2
x^2+y^2= 4 is the equation.
51:30
If one term of a proportion is not known, what can be used to find the value of that term?
a substitution
c cross-multiplication
b. graphing
d. adding all the numbers together
Please select the best answer from the choices provided
CA
B
Answer:
The correct option is 'c' cross-multiplication
Step-by-step explanation:
f
is inversely proportional to
√
g
.
When
f
=
15
,
g
=
144
Work out
g
when
f
=
90
Answer:
4
Step-by-step explanation:
The proportional relationship can be described by the equation ...
[tex]f=\dfrac{k}{\sqrt{g}}[/tex]
We can fill in the given values to find k:
15 = k/√144 = k/12
15·12 = k = 180 . . . . . . multiply by 12
Then for f = 90, we have ...
90 = 180/√g
1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides
g = 2² = 4 . . . . the value of g when f=90
What point represents the y–intercept for the equation 6x + 3y = –12?
Answer:
(0, -4)
Step-by-step explanation:
The y-intercept is the point on the line where it crosses the y-axis. That point has x-coordinate equal to zero. To find the y-intercept, set x=0 in the equation and solve for y:
3y = -12
y = -12/3 = -4
The y-intercept is -4. The point coordinates are (0, -4).
__
Additional comment
You may notice that in the standard form equation, ...
ax +by = c
The x-intercept is c/a, and the y-intercept is c/b.
find out 4 equivalent of each of the fraction.
4/7,__,__,__,__.
Answer:
4/7 x 2 = 8/14
4/7 x 3 = 12/21
4/7 x 4 = 15/28
4/7 x 5 = 20/35
Step-by-step explanation:
4/7 x 2 = 8/14
4/7 x 3 = 12/21
4/7 x 4 = 15/28
4/7 x 5 = 20/35
Have an amazing day!!!
PLEASE RATE!!
Hello.
Please remember that equivalent means equal.
So we need to find 4 fractions that are equal to
[tex]\displaystyle\frac{4}{7}[/tex]
There are infinitely many fractions equal to the given fraction; we need just 4 of them.
First, let's multiply the numerator (4) and the denominator (7) times 2:
[tex]\displaystyle\frac{8}{14}[/tex]
Now, let's multiply the numerator and denominator of this fraction by 2:
[tex]\displaystyle\frac{16}{28}[/tex]
Multiply by 2 once more:
[tex]\displaystyle\frac{32}{56}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Find the measure of angle
Answer:
42º
Step-by-step explanation:
The angle on a straight line is always equal to 180º.
So here we know that angles AEB, BEC and CED add up to 180º. Now we simply have to rearrange to find angles AEB, seeing as we know all the others.
180 - (BEC + CED) = AEB
180 - (48º + 90º)
= 180 - 138º
= 42º
hello help me with this question thanks in advance
[tex]\bold{\huge{\underline{ Solution \:1}}}[/tex]
Yes, ΔEDF and ΔBCA are similarIf we look at the both the triangles then the
[tex]\sf{ {\angle} E = {\angle}B }[/tex][tex]\sf{ {\angle} F = {\angle}A }[/tex]From above, we can conclude that :-
Both the triangles are similar by AA Similarity
Hence, Option A is correct.
[tex]\bold{\huge{\underline{ Solution \:2}}}[/tex]
Let consider the given triangle be ABC and the line that divides the triangle consider it as DE
Here, DE || BCSo,
[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{AE}{AC}}}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]Therefore, ΔABC similar to ΔADE by SSS congruence similarity criterion. Now,We have to find the value of x
In ΔABC, By using BPT theorem
If the line is drawn parallel to one side of the triangle which intersect the other two sides at specific points then the other two sides are in proportion .That is,
[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{DE}{BC}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 6 }{ 6 + 4 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]
[tex]\sf{\dfrac{ 6 }{ 10 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]
[tex]\sf{\dfrac{ 3 }{ 5 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]
[tex]{\sf{ x = 8{\times} }}{\sf{\dfrac{5}{3}}}[/tex]
[tex]{\sf{ x = }}{\sf{\dfrac{40}{3}}}[/tex]
[tex]{\sf{ x = 13}}{\sf{\dfrac{1}{3}}}[/tex]
Hence, Option C is correct
[tex]\bold{\huge{\underline{ Solution \:3}}}[/tex]
Here,
SRT similar to BACFor x,
By using BPT theorem,
[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{BC}{ST}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]
[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{6}{2}}}[/tex]
[tex]\sf{ x = 3 }[/tex]
Thus, The value of x is 3
For y
Again by using BPT theorem,
[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{AC}{RT}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]
[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]
[tex]\sf{ y = 5{\times}2 }[/tex]
[tex]\sf{ y = 10 }[/tex]
Thus, The value of y is 10
Hence, Option A is correct.
Why might the overall prediction accuracy of a classification model be a misleading measure of performance
Answer:
Do u have any more information?
Step-by-step explanation:
Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23
Answer:
(1)8 + (5)3=23 or if your in middle/elm use this 8x1 + 5x3=23 Step-by-step explanation: if you do 8x1=8 5x3=15
8+15=23
what property is 4(2x -3) from math
Answer:
Distributive
Select the correct answer.
Which operation should you perform after (9+6) in the expression
122 + 10 2 - (9+6) + 5?
OA. 122
OB. 122 +10
Ос. .
10 x 2
OD
15-5
Answer:
12^2
Step-by-step explanation:
the pemas first you do the "(" and then what ever 12^2 is. i got the same question on mine and i got it correct. if this is correct write brainiest.
The graph below represents the relationship between the number of days a book is overdue and the library fine charged. A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant. Christen returned an overdue book to the library. Her fine was the same as it would have been if she returned the book the previous day. Which of the answer choices below could be the number of days Christen’s book is overdue? 10 14 18 22
The number of days Christen's book is overdue could be 22 according to options given.
The graph which represents the relationship between the number of days a book is overdue and the library fine charged is attached below :
According to the graph, a constant relationship exists between the number of days a book is overdue and the library fine charged when the Number of days book is overdue is about 19 days and above such that the library fine charged stays the same at $10.
Since we are told that Christen's fine for returning the book is the same as the fine she would have paid if book was returned yesterday, then, the number of days Christen's book is overdue could be 20 days and above.
The only value above 20 from the options given is 22.
Hence, 22 is the valid answer.
Answer The correct answer is d.) 22
Step-by-step explanation:
I got the answer right on the Edge quiz. Trust me!
What is the relationship between the magic constant (the sum of each row) and the sum of all the numbers in the square? Why does this relationship make sense?
Let's say each row sums to 15
If we had 3 rows, then the total sum would be 3*15 = 45
If we added all of the values in the 3x3 magic square, then we'd get 45 as well.
This is one example showing that
sum of all values = (number of rows)*(magic constant)
You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.
50 POINTS Which polynomial is a quartic trinomial?
Step-by-step explanation:
The first choice is a quartic trinomial
Leila is buying a dinosaur model. The price of the model is x dollars, and she also has to pay a 7% tax. Which of the following expressions could represent how much Leila pays in total for the model? Choose 2 answers: A.) 107/100x
B.) 0.7x + x C.) 1.07x D. x + 7/10x E. 1.7x
Answer:
B
Step-by-step explanation:
Leila is paying a flat rate of x dollars: so x
and she is also paying a 7% tax rate: meaning 7/100 or 0.07
Thus, the matching answer is b although should be 0.07.
Answer:
A and C
Step-by-step explanation:
what is the circumfrence of 18