Answer:
An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.
Step-by-step explanation:
In a small metropolitan area, annual losses due to storm, fire, andtheft are assumed to be independent, exponentially distributed random variableswith respective means 1.0, 1.5, 2.4. Determine the probability that the maximumof these losses exceeds 3.
Answer:
[tex]0.4138[/tex]
Step-by-step explanation:
Given
[tex]x \to storm[/tex]
[tex]\mu_x = 1.0[/tex]
[tex]y \to fire[/tex]
[tex]\mu_y = 1.5[/tex]
[tex]z \to theft[/tex]
[tex]\mu_z = 2.4[/tex]
Let the event that the above three factors is greater than 3 be represented as:
[tex]P(A > 3)[/tex]
Using complement rule, we have:
[tex]P(A > 3) = 1 - P(A \le 3)[/tex]
This gives:
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
-----------------------------------------------------------------------------------------------------------
The exponential distribution formula of each is:
[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]
So, we have:
[tex]k = 3; \mu_x = 1[/tex]
[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]
[tex]k=3; \mu_y = 1.5[/tex]
[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]
[tex]k = 3; \mu_z = 2.4[/tex]
[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]
-----------------------------------------------------------------------------------------------------------
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]
[tex]P(A > 3) = 1 - 0.5862[/tex]
[tex]P(A > 3) = 0.4138[/tex]
Which of the following CANNOT be true for a triangle?
A. A triangle can be equilateral and obtuse at the same time.
B. A triangle can be equilateral and equiangular at the same time.
C. A triangle can be isosceles and right at the same time.
D. A triangle can be scalene and obtuse at the same time.
Answer:
A. A triangle can be equilateral and obtuse at the same time
Step-by-step explanation:
All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°
What is the equation of a line that is perpendicular to y = 3x -2 and passes
through the point (6, 8)?
O A. y= -1/3x+10
O B. y= -1/3x + 4
O C. y= 1/3x+6
O D. y= -1/3x+8
Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
Last Question Plz Help
Answer:
this is good looking nice photo but li can't give you answer of that sorry.
Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities
pls help ASAP!! person with correct answer will be marked brainliest
Answer:
41.8°
Step-by-step explanation:
Opposite angles are equal.
Answer:
41.8 degrees
Step-by-step explanation:
They are vertical angles, meaning they are the same, just opposite one another.
A sociologist studying fertility in France and Switzerland wanted to test if there was a difference in the average number of babies women in each country have. The sociologist obtained a random sample of women from each country. Here are the results of their test:
Country Sample Size n Mean SD France 100 1.85 1.3 Switzerland 100 1.65 1.2
At the alfa-.05 level of significance, is there sufficient evidence to conclude that there is a difference in the average number of babies women in each country have?
a. Yes, test statistics z- 1.13 and p-vaue is.125
b. No, Test statistics z= 1.13 and p-value is .258
c. Yes, the test statistic Z- 1.13 and p-valve is 258
d. Yes, test statistics T 1.13 and p-value is .258
Answer:
b.
Step-by-step explanation:
From the given information:
Null and alternative hypothesis is:
[tex]H_o : \mu _{france} = \mu_{switzerland} \\ \\ H_a : \mu _{france}\neq \mu_{switzerland}[/tex]
Given:
Number of babies France Switzerland
Sample size (n) 100 100
Mean 1.85 1.65
SD 1.3 1.2
The test statistics can be computed as:
[tex]Z = \dfrac{\bar x_{france} - \bar x_{switzerland}}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}}[/tex]
[tex]Z = \dfrac{1.85- 1.65}{\sqrt{\dfrac{1.3^2}{100}+\dfrac{1.2^2}{100}}}[/tex]
[tex]Z = \dfrac{0.2}{\sqrt{0.0313}}[/tex]
[tex]Z = 1.130[/tex]
degree of freedom = [tex]n_1 + n_2 -2[/tex]
= 100 + 100 -2
= 200 -2
=198
At 0.05, using the [tex]t_{dist}[/tex] table;
P-value = [tex]t_{dist} (1.130,198,2)[/tex]
P-value = 0.258
Since P-value is greater than ∝ = 0.05, We fail to reject [tex]H_o[/tex]
We conclude that there is No statistical difference at the 0.05 level. Hence [tex]\mu_{france} \neq \mu_{switzerland}[/tex]
The significance level shows that there is no sufficient evidence to conclude that there is a difference in the average number of babies as B. Test statistics z= 1.13 and p-value is 0.258
What is a significance level?It should be noted that a significance level simply means the probability that an event could have taken place by chance.
In this case, the test statistic will be:
= (1.85 - 1.65)/(✓1.3²/100 + 1.2²/100)
= 1.13
This is a two tailed test. Therefore, the p value will be:
= 2(1 - 0.87076)
= 0.258
Therefore, the p value is more than 0.05 and there's no sufficient evidence to reject the null hypothesis.
Learn more about significance level on:
https://brainly.com/question/4599596
First person will get brainiest
Answer:
341.6
Step-by-step explanation:
This problem asks one to subtract (58.4) from (400).
400 - 58.4 = 341.6
Less than is subtraction.
Subtract 58.4 from 400
400 - 58.4 = 341.6
The answer is 341.6
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answer:
6
Step-by-step explanation:
Consider the equation y=-x2 - 7x + 12. Determine whether the function has a
maximum or a minimum value. State the maximum or minimum value. What are
the domain and range of the function?
Answer:
Max (-7/2, 97/4)
Domain: all real numbers
Range: (negative infinity, 97/4)
Step-by-step explanation:
Im assuming this is a quadratic equation y = -x^2-7x+12
The max/min are the vertex (-b/2a)
Use a 10-by-10 grid to model the percent.
1. 43%
Answer:
I diminished the amount that
Step-by-step explanation:
(CHILL REMINDER) I know it's difficult right now, and I know you want to give up, but now isn't the time to give up. *Everything is going to be okay, I promise.*
We are here to help you...
Join Pastel Wardrobe on Roxxxblox to enter our virtual cruise and giveaways!
Answer:
thanx for the reminder
Step-by-step explanation:
have a wonderful day :)
Which is equivalent to sqrt x^10
A. X-5
B. X -1/5
C. X sqrt 10
D. X 1/5
E. X^5
[tex]\sqrt{x^{10}} = x^5[/tex]
=====================================================
Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]
A more general rule is
[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Answer:
E
[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]
the cone has a radius of 6m and a height of 9cm what's the volume ?
Answer:
339.4cm³
Step-by-step explanation:
V
=
π
r
2
h
3
22/7×6²×9/3= 339.42
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
what is the value of side EC ?
Answer:
EC = 28'
Step-by-step explanation:
Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.
By implication, we have:
EN/KA = EC/KR
EN = 96'
KA = 24'
EC = ?
KR = 7'
Thus:
96/24 = EC/7
Cross multiply
EC*24 = 7*96
EC*24 = 672
Divide both sides by 24
EC = 672/24
EC = 28'
URGENT!
Find the value of x for which ABCD must be a parallelogram.
3
9
1
41
Answer and Step-by-step explanation:
To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).
16x - 15 = 30 + 11x
Subtract 11x from both sides of the equation.
5x - 15 = 30
Add 15 to both sides of the equation.
5x = 45
Divide both sides of the equation by 5.
x = 9
So, the answer is 9, which is equal to x.
#teamtrees #PAW (Plant And Water)
Answer:
x = 1.67
Step-by-step explanation:
We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:
(BC) = (AD)
16x - 15 = 30 - 11x
(+11x) + 16x - 15 = 30
27x - 15 = 30
27x = 45
x = 45/27
x = 1.67
Therefore, x = 1.67
Hope this helps!
Help???? Pleaseeeeeeeee.
Answer:
(x-3.5)2=15.25solve the following equation 4 x + 10 = 66
-> 4x= 66-10
-> 4x= 56
-> x= 56/4
-> x= 14
mark me brainliestttt plsss :)))
Answer:
x = 14.
Step-by-step explanation:
4x + 10 = 66
4x + 10 - 10 = 66 - 10
4x = 56
x = 56/4 = 14.
please help asap!!!!
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572
Answer:
B
Step-by-step explanation:
they rest The two by five and separate the square
Can anyone do this two question for me it’s test just have 15 minutes please do quick god bless you
prove that: [tex]tan20+4sin20=\sqrt{3}[/tex]
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades
Answer:
The answer is "0.00842".
Step-by-step explanation:
Due to these cards, a conventional 52-card set is dealt one at a time.
While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.
Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].
The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex] probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]
Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex] then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]
The chances of five cards being drawn (three spades and two spades),
[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]
Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]
[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]
Is 5+2y=13 a linear relationship
Answer:
Yes 5+2y=13 is a linear relationship
What is 17 out of 22 as a percentage?
Answer:
The answer is 77.27%
Step-by-step explanation:
Please mark brainliest!
Enjoy the rest of your day!
Answer:
77.2727.. (repeating)%
or 77 3/11 %
Although im not sure if fractions are accepted in percents, so stick to the first option
Step-by-step explanation:
A percent is simply [tex]\frac{}{100}[/tex]
How many 22's are there in 100? 100/22=4.54 repeating
So 22*4.54 repeating = 100
do the same to both sides of the equation
17 / 22
17*4.54 repeating
77.27272.../100
so 77.27272727... %
HAAAALPPP PLEASEEEEEE NO LINKS ;(
Answer:
copy and paste your question into brainly
Welcome C;
Mark brainiest ez
factorize (2u+3u)(u+v)-2u+3v
Answer:
Step-by-step explanation:
(2u+3u)(u+v)-2u+3v
=2u(u+v)+3u(u+v)-2u+3v
=2u^2+2uv+3u^2+3uv-2u+3v
=5u^2+5uv-2u+3v
Find the area of the composite figure will give extra 100 points out if answer is right and brainlyst
Answer:
Decompose the figure into two rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.
Decompose the figure into three rectangles and add the areas.
Step-by-step explanation:
With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed. What is the expected frequency of West Campus and failed
Answer:
57.5
Step-by-step explanation:
The expected frequency of West Campus and Failed :
Let :
Failed = F
East Campus = C
West Campus = W
Passed = P
Frequency of FnW :
[(FnE) + (FnW) * (PnW) + (FnW)] / total samples
[(52 + 63) * (63 + 37)] / 200
[(115 * 100)] / 200
11500 / 200
= 57.5
n(Failed n East campus)
Answer:
57.5
Step-by-step explanation:
Got it right on the test.
What is the area of the figure below?