Answer:
There are approximately 343 families in the sample.
Step-by-step explanation:
xth percentile:
A measure is said to be in the xth percentile if it is greater than x% of the measures.
Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.
This means that 7% of the sample size n is 24. So
[tex]0.07n = 24[/tex]
[tex]n = \frac{24}{0.07}[/tex]
[tex]n = 342.86[/tex]
Rounding up, there are approximately 343 families in the sample.
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
if someone could explain to me how to do this
2) In a random survey of 500 women, 315 said they would rather be poor and thin than rich and fat; in a random survey of 400 men, 220 said they would rather be poor and thin than rich and fat. Is there sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat
Answer:
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Step-by-step explanation:
Here
p1= proportion of women who would rather be poor and thin than rich and fat
p1= 315/500= 0.63
p2= proportion of men who would rather be poor and thin than rich and fat
p2= 220/400= 0.55
1) Formulate the hypothesis as
H0: p1>p2 against the claim Ha: p1 ≤ p2
2) Choose the significance level ∝0.05
3) The test Statistic under H0 , is
Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))
pc^= an estimate of the common proportion
pc ^ = n1p1^ + n2p2^/ n1+n2
4) The critical region is Z≤ Z (0.05) = 1.645
5) Calculations
pc^ = 315+ 220/ 500+400= 535/900
pc^= 0.5944
and qc^= 1-0.5944= 0.4055
Thus
Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))
Z= 0.08/ sqrt (0.24108 (900/2000))
Z= 0.08/√0.10849
Z= 0.242887
Conclusion :
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
A bakery sold 73 bagels in the first hour of business. If the bakery had 246 bagels to start with, how many bagels were left after the first hour?
Answer:
173
Step-by-step explanation:
Answer: 173 bagels are left after the first hour.
Step-by-step explanation: if they had 246 bagels to start with, and they sold 73 in the first hour. 246-73=173.
help 16 points Select all of the true statements.
A.
All rhombuses are squares.
B.
All rectangles are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
E.
All trapezoids are parallelograms.
Answer:
a and b I think
Step-by-step explanation:
I'm not sure if that is right i haven't learned that in a while
Bagel Boys delivers bagels for a $6
delivery fee plus $2.50 per bagel. An
engineering firm has $100. What is the
maximum number of bagels the firm
can purchase?
A. 37 bagels B. 38 bagels
C. 39 bagels D. 40 bagels
Answer:
A.37 BAGELS
Step-by-step explanation:
100-6
94/2.50
37.6 round down
37 bagels
avocado
Pneumonoultramicroscopicsilicovolcanoconiosis
Answer:
Yes Avocado :>
Step-by-step explanation:
i luv em avocados
PLEASE I NEED HELP SOMEBODY!
What is the decimal value of ⅖. Use factors of 2 and 5 to convert fraction into decimal. :
What is the decimal value of 5/25. Use Equivalent Fractions to convert fraction into decimal. :
Answer:
0.4 and 0.2.
Step-by-step explanation:
For the first problem, you divide 5 by 2.
[tex]\frac{2}{5} = 0.4.[/tex]
This gives you 0.4
For the second problem, we simplify the fraction, first.
[tex]\frac{5}{25} = \frac{1}{5} .[/tex]
Then, we divide 1 by 5.
[tex]\frac{1}{5} = 0.2.[/tex]
This gives you 0.2.
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14
2/6 blue socks 2/6 green socks and the rest are white socks what would the answer be
Answer:
I think ita would be 2/6 as well
Step-by-step explanation:
simplify it down to 1/3 and the blue take up one third and so does the green socks
Answer:
2/6 socks are white.
Step-by-step explanation:
The denominator (6) is the amount of socks you have.
If 2/6 are blue and 2/6 are green. 4/6 are Blue & Green.
To find the remaining amount of socks you would simply subtract 6/6 by 4/6
That would leave you with 2/6 of the socks being WHITE.
Hope this helps you!! <3
f(x) = -x - 4
g(x) = 2x^2 + 4x + 11
Find: (f*g)(x)
Answer:
f(x)*g(x) = [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]
Step-by-step explanation:
I am assuming that * means multiplication
(f*g)(x) = f(x)*g(x)
So, f(x)*g(x) = (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]
= [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
Find CD? Plssss help
Answer:
CD = 10
Step-by-step explanation:
Answer:
CD=10 is the answer to your question
Calculate the length of the diagonal AB
Answer:
AB = [tex]5\sqrt{3}[/tex] cm
Step-by-step explanation:
The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5
So, the length of that diagonal, say x, of a 45-45-90 triangle where x is the hypotenuse is x = [tex]5\sqrt{2}[/tex]
Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.
So, [tex]x^{2} + 5^{2} = AB^{2}[/tex] = [tex](5\sqrt{2} )^{2}[/tex] + 25
= 50 + 25
= 75
Therefore AB = [tex]\sqrt{75}[/tex] = [tex]5\sqrt{3}[/tex]
An investment service is currently recommending the purchase of shares of Dollar Department Store selling at $18 per share. The price is approximately normally distributed with a mean of 20 and a standard deviation of 2. What is the probability that in a year the shares will be selling: Between $21 and $24
Answer:
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The price is approximately normally distributed with a mean of 20 and a standard deviation of 2.
This means that [tex]\mu = 20, \sigma = 2[/tex]
What is the probability that in a year the shares will be selling between $21 and $24
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 21. So
X = 24:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 20}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 21:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20}{2}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
0.9772 - 0.6915 = 0.2857
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Coterminal angle between 0 degrees and 360 degrees if coterminal angle is -450
Using equivalent angles, it is found that the coterminal angle is of 270º.
Equivalent Angles:In the trigonometric circle, ranging from 0 to 360º, each angle has an equivalent on the each quadrant.A negative angle is given by the trigonometric circle in clock-wise rotation, hence, to convert to positive, we keep adding 360º.In this problem:
The angle is of -450º.-450 + 360 = -90º, which means that the original angle gave more than one lap of the circle.Adding again, -90 + 360 = 270º, which is the coterminal angle.You can learn more about equivalent angles are https://brainly.com/question/21737963
Why is it important that we tell Native American stories?
Answer:
Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.
Step-by-step explanation:
PLEASE SOMEONE HELP ME WITH THIS PROBLEM
Answer:
1.28
2. -3.5
3.-10.5
Step-by-step explanation:
1.-0.0035 · 12000+70= 28
2. -0.0035 ·21000+70=-3.5
3. -0.0035 ·23000+70=-10.5
I hope this helps
3 35/44 as a decimal
Answer:
3.79545454545 or 3.7954 with a little line over the 54 showing its repeating.
Answer:
Step-by-step explanation:
Your decimal will be 3.6 because to convert 3 33/55 into decimal:
Step 1: Divided the numerator 33 divided by the denominator 55 33 divided by 55 = 0.6.
Step two: add 0.6 to the integer part. 3 + 0.6 = 3.6
So 3 33/55 as a decimal is 3.6
Here’s the rounded value also:
3 33/55 = 4 rounded to 0 decimal places.
A plant is already 51 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then use this equation to find the plant's height after 12 months
i) H = M + 52
ii) H = 25 + 52 = 77 cm
HELPP
Which of the following best represents the equation of the line shown on the
graph below?
Answer:
free d ddddddd
yes fast
????
$25000 at 4.25% for 2 year
Answer:
Step-by-step
Monthly Payment $1,088.41
Total Interest Paid $1,121.77
Total Paid $26,121.77
Mark brainliest if this answer is correct please
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order
Answer:
0.0309
Step-by-step explanation:
Faces on dice ( 1, 2, 3, 4, 5, 5)
Number of outcomes = 6
With 5 repeated twice
P(event A) = Required outcome / Total possible outcomes
Required outcome :
Number of 5's = 2 * distinct faces!
Required outcome = 2 * 5! = 2 * 120 = 240
Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776
Required / total possible = 240 / 7776
= 0.0308641
= 0.0309
Using SOLVE, determine the number of marbles that are in a large cylindrical flask as depicted in the handout from Lesson 1. Solve by hand (or electronically) and clearly outline your individual steps. (Sketch, Organized Variables, List Egns, Vary eqns, Evaluate). Embed a photo of your work below. Click the linke, for instructions to embed. Use the following variables for your evaluate step and stay in Sl units. Diameter of Marble - 13 mm Diameter of Flask - 25 cm Height of Flask (to level of marbles) - 40 cm FYI: 10 mm -1 cm
Given :
Diameter of the flask = 25 cm
radius, r = [tex]$\frac{25}{2}$[/tex] cm
Height of the flask, h = 40 cm
We have to find out the volume of the cylinder flask
Volume [tex]$= \pi r^2h$[/tex]
[tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]
= [tex]$19634.95 \ cm^3$[/tex]
= [tex]$19635 \ cm^3$[/tex]
Now calculate the volume of the marble
Given :
Diameter = 13 mm
radius, R [tex]$=\frac{13}{2} \ mm$[/tex]
Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]
[tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]
[tex]$= 1150.35 \ mm^3$[/tex]
or [tex]$= 115.035 \ cm^3$[/tex]
Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]
[tex]$=\frac{19635}{115.035}$[/tex]
= 170.68
Therefore, the number of the marbles used is approximately 170.
Answer the statistical measures and create a box and whiskers plot for the following set of data
2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19
Min:
Q1:
Med:
Q3:
Max:
Answer: 478161
Step-by-step explanation:
Find the measure of < FEG
44 = t - 10; 52, 53, 54
I WILL MARK BRAINLIEST
The_______ allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
the answer will be hores collar
Step-by-step explanation:
thank you
Answer:
Horse Collar
Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer
ork and check your ansu
x + 5 - 4x = 8
Answer:
x = -1
Step-by-step explanation:
x+5-4x=8
-5 -5
x-4x=3
-3x=3
/-3 /-3
x=-1