Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation: It's A
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.Whales have one of the longest gestation periods of any mammal. According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 12 months
a. Find the standard score associated with a gestation period of 13.8 months
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
c. Would it be unusual for a whole to have a gestation period of 21 months? Why or why not?
The standard score associated with a gestation period of 13.8 months is __________.
Answer:
a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.
According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
I corrected to 1.2 because it is what makes sense considering the questions.
This means that [tex]\mu = 15, \sigma = 1.2[/tex]
a. Find the standard score associated with a gestation period of 13.8 months
This is Z when X = 13.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.8 - 15}{1.2}[/tex]
[tex]Z = -1[/tex]
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.
The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.
So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?
Let's find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 15}{1.2}[/tex]
[tex]Z = 5[/tex]
Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
Learn more about probability here:
brainly.com/question/1210781
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
Step-by-step explanation:
B.28.1
Answer:
It's BBBBBBBBBBBBBBBBB
Just look at the pic for the question
Answer: C
Step-by-step explanation:
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
Need Help ASAP
Thanks so much in advance...
Answer:
I will post 4,5 and 6 separately.
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
Can somebody help me plsssss
5,0 is not a solution to the system of linear inequalities.
10 points!!!!!!! Plssssss helpppppp
NEED MAJOR HELP PLEASE
Answer:
∠ BDC = 30°
Step-by-step explanation:
The angle on the circle is half the measure of the central angle subtended by the arc BC
∠ BDC = [tex]\frac{1}{2}[/tex] × 60° = 30°
can someone please help me find the area of a regular pentagon of radius 4m? thank you :(
Answer:38.07
Step-by-step explanation:
If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.
To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.
If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:
Area = (5/4) * apothem * side length
To know more about area:
https://brainly.com/question/28995006
#SPJ2
20% of __ = 18 Please help me Thank you Sooo Much
Answer: 20% of 90 = 18
Answer:
90%
Step-by-step explanation:
i hope this helps:)
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
Ryan made small
cherry pies with
a diameter of 2
in. What was the
area of one pie?
Answer:
area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Help rn ahhhh please
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
Suppose that a committee is studying whether there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours. Construct a 95% confidence interval for the population mean time wasted. Which distribution should you use for this problem
Answer:
The t-distribution is used, as we have the standard deviation of the sample.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 81 - 1 = 80
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.
The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Matteo has &400 in his saving account. on average he spends $10 per week on buying apps. Luca has $200 in his savings account. he is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer:
8 weeks
Step-by-step explanation:
Given data
Matteo
Amount= $400
Spending per week= $10
Hence his balance after x weeks is given as
y=400-10x-------------1
Luca
Amount= $200
Spending per week= $15
Hence his balance after x weeks is given as
y=200+15x-------------2
Equate 1 and 2
400-10x=200+15x
collect like terms
400-200=15x+10x
200=25x
x= 200/25
x= 8 weeks
Hence it will take 8 weeks
Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Help please someone please
Answer:
i dont know im just doing this for the points
What is missing in the percent what is number 45 of 80
Answer:
35
Step-by-step explanation:
Help me pls this is urgent ;>
Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
Can some body help me?
Answer:
24
Step-by-step explanation:
2(54-6x)=73-7x
108-12x=73-7x
108-73=-7x+12x
35=5x
x=7
UW=73-7x=73-7(7) = 73-49 = 24
A diver jumps off of a diving board and is modeled by the equation d(t)= -16t2 +8t + 30. How long will it take for her to reach the water?
Answer: (1/4,31)
Step-by-step explanation: Use the formula x = − b/2a a to find the maximum and minimum.
Find two equivalent fractions
3/2
Answer:
4/6 8/12
Step-by-step explanation:
Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
