Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
what are the two consecutive odd integers whose product is 99.
Answer:
9and 11
Step-by-step explanation:
it also can be -9 and -11
Radio blackouts are among the most common space weather events to affect Earth. Minor radio blackouts occur, on average, twice per year. Use a Poisson process to model the phenomenon. (a) Given that 3 events have occurred in the first half of the year, what is that probability that 3 events will happen in the rest of the year? (b) How many radio blackouts do you expect to see in two years? (c) Starting from now, how long must we wait so that the probability of seeing the next radio blackout is at least 0.5? (d) Find the probability that the time to the 4th blackout is at most 2 years.
Answer:
a. P(x = 3) = 0.061313
b. The expected number of radio blackouts = 4
c. It is not possible to determine the next radio blackout
d. P(x = 4) = 0.19537
Step-by-step explanation:
From the given information:
Using a Poisson process to model the phenomenon:
Since minor radio blackouts occur, on average, twice per year.
Then:
[tex]\lambda = 2 \ years[/tex]
From question (a)
time t = 1/2 (i.e half of the year)
Let x be the random variable that denotes the probability that 3 events will happen in the rest of the year.
Then:
[tex]P(x = 3) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!}[/tex]
[tex]P(x = 3) = \dfrac{e^{-2* 0.5} \times (2 * 0.5)^3}{3!}[/tex]
P(x = 3) = 0.061313
b).
The number of radio blackouts we expect to see in two years can be estimated as follows:
we know that:
t = 2 years
E(x) = λ × t
E(x) = 2 × 2
E(x) = 4
The expected number of radio blackouts = 4
c).
The amount of time we need to wait given that the probability of seeing the next radio blackout is at least 0.5 is as follows:
Here, the time (t) = ???
Thus:
P(x =1) = 0.5
[tex]P(x = 1) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]
[tex]\dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]
Thus, it is not possible to determine the probability (50%) of seeing the next radio blackout.
d)
The probability that the time to the 4th blackout is at most 2 years can be computed as follows:
Here;
x =4 , t = 2
Thus:
[tex]P(x = 4) = \dfrac{e^{-4 } \times (4)^4}{4!}[/tex]
P(x = 4) = 0.19537
Find the slope of the line
Answer:
3/5
Step-by-step explanation:
m = change in y / change in x
m = 3 / 5
The blue dot is at what value on the number line?
?
3
1
Answer:
5
Step-by-step explanation:
count
The inside of an oven is set to rise to a temperature of 298°F. So far it has risen 76% If this amount.
Which would be the best way to estimate the number of degrees Fahrenheit the inside of the oven has risen so far?
Answer:
226.48°F
Step-by-step explanation:
Temperature of the oven = 298°F
if it has risen 76% of this amount so far, the number of degrees Fahrenheit the inside of the oven has risen so far can be expresses as:
= 76% of 298
= 76/100 * 298
= (76*298)/100
= 0.76*298
= 226.48°F
The temperature inside the oven so far is 226.48°F
Kim sold a house for $250,000 and made a 2% commission. How much money did Kim make from commission for selling the house?
$250.00
$5,000.00
$255,000.00
$500,000.00
Answer:
5000
Step-by-step explanation:
2% of 250,000 is 5000
In a certain college,20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 7 belong to an ethnic minority?
Answer:
0.000786432
Step-by-step explanation:
In a certain college,20% of the physics majors belong to ethnic minorities
The proportion p = 20%
= 0.2
q = 1 - 0.2 = 0.8
1f 10 students are selected at random from the physics majors
n = 10
x = 7
The formula for Binomial Probability is
= nCx × p^ x × (1−p)^ n−x .
= 10C7 × p⁷ × (0.8) ^10 - 7
= 0.000786432
The probability that exactly 7 belong to an ethnic minority is 0.000786432
The standard normal distribution has a mean of
and a standard deviation of
The standard normal distribution has a mean of 0 and a standard deviation of 1
The data set below represents the total number of home runs that a baseball player hit each season for 11 seasons of play. What is the interquartile range of the data? 14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28 12 16 22 28
Answer:
The interquartile range of the data is 12
Step-by-step explanation:
Data : 14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28 12 16 22 28
Data in ascending order : 12 ,14 ,15 ,16 ,16 ,19 ,21 ,22 ,22 ,25 ,27 ,28 ,28 ,30 ,32
Lower quartile :12 ,14 ,15 ,16 ,16 ,19 ,21
Q1 is the median of lower quartile
n = 7
Median =[tex]\frac{n+1}{2} \text{th term}=\frac{7+1}{2}=4 \text{th term}[/tex]=16
Upper quartile :22 ,25 ,27 ,28 ,28 ,30 ,32
Q3 is the median of upper quartile
n = 7
Median =[tex]\frac{n+1}{2} \text{th term}=\frac{7+1}{2}=4 \text{th term}[/tex]=28
IQR = Q3-Q1=28-16= 12
Hence the interquartile range of the data is 12
Answer:
A: 12
Step-by-step explanation:
edg2020
2(x-3)=x-5+x plz help
Answer:
x is undefined
Step-by-step explanation:
Simplify the expression, we get
2x-6=2x-5
This will not work
There are no solutions
. The article "Wind-Uplift Capacity of Residential Wood Roof-Sheathing Panels Retrofitted with Insulating Foam Adhesive" (P. Datin, D. Prevatt, and W. Pang, Journal of Architectural Engineering, 2011:144–154) presents a study of the failure pressures of roof panels. Following are the failure pressures, in kPa, for five panels constructed with 6d smooth shank nails. These data are consistent with means and standard deviations presented in the article. 3.32 2.53 3.45 2.38 3.01 Find a 95% confidence interval for the mean failure pressure for this type of roof panel.
Answer:
The 95% confidence interval is [tex] 2.354 < 3.526 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 5
The sample data is 3.32 2.53 3.45 2.38 3.01
Gnerally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
=> [tex]\= x = \frac{3.32+ 2.53 +3.45+ 2.38+ 3.01 }{5}[/tex]
=> [tex]\= x = 2.94 [/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{ \sum (x_i - \= x )^2}{n-1} }[/tex]
=> [tex]s = \sqrt{ \frac{ ( 3.32 - 2.94 )^2 + ( 2.53 - 2.94 )^2+ \cdots + ( 3.01 - 2.94 )^2}{5-1} }[/tex]
=> [tex]s = 0.472 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n-1[/tex]
=> [tex]df = 5-1[/tex]
=> [tex]df = 4 [/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 4 [/tex] is
[tex]t_{\frac{\alpha }{2} ,df } = 2.77[/tex]
Generally the margin of error is mathematically represented as
[tex]E =t_{\frac{\alpha }{2} ,df } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.77 * \frac{0.472 }{\sqrt{5} }[/tex]
[tex]E = 0.586 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]2.94-0.586 < 2.94 + 0.586[/tex]
[tex] 2.354 < 3.526 [/tex]
Help!!!!!!!Plz!!!!!!!
Answer:
I'm so confused
Step-by-step explanation:
Suppose the time to process a loan application follows a uniform distribution over the range 77 to 1515 days. What is the probability that a randomly selected loan application takes longer than 1414 days to process
Answer:
The probability is approximately 0.2222
Step-by-step explanation:
The correct question is as follows;
Suppose the time to process a loan application follows a uniform distribution over the range 7 to 15 days. What is the probability that a randomly selected loan application takes longer than 14 days to process
Please check attachment for solution to question
Can I please have answer
Answer:start on -4 go over 3 right and up 4
Step-by-step explanation:
Answer:
Start at -4 on the y axis(the axis that goes up and down). Then draw a line from this point that goes to the right 3 squares, and up 4 squares. Then just continue the line with the same movements to the right, and opposite movements to the left.
Step-by-step explanation:
Magic
If b^2 = 25 then b= Answer it please
Answer:
b = 5
mark me as brainliest plz!! :DD
7th grade math help me plzzz
Answer:
a. -7 + 3
b. draw 7 negatives + 7 positives
Step-by-step explanation:
Answer:
3.a) -7 + 3
3.b) 4
I hope this helps!
??????????number line
Answer:
A. 6 B. 8 min C. yes
Step-by-step explanation:
Lilliana is training for a marathon. She runs the same distance every day for a week on Monday,
Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?
Answer: 6 miles
Step-by-step explanation:
WEDNESDAY + FRIDAY (# OF MILES)
The Miles Covered by Each Lap = 3x
The Miles on Top of That = 6
TUESDAY + SUNDAY (# OF MILES)
The Miles Covered by Each Lap = 5x
The Miles on Top of That = 2
You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.
SOLVING EQUATION FOR MILES PER LAP
Step 1) 3x + 6 = 5x + 2
given equation from what we put together.
Step 2) -3x + 3x + 6 = 5x + 2 -3x
subtract 3x from both sides.
Step 3) -2 + 2x + 2 = 6 -2
subtract 2 from both sides.
Step 4) 2 × x = 4
divide both sides by 2 because you want to put the variable (x) on one side.
Step 5) x = 2 miles for each lap
Now you want to go look back at the equation and plug in 2 for the variable x.
Step 6) 5 ×2 + 2 = 12
PEMDAS!
Step 7) 12 ÷ 2 = 6
SHE RUNS 2 MILES ON SATURDAYS!
A large brick oven takes 64 minutes to cook 16 pizzas. How long would it take to cook two pizzas?
Answer:
It would take 8 minutes to cook 2 pizzas in a brick oven.
Step-by-step explanation:
Answer:
It would take 8 minutes to cook 2 pizzas in a brick oven.
Please help me with this!
I will give you a thanks!
What are the Odds of an event happening if the probability of the event happening is (Event
0.25]?
Answer:
odds and probably are the same. If there is 0.25 chance that means there is basically a 25% chance the event will happen or 1/4 chance.
Step-by-step explanation:
A= 1,321 +0.3433m
The equation above can be used to estimate the body surface area A, in square centimeters, of a child with mass
m, in grams, where 3,000 sms 30,000 Which of the following statements is consistent with the equation?
O a
A. For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.
Ob
B. For each increase of 0.3433 gram in mass, A increases by approximately 1 square centimeter.
Ос
C For each increase of 1 gram in mass, A increases by approximately 1,321 square centimeters.
Od
D. For each increase of 1,321 grams in mass, A increases by approximately 1 square centimeter.
Answer:
Option A: For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.
Step-by-step explanation:
We are given the function;
A= 1321 + 0.3433m
To find the rate of increase of the area, we will find the derivative of the function. Thus;
dA/dm = 0.3433
This means that the area increases at the rate of 0.3433 Sq.metre for each additional 1 gram added to the mass.
Looking at the given options, the one that corresponds to our answer is Option A
The following is an excerpt from a soccer magazine. Read and answer the question The ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in). The ball's weight must be in the range of 410 to 450 g (14 to 16 oz) and inflated to a pressure of 0.6 and 1.1 bars (8.7 and 16.0 psi) at sea level. Create a compound inequality for the weight using min and max weight values, leave units out, just the numerical answer.
Answer:
A) 410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70
B) 410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1
Step-by-step explanation:
In the first statement we are told that the ball should weigh between 410–450 g (14–16 oz), with a circumference of 68–70 cm (27–28 in).
If the weight is x, it means we have the inequality as;
410 ≤ x ≤ 450
If the circumference is denoted as y, we have;
68 ≤ y ≤ 70
Compound inequality is when we join two inequalities with the word "OR" or the word "AND.
Thus, the compound inequality is;
410 ≤ x ≤ 450 AND 68 ≤ y ≤ 70
Similar to he first statement, in the second statement, we have;
410 ≤ x ≤ 450
If the inflated pressure is denoted by z, then we have;
0.6 ≤ x ≤ 1.1
Like in the first statement, the compound inequality can be represented as;
410 ≤ x ≤ 450 AND 0.6 ≤ x ≤ 1.1
A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.
Answer:
[tex]Probability = 0.023[/tex]
Step-by-step explanation:
Given
Represent the given probability with P(Gene)
[tex]P(Gene) = 39\%[/tex]
[tex]Children = 4[/tex]
Since all 4 children get the disease, the required probability is calculated as thus:
[tex]Probability = P(Gene)^4[/tex]
[tex]Probability = 39\%^4[/tex]
Convert % to decimal
[tex]Probability = 0.39^4[/tex]
[tex]Probability = 0.02313441[/tex]
[tex]Probability = 0.023[/tex] Approximated
What is the least common multiple of six and eight?
Answer:
24
plz mark me as brainliest :DD
Answer:
The LCM for 6 and 8 = 24
Step-by-step explanation:
Because 24 is the first multiple they have in common.
6 | 8
12| 16
18 | 24 <-- 24
24 | 32
^
24 Least Common Multiple
Pls i beg you help meeeeeee
Answer:
is thisssssssssssssssssss right????????????????????????????
help needed please answer asap
Let M = 18,526.6 find the smallest power of 10 that will exceed M
A. 10^6
B. 10^ -1
C. 10^5
2 + (-2) = 0 0
What property of addition ?
Answer:
Associative I believe
Step-by-step explanation:
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d2
7 in
14 in
22 in
44 in
Answer:
14 in
Step-by-step explanation:
Given:
Circumference of circle = 44 in
Required:
The length of the diameter of the circle.
SOLUTION:
Circumference of circle = πd
Circumference = 44 in
π = 3.14
d = ?
Plug the values into the formula
44 = 3.14*d
Divide both sides by 3.14
44/3.14 = d
14.01 = d
d ≈ 14 in
