For p(x<62) and p(x>68), we can use the z-score formula to calculate the probability.
p(x<62), the z-score formula is (62-64)/18 = -0.11.
p(x>68), the z-score formula is (68-64)/18 = 0.22.
The rest answer are mentioned below with calculation.
What is z-score formula?It is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.
For the first two questions, p(x<62) and p(x>68), we can use the z-score formula to calculate the probability. The z-score formula is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.
For the first question, p(x<62), the z-score formula is (62-64)/18 = -0.11. This means that the probability of x being less than 62 is 0.3767 (from the z-score table).
For the second question, p(x>68), the z-score formula is
(68-64)/18 = 0.22.
This means that the probability of x being greater than 68 is 0.5987 (from the z-score table).
For the third question, the probability that a randomly selected pregnancy lasts less than 260 days can be calculated using the z-score formula.
The z-score formula is (260-266)/16 = -0.375. This means that the probability of a randomly selected pregnancy lasting less than 260 days is 0.3296 (from the z-score table).
For the fourth question, the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.
Since the sample size is 20, the standard deviation of the sample is
16/√(20) = 4.
The z-score formula is (260-266)/4 = -1.5.
This means that the probability of a random sample of 20 pregnancies having a mean gestation period of 260 days or less is 0.0668 (from the z-score table).
For the fifth question, the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.
Since the sample size is 50, the standard deviation of the sample is
16/√(50) = 1.83
The z-score formula is (260-266)/1.8 = -3.3.
This means that the probability of a random sample of 50 pregnancies having a mean gestation period of 260 days or less is 0.0062 (from the z-score table).
For more questions related to probability
https://brainly.com/question/24756209
#SPJ1
I want to solve for x
Answer:
x = \(\frac{A*t^2}{800}\)
Step-by-step explanation:
First move t² to the left side by multiplying it.
A×t² = 800x - to get rid of 800, we divide both sides by 800. This isolates x.
x = \(\frac{A*t^2}{800}\)
what sock price should the company set to earn a maximum profit
Answer:
10000000000000
Step-by-step explanation:
I do not know how to explain
The awnsers pls and i need more help thank u i will give u branliest too
tl;dr: Top question is A.) 1/24. Bottom question is B.) 1/8.
Hello!
For the question closest to the top, your answer is A.) 1/24.
You find this by taking the probability of rolling a 2 on a 6-sided die (1/6), and multiplying it by the probability of the spinner landing on C (1/4).
\(\frac{1}{6}\) × \(\frac{1}{4}\) = \(\frac{1}{24}\)
For the question at the bottom, your answer is B.) 1/8.
You find this by taking the probability of rolling an odd number on a 6-sided die (1/2) and multiplying it by the probability of the spinner landing on B (1/4).
\(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1}{8}\)
Hope this was helpful. Have a great day!
Answer:
Q1) 1/10
Q2) 1/4
Step-by-step explanation:
Q1) There are 4 letters and 6 numbers which add up to 10 so it is out of 10. The chance that it would role on it is low and given the limited options we have to answer we have to estimate, therefore the best estimation to make would be that the answer is 1/10.
Q2) There are 4 letters and 6 numbers which add up to 10 so you would think it is out of 10 but due to the limited number of options we have to pick from "/10" isn't an option so we calculate how many odd numbers there are which is 3 and how many times B is shown which is once and 3 + 1 = 4 so that means it has to be out of 4 so due to the limited options we have we have to estimate it which gives us 1/4 as that's the only option there "/4".
A formula for the perimeter of a rectangle is P = 2 x width + 2 x length.
Use the formula to find:
a. The perimeter of a rectangle with width 8 cm and length 12 cm.
give your answer in cm
ASAP PLEASE
Work out the perimeter of the shaded shape on the centimetre grid.
Give the answer in cm and no spam.
Answer:
The perimeter of this rectangle is 10 cm.
1. The sum of the angles of a triangle is 180. Find the three angles of the triangle if one
angle is four times the smallest angle and the third angle is 36 greater than the smallest
angle.
Answer: they small angel is 12
Step-by-step explanation:because the third angle is 36 and 12 times three is 36
PLEASE HELP IN THE NEXT 15 MINUTES!!!!!!!!!!
The Cross Bayou Bridge in Shreveport, Louisiana has trusses that form triangles. The exterior angle of one triangle has a measure of (5 - 3)°. If the two nonadiacent interior angles of the triangle are 43° and (3x)°, what is the value of the exterior angle, in degrees?
The exterior angle of the triangle is 62°.
What is triangle?
A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
Let us take the triangle as ABC.
Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].
We know that sum of all angles in triangle is add upto 180° Then,
=> \(m\angle A+m\angle B+m\angle C\)=180
=> 43°+3x°+180-5x+3=180°
=> -2x=180-180-43-3
=> -2x=-46
=> x=13°
Now exterior angle ,
=> 5x-3
=> 5*13-3
=> 65-3
=> 62°
Hence the exterior angle of the triangle is 62°.
To learn more about triangle refer the below link
https://brainly.com/question/17335144
#SPJ1
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
can anyone help me with this?
Answer:
The surface area is 65.94 ft
I’m so bad at this pls-
Answer:
\(5 \sqrt{2} \)
Step-by-step explanation:
\( \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} \)
Hope it is helpful....Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)
Find the location of Boston as an ordered pair
HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 1x + 26
Step-by-step explanation:
3. In the United States, the average amount of meat eaten
per person is 261 pounds per year. If there are 365 days
in a year, what is the average number of ounces of meat
eaten per day? Round to the nearest ounce eaten per day? Round to the nearest ounce.
If the average amount of meat eaten per person is 261 pounds per year then the average amount of meat eaten per day is 11 ounces.
Given that the average amount of meat eaten per person is 261 pounds per year.
We are required to find the average number of ounces of meat eaten per day.
There are 16 ounces in a pound. So,the average amount of meat eaten per person per year will be 261*16=4176 ounces per year.
Average number of ounces of meat eaten per day is there are 365 days in a year=4176/365=11.44 ounces per day.
Now by rounding it to the nearest ounce we will get 11 ounces.
Hence if the average amount of meat eaten per person is 261 pounds per year then the average amount of meat eaten per day is 11 ounces.
Learn more about average at https://brainly.com/question/20118982
#SPJ9
Find the volume of the figure shown below.
A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3
Answer:
E. 24 units³
Step-by-step explanation:
the volume = 4×3×2 = 24
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
for such more question on distance
https://brainly.com/question/12356021
#SPJ8
when constructing pie charts, label each slice and include information about the quantitative size, such as percentage, dollars, etc., of each slice.
When constructing pie charts, label each slice and include information about the quantitative size, such as percentage, dollars, etc., of each slice.
What is a Pie chart?Pie chart is defined as the diagrammatic representation of the result of a research work in a way that the analysis can easily be understood.
The guidelines for construction of a pie chart include the following:
Calculate the total value of the data by adding all the given values. Divide the value of each category with the total value.Convert the result into a percentage.Label each slice or sector and include information about the quantitative size,Learn more about pie chart here:
https://brainly.com/question/26851221
#SPJ1
Complete question:
List the general guidelines for constructing pie charts.
0.63 = log x
solve this equation for x. Round your answer to the nearest hundredth.
Answer:
log x = .63
x = log(.63) = about -.20
what is the area of the figure?
Answer:I’m guessing the second one
Step-by-step explanation:
I thinking that because if u add it all up also this is just a thought
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Answer:
Z = 16Y
For instance, let's say we want to know how many ounces there are in 2 pounds.
We'd enter in Z = 16(2). This would be simplified to Z = 32. Now, we know that there are 32 ounces in 2 pounds.
y'all can't believe iam in 9th position!!! yay
Answer:
make me brainliest
Step-by-step explanation:
plssssss
Determine the measure of < 7
o 53
o 133
o 127
o 47
hi im doing homework i hate i-ready so yea can someone answer this please?
Weight of Omar after 4 weeks is 9.4375 pounds.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Weight of Omar at the time of birth = 8 pound 3 ounces
Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces
New weight of Omar
= (8 lb 3 ounces) + 20 ounces
= 8 lb + 23 oz
As, we know 16 ounces = 1 pound
23 ounces = 1.4375 pound
Now, total weight of Omar after 4 weeks = 8 lb + 23 oz
≈ 8 lb + (1.4375) lb
≈ 9.4375 pounds
Learn more about converting pounds here:
brainly.in/question/9767594
#SPJ1
Select the correct answer.
Libby bought 250 stocks of a company named Xylet last year. Xylet's total earning for the year is $ 4million and it has 1,000,000 outstanding
stocks. What is Xylet's Earning per share (EPS)?
OA. 4
OB. 0.04
C. 40
OD
400
Stocks = 250
Net income = $4,000,000
Outstanding Shares = $1,000,000
Earnings Per Share = ?
Formula: EPS = Net Income / Outstanding Shares
Solution: EPS = Net Income / Outstanding Shares
= $4,000,000 / $1,000,000
= 4
Answer: Earnings Per Share = 4
Answer:
4
Step-by-step explanation:
PLATO correct answer
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
Learn more about monthly installment at https://brainly.com/question/3260195
#SPJ1
Help Please, I dont know what to do.
Answer: B: y=5x-5
Step-by-step explanation:
The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
7 times the sum of 3 and q
one-fourth of z is subtracted from 6
Answer:
7(3+q)
(Z)/(1/4) - 6
Please help !!!!!! 20 points
The value of x in the polygon will be 13.25 degrees.
The value of x is 10.
We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.
How to calculate the valueThe sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.
Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees
Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:
Measure of one angle = 3960/24 = 165 degrees
165 = 12x + 6
159 = 12x
x = 13.25
Therefore, the value of x is 13.25 degrees.
Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.
Therefore, we have:
731x+86° = 7380°
Solving for x, we get:
731x = 7294°
x = 10
Therefore, the value of x is 10.
The equation that can be used to find the value of x is:
(9x+48)° + (15x-24)° = (n-2)*180°
24x + 24 = (n-2)*180°
Dividing both sides by 24, we get:
x + 1 = (n-2)*15°
Subtracting 1 from both sides, we get:
x = (n-2)*15° - 1
Learn more about polygon on
https://brainly.com/question/1592456
#SPJ1