Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house
Since two sides are already of the same length, he can create an isosceles triangle.
An isosceles triangle has two equal sides and two equal angles.
Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.
An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.
A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)
We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday
A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.
The confidence interval of proportions is given by:
π ± z √(π (1-π) /n)
π is the sample proportion.
z is the critical value.
n is the sample size.
For 99% confidence interval the value of z is 2.58
π = 321/650
The confidence interval is given by
=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)
= (0.493846 ± 0.050594)
=(0.4434 , 0.5443)
=(44.34 % , 54.43 %)
Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)
<u>Learn more about confidence interval:</u>
brainly.com/question/28052710
# SPJ4
Answer:
Hey There!
5.2 divided by 0.8 IS 6.5!
Step-by-step explanation:
This means that 0.8 goes into the number exactly 6.5 times...
I HOPE THIS HELPS!!
Answer: 13 hours
Step-by-step explanation:
The scenario that is being described can be fully made into an equation using three variables. These would be w for the number of weeks, b for the number of hours she babysat that week, and x for the total amount of hours worked. Like so...
5w + t = x
Since we are told that we need to find the total hours worked for a single week (w = 1) and that Erica babysat for 8 hours that week (b = 8), then we only need to solve for the total amount of hours worked (x)
5(1) + 8 = x
5+8 = x
13 = x
Erica worked a total of 13 hours.
Asked and answered here---> brainly.com/question/18598089
Answer: the price of each apple is $2.25 and the price of each mango is $1.25
Step-by-step explanation:
Let x represent the price of one apple.
Let y represent the price of one mango.
Cameron went into a grocery store and bought 4 apples and 7 mangos, costing a total of $17.75. This means that
4x + 7y = 17.75 - - - - - - - - - - - - 1
Gavin went into the same grocery store and bought 2 apples and 5 mangos, costing a total of $10.75. This means that
2x + 5y = 10.75 - - - - - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
4x + 7y = 17.75
4x + 10y = 21.5
Subtracting, it becomes
- 3y = - 3.75
y = - 3.75/ - 3
y = 1.25
Substituting y = 1.25 into equation 2, it becomes
2x + 5 × 1.25 = 10.75
2x + 6.25 = 10.75
2x = 10.75 - 6.25 = 4.5
x = 4.5/2 = 2.25
