Answer: the length of the base of the banner is 3 meters.
Step-by-step explanation:
Assuming the banner is in the shape of a right angle triangle, we would apply the formula for determining the area of a triangle which is expressed as
Area = 1/2 × base × height
Let b represent the base
The banner is in the shape of a triangle with a height that is 4 times as tall as the base length of the banner. It means that the height of the banner is 4b
If the total area of the banner is 18 square meters, it means that
18 = 1/2 × b × 4b
18 = 2b²
b² = 18/2 = 9
b = √9 = 3 meters
Answer: The trip was 440 miles
Step-by-step explanation:
A girl scout leader rented a bus for a trip to the museum.
Let x represent the number of miles
traveled over 350 miles.
Let y represent the total cost of travelling x miles
The bus company charged $275 plus $.35 for each mile traveled over 350 miles. This means that for x miles, the cost will be
y = 275 + 0.35x
If the bus trip cost $429, it means that y = 429
To determine the number of miles,we will substitute y = 429 into the equation. It becomes
429 = 275 + 0.35x
0.35x = 429 - 275 = 154
x = 154/0.35 = 440
x = 440 miles
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Answer:
<h2>The answer is option A</h2>
Step-by-step explanation:
<h3>
</h3>
<u>First of all cross multiply</u>
That's
g( wd + f ) = a + bc
<u>Multiply the terms at the left side of the equation</u>
We have
gwd + fg = a + bc
<u>Send fg to the right side of the equation</u>
That's
gwd = a + bc - fg
<u>Divide both sides by dg to make W stand alone</u>
<h3>
</h3>
We have the final answer as
<h2 /><h2>
</h2>
Hope this helps you
Answer:
There could be many, my estimate would be around 100.
Step-by-step explanation:
It may sound exaggerated but it can be.
