Answer:
1.61 * 10 ^8
3.3 * 10^-7
Step-by-step explanation:
Multiply the numbers and then add the exponents
2.3 * 10^1 * 7 * 10^6
2.3 *7 * 10^(1+6)
16.1 * 10^7
We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent
1.61 * 10 ^8
Multiply the numbers and then add the exponents
1.1* 10^-5 3*10^-2
1.1 *3 * 10^(-5+-2)
3.3 * 10^-7
So just find the measues of the faces
15 times 4=rightmost face
9 times 4=oposite face
9 times 4=lower top face
to find topmost face
15-9=6
4 times 6=topmost face
sides
can be split up into 2 rectangles
15 by 9 and 6 by 6
2 of them
2 times (15 times 9+6 times 6)
bottom=15 times 4
not seen face=6 times 4
total area=(15 times 4)+(9 times 4)+(9 times 4)+(4 times 6)+(2 times ((15 times 9)+(6 times 6)))+(15 times 4)+(6 times 4)
total area=60+36+36+24+(2 times (135+36))+60+24
total area=60+36+36+24+(2 times 171)+60+24
total area=60+36+60+342+60+24
toal area=582
answer is B
Answer:
a. <em>about 187 feet</em>
b. <em>about 19 trees</em>
c. <em>about 228 dollars</em>
What we know:
- 80 ft = hypotenuse
- 35 ft = short side
- x ft = long side
- it is a <em>right</em> triangle
a. Find the perimeter of the field. <em>about 187 feet</em>
<u>solve for the missing side length ('x')</u>:
- 35^2 + x^2 = 80^2
- 1225 + x^2 = 6400
- x^2 = 5175
- x = 15sqrt(23) or approx. 71.92
<u>add all side lengths</u>:
- P = 80 + 35 + 71.92
- P = 115 + 72 (rounded)
- P = 187 ft
b. You are going to plant dogwood seedlings about every ten feet around the field's edge. How many trees do you need? <em>about 19 trees</em>
- divide perimeter by 10 187/10 = 18.7
- round 18.7 trees = about 19 trees
c. If each dogwood seedling sells for $12, how much will the trees cost? <em>about $228</em>
- multiply trees by cost of each $12 x 19 trees = $228
- about $228 for the trees
Answer:
-5/3
Step-by-step explanation:
To solve this just plug in 7 wherever you see an x
we have
3/(7+2)-sqrt(7-3)
3/9-sqrt(4)
.3333-2= -5/3
Answer:
The 95% confidence interval would be given by (0.0772;0.1308)
Step-by-step explanation:
For this case we can calculate the estimated proportion like this:
We can assume that the normal model can be used since we satisfy two conditions:
The confidence level for this case is 95% of confidence, and the significance is given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
Replacing the values we got:
The 95% confidence interval would be given by (0.0772;0.1308)
