The altitude of the balloon now is 324 meters
How to determine the altitude of the balloon now?From the question, we have the following parameters that can be used in our computation:
Initial altitude = 288 meters
Rise = 36 meters
The altitude of the balloon now is calculated as
Current altitude = Initial altitude + Rise in altitude
Substitute the known values in the above equation, so, we have the following representation
Current altitude = 288 + 36
Evaluate the sum
Current altitude = 324
Hence, the current altitude is 324 meters
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Epidemiologists decided to investigate the effect of sunscreens on sunburns. They ran an epidemiologic study to see the association of sunscreens and sunburns. Overall, 460 people have enrolled in the study. Investigators randomly allocated 230 people to the treatment group (sunscreens) and 230 to the control group (placebo). They exposed those 460 people to the high mountain trail on a sunny day. At the end of the study, 30 people developed sunburns in the sunscreen group and 130 people developed sunburns in the placebo group. What is the relative risk of sunburns in the sunscreen treatment group compared with the control group in this study
Answer:
0.23
Step-by-step explanation:
Total number enrolled in the study = 460
Number of subjects in treatment group = 230
Number who developed sunburn in treatment group = 30
Number of subjects in placebo = 230
Number who developed sunburn in placebo = 130
Proportion of treatment group who developed sunburn = 30 / 230 = 0.130
Proportion of placebo who developed sunburn = 130 / 230 = 0.565
The relative risk of sunburn in treatment group compared with control group :
Proportion of sunburn in treatment / proportion of sunburn in placebo
0.130 / 0.565 = 0.23
The question I’m trying to figure out is What is y?
Answer:
y = 136
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 44
x + y = 180
44 + y = 180
y = 180 - 44
y = 136
Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he have left
Answer: $ 8.97
Step-by-step explanation:
Game =$9.78
toy=$ 6.34
sandwich =$4.91
Total amount spent=$9.78+$6.34+$4.91=> $21.03
Total amount=$30
left amount=total amount- amount spent
= $30-&21.03
=$8.97
Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.
The area of equiangular triangle with radius 6 inches is 27√3 square inches.
What is equiangular triangle?A triangle with three equal interior angles is called equiangular triangle.
In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.
What is the formula for finding the area of equiangular triangle?The formula for finding the area of equiangular triangle is
[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]
Where,
a is the side length of the triangle.
Let the side length of the equiangular triangle be a.
According to the given question.
We have a equiangular triangle with a radius 6.
Since, the radius of the equilateral triangle or equiangular triangle is given by
Radius = [tex]\frac{a}{\sqrt{3} }[/tex]
⇒ a = 6√3 inches.
Therefore, the area of equiangualr triangle is given by
[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]
⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]
[tex]\implies Area = 27\sqrt{3}[/tex] square inches
Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.
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Find the (a) mean, (b) variance, and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results. Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week. The random variable represents the number of U.S. mothers who choose fast food as a dining option for their families one to three times a week.
Answer:
a) The mean is 3.15.
b) The variance is 1.1655.
c) The standard deviation is 1.08.
d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.
This means that [tex]p = 0.63[/tex]
You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.
This means that [tex]n = 5[/tex]
(a) mean
[tex]E(X) = np = 5*0.63 = 3.15[/tex]
The mean is 3.15.
(b) variance
[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]
The variance is 1.1655.
(c) standard deviation
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]
The standard deviation is 1.08.
(d) interpret the results.
The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
what is the lateral of a cone with 10 yd and 12.1 yd
Answer:
190.07 yd²
Step-by-step explanation:
Given that :
Base of cone = 10 yards
Height of cone = 12.1 yards
The lateral area of a cone is obtained using the relation :
π × r * l
Where r = Radius = base / 2
l = height of cone
Radius, r = 10/ 2 = 5 yards
Lateral area = π * 5 * 12.1
Lateral area = 190. 0666
Lateral area = 190.07 yd²
Me.Bernstein will cut 8 pies into pieces that are each 1/6 of the whole After he cuts the 8 pies. how many pieces will Mr.Bernstein have
9514 1404 393
Answer:
48
Step-by-step explanation:
If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...
(8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces
Please help. This makes 0 sence also fast because this is a big test I need to pass don’t just guess please?!
It's B : 5/9 = 0.555… .
To see why, let x = 0.555… . Then 10x = 5.555…, and
10x - x = 5.555… - 0.555…
9x = 5
x = 5/9
Why the other answers are wrong:
• It's not A because 3/10 = 0.3, while 1/3 = 0.333…
• It's not C because 9/100 = 0.09, while 1/11 = 0.090909… :
x = 0.090909…
100x = 9.090909…
100x - x = 9.090909… - 0.090909…
99x = 9
x = 9/99 = 1/11
• It's not D because 47/99 ≠ 0.475475475… :
x = 0.475475475…
1000x = 475.475475475…
1000x - x = 475.475475475… - 0.475475475…
999x = 475
x = 475/999 ≠ 47/99
Please help I’ll mark you as brainliest if correct !!
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
Elizabeth bought snacks for her team's practice. She bought a bag of apples for $3.41
and a 10-pack of juice bottles. The total cost before tax was $13.21. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?
Answer:
$9.80
Step-by-step explanation:
$13.21 - $3.41 = $9.80
Answer:$5.49
Step-by-step explanation:
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answer:
120
Step-by-step explanation:
You have 15 inches and 1 and 8 devide 15 multiply 1 and 8
Answer:960? correct for me!
Step-by-step explanation:
Solve the system of equations.
2x + 3y = 13
-6x + 4y = 0
A. (2,3)
B.1/2,4
C. (5, 1)
D. (-2, -3)
Answer:
Step-by-step explanation:
The answer is A for both
Answer:
multiply equation 1by -3 and multiply equation 2 by 1
-3×2x+3y×-3=13×-3
-6x+4y=0
-6x-9y=-39
-6x+4y=0
Step-by-step explanation:
-13y=-39
divide both side by -13
-13y/-13=-39/-13
y=3
put answer of y in equation 1
2x+3y=13
2x+3×3=13
2x+9=13
take like terms of the equation
2x=13-9
2x=4
divide both side by 2
2x/2=4\2
x=2
(x,y)=(2,3)
In this combined function, the domain is all real numbers for x except?( x-2) / (x+5)
-2
2
-5
5
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
Guys please help i dont understand im bad at math
PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
Given the system which is true? Thanks in advance!
Answer: the system has no solution
Step-by-step explanation:
The slope and the y-intercept is different
Rectangle VWXY is dilated by a scale factor of 2/3 to form rectangle V'W'X'Y’. Side VW
measures 21. What is the measure of side V'W'?
Answer:
y
Step-by-step explanation:
Answer:
V'W' = 14Steps:
V'W' = VW×2/3
V'W' = 21×2/3
V'W' = 42/3
V'W' = 14
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]
If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800
Answer:
A
Step-by-step explanation:
3/14 x 2/12 multiply then simplify
Answer:
1/28
Step-by-step explanation:
6/168=1/28
Answer:
hi
Step-by-step explanation:
I think so...
[tex] \frac{3}{14} \times \frac{2}{12} = \frac{1}{7} \times \frac{1}{4} = \frac{1}{28} [/tex]
hope it helps
have a nice day
Can someone please help me! i’m confused!
Answer:
i am so sorry about it
its difficult
I need help if right I will mark you as brainlest
Answer:
More than 275 dollars of here budget goes to emergencies
Step-by-step explanation:
11% of 2750 is $302.50
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
OA.
A. 50 cm
B. 25 cm
OC. 60 cm
D. 120 cm
O E. 90 cm
Answer:
E
Step-by-step explanation:
Givens
L = 5 cm
W = 5 cm
H = 2 cm
Formula
SA = 2L*W + 2L*H + 2*W*H
Solution
SA = 2*5*5 + 2*5*2 + 2*5*2
SA = 50 + 20 + 20
SA = 90 cm^3
2) Find AC
C
12° 15°
70
B
А
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
Answer:
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
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The area of the figure is Choose...128136153258 in².
What is the area of this figure?
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A =
What is the area of this figure?
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What is the area of this figure?
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What is the area of this figure?
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The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
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The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
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The area of the figure is Choose...128136153258 in².
What is the area of this figure?
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Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56
Answer:
b
Step-by-step explanation:
solve for bc !.??.?.?.?.
Answer:
A) 12
Step-by-step explanation:
all triangle CBF is similar to triangle GEF by aa similarity.
EF/BF = EG/BC
6/18 = 4/BC
therefore BC must be 12.
3n^2-5n-6=9 help please!
Answer:
3n^2 -5n -6 = 9 This is a quadratic Equation.
3n^2 -5n -15 = 0
It is solved with the Quadratic Formula:
n = [-b +-sqr root (b^2 - 4ac)] / 2a
a = 3
b = -5
c= -15
n = [--5 +- sqr root(25 -4*3*-15)] / 6
n = [5 +- sqr root (25 + 180) / 6
n = [5 +-sqr root (205) ] / 6
n = 5 + 14.3178210633 / 6
n1 = 19.3178210633 / 6
n1= 3.2196368439
n2= 5 - 14.3178210633 / 6
n2 = -9.3178210633 / 6
n2 = -1.5529701772
Step-by-step explanation: