12. A staffs shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?
A. 15 ft
B. 18 ft
C. 12 ft
D. 9 ft
Answer:
18 ft
Step-by-step explanation
1. Put 8/16 like a fraction and since we do not know the height of the tree yet we put the height as 9/d.
2. We have to cross multiply so we multiply 8 by d and we get 8d. Then we multiply 9 by 16 and we get 144.
3. We divide both sides by 8 so we can get (d) by itself and we divide 144 by 8 also.
4. We get d = 18
The answer is correct but my explanation is a little hard to read so sorry about that :)
18=a ÷ 12
Find the introvert
Answer:
a = 216
Step-by-step explanation:
simplify (-4/5)^9/(-4/5)^10
Answer:
so (-4/5)^9/(-4/5)^10=−1,25
write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7
Answer:
1. -8 , -5 , 1 , 2
2: -5, -4 , -3 , 2
3: -15, -10, -7
Step-by-step explanation:
Given
1. -5, 2, 1, -8
2. -4, -3, -5, 2
3. -10, -15,-7
Required
Sort in ascending order
To write in ascending order, means that the number must increase from left to right.
So, we have:
1. -5, 2, 1, -8
From left to right, we have:
[tex]-8 < -5 < 1 < 2[/tex]
Hence, the sorted list: -8 , -5 , 1 , 2
2. -4, -3, -5, 2
From left to right, we have:
[tex]-5 < -4 < -3 < 2[/tex]
Hence, the sorted list: -5, -4 , -3 , 2
3. -10, -15,-7
From left to right, we have:
[tex]-15 < -10 < -7[/tex]
Hence, the sorted list: -15, -10, -7
Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).
a). find the probability of federal law violations in the first project or the second project.
b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.
c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information.
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point (a) :
In this, two points are exclusive to one another, it is a probability that first or the second project will have breaches,
[tex]\to P = P(A) + P(B)[/tex]
[tex]= 0.3 + 0.25\\\\= 0.55[/tex]
Since the p(A & B)=0 is mutually exclusive.
For point (b):
[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]
[tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]
For point (c):
if both a and b are independent:
(a):
[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]
[tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]
(b):
[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]
[tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]
5th grade math. Correct answer will be marked brainliest.
Answer:
1. 38.7
2. 3.87
3. .387
Step-by-step explanation:
1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.
So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7
2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.
Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87
3. The exponent number is 2 so, 10 to the second power is 100.
Equation: 38.7 / 100
Move the decimal to the right twice and it will give you the answer .387
Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.
I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.
Please help me with this equation below.
Answer:
a) We have an aspect ratio of 4:3
This means that the width of the screen, W, is about 4/3 times the height of the screen, H.
Then we have the equation:
W = (4/3)*H
And the diagonal of a rectangle with width W and height H is:
D = √(W^2 + H^2)
Then if we have a 15 in TV, then we have D = 15 in.
Then we have:
15 in = √(W^2 + H^2)
Now we can use the relation W = (4/3)*H and replace this in the above equation:
15 in = √(((4/3)*H)^2 + H^2)
Now we can solve this for H:
15in = √( (16/9)*H^2 + H^2)
(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2
(9/25)*(15in)^2 = H^2
√( (9/25)*(15in)^2) = H
(3/5)*(15in) = H = 9 in
The height is 9 inches, and the width will be:
W = (4/3)*9in = 12in.
Now let's do the same for a 42 in tv.
We can use the same equation than before, this time we get:
42 in = √(((4/3)*H)^2 + H^2)
We can do the exact same procedure as before, and we will get:
(3/5)*(42in) = H = 25.2 in
Then the width is
W = (4/3)*H = (4/3)*25.2in = 33.6 in
b) Now we do the same, but now we have the relation:
W = (16/9)*H
Then if D is the diagonal, we have the equation:
D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)
This time we can simplify it for any general D.
D^2 = (16/9)^2*H^2 + H^2
D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2
D^2 = (337/81)*H^2
(81/337)*D^2 = H^2
√( (81/337)*D^2) = H
(9/18.36)*D = H
Then if we have a 42 in TV, the height is:
(9/18.36)*42in = H = 20.59 in
And the width will be:
W = (16/9)*H = (16/9)*20.59in = 36.60 in
If we have a 60 in TV, we get:
(9/18.36)*60in = H = 29.41 in
And the width will be:
W = (16/9)*H = (16/9)*29.41in = 52.29 in
c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.
Solve 81^x= 27^x + 2
Answer:
x=6
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases then solve for X.
Hope this helped have a good one.
Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL
Answer:
should be segment BT, that's what i put and it was right. hope this helps
Step-by-step explanation:
The altitude to the line segment AC is line segment BL.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, L, M, N are midpoints.
We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.
By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.
learn more about the altitude of a triangle here :
https://brainly.com/question/17020135
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3x+4x+5x= need help asap
Answer:
12x
Step-by-step explanation:
3 + 4 + 5 = 12
Answer:
12x
Step-by-step explanation:
we add all of them and we get 12x
[tex]express each ratio in its simplest form \: 18hours to 2day
Answer:
Step-by-step explanation:
18 hours : 48 hours = 3:8
-18 = –1(x – 11) solve this equation
Answer:
X= 29
Step-by-step explanation:
Answer:
x = 29
Step-by-step explanation:
Let's solve your equation step-by-step.
−18=−1(x−11)
Step 1: Simplify both sides of the equation.
−18=−1(x−11)
−18=(−1)(x)+(−1)(−11)(Distribute)
−18=−x+11
Step 2: Flip the equation.
−x+11=−18
Step 3: Subtract 11 from both sides.
−x+11−11=−18−11
−x=−29
Step 4: Divide both sides by -1.
-x/1 = -29/-1
hope this helped:')
Pls help extra points and mark brainlist
Answer:
the answers are a and d
Step-by-step explanation:
x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2
Solve for x.
7x= 11.2
Answer:
X = 1.6
Step-by-step explanation:
Divide 7 on both sides:
7x = 11.2
x = 1.6
X, therefore, is 1.6.
Hope this helps!!
- Kay :)
Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45
Answer:
x = 14
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW :-
Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.___________________________________________________________
In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.
As they are supplementary angles , their sum will be 180°.
So ,
[tex](3x) + (7x + 40) = 180[/tex]
[tex]=> 3x + 7x + 40 = 180[/tex]
[tex]=> 10x + 40 = 180[/tex]
Substracting 40 from both the sides ,
[tex]=> 10x + 40 - 40 = 180 - 40[/tex]
[tex]=> 10x = 140[/tex]
Dividing both the sides by 10 ,
[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]
[tex]=> x = 14[/tex]
please help me really fast
Answer:
$30.00 fee
$45.00=total bill
$0.10 per minute of usage
x = minutes used
$30.00 + 0.10 per minute = $45.00
$30.00+$0.10(x) = $45.00
$0.10(x) = $45.00-$30.00 = $15.00
x = $15.00/$0.10 = 150 minutes used
write the number 31 in tens and ones. 2 tens ? Ones
Answer:
you could do 3 tens and 1 ones or 2 tens and 11 ones
Step-by-step explanation:
hope this helps!
Which of the following equals sin A?
Ignore my answer.
Answer:
You are correct it is A. cos B
Step-by-step explanation:
Identify the missing digit: 5_8x6-3528
Answer:
The missing digit is 8
Step-by-step explanation:
3528/6 = 588
Answer:
the missing digit is 8
Step-by-step explanation:
3528÷6=588.
^
We need to get the tomatoes from farm to the stores. We have tomato farms we can buy from in California and Florida. It cost .25 per pound to buy tomatoes from California. It costs .15 per pound to buy Florida tomatoes. California has available 6,000 pounds of tomatoes and Florida has available 8,000 pounds of tomatoes. Our stores are in Tampa, Atlanta and Dallas. Tampa needs 3,000 pounds, Atlanta needs 4,000 pounds and Dallas needs 5,000 pounds. Choose the appropriate technique to minimize the total shipping cost.
a. Forecasting / time series analysis
b. Linear programming model
c. Regression analysis
d. None of the above
Answer:
b. Linear Programming model
Step-by-step explanation:
Correct option is b. Linear Programming model.
As we know that, Linear programming model is a technique that used to find the optimal solution of a given problem with the available resources.
Please help I really need help please ans thank you
Answer:
see below
Step-by-step explanation:
x = 63 and y = 27
180 - 117 Gives 63
Answer:
x=63
y=27...............
If a point is equal distance from the 2 sides of an angle it is
A. on the perpendicular bisector
B. on the angle bisector
C the vertex of the angle
D on one side of the angle
Step-by-step explanation:
option A is the correct answer according to me .
plz mark my answer as brainlist if you find it useful.
Answer:
The answer is B
3. What is 256% as a decimal?
Answer:
2.56
Step-by-step explanation:
Answer:
it would be 2.56
Step-by-step explanation:
256 ÷ 100 = 2.56
What is x + x in the mathematics
Answer:
X+x =2x
Step-by-step explanation:
I think this ans may help you
Answer:
2x
Step-by-step explanation:
x + x also equals x times 2
Which of the following goes through (-2,4)
-x+3y=10
2x-2y=-4
-3x+y=10
x-y=6
Samuel brought a new bile for $350. Each year the value of the bike decreases by 12%. Find the value of the bike at the end of 5 years?
Answer:
$140
Step-by-step explanation:
if (2x+3):(3x+2)=5:7,find the value of x
Answer:
Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2
Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)
⇒x+2=410x+14
⇒4x+8=10x+14
⇒6x=−6
⇒x=−1
Identify what is shown in each circle below, in order from left to right.
Radius, Diameter, Circumference
Diameter, Radius, Area
Circumference, Radius, Diameter
Diameter, Radius, Circumference
Answer:
the answer is
Diameter, Radius, Circumference
Hope it will help :)
4x-5y=18 determine the missing coordinate in the ordered pair (-2,?) so that it will satisfy the given equation
The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a random sample of 500 employees, 15 reported owning an electric car.
This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
You can find the standard mean error and then use that to find the confidence interval limits.
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
How to find the confidence interval for proportions?Let the sample size be n
Let the interested quantities in the sample be present x times
Let the confidence level be of p%.
Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]
The standard mean error is calculated by:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]
Then the confidence interval limits can be found by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]
Using above formula for finding the confidence intervalWe have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]
Finding the standard mean error:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]
From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758
Thus, the confidence interval is obtained by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]
Lower limit = 0.0104
Upper limit = 0.0496
Thus,
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
Learn more about confidence interval here:
https://brainly.com/question/16427118