Answer:
15.81 ft .
Step-by-step explanation:
This question is based on " Pythagoras Theorem " . If we imagine the given situation as a right angled triangle , then the base will be " 9ft " , and the perpendicular will be " 13 ft" . And the length of the ladder will be equal to hypontenuse of the triangle.
Using Pythagoras Theorem :-
[tex]\implies\rm h^2= p^2+b^2 \\\\\implies\rm h^2 = (9ft)^2+(13ft)^2 \\\\\implies\rm h^2 = 81 ft^2 + 169 ft^2 \\\\\implies\rm h^2 = 250ft^2 \\\\\implies \boxed{ \rm Ladder's \ Length = 15.81 \ ft }[/tex]
Hence the length of the ladder is 15.81 ft.
if an angle is bisected to form two new 20 degree angles, what was the measure of the original angle?
Answer:
10 degrees
Step-by-step explanation:
The angle bisected so that mean it was divided into 2 parts, so if it's 20 degree angles bisected it's divided by 2:
20/2= 10°
So the measure of the original angle is 10° degrees!
Answer:40
Step-by-step explanation: i took the lesson this was the answer
I need help with this x/4 - 3x/8 = 5
Answer:
x=−40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x4−3x8=5
14x+−38x=5
(14x+−38x)=5(Combine Like Terms)
−18x=5
−18x=5
Step 2: Multiply both sides by 8/(-1).
(8−1)*(−18x)=(8−1)*(5)
x=−40
Answer:
x=−40
Hello!
x/4 - 3x/8 = 5
2x - 3x = 40
-x = 40
x = -40
Good luck! :)
Write an equation
that represents the line.
Answer:
the eq of given line is 2x+y+3=0
Tom's graduation picnic costs $4 for every attendee. At most how many attendees can there be if Tom budgets a total of $36 for his graduation picnic?
The function c(r)=2r+12.5 represents the cost c, in dollars, of riding r rides
at a carnival. How much does it cost to get into the carnival? *
1 point
A.$2
B. $12.50
C. $14.50
D.r
John runs a computer software store. Yesterday he counted 125 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
(a) Estimate the probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
Answer:
a) 0.46 = 46% probability that a person who walks by the store will enter the store.
b) 0.36 = 36% probability that a person who walks into the store will buy something.
c) 0.17 = 17% probability that a person who walks by the store will come in and buy something.
d) 0.64 = 64% probability that a person who comes into the store will buy nothing.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
(a) Estimate the probability that a person who walks by the store will enter the store.
58 out of 125. So
[tex]p = \frac{58}{125} = 0.46[/tex]
0.46 = 46% probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
58 walked, 21 bought. So
[tex]p = \frac{21}{58} = 0.36[/tex]
0.36 = 36% probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
21 came in and bought out of 125 that walked by. So
[tex]p = \frac{21}{125} = 0.17[/tex]
0.17 = 17% probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
0.36 probability that a person buys something, so 1 - 0.36 = 0.64 = 64% probability that a person who comes into the store will buy nothing.
In order to win a prize, Heather randomly draws two balls from a basket of 40. There are 25 blue balls, and the rest are green balls. Of the blue balls, 12% are winning balls. Of the green balls, 20% are winning balls. Calculate the expected number of winning balls that Heather draws.
Answer:
The expected number of winning balls that Heather draws is 0.3.
Step-by-step explanation:
The balls are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Expected value of the hypergeometric distribution:
The expected value is given by:
[tex]E(X) = \frac{nk}{N}[/tex]
Expected number of blue and green balls:
40 balls, which means that [tex]N = 40[/tex]
2 are chosen, which means that [tex]n = 2[/tex]
25 are blue, which means that [tex]k = 25[/tex]
So
[tex]E(X) = \frac{nk}{N} = \frac{25(2)}{40} = 1.25[/tex]
1.25 balls are expected to be blue and 2 - 1.25 = 0.75 green.
Of the blue balls, 12% are winning.
Of the green balls, 20% are winning.
Calculate the expected number of winning balls that Heather draws.
[tex]E_w = 1.25*0.12 + 0.75*0.2 = 0.3[/tex]
The expected number of winning balls that Heather draws is 0.3.
If you pick a card at random from a well shuffled deck, what is the probability that you get an even card or a spade
Answer:
The probability that you get an even card or a spade is P = 0.596
Step-by-step explanation:
In a deck of 52 cards, all the cards have the exact same probability of being drawn.
So, the probability of drawing an even card of a spade, will be equal to the quotient between the number of even cards and spades, and the total number of cards (52).
First, let's found the number of even cards and spades.
There are 13 spades.
For each set, the even cards are:
{2. 4, 6, 8, 10}
(not counting the queen as a "12")
Then for each set, there are 6 even cards.
(there are four sets but we already counted the 6 even cards from the spade set, so we ignore that set)
Then there are 3 sets with 6 even cards each, there are:
3*6 = 18 even cards
So we have:
13 spades + 18 even cards = 31 cards that meet the condition.
The probability is then:
P = 31/52 = 0.596
The probability that you get an even card or a spade is P = 0.596
Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Answer:
We can use three solution and they are
(1)completing the square
(2)quadratic formula
(3) factorisation method
The quadratic equation 2x^2 - 4x = -2 has two values .
What is quadratic equation ?According to our definition, a quadratic equation is one with degree 2, implying that its maximum exponent is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero. All of these are examples of quadratic equations: y = x^2 + 3x + 1.Kind of solutions -(1)completing the square
(2)quadratic formula
(3) factorization method
Given,
quadratic equation 2x^2 - 4x = -2
2x² - 4x + 2 =0
Now solve this equation by factor,
2x² - 4x + 2 = 0
2x² - ( 2+2)x +2 = 0
2x² - 2x -2x + 2 = 0
2x(x- 1 ) -2 ( x -1) = 0
(2x - 2) ( x- 1) =0
2x - 2 = 0 or x - 1 = 0
x = 1 or x = 1
So, this equation has 2 value of x.
Learn more about quadratic equation brainly.com/question/2263981 here
#SPJ2
(x+2)(x+3)(x+4)x(+5)-48
Answer:
(12+2)(15+3)(9+4)(2+5)-48
=4
A rectangle is drawn so the width is 6 inches longer than the height. If the rectangle's diagonal measurement is 27 inches, find the height.
Give your answer rounded to 1 decimal place.
Answer:
height = 3
Step-by-step explanation:
x(x+6) = 27
x^2 + 6x - 27 = 0
(x+9)(x-3) = 0
x = 3
Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (
Answer:
x is 10.66
Step-by-step explanation:
What are complementary angles?
They are angles that up to 90
So we have Sin A and Cos B
4x + 10+ 2x + 16= 90
collect like terms
6x+ 26= 90
6x= 90-26
6x= 64
x= 64/6
x= 10.66
Hence the value of x is 10.66
Answer:
not 10.66
Step-by-step explanation:
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.8. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?
Answer:
The people dies in 2004 by aids are 413042853.4
Step-by-step explanation:
growth factor = 1.8
People died in 1983 = 1800
Let the people dies in 2004 is P.
Time, t = 2004 - 1983 = 21
So,
[tex]P = 1800 \times (1.8)^{21}\\\\P = 413042853.4[/tex]
HELP PLEASSSSSS I will give brainlyest!!!!!!!!!!!!!!!!!!
Answer:
1/2
Step-by-step explanation:
Convert 2/3 to 4/6
Subtract: 4/6 - 1/6
You get 3/6
Simplify: 1/2
Hope this helps!
Answer: The answer is 1/2
Please help!! Picture included!
Answer: the answer is c
Step-by-step explanation:brainlist [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
If 4x³+kx²+px +2 is divisible by x²+ α prove that kp=8.
Answer:
Attached images
It was just easier for me this way.
Let me know in comments if you have questions.
Step-by-step explanation:
Which operation will solve the following word problem? Andrea's class has 20 students and half of the students are studying math, half of these are studying word problems. How many are studying word problems?
Addition
Subtraction
Division
Multiplication
divide .2÷20 =10 10 students are Studing word problems
Help me pls, BRAINEST AWARD
Answer:
x = 3.7
Step-by-step explanation:
By applying sine ratio for the given angle B,
sin(39°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(39°) = [tex]\frac{AD}{AB}[/tex]
0.6293 = [tex]\frac{AD}{7}[/tex]
AD = 4.41
By applying tangent ratio for the given angle C,
tan(50°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1.19 = [tex]\frac{AD}{x}[/tex]
1.19 = [tex]\frac{4.41}{x}[/tex]
x = 3.7
find the value of the following 8711×99+8711
Answer:
the value of the following 8711×99+8711 is
Step-by-step explanation:
871100
Answer:
871100
Step-by-step explanation:
use BODMAS
first multiply 8711×99
=862389
Then add 862389+8711
=871100
In a survey of 302 registered voters, 167 of them wished to see Mayor Waffleskate lose her next election. Find a point estimate for the proportion of registered voters who wish to see Mayor Waffleskate defeated.
Answer:
A point estimate for the proportion of registered voters who wish to see Mayor Waffleskate defeated is of 0.553.
Step-by-step explanation:
Point estimate:
The point estimate of a proportion is the sample proportion(number of desired outcomes divided by the number of total outcomes).
Find a point estimate for the proportion of registered voters who wish to see Mayor Waffleskate defeated.
167 out of 302. So
[tex]p = \frac{167}{302} = 0.553[/tex]
A point estimate for the proportion of registered voters who wish to see Mayor Waffleskate defeated is of 0.553.
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Negate the conditional statement.
(~ a V ~ b) ►c
Please show your work and give an explanation.
(not a or not b) implies c <==> not (not a or not b) or c
so negating gives
not [(not a or not b) implies c] <==> not[ not (not a or not b) or c]
which we can simplify somewhat to
not (not (not a or not b)) and not c
(not a or not b) and not c
(not a and not c) or (not b and not c)
not (a or c) or not (b or c)
not ((a or c) and (b or c))
not ((a and b) or c)
the cost of 10 oranges is $6. what is the cost of an orange ?
Answer Choices:
$0.40
$0.60
$4
$6
Answer:
$0.60
Step-by-step explanation:
To find the cost of 1 orange, divide the $6 by 10:
6/10 = 0.6
Hope it helps (●'◡'●)
Suppose we increase the overall number of doctors in the U.S. in all fields and specialties of medical practice by equal percentages, which would shif
Answer: hi your question is incomplete below is the complete question
Suppose we increase the overall number of doctors in the U.S. in all fields and specialties of medical practice by equal percentages, which would shift the supply curves in all the respective medical practice markets. Suppose we were to analyze two separate medical practice markets: Plastic Surgery Cardiology Which markets' price would be most impacted by this increase in the supply of doctors? Which markets' quantity would be most impacted by this increase in the supply of doctors?
answer :
Change in Market price = Cardiology
Change in Quantity = Plastic surgery
Step-by-step explanation:
Given that we are analyzing two separate markets with different levels of importance .
The demand for plastic surgery is more elastic when compared with Cardiology and this is due to the importance of Cardiology over plastic surgery.
The market price that will be affected by the increase in doctors supply is Cardiology market price while the Market quantity that would be affected by the increase is quantity of Plastic surgery
Please help solve and explain this
can you put the whole question here
A Professor at a Nigerian University sent his phone number in a disorderly manner to his students. The disordered phone number was 82002273285.To know his real phone number, he gave the student the following conditions:(1) Eight (8) must come between two zeros (0's). (2)The first number after the first condition is met must not be an odd number and it must be greater than 5. (3)The seventh number must be 1. (4) The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.(5)The fifth and sixth numbers are greater than 2.(6)The ninth and tenth numbers are the same.(7)The eighth number is greater than the last number (8) The phone number must be 11 digits. What is the Professor's real phone number?
Answer:
I think you have a type.. "the seventh number must be a 1"
there are no 1's in the original set of numbers
Step-by-step explanation:
If I=square root-1 then i^2=
Answer:
i^−3 = i
i^−2 = −1
i^−1 = −i
i^0 = 1
i^1 = i
i^2 = −1
i^3 = −i
i^4 = 1
i^5 = i
i^ 6 = −1
See the pattern
what is the complete factorization of 8x^2-8x+2
Answer:
2x(4x-4+1)
Step-by-step explanation:
i hope it will help you
Answer:
x=1/2
Step-by-step explanation:
press the calculator
8x²-8x+2=0
x=1/2
min,x=1/2
min,y=0
after buying 55 books for Rs 50 each a man has rupees 3/4 of his money left how much he had at first?
Answer:
916.67 (corrected to 2 decimal places)
Hope I'm right, fingers crossed
Step-by-step explanation:
[tex]55 \times 50 = 2750 \div \frac{3}{4 } = 916.6666667[/tex]
The following data were collected from a simple random sample from an infinite population.
13 15 14 16 12
The point estimate of the population standard deviation is _____.
Answer:
15
Step-by-step explanation:
