9514 1404 393
Answer:
+12,008,304
Step-by-step explanation:
Your calculator can tell you the product is positive. (Any product involving an even number of minus signs will be positive.)
(-38)(378)(-836) = (38)(378)(836) = 12,008,304 . . . a positive answer
The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
Answer:
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
The phone lines to an airline reservation system are occupied 61% of the time.
This means that [tex]p = 0.61[/tex]
If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
This is P(X = 5) when n = 11. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.
What is the unit rate of her speed in miles per minute?
Answer:
Her speed is 0.05 miles per minute
Step-by-step explanation:
The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:
0.5 miles in 10 minutes. So
0.5/10 = 0.05 miles per minute
Her speed is 0.05 miles per minute
what is 0.48 times 0.4
Answer:
0.193
Step-by-step explanation:
Question is in the Picutre attached.
Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)
5 is 1% of what number?
Answer:
500
Step-by-step explanation:
well uh, 5 x 100 is 500 and it’s out of 100%.
Answer:
500
Step-by-step explanation:
Solve for x : 5= 2+3x. Single choice. answer choices:
x=7/3
x=1
x=-1
Answer:
answer is x=1
Step-by-step explanation:
][[[[[[[[[
greg wants to buy a video game.the game is 50% off and the original price is $40.00how much will greg have to pay for this video game
Answer:
its 4.00%
Step-by-step explanation:
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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pls solve for x, will give brainliest to whoever
Answer:
60 degrees
Step-by-step explanation:
all angles of an equilateral triangle are 60 degrees
Answer:
x=60
Step-by-step explanation:
We know that since all sides are the same, all angles are the same.
x=angle
(180) is the amount of degrees when you add up all of the angles in the triangle
3x=180
x=60
what is the area of a circular swimming pool with the radius of 3 feet
Answer:
9[tex]\pi[/tex]
Step-by-step explanation:
r=3
Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]
Put these fractions in order of size
Choose >, <, or = to compare each pair of numbers
5.31 ______ 5.13
Answer:
>
Step-by-step explanation:
Answer:
5.31 > 5.13
Step-by-step explanation:
5.31 is greater than 5.13 as it is farther than 5.13 on the number line.
boole summation formula used in real life
The total for some groceries at the store was $25.63. With 8% sales tax, what is the total? $
Answer:
$2.05
Step-by-step explanation:
just do the math bro
Answer:
$27.72
Step-by-step explanation:
I hope this helps!!!
Choose the number that correctly completes the ratio table.
Answer:
its 8:9
Step-by-step explanation:
It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.
A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?
Answer:
15
Step-by-step explanation:
50 times 30 over 100 you will get 15
In order of operation plsss help 10/5 + 3 x 5 - 5
Consider proving the following.
Given Right isosceles △ABC with leg length 2s, right isosceles △WXY with leg lengths s, CA¯¯¯¯¯¯¯¯∥WY¯¯¯¯¯¯¯¯¯
Prove △ABC is similar to △WXY.
A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?
1. Rotate △ABC′ 90∘ about point A.
2. Reflect △WXY in WX←→− to create △WXY′.
3. Translate △ABC′so that point A maps to point W.
4. Find the hypotenuse of △ABC′ in terms of s.
Answer: 2
Step-by-step explanation:
The absolute value of -15 is -15 because -15 is 15 units to the left of zero
Answer: False
Step-by-step explanation: The absolute value of -15 is 15.
2. Write the equation –3x + 5y = 10 in slope-intercept form.
9 × 10²
I NEED ANSWERS QUICK
Pls help!! i beg you
Answer:
fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase
Hope It Helps!
Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.
Answer:
Step-by-step explanation:
The middle three expressions are equivalent.
Answer:
The above answer is correct
hope it is helpful to you
Solve for x
7x−4≤6
Give your answer as an improper fraction in its simplest form.
Answer:
X≤10/7
Step-by-step explanation:
7x-4≤6
add 4 both sides
7x-4+4≤6+4
7x≤10
divide 7 both sides
7x/7≤10/7
x≤10/7
hope it's helpful ❤❤❤❤
THANK YOU.
The solution of the given inequality is x≤10/7.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality can be simplified for the value of x as shown below.
7x − 4 ≤ 6
Add 4 both sides,
7x - 4 + 4 ≤ 6 + 4
7x≤10
Divide 7 both sides,
7x/7 ≤ 10/7
x ≤ 10/7
Hence, the solution of the given inequality is x≤10/7.
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A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends
$16.02 on 3 paint sets at the sale price.
What was the price of I paint set before the sale? Enter the answer in the box.
Answer:
$6.89
Step-by-step explanation:
Answer:
6.89
Step-by-step explanation:
when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
Compare the numbers using >,<, or =
874,023______874,233
5,493,820______5,492,483
Answer:
<
>
Step-by-step explanation:
We have two sets of numbers and are asked to compare using the <, >, = symbols.
Remember :
< means less than
> means greater than
= means equal to
One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?
874,223.
<
Now for the second set,
>
I need help with this
Answer:
x = 104 degrees
Step-by-step explanation:
A line like this will always have a measure of 180 degrees, therefore when the two sides are combined, it must equal 180, which means you can set up an equation and x can be determined
72 + x + 4 = 180
76 + x = 180
-76 -76
x = 104 degrees
Hope this helps!
Find the exact value of csc 5pi/6
Answer:
csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)
Step-by-step explanation:
csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.
csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]
but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]