Answer:
0.59
Step-by-step explanation:
Given that :
Probability of taking bus 1
P(b1) = 90% = 0.9
What is the probability that she will take bus 1 on all five days?
Five days from Monday to friday:
On Monday : p(b1) = 0.9
On Tuesday : p(b1) = 0.9
On Wednesday : p(b1) = 0.9
On Thursday : p(b1) = 0.9
On Friday : p(b1) = 0.9
Here we have an independent event:
Hence, probability of taking bus 1 on all five days :
(0.9 * 0.9 * 0.9 * 0.9 * 0.9)
= 0.59049
= 0.59
Item 19 Question 1 A nurse is making identical first aid bags for patients using 72 antiseptic wipes, 55 adhesive bandages, and 36 packets of ointment. What is the greatest number of identical first aid bags the nurse can make with the least amount of items leftover? Describe the contents of each bag.
Answer:
36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.
Leftovers: 19 adhesive bandages.
Step-by-step explanation:
First of all, let us try to find out the maximum number of identical first aid bags that can be prepared from the given contents.
The maximum number of bags that can be prepared will be equal to the quantity of the content which is available in minimum amount.
And that is number of packets of ointments.
Therefore, greatest number of bags that can be prepared is 36.
Now, it can be seen that 72 antiseptic wipes are available.
72 is a multiple of 36.
Therefore, if we put 2 antiseptic wipes in each bag, no leftovers will be there for packet of ointments and antiseptic wipes.
Now, let us consider adhesive bandages.
Maximum of 1 adhesive bandages can be put in each bag because only 55 such bandages are available.
Therefore, the answer is:
36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.
Leftovers: 19 adhesive bandages.
The sum of two consecutive odd integers equals 12. What are they?
xrepresents
integer
X+ 2 represents
integer
Answer:
x = 5
The two consecutive odd integers are: 5, 7
And...checking
sum = 12
Step-by-step explanation:
Name the property 8x/3 * 3/8x =1
Commutative property
commutative if changing the order of the operands does not change the result.
help asap I will make you brainllest.
10) Simplify the following expressions
-|-4|+|-7.2|
a)-11.2
b)3.2
c)11.2
d)-3.2
11) What is the opposite of
12)
13)
14)
Answer: (10) 3.2 (11) option 2 (12) option 4
(13) Distributive (14) Associative
Step-by-step explanation:
10) "Absolute value" makes the number positive.
- |-4| + |-7.2|
= - 4 + 7.2
= 3.2
11) "Opposite" changes the sign.
the opposite of [tex]-\sqrt{\dfrac{2}{5}}[/tex] is [tex]+\sqrt{\dfrac{2}{5}}[/tex]
12) Reciprocal means "flip" the fraction
the reciprocal of [tex]-\sqrt{\dfrac{2}{5}}[/tex] is [tex]-\sqrt{\dfrac{5}{2}}[/tex]
13) a(b + c) = ab + ac is the Distributive Property
[tex]-\sqrt5(2+X)[/tex]
= [tex]-\sqrt5(2) -\sqrt5(X)[/tex]
= [tex]-2\sqrt5 -X\sqrt5[/tex]
14) a · (b · c) = (a · b) · c is the Associative Property
[tex]20(4\sqrt5)[/tex]
= [tex](20\cdot 4)\sqrt5[/tex]
On Monday, 454 students went on a trip to the zoo. All 9
buses were filled and 4 students had to travel in cars. How many students were
in each bus ?
Answer:
50 students were in each bus.
Step-by-step explanation:
We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.
PLEASE HELP MEEE!!!!!
Answer:
use photmath or sum
Step-by-step explanation:
Answer:
a. given
b. addition property of equality
c. multiplication property of equality
SOME ONE PLEASE HELP!!! I HAVE A TEST SOON AND IDK HOW TO DO THIS!!!
im my wallet i have some quarters and some dimes. i have 16 coins in all and they total $2.95. how many of each coin do i have
THANK YOU SO MUCH ILY
Answer:
8 quarters and 8 dimes
Step-by-step explanation:
Answer:
9 quarters 7 dimes they equal $2.95
What is the property of 42x1=42
Which of the following are true about the graph of f(x)=−4x2?
Select the TWO that apply.
the answer is A and D
when you differentiate the question you find that the maximum point is (0,0)i.e
[tex] \frac{dy}{dx} = - 8x[/tex]
when dy/dx is 0 values of x are 0,0
and the function shows that valies of x are real numbers.
The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Given function as
f(x) = -4x²
The range is the set of values that correspond with the domain.
Range: (−∞,0], {y|y≤0}
Domain: (−∞,∞), {x|x∈R}
and the function shows that values of x are real numbers.
The maximum point is when differentiating the function, which is (0,0) i.e
dy/dx = -8x
Values of x are 0 when dy/dx is 0.
Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)
Learn more about the domain and the range here:
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solve 2m + 4m - 3m squared
how many feet is 14 meters
Answer:
45 ft. 11.18 in.
Step-by-step explanation:
Answer:
45.93176 feet
Step-by-step explanation:
1 meter = 3.28084 feet
3.28084(14) = 45.93176 feet
HURRY!!! THIS ASSIGNMENT IS ALREADY LATE! THANK YOU!
11. During an evening out, Dean paid a cab driver $20. He
then spent $25 on dinner and half of his remaining money on a painting. He bought an umbrella for $23.75 and had $42.15 left. How much money did Dean have at the beginning of the weekend?
Answer:
$176.80
Step-by-step explanation:
$42.12 (what he had left) + 23.75 = 65.90
65.90 (Amount he had after he bought the painting) + 65.90 (The other half of his remaining money he spent on the painting) = 131.80
131.80 + 25 + 20 = 176.80
= $176.80
Solve for x:
30 = 14 - 4(3 - x)
Answer:
-7
Step-by-step explanation:
First, distribute. 30 = 14 - 12 - 4x
Then, simplify and get the regular numbers one the left side.
30 = 2 - 4x 28 = -4x
Finally, divide both sides by -4 to get x by itself.
-7 = x
Sheila is going to the arcade with only 15 dollars to spend. The cost of each game is 75 cents and the price of admission into the arcade is 5 dollars. Which inequality can be used to solve for g, the number of games that she can play, and what is the maximum number of games she can play?
A - 5g + 0.75 <_ 15, 13 games
B - 0.75g + 5 <_ 15, 14 games
C - 0.75g + 5 <_ 15, 13 games
D - 5g + 0.75 <_ 15, 14 games
Answer:
C
Step-by-step explanation:
It is 75 cents a game plus 5 dollars admission. You should automatically subtract 5 dollars for admissions. That would give you ten dollars. You would just multiply how many games by how much they cost.
(You can also find the number of games first, and then solve the two inequalities that match that number backwards)
Hope this helps :)
-6x + 3x = -21 linear equations
well combine like terms
-3x = -21
divide both sides by -3
x = 7
Answer:
x = 7
Step-by-step explanation:
-6x + 3x = -21
Combine like terms
-3x = -21
Divide by -3
-3x/-3 = -21/-3
x = 7
In a sale a clothes shop reduces its prices by 25% a shirt usually costs $34 how much it’s after the sale?
Answer:
$25.5
Step-by-step explanation:
I added translation
Answer:
E.f(x)=log(x-1)
Step-by-step explanation:
f(x)=log(2-1)
=log1 (log1=0)
=0
Plss help i dont understand
help please because i am very dumb
Answer:
A.7,000
B20,000
c.300,000
Step-by-step explanation:
Help please I have a F and I’m confused..?
Answer:
x = -4
Step-by-step explanation:
x-5 = -9
Add 5 to each side
x-5+5 = -9+5
x = -4
Answer:
A. x = -4
Step-by-step explanation:
x - 5 = -9 (plus 5 on each side to get rid on 5 on the left side) so -9 + 5
x = -4
question is in the image but can you type out the answer :)
Answer:
H
Step-by-step explanation:
I searched it up :)
Answer:
H. {52, 72, 86, 105}
Step-by-step explanation:
Given 4 ordered pairs
The question asks for domain
The domain is the x-value of each ordered pair, and usually it is listed from least to greatest (increasing order)
Take out all of the x-values of the ordered pair 52,72,86,105
Notice that above is already in increasing order, so no further action is needed.
The domain for the situation is {52, 72, 86, 105}
determine if the given equations are functions or not function
x = 3, y² = -5x -12, x² + y² =81. are all not functions. the others are functions.
Step-by-step explanation:
I just did it
A function assigns the values. The correct options are C and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
An equation is said to be a function if for each different value of x(input) it should give a different output. Therefore, for different inputs of x, the value of the output y should be different and unique. Also, the values if the equation produces the same output for two values of x it also said to be a function.
A.)
x = 3, since for every value of x the value is 3, which is not possible. Hence, this is not a function.
B.)
x² + y² = 81
For the given equation if the value of x is given as 0, the value of y will be,
x² + y² = 81
0² + y² = 81
y² = 81
y = ±√81
y = -9, 9
Hence, this can not be a function.
C.) y = -x + 11
For the given equation if the value of x is kept anything the value of y will be different. Thus, this is a function.
D.)
y² = -5x - 12
For the given equation if the value of x is given as less than -2.4, there will be two values of y. Thus, the given equation is not a function.
E.)
y = 2x² - 6x + 4
The given function will return will the same value of y for 2 different values of x. Hence, this is a function.
F.)
y = -7
Since the given equation can only have the value of y as 7. Therefore, it is not a function.
Hence, the equations that are a function are y = -x + 11 and y = 2x² - 6x + 4.
Learn more about Function:
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How many lines of symmetry does this figure have?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.
On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 hour. What is the difference in her usage rates in quarts per hour?
A.14
B.23
C.415
D.1615
Answer:
(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr
The rule for division of fractions is: invert the denominator and multiply.
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
***(just need equations)***
Answer:
Madelyn bought 2 bags of popcorn and 8 pretzels.
Step-by-step explanation:
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of pretzels}
the number of pretzels
One bag of popcorn costs $6.50, so xx bags of popcorn cost 6.50x.6.50x. One pretzel costs $3.25, so yy pretzels cost 3.25y.3.25y. The total 6.50x+3.25y6.50x+3.25y equals \$39:$39:
6.50x+3.25y=39
6.50x+3.25y=39
Since Madelyn bought 4 times as many pretzels as bags of popcorn, there are more pretzels, so if we multiply 4 by the number of bags of popcorn, we will get the number of pretzels, meaning yy equals 4x.4x.
y=4x
y=4x
\underline{\text{Write System of Equations:}}
Write System of Equations:
6.50x+3.25y=
6.50x+3.25y=
\,\,39
39
y=
y=
\,\,4x
4x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
6.50x+3.25y=39
3.25y=−6.50x+39
3.25
3.25y
=
3.25
−6.50x+39
y=−2x+12
y=4x
0
the number of bags of popcorn
the number of pretzels
x
y
(2, 8)
0
the number of bags of popcorn
the number of pretzels
The xx variable represents the number of bags of popcorn and the yy variable represents the number of pretzels. Since the lines intersect at the point \left(2, 8\right)(2,8) we can say:
Madelyn bought 2 bags of popcorn and 8 pretzels.
Please Help!!
Thanks
Answer:
I think should add up to 360° because supplementary angles add up to 180°and in this case we have 2 angles
Answer:
180 degrees
Step-by-step explanation:
If two angles are supplementary when their measures add up to be 180
I attached an example of supplementary angles as well you can check
George is making brown paint he wants to make brown paint he must mix purple and yellow paint together in a 1:1 ratio. In order to make purple he must mix red and blue paint together at a ratio of 2 quarts red to 1 quart of blue. How many quarts of yellow does he need
Answer:
3/4 quarts of yellow paint is needed
Step-by-step explanation:
From the question, we are told that:
In order to make purple he must mix red and blue paint together at a ratio of 2 quarts red to 1 quart of blue.
3 quart of Purple paint mix requires 2quarts of red paint and 1 quart of blue paint.
We are also told that:
When George wants to make brown paint he must mix purple and yellow paint together in a 1:1 ratio.
This means 1 Purple paint to 1 Yellow paint
4/4 quarts of Yellow paint = 1 yellow paint
3/4 quarts of Yellow paint = 3/4 quarts of purple paint
PLEASE HELP QUICK
What's the equation of the graphed line?
a. -3x + 4y = 4
b. -3x – 4y = -4
C.-4x + 3y = 3
d. -4x – 3y = -3
Answer:
-3x – 4y = -4
Step-by-step explanation:
Write a positive or negative integer that represents the situation.
The temperature rises 17 degrees.
Answer:
+17
Step-by-step explanation:
Q
100%
What is 110 divide 2?
Answer: 55
110 ÷ 2 = 55 110 in half is 55 because 10 in half is 5 and 100 in half is 50 so 55 +5 = 55
110÷2=55
Step-by-step explanation:
