Answer:
y = |x| + 3
Step-by-step explanation:
The point moved up the y-axis positive 3 units.
Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)
i take out the belt for u my I0ved 1.
no h0.mõ if u a man. . .
Answer:
Truw
Step-by-step explanation:
It is exceptional
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
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HELP!!! find the value of x
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
What percent of the large square is shaded?
Answer:
48%
Step-by-step explanation:
a little less than half is shaded
The percent of the shaded square will be 48%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A large square is shown in figure.
Now,
In a figure,
The number of small squares = 100
And, Number of shaded squares = 48
Hence, The percent of shaded square = 48/100 × 100
= 48%
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Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!
Answer:
i think its C and E
Step-by-step explanation:
( correct me if im wrong, i hope this helps!! )
Which equation represents the line shown in the graph?
5.
4
3
2
1
-6 -5 -4 -3 -2 -1 0
2
4 5
6
-2
-3
-4
-5
-6
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$
Answer:
(a) 0.3863
(b) $693
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
We solve this question using the z score formula
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x > $646
z = $646 - $633/$45
z = 0.28889
Probability value from Z-Table:
P(x<646) = 0.61367
P(x>646) = 1 - P(x<646) = 0.38633
Approximately = 0.3863
The probability that the actual costs will exceed the budgeted amount is 0.3863
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.
Let the budgeted amount = x
Converting 0.09 to percentage = 0.09× 100% = 9%
100 - 9% = 91%
We find the z score of 91%
= 1.341
We are to find x
Using z score formula
z = (x-μ)/σ
1.341 = x - 633/45
Cross Multiply
1.341 × 45 = x - 633
60.345 = x - 633
x = 60.345 + 633
x = $693.345
Approximately to the nearest dollar is $693
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
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A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar
how many hours and minutes are there between 9:30 and 1:50
Answer:
4 hours and 20 minutes!
Answer:
Step-by-step explanation:
PM or AM?
If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.
if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.
If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.
Need help fast!!
Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT
Answer:
4 miles
Step-by-step explanation:
four times six equals 24
its the number of miles times six equals the minutes
please look at the question, I uploaded it!
Answer:
angle JKL is 21
Step-by-step explanation:
the angle of the two triangles are the same, so (2x + 1) = (3x - 9)
You would then find the x, which equals to 10.
Then replace x with ten with the equation.
Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
what are two ratios that are equivalent to 1:1
Answer:
2:14 and 3:21
Step-by-step explanation:
The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know
Answer:
Step-by-step explanation:
The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.
You need at least one properly placed side to make them congruent.
pls i need help due tonight
Answer:
-3/4
Step-by-step explanation:
-1 1/4 = -5/4
1/2 = 2/4
-5 + 2 = -3
-3/4
Answer: The answer is -3/4
Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.
1. If the spinner below is spun once, find each
probability.
Answer: P(4) - 4/12,1/3,33%,0.33
Step-by-step explanation:
My teacher went over the answers
2 divided into 3 multiply 1
Answer:
either 2/3
or 3/2
but its probably 2/3
thanks for the easy points!
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!
Evaluate w divided by z if w= 6/7 and z= 3
Answer:
[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
Given that,
[tex]w=\dfrac{6}{7}[/tex]
z = 3
We need to find [tex]\dfrac{w}{z}[/tex].
Put w = 6/7 and z = 3 in the w/z
[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]
So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.
A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?
9514 1404 393
Answer:
80.67 fps
Step-by-step explanation:
1 mi/h = 22/15 ft/s
Multiplying this equation by 55, we get ...
55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s
What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km
The area of figure will be;
⇒ 105.56 km²
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is shown.
Now,
The area of figure is find as;
Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)
= 84 + 3.14 × 4 + 9
= 93 + 12.56
= 105.56 km²
Thus, The area of figure will be;
⇒ 105.56 km²
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Use the following definition of absolute value to prove the given statements: If x is a real number, then the absolute value of x , | x | , is defined by: | x | = { x if x ≥ 0 − x if x < 0 For any real number x , | x | ≥ 0 . Moreover, | x | = 0 implies x = 0 . For any two real numbers x and y , | x | ⋅ | y | = | x y | . For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Answer:
Proved all parts below.
Step-by-step explanation:
As given ,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0
b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .
c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Proof -
a)
As given x is a real number
Also , by definition of absolute value of x , we get
| x | ≥ 0
Now,
if |x| = 0
⇒ x = 0 and -x = 0
⇒ x = 0 and x = 0
⇒ x = 0
∴ we get
| x | = 0 ⇒ x = 0
Hence proved.
b)
To prove - | x | ⋅ | y | = | x y |
As we have,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]
|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]
We have 4 cases : i) when x > 0 , y > 0
ii) when x > 0 , y < 0
iii) when x < 0, y > 0
iv) when x < 0, y < 0
For Case I - when x > 0 , y > 0
⇒ |x| = x, |y| = y
⇒|x|.|y| = xy
For Case Ii - when x > 0 , y < 0
⇒ |x| = x, |y| = -y
⇒|x|.|y| = -xy
For Case Iii - when x < 0 , y > 0
⇒ |x| = -x, |y| = y
⇒|x|.|y| = -xy
For Case IV - when x < 0 , y < 0
⇒ |x| = -x, |y| = -y
⇒|x|.|y| = (-x)(-y) = xy
∴ we get , from all 4 cases
| x | ⋅ | y | = | x y |
Hence Proved.
c)
To prove - | x + y | ≤ | x | + | y |
Let
|x| = |x + y - y|
≥ |x + y| - |y| ( Triangle inequality)
⇒ |x| + |y| ≥ |x + y|
Hence Proved.
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
What is the solution
A. -2
B.1
C.(1,2)
D.(1,-1)
Answer:
Option D
Step-by-step explanation:
Two lines given in the graph represent the system of linear equations.
Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.
Point of intersection of these lines → (1, -1)
Therefore, solution of the given system of equations will be (1, -1)
Option D is the answer.