Sandra worked to earn 5433.35. If she worked for 28 hours, how much money does Sandra earn per hour? 5
Blank 1:
Answer:
$194.05 per hour
Step-by-step explanation:
Divide her total earnings by 28:
5433.35/28
= approximately 194.05
So, Sandra earns about $194.05 per hour
2x+4y=22
-x=2y-11
does it have no solution?
Answer:
No, it actually has infinite solutions.
Step-by-step explanation:
2x+4y=22 is your 1st equation
-x-2y=-11 is your 2nd equation.
Let's say you want to cancel out the x variable. Multiply the 2nd equation by 2.
Then your equations would be:
2x+4y=22
-2x-4y=-22
If you add both you will get 0=0
Since both sides are equal to each other, there are infinite solutions.
A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.
x 0 1 2 3 4 or more
% 43% 35% 15% 6% 1%
(a) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.
(b) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)
(c) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to two decimal places.)
μ = fish
(d) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to three decimal places.)
σ = fish
Answer:
a. 0.57
b. 0.22
c. 0.87
d. 0.9450
Step-by-step explanation:
A.
P(X>=1)
= 0.35 + 0.15 + 0.06 + 0.01
= 0.57
This is the probability of catching one or more fishes.
b.
P(X>=2)
0.15 + 0.06 + 0.01
= 0.22
This is the probability of catching 2 or more fishes.
C.
Compute μ
μ = E(X)
= (0x0.43) + (1x0.35) + (2x0.15) + (3x0.06) + (4x0.01)
= 0+0.35+0.3+0.18+0.04
= 0.87
D.
The standard deviation
Sd = √V(X)
V(X) = E(X²) - (E(X))²
E(X²) = (0²x0.43)+(1²x0.35)+(2²*0.15)+(3²*0.06)+(4²*0.01)
E(X²) = 0.35+0.6+0.54+0.16
= 1.65
V(X) = 1.65 - (0.87)²
= 1.65 - 0.7569
= 0.8931
Sd = √0.8931
= 0.9450
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Which expression is equivalent to 9x5y16 this is timed help
kazito sold an item for sh 4950 and made a 12 ¹/2profit.what was the cost price of the item?
Answer:
[tex]Cost\ Price = 4331.25[/tex]
Step-by-step explanation:
Given
Selling Price = Sh. 4950
Profit = 12.5%
Required
Determine the cost price
Profit is calculated as:
[tex]Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%[/tex]
Substitute values for Selling Price and Profit
[tex]12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%[/tex]
Cross Multiply:
[tex]4950 * 12.5\% = (4950 - Cost\ Price) 100\%[/tex]
[tex]\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)[/tex]
[tex]618.75 = (4950 - Cost\ Price)[/tex]
Collect Like Terms
[tex]Cost\ Price = 4950 - 618.75[/tex]
[tex]Cost\ Price = 4331.25[/tex]
Hence, the cost price of the item is: Sh. 4331.25
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
x + 2y = 6
2x − 3y = 26
4x − 2y =−6
y = 2x − 4
2x − y = 4
6x − 3y = 12
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
x + 2y = 6
2x − 3y = 26
4x − 2y =−6
y = 2x − 4
2x − y = 4
6x − 3y = 12
Answer:
one solution, no solution, infinitely many solutions
Step-by-step explanation:
I rearranged the first equation into x=6-2y
plug that into the second equation
2(6-2y)-3y=26
12-4y-3y=26
12-7y=26
-7y=14
y=-2
Then you plug that into one of the equations
x+2(-2)=6
x-4=6
x=10
The solution to the first system is (10,-2)
the second system already has one equation as something equal to a single variable so you just plug that into the other one
4x-2(2x-4)=-6
4x -4x +8 =-6
8=-6
this is a false statement so the system of equation has no solution
Lastly I rearranged the first equation into y=2x-4 and then plug that in
6x-3(2x-4)=12
6x-6x+12=12
12=12
this statement is true so the system of equations has infinite solutions
The Picture has the question
Answer:
Pythagorean Theorem:
a² + b² = c²
x² + 5x² = 78²
6x² = 6084
6x²/6 = 6084/6
x²=1014
√x² = √1014
x = 31.84
Mark Brainliest Please
Answer:
x ≈ 15.3
Step-by-step explanation:
Based on the pythagoras theorem
[tex]a^{2} + b^{2} = c^{2}[/tex]
Since the legs are "5x" and "x" we know the following....
[tex](5x)^{2} + x^{2} = 78^{2} \\25x^{2} + x^{2} = 6084\\26x^{2} = 6084\\x^{2} = 234\\x = \sqrt{234} \\x = 15.3[/tex]
(This is round did to the nearest tenth)
Pls help i need help ahhhh
Answer:
i believe a is -2.9
Step-by-step explanation:
do u want me to figure out the rest or did u just need me to do that one?
Find the value of g (x) = 7/8 x - 1/2 where x is 7
Answer:
5.625
Step-by-step explanation:
1 poin
A tall building casts a shadow that is 250 feet long. A nearby person is 6
feet tall, and casts a shadow that is 8 feet long. How tall is the building?*
200 feet
180 feet
192 feet
187.5 feet
Answer:
The building is 187.5 feet tall.
Step-by-step explanation:
A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.
This means that the relation between the real height and the shadow is given by:
[tex]\frac{6}{8} = \frac{3}{4}[/tex]
A tall building casts a shadow that is 250 feet long. How tall is the building?*
The real height is three fourths of the shadow. So
[tex]\frac{3}{4}*250 = 187.5[/tex]
The building is 187.5 feet tall.
What is the multiplicative rate of the change of the function?
Since X increases by 1,
Divide the 2nd Y value by the first Y value:
4/6 = 2/3
The answer is 2/3
A line passes through the points (4,20) and (8,24) Write a linear function rule in terms of x and y for this line. The linear function rule is y=
Answer:
so m=2 so y=2x+-3
Step-by-step explanation:
The linear function rule is y = x + 16
What is a Linear equation?
A linear equation is an algebraic equation of the form y = mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, A line passes through the points (4,20) and (8,24)
From the slope-intercept form of a line:
Y = mx + c
Where,
m = slope = (y₂ - y₁)/ (x₂ - x₁)
c = constant
In our case,
m = (24 -20)/ 8-4
m = 4/4
m = 1
So the equation of a line
y = x + c
Since, this line passes through the point(4, 20)
20 = 4 + c
c = 16
Therefore, the equation of the line passes through the points (4,20) and (8,24) is y = x + 16
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ2
Helppp please !!!!!!!
Answer:
mentally "cut" the two different figures where they connect and find the area separately and then add them together:
4*15 = 60
11*10= 110
110+60= 170 sq mm
Step-by-step explanation:
i hope this helped :)
3) Which expression is equivalent to: 6(7-2) *
O 67-62
O42-12
O 7-2
O 13 - 8
Answer:
42-12
Step-by-step explanation:
Here you go mate
Step 1
6(7-2) Equation
Step 2
6(7-2) simplify
6x5
answer
42-12=30 check
Round 48.078 to the nearest tenth
Answer:
50
Step-by-step explanation:
48 rounds to 50
ANSWER: 50
Answer:
48.1
Step-by-step explanation:
5 and up, add 1
4 and down, don't change and the numbers after are gone.
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
Answer:
Y-intercept is (0,8)
Step-by-step explanation:
The line of an equation is y=mx+b. M in this case is 1 and "b" is the y intercept. since in the place of b is positive 8 the y-intercept is 8
find two numbers if there sum is 7.2 and their difference is 2.7
Answer:
2.25 and 4.95
Step-by-step explanation:
x + y = 7.2
x - y = 2.7
x = 7.2 - y
x - y = 2.7
(7.2 - y) - y = 2.7
7.2 - 2y = 2.7
-2y = 2.7 - 7.2
-2y = -4.5
-2y/-2 = -4.5/-2
y = 2.25
x + y = 7.2
x + 2.25 = 7.2
x = 7.2 - 2.25
x = 4.95
Check: 4.95 and 2.25
x + y = 7.2
(4.95) + (2.25) = 7.2
7.2 = 7.2
x - y = 2.7
(4.95) - (2.25) = 2.7
2.7 = 2.7
Answer:
x+y=7.2
x-y=2.7
Step-by-step explanation:
equation
x+2.7+x=7
2x=4.3
x=4.3/2
y=7-4.3/2
how do you solve this equation -5=u+6
Answer:
Step-by-step explanation:
u+6 = - 5 Subtract 6
u + 6 - 6 = - 5 - 6
u = - 11
Try thinking this as money. If you are 5 dollars in the hole and you borrow another 6 dollars, where are you?
The answer is that unless you pay your debt of 5 dollars, you are - 11 dollars in the hole.
need help asap please!
Answer:
38 is the correct answer plz tell me if im wrong
Step-by-step explanation:
What is the surface area of the right prism given below?
A. 456 units2
B. 504 units2
C. 552 units2
D. 912 units2
Answer:
B. 504 units²
Step-by-step explanation:
We multiply 6 and 8, we don't need to divide by 2 since there are two congruent triangles. That gets us 48. Now, we multiply 19 and 8. That gets us 152. Now, we multiply 6 and 19. That gets us 114. We have found the area of all sides but one. To do this one, we need to calculate the hypotenuse of the triangle. The following screenshot has the formula to calculate hypotenuse. If a is equal to 6, and b is equal to 8, we can do this formula. 6² is 36, and 8² is 64. Now, we add 36 and 64. That gets us 100. The square root of 100 is 10. That means the hypotenuse of this triangle is 10. Now, we multiply 10 and 19 to get 190. Now, we add up the area of all the sides (48 + 152 + 114 + 190). That gets us 504. That means B is our answer.
please i need help!
Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much I will give brainliest
Answer:
80˚
Step-by-step explanation:
Since the angles are equal, we can make this equation:
2x + 65 = 8x + 5
60 = 6x
x = 10
so if we put x = 10 in 8x + 5 we get
8x + 5
8(10) + 5
80 + 5
85
Ignore the one I filled in
Please help tho!
Answer:
it's the last one
Step-by-step explanation:
In triangle ABC, G is the centroid and BE = 9. Find BG and GE.
Craig earns extra money as a lifeguard he earns $37 for 4 hours and $64.75 for 7 hours. write and equation for the following proportional relationship
Answer: m = 9.25h
Step-by-step explanation:
The money he earns per hour is $9.25
m = total money h = hours he worked
m = 9.25h
2
x
Solve for n.
2n + 3 = -3. 2
Enter the answer in the box.
Answer:
n = -3.1 ♥Step-by-step explanation:
[tex]2n + 3 = -3. 2\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\2n+3-3=-3.2-3\\\\Simplify\\\\2n=-6.2\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2n}{2}=\frac{-6.2}{2}\\\\Simplify\\\\n=-3.1[/tex]
Dogs or cats which one is better???
Answer:
dogs
Step-by-step explanation:
they are more freindly
Answer:
dogs
Step-by-step explanation:
i just had to take a test and one of the questions was to write an essay about dogs or cats being better so i searched it up and it said dogs
9/7 simplified is?
a) 21/14
b) 21/7
c) 22/7
d) 21/3
Answer:
None of those answers is true.
Step-by-step explanation:
Answer:
None
Step-by-step explanation:
An expression is shown below.
(x4/3)(x2/3)
What is the product of the two factors?