The probability of landing a 1 in dice and getting heads in coin is 1/12 , Option D is the right answer.
What is Probability ?Probability is defined as the study of likeliness of an event ot happen ,
It has a range of 0 to 1.
When a dice having 6 side is rolled , and a coin is tossed
P( 1 and H ) = ?
The probability of landing 1 is P(1) = 1/6
The probability of heads is P(H) = 1/2
The probability of landing an H and 1 is given by the product of the independent probabilities.
P( 1 and H ) = (1/6) * (1/2) = 1/12
Therefore the probability of landing a 1 in dice and getting heads in coin is 1/12 , Option D is the right answer.
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A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0). Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points) Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points) Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
The maximum daily profit the company can earn is $2,350.
It is a set of points in a coordinate plane that represents the values of the function for different inputs.
The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.
Therefore, the maximum daily profit the company can earn is $2,350.
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Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games. In her simulation, the numbers 0–2 represent a win, and the numbers 3–9 represent a loss. Select all the trials whose results show 3 wins in 7 games played. A. 8531905 B. 4963184 C. 7269108 D. 0689271 E. 7042351 F. 9094562
Answer:
C. 7269108
D. 0689271
E. 7042351
Step-by-step explanation: If the number is 0,1 or 2, it is a win. Otherwise, it is a loss. Each number is a match.
Michael Sears’ standard work is 35 hours at a rate of $8.675 per hour he earns time and a half for weekend hours this week he worked 3 extra hours on Saturday what is his total pay for the week
9514 1404 393
Answer:
$342.66
Step-by-step explanation:
For the 3 overtime hours Michael worked, he is paid at the rate of 1.5×$8.675 per hour. This is equivalent to $8.675 per hour for 1.5×3 = 4.5 hours. So, we can figure Michael's total pay as ...
(35 h + 1.5×3 h)×($8.675 /h) = (39.5 h)×(8.675 /h) = $342.66
Michael's total pay for the week is $342.66.
Jaclyn is training for a long bike ride. Right now, her longest ride is 30 miles. She plans to add 8 miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after 7 weeks. Do not include units in your answer.
The linear equation is y = 8x + 30.
The solution to the problem is: 86.
How to Apply a Linear Equation to Solve Word Problem?In slope-intercept form, a linear equation is expressed as y = mx + b, where:
b is the initial value or starting value (y-intercept)
m is the slope or unit rate or rate of change.
In the situation given, we have the following:
x = number of weeks
y = total length over time
Initial/starting value (b) = 30 miles
Slope/unit rate (m) = 8 miles
To write the linear equation that would be used to determine the length of Jaclyn's longest ride after 7 weeks, substitute m = 8 and b = 30 into y = mx + b:
y = 8x + 30.
Substitute x = 7 into y = 8x + 30 to find the length of Jaclyn's longest ride after 7 weeks:
y = 8(7) + 30
y = 86
The solution is: 86.
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(20 POINTS!!!!) Terry realized that 25% of his money was $12.50. He made a double number line to represent this. What number would go in the first missing box?
Step-by-step explanation:
try 12.50x25% i think
Answer:
25.00 and 50
Step-by-step explanation:
i need to add this fraction i need to know the explantion and answer Add: 3 38
+ 7 34
The addition of the given fraction numbers 3(3/8) and 7(3/4) is, 89/8
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
Two fraction numbers,
3(3/8) and 7(3/4)
The addition of two fraction number is,
⇒ 3(3/8) + 7(3/4)
In simple form it can be written as,
⇒ 24+3/8 + 28+3/4
⇒ 27/8 + 31/4
LCM Of 8 & 4
= 8
⇒ 27/8 + 31×2/4×2
⇒ 27/8 + 62/8
⇒ (27 + 62)/8
⇒ 89/8
Hence, the result is 89/8
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what is the answer to 15x+6y
Answer:
x = -0.4y
Step-by-step explanation:
Simplifying
15x + 6y = 0
Solving
15x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
15x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
15x + 0 = 0 + -6y
15x = 0 + -6y
Remove the zero:
15x = -6y
Divide each side by '15'.
x = -0.4y
2. Maja's construction company builds tiek houses, the number of her on insistines da
thsaadhoursifierraar
Hours Worked
Bricks lastalled
&
3680
7
6
$260
a Deline variables for the quantities that are changing in this problemiton,
b Analyze the table to determine the constant of proportionality,
• What does the constant of proportionality mean in this situation?
d. Write an equation to show the relationship between the number of hours worked, the number of
bricks Installed, and the constant of proportionality
e Use your equation to determine how many bricks Maya's crow can install in 5.5 hours.
Use your equation to determine how many hours it will take Meye's crew to instal 840 bricks.
3. Given a value for the input variable, x, and the output variable, y, calculate the constant of
proportionality
a. >= 21 and y=6
b. x= 60 and y = 18
.*
2 and y=73
d. x= 4 and y= 3.9
LESSON 2.0
Answer:
3940693740573ERRORCODE:3940693740573
Please help math thank you!!!
Answer:
I believe it's A, since the rotation went to the positive side of y and negative side of x
Step-by-step explanation:
Pls help answer fast rapidly is of khan academy:
Answer:
expanded: 7+0.08
standard: 7.08
Step-by-step explanation:
The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.
Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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The area of a square is 81cm2.Find the length and perimeter.
Answer:
Step-by-step explanation:area= s*s
so~ the side will be 9 as 9*9=81
n the perimeter = 4*9= 36
The length is 9 cm
The perimeter is 36 cm.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment.
A giant satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 300 feet and. depth of 44 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest foot.
The answer of given parabola question is 6.125ft.
The definition of a parabola?a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.
x² = 4py
x=radius which can be found by dividing d=14ft by half
x = d/2 = 11/2 = 7ft
y=2ft is the depth
p is the vertex of the parabola
finding p;p = x²/4y
p = 7²/4×2
p=6.125ft
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a 2-quart cartoon od chocolate milk costs 1.52 what is the price per cup
Answer:
The price per cup is $0.19
Step-by-step explanation:
In a quart there are 4 cups.
1.52÷4=0.38
But because there are 2 quarts you have to divide it by 2.
Which is 0.19
Thats the answer
Pls give Brainliest
Im desperate...
If 4.5 pounds of chocolate cost $10, how
many pounds of chocolate can be
purchased for $12?
I think 5.4
4.5÷10= 0.45
0.45x12=5.4
Ben's living room is a rectangle measuring 10 yards by 168 inches. By how many feet does the length of the room exceed the width?
Answer:
Step-by-step explanation:
First, we need to convert the measurements to the same unit. Since the length is given in yards and the width is given in inches, we will convert the length to inches for consistency:
Length = 10 yards × 3 feet/yard × 12 inches/foot = 360 inches
Now we can find the difference in length and width:
Difference = Length - Width
Width = 168 inches ÷ 12 inches/foot = 14 feet
Difference = 360 inches - 14 feet = 360 inches - 168 inches = 192 inches
To convert inches to feet, we divide by 12:
Difference = 192 inches ÷ 12 inches/foot = 16 feet
Therefore, the length of the room exceeds the width by 16 feet.
help pls 20 points (pls answer correctly im asking nicely)
Answer:
675
Step-by-step explanation:
12x25=300
15x25=375
then you add them together 675
Answer:
775 feet cubed
Step-by-step explanation:
15 x 12 x 5 = 900
you then need to subtract the empty space
5 x 5 x 5 = 125
900-125= 775
drag the tiles to the correct boxes to complete the pairs.
the graph shows a quadratic function f(x).
Answer:
Nothing
Step-by-step explanation:
There is no real question or graph
he polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 Find a possible formula for P ( x ) .
f]
The possible formula for the polynomial in discuss whose roots are described as; having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is; P(x) = x^5 -5x⁴-6x³+18x².
What is the polynomial in discuss whose roots and leading coefficient are as discussed?The polynomial which is as described in the task content whose roots are as given can be written in its factorised form as follows;
P(x) = (x-3) (x-3) (x) (x) (x+1)
The expanded form is therefore;
P(x) = x^5 - 5x⁴- 6x³+ 18x².
Therefore, the polynomial having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is P(x) = x^5 - 5x⁴- 6x³+ 18x².
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Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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Identify the axis of symmetry, vertex, and range for the quadratic function.
Calculate the missing angles a, b, c, and d in the diagram below, giving a reason for each answer
Answer:
see below and attachment
Step-by-step explanation:
a=30°
because, the marked angle of 30° is an alternate interior angle to angle a. Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.
b=50°
because the marked angle of 50° is a vertical angle to angle b. Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.
c=50°
because the marked angle of 50° is a corresponding angle (same side angle) to angle c. These corresponding angles are congruent because the 2 horizontal lines are parallel.
d=100°
because the 3 interior angles of a triangle must add up to 180°. We have 30°, 50°, so the last angle must be 100°. We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°. We have angle a as 30°, angle c as 50°, so angle d must be 100°.
Hope this helps! See attachment for visual.
what is a factor of x^4 + 8^x 3 + 17 x^2 − 2x − 24 ?
Answer:
factors are (x-1),(x+2),(x+4),(x+3)
please help with number 13 !
Answer:
Look at Attached image.
Step-by-step explanation:
Shade 3/10 in the column then 9/10 in the row.
The answer is how much is cross shaded with both colors.
Here , we are given with a square which has 100 small squares in it , now we have to use two colours to represent 0.3 × 0.9 on it . So , now let's proceed :-
\({:\implies \quad \sf \dfrac{3}{10}\times \dfrac{9}{10}}\)
\({:\implies \quad \sf \dfrac{27}{100}}\)
Now , here , we have to colour 27 boxes with a colour and the left (100-27) = 73 boxes with another colour . Colour can be any of your choice
Refer to the attachment for better understanding too :D
louisa cuts 7 pieces of yarn. each piece is 28 hundredths meters long. what is the total length of yarn louisa cuts?
Answer:
216
Step-by-step explanation:
Here, we are required to find the total length of yarn louisa cuts?
Number of pieces of yarn = 7
Length of each piece of yarn = 28 hundredths meters long.
Tenth = 0.1
Hundredth = 0.01
Thousandth = 0.001
28 hundredths = 28 × 0.01
= 0.28
Therefore,
Length of each piece of yarn = 0.28 meters long
Total length of yarn louisa cuts = 0.28 meters long × 7 pieces
= 1.96 meters long
In conclusion,
Total length of yarn louisa cuts is 1.96 meters long
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Four people recorded the number of minutes they exercised today. Mackenzie exercised for 3 as many minutes as Brinley. Brinley exercised for 17 fewer minutes than Ariana. Ariana exercised for 3 times as many minutes as Seth Together, Ariana and Mackenzie exercised for 20 more minutes than Brinley and Seth. Let z represent the number of minutes Seth exercised.
Answer:
False
True
True
False
Yw hope this helped yall
Step-by-step explanation:
The equation represents this situation is
3x + 1/2 x (3x + - 17) = x + (3x - 17 ) + 20 — False
x = 40 — True
Brinley and Seth exercised for a combined 95 minutes —-True
Mackenzie exercised for 26 minutes. — False
ax - c = b solve for x
Answer:x= b/a+c/a
Step-by-step explanation:
fractions equivalent to 14/32
Answer:
7/16, 21/48, 28/64
Step-by-step explanation:
Hope this helps
Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
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PLEASE HELP!!!!!!!!!!!!!