Answer:
you can use a venn diagram
Linda is playing a game. On each turn that she takes, she can earn 2 points or 3 points. She has taken 16 turns and has earned a total of 34 points. On how many turns has Linda earned 2 points?
Answer:
Linda earned 2 points on 14 turns.
Step-by-step explanation:
Given that Linda has played 16 turns and has obtained 34 points, taking into account that in each turn she can obtain 2 or 3 points, to determine the number of turns in which she obtained 2 points, the following table must be performed:
-If in 16 turns she obtained 2 points, the total points will be 32
-If in 15 turns she obtained 2 points and in 1 turn she obtained 3 points, the total points will be 33
-If in 14 turns she obtained 2 points and in 2 turns she obtained 3 points, the total of points will be 34
Therefore, Linda scored 2 points in 14 of the 16 turns played.
1. Is Event 1 and Event 2 Mutually Exclusive of each other? Event 1: Pre- Schooler is a girl Event 2: Pre- Schooler prefers the color blue to the color pink Select one: a. No, A girl pre-schooler can prefer the color blue to the color pink. b. Yes, The gender of pre-schooler has no affect on color preference c. Yes, Girls prefer the color pink to the color blue 2. 70 preschoolers were asked whether they preferred blue or pink. 35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color. Assuming one of the pre-schoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
The probability of choosing a preschooler who is a girl and prefers the color blue is 0.3 or 30%.
The total number of preschoolers who were asked about their color preference is 70. Out of these, 35 girls chose pink, 15 girls chose blue, 5 boys chose pink, and 15 boys chose blue.
To find the probability of choosing a girl who prefers blue, we need to use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Here, the favorable outcome is choosing a girl who prefers blue. We can see that 15 girls chose blue as their preferred color. Out of these, we need to choose a girl, so the total number of favorable outcomes is 15.
The total number of outcomes is the total number of preschoolers, which is 70. Out of these, the number of girls is 35+15=50. Therefore, the total number of outcomes where a girl can be chosen is 50.
Putting these values in the formula, we get:
Probability = 15/50 = 0.3
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Complete Question;
70 preschoolers were asked whether they preferred blue or pink.
35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color.
Assuming one of the preschoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
13) Timmy went to the shooting range and went through 225 rounds. He put 100 rounds within 4 inches
of the bullseye and 43 rounds in the bullseye. What is his accuracy with in 4 inches and what is his
accuracy within the bullseye?
Answer
25/1 and 43/125
Step-by-step explanation:
the mean of the set of data 9,5,9,5,5,13,m and n is 8.
a) calculate the value of m+n
b) hence, Find the mode of the set of data if
(i) m = n
(ii) m ≠ n
Answer:
To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
Step-by-step explanation:
hehehe i hope its correct
Answer:
a) 9+9=18
b) 9
Step-by-step explanation:
What is the solution to 4|x - 6 ≤ 16?
Ox≤2 or x ≥ 10
02≤x≤ 10
0-10≤x≤2
Ox≤-10 or x ≥ 2
A1 kg object is located at a distance of 6.4 x10^6 m from the center of a larger object whose mass is 6.0 x 10^24 kg. Find the gravitational attraction between them. *
O 11 N
O 8 N
9.8 N
O 6.8 N
Answer:its 11n
Step-by-step explanation:
Simple divide all
The gravitational attraction between the two objects as described is; 9.77N
The force of gravitational attraction according to Newton's law of gravitation can be expressed mathematically as;
F = G m1m2/r²where F = force of attractionG = gravitational constant = 6.67 × 10-¹¹ m3 kg-¹ s-²m1 and m2 = mass of the objects respectivelyr = their distance apart.F = (6.67 × 10-¹¹ × 1 × 6.0 x 10²⁴)/(6.4 x 10⁶)²
F = 9.77 N
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6
3. Javon, Sam, and Antoine are baking cookies. Javon
has 1/2 cup of flour, Sam has 14 cups of flour, and
Antoine has 1 cups of flour. How many cups of
flour do they have altogether?
Answer:
15.5 or 15 and a half cups of flour
Step-by-step explanation:
1/2 = 0.5
14 + 0.5 + 1 = 15.5
Answer: 3 5/12
or
2 17/12
Step-by-step explanation:
hope this helped!!
In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls in the class.
Answer:
BOYS = 30.
GIRLS = 12.
Step-by-step explanation:
Boys: B
Girls: G
B = (2/5)G
B + G = 42.
(2/5)G + G = 42
2G + 5G = 210
7G = 210
G = 210/7
G = 30.
B = (2/5)G
B = (2/5)(30)
B = 60/5
B = 12.
Answer:
\(\Huge \boxed{\bold{\text{12 Boys}}}\)
\(\Huge \boxed{\bold{\text{30 Girls}}}\)
Step-by-step explanation:
Let the number of girls be \(g\) and the number of boys be \(b\).
According to the problem: \(b = \frac{2}{5} \times g\)
We also know that the total number of students is 42, so \(b + g = 42\).
Now, we have two equations with two variables:
\(b = \frac{2}{5} \times g\) \(b + g = 42\)We can solve these equations to find the values of \(b\) and \(g\).
Step 1: Solve for \(\bold{b}\) in terms of \(\bold{g}\)
From the first equation, we have\(b = \frac{2}{5} \times g\)
Step 2: Substitute the expression for \(\bold{b}\) into the second equation
Replace \(b\) in the second equation with the expression we found in step 1.
\(\frac{2}{5} \times g + g = 42\)
Step 3: Solve for \(\bold{g}\)
Now, we have an equation with only one variable, \(g\):
\(\frac{2}{5} \times g + g = 42\)
To solve for \(g\), first find a common denominator for the fractions:
\(\frac{2}{5} \times g + \frac{5}{5} \times g = 42\)
Combine the fractions:
\(\frac{7}{5} \times g = 42\)
Now, multiply both sides of the equation by \(\frac{5}{7}\) to isolate \(g\):
\(g = 42 \times \frac{5}{7}\)\(g = 30\)Step 4: Find the value of \(\bold{b}\)
Now that we have the value of \(g\), we can find the value of \(b\) using the first equation:
\(b = \frac{2}{5} \times g\)\(b = \frac{2}{5} \times 30\)\(b = 12\)So, there are 12 boys and 30 girls in the class.
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Find the standard form of the equation of the hyperbola with the given characteristics.
Vertices:
(3, −4), (3, −8);
passes through the point
(7, −12)
The standard form of the equation of the hyperbola is
[(y + 6)²/4] - [(x - 3)²/16] = 1.08
We have,
To find the standard form of the equation of a hyperbola, we need to know the locations of the vertices and the foci.
In this case, we are given the coordinates of the vertices, but we need to find the foci. However, we are also given that the hyperbola passes through the point (7, −12), which will allow us to find the foci.
First, let's find the center of the hyperbola.
Since the vertices have the same x-coordinate of 3, the center must be the point (3, −6), which is the midpoint of the two vertices.
Next, we can find the distance between the center and one of the vertices. Using the distance formula, we get:
d = √[(3 - 3)² + (-8 - (-6))²] = 2
Since the vertices are vertically aligned, we know that the distance from the center to each vertex is the same.
Therefore, the distance from the center to each vertex is also 2.
We can now use the Pythagorean theorem to find the distance from the center to each focus, which we will call c.
We know that c² = a² + b², where a is half the distance between the vertices (in this case, a = 2), and b is half the distance between the foci.
We want to solve for b.
Since the hyperbola passes through the point (7, −12), we know that the distance from this point to each focus is constant and equal to the distance from this point to the center of the hyperbola.
Using the distance formula, we can set up the following equation:
√[(7 - 3)² + (-12 - (-6))²] = sqrt[(7 - 3)^²+ (-12 - (-8))²] + b
Simplifying this equation, we get:
2 √(37) = 2 √(20) + b
b = √(37) - √(20)
Now that we have the values of a and b, we can write the standard form of the equation of the hyperbola:
[(y + 6)²/4] - [(x - 3)²/16] = 1 + [(√(37) - √(20))²/16]
Simplifying, we get:
[(y + 6)²/4] - [(x - 3)²/16] = 1.08
Therefore,
The standard form of the equation of the hyperbola is
[(y + 6)²/4] - [(x - 3)²/16] = 1.08
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Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.
Answer:
Area of each triangular base
= (1/2)(6)(8) = 24 cm^2
Area of bottom rectangular base
= 8(20) = 160 cm^2
Area of back rectangular base
= 6(20) = 120 cm^2
Area of sloped rectangular base
= 10(20) = 200 cm^2
Total surface area
= 2(24) + 160 + 120 + 200 = 528 cm^2
The area of each face of the triangular prism and the total surface area will be; 528 cm²
The area of each triangular face ;
A = 1/2bh
The triangular faces have a base of b=8 cm and a height of h=6 cm thus area is ...
A = 1/2(8 cm)(6 cm) = 24 cm²
Since Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest.
the area is given...
A = LW
Bottom face:
A = (20 cm)(8 cm) = 160 cm²
Back face:
A = (20 cm)(6 cm) = 120 cm²
Sloped face:
A = (20 cm)(10 cm) = 200 cm²
Now we have total area is the sum of the areas of all of the faces and bases. There are two triangular bases,
(2×24 + 160 +120 +200) cm² = 528 cm²
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Given right triangle TUV shown below with TU = 18.5 and ∠T = 68 degrees, which of the following is closest to the length of segment TV?
Answer:
49.39 units.
Step-by-step explanation:
In Right Triangle TUV, \(\angle U\) is a right triangle.
TU = 18.5
∠T = 68 degrees
\(\cos \theta =\dfrac{Adjacent}{Hypotenuse} \\$Using the trigonometric formula above:\\\cos T =\dfrac{TU}{TV}\\\\\cos 68^\circ =\dfrac{18.5}{TV}\\\\$Cross multiply\\TV*\cos 68^\circ=18.5\\\\TV=\dfrac{18.5}{\cos 68^\circ}\\\\TV=49.39$ units\)
The length of segment TV is 49.39 units.
Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.
The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.
(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.
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What is the standard form for 10 to the power of -9
Answer:
is there any whole number or decimal
Jose's family is renting a car for their family vacation. The car rental agency rents cars for $64 plus an additional charge of $0.20 per mile. The equation below represents the total cost of renting the car where x represents the number of miles driven.
No matter how many miles are travelled, only the standard rental fee of equation $64 is paid. The total cost of the rental is determined by multiplying the miles driven by the additional $0.20 per mile price.
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
The following equation is used to calculate the overall cost of renting a car:
C(x) = 0.20x + 64
where x is the amount of miles driven and C(x) is the rental car's total cost.
No matter how many miles are travelled, only the standard rental fee of $64 is paid. The total cost of the rental is determined by multiplying the miles driven by the additional $0.20 per mile price.
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Help me With this please.
m∠NOP = 90° is the value of angle .
What does a math angle mean?
An angle is made up of two rays (half-lines) that have a shared termination. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.
A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. The Latin word "angulus," which meaning "corner," is the source of the English term "angle". The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.
m∠NOP = 90° is the value of angle .
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What is 240.50 x 19.54? Give your answer to 2 significant figures
Answer:
look at the digit after the first non-zero digit if rounding to two significant figures. draw a vertical line after the place value digit that is required. if it's 5 or more, increase the previous digit by one. if it's 4 or less, keep the previous digit the same.
The second significant figure of a number is the digit after the first significant figure. This is true even if the digit is zero. Hence the second significant figure of 20,499 is 0, as is the second significant figure of 0.0020499.
Answer:
Answer = 4,699.37
Step-by-step explanation:
240.5 * 19.54 = 4699.37
the answer is in two decimal places
Please answer and explain both in laymens terms
After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.
In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.
Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:
1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
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Find the area of the triangle.
Answer:
20 m²
Step-by-step explanation:
Formula (Area of triangle):
\(\text{A (Triangle)} = \dfrac{1}{2} \times \text{Base} \times \text{Height}\)
From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.
\(\implies \text{A (Triangle)} = \dfrac{1}{2} \times (7 + 3) \times (4)\)
Simplify the right-hand-side as needed to evaluate the area.
\(\implies \text{A (Triangle)} = \dfrac{1}{2} \times (10) \times (4)\)
\(\implies \text{A (Triangle)} = \dfrac{40}{2} = 20 \ \text{m}^{2}\)
Therefore, the area of the provided triangle is 20 m².
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The solution set of Vx - 2 = -2 is:
B. (-6)
C. 1-2)
none of these
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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Expand 5(x + 6)
Anyone know the answer?
Answer:
5x+30
Step-by-step explanation:
we just open the bracket and multiply
Admission to a museum is $7.10 per
adult and $4.80 per child. The expression
7.1a 1 4.8c represents the total cost in
dollars for admission for a adults and
c children.
If 6 adults and 6 children attend the
museum, what is the total cost?
The total cost of admission for 6 adults and 6 children to the museum is $71.4.
What is the total cost?Total cost refers to the sum of all costs incurred in producing a product, delivering a service, or achieving a particular outcome. It encompasses all the expenses, both direct and indirect, that are associated with a specific activity, project, or process.
According to the given information:
To calculate the total cost of admission for 6 adults and 6 children to the museum, we can substitute the values of "a" and "c" into the given expression "7.1a + 4.8c" and perform the calculations.
Given:
Number of adults (a) = 6
Number of children (c) = 6
Admission cost per adult = $7.10
Admission cost per child = $4.80
Substituting the values into the expression:
7.1a + 4.8c = 7.1 * 6 + 4.8 * 6
Now, we can perform the calculations:
7.1 * 6 = 42.6
4.8 * 6 = 28.8
Adding the results together:
42.6 + 28.8 = 71.4
So, the total cost of admission for 6 adults and 6 children to the museum is $71.4.
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I hate my school for giving me all of this in one day <3
Answer:
A.
Step-by-step explanation:
\(0.75 > 7/12(0.58)\)
Answer:
A
Step-by-step explanation:
0.58= 7/12 so 0.75 is more then -.8 so that is true.
Factor.
q^2 + 4g + 3
Step-by-step explanation:
q²+4q+3
q²+3q+q+3
q(q+3)+1(q+3)
(q+1)(q+3)
the function f(x)=-x^2-x+15 is shown on the graph. what are donain and range of the function? t
Answer:
Domain: All real numbersRange: \(y \leq 61/4\)Step-by-step explanation:
The domain is the set of x values.
The range is the set of y values.
Which relation describes the graph?
The relation that describes the graph {(-1, 3), (-2, 1), (-3, -3), (-4, -5)}
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The coordinates of given graph:
(-1, 3)(-2, 1)(-3, -3)(-4, 5)Hence, the relation is {(-1, 3), (-2, 1), (-3, -3), (-4, 5)}.
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-3b+7=13 solve for b
Answer:
b =-2
Step-by-step explanation:
-3b+7=13
Subtract 7 from each side
-3b+7-7=13-7
-3b = 6
Divide each side by -3
-3b/-3 = 6/-3
b = -2
Answer:
b=-2
Step-by-step explanation:
-3b+7=13
-7 -7
-3b=6
/-3 /-3
b=-2
please help!! What is the equation of the line that passes through (0, 3) and (7, 0)?
Answer: y= -3/7x + 3
Step-by-step explanation:
I used some graph paper for this, mark the two points and use a ruler to connect the lines. y=-3/7x is slope, and 3 is the y intercept.
Answer:
3x + 7y -2=0
Step-by-step explanation:
Two points are given to us and we need to find the Equation of the line passing through the two points . The points are (0,3) and (7,0) . We can use here two point form of the line as ,
\(\implies y-y_1 = \dfrac{y_2-y_1 }{x_2-x_1} ( x - x_1) \\\\\implies y - 3 =\dfrac{3-0}{0-7}(x - 0 ) \\\\\implies y - 3 =\dfrac{-3}{7}x \\\\\implies 7y - 2 = -3x \\\\\implies \underline{\underline{3x + 7y -2 = 0 }}\)
The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.
What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?
The rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted would be = 7ft/year. That is option C.
How to calculate the rate of change of average height?To calculate the rate of change of the average height of the trees in the farm the following is carried out.
The total heights of the tress that was recorded;
= 10+24+45+80+108
= 267 ft
The total number of years that was recorded;
= 1+3+6+12+15
= 37 years
Therefore the rate of change of the average height of the tress would be = 267/37 = 7 ft/yr.
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Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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