the table below:
Grade In favor Opposed Undecided Total
Grade 9 6 4 8 18
Grade 10 10 11 9 30
Grade 11 12 15 11 38
Grade 12 15 6 14 35
If the principal randomly selects a student in grade 10 from this survey,
the probability that the student is opposed to extending the school day
P ( student in grade 10 is opposed)= Number of student in opposed(grade10) / total number of students in grade 10
Number of student opposed who is in grade10 = 11
total number of students in grade 10 = 30
P( student in grade 10 is opposed)= [tex]\frac{11}{30}[/tex]
= 0.37
the probability that the student is opposed to extending the school day= 0.37
Final answer:
The probability that a randomly selected grade 10 student from the survey is opposed to extending the school day is 11/30, or approximately 36.67%.
Explanation:
The student's question pertains to the probability of selecting a grade 10 student who is opposed to extending the school day based on the survey results provided.
To calculate this probability, we consider only the grade 10 students. According to the table, there are 10 students in favor, 11 opposed, and 9 undecided within grade 10, making a total of 10 + 11 + 9 = 30 students surveyed in the tenth grade.
The probability that a randomly selected grade 10 student is opposed to an extended school day is the number of grade 10 students opposed divided by the total number of grade 10 students surveyed.
Mathematically, it can be represented as P(Opposed) = Number of opposed students in Grade 10 / Total number of students in Grade 10 surveyed. By plugging in the numbers:
P(Opposed) = 11 / 30
Therefore, the probability is 11/30 or approximately 0.3667, which can be expressed as a percentage by multiplying by 100, yielding about 36.67%.
What is 20x30 i need the answer nowwwwwwwwwwwwww
Answer: 600
Step-by-step explanation:
20 x 30
= 2 x 10 x 3 x 10
= 2 x 3 x 10 x 10
= 6 x 100
= 600
The following number belongs to which set of numbers 1.6 (the is a repeating decimal by the way)
A.Irrational number
B.Rational number, integers, and whole numbers
C. Rational numbers, and integers, but not whole numbers
D. Rational numbers, but not integers or whole numbers.
The repeating decimal 1.6 falls under the categorization of Rational numbers. It can be expressed as a fraction, specifically 5/3, but it does not qualify as an integer or a whole number as those contain no fractions or decimals.
Explanation:The number 1.6 (1.666...) is a repeating decimal and belongs to the set of numbers known as Rational numbers, but not integers or whole numbers.
By definition, Rational numbers are any numbers that can be expressed as the fraction of two integers. In other words, a number is rational if it can be written in the form a/b where a and b are integers and b is not zero. Here, 1.6 repeating can be written as 5/3 (a/b form), indicating it's a rational number.
Integers and Whole numbers are always without fractions or decimals. Hence, the number doesn't fall in these categories.
Therefore, the correct answer is D: 1.6 (1.666...) is a rational number, but it is not an integer or a whole number.
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If Damian needs to borrow money to pay for something, he needs to request which of the following?
which of the following???
Answer:
B. A loan
Step-by-step explanation:
hope this helps
Is this answer right
Everything looks good until the final step. The answer is not c = 26. It should be more like c = 25.495 which is approximate. You would use your calculator to find this value. If you round to the nearest whole number, then c = 25; however, this is a bad idea because it implies that the hypotenuse is the same length as the longer leg, which is not the case here. Recall that the hypotenuse is always the longest side.
The final answer is 25.49 or 25.5
A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation that models the diver's position with respect to time.
x^2 -12x +11
We have the x intercepts so we can create the equation (x-1)(x-11). Multiply it and you get your answer
Answer:
f(t)=t²-12t+11
Step-by-step explanation:
1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).
These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.
2) Plugging it in and writing it as groups:
f(t) = returns in feet
t= for time
f(t) =(t-1)(t-11)
Distributing the factors multiplying (t-1) times (t-11), goes:
f(t) =t²-12t+11
Sharon's been $3.45 armor on sunflower seeds the price of sunflower seeds is $0.89 per pound how many pounds of sunflower seeds does sharon buy
3 pounds of sunflower seeds.
solve for x:
22x+11=4x-7
22x + 11 = 4x - 7
-4x -11 -4x -11
18x = -18
X=-1
Hello there!
Solve for x.
[tex]22x+11=4x-7[/tex]
Explanation
↓↓↓↓↓↓↓↓↓↓
First you had to subtract by 11 from both sides of the equations.
[tex]22x+11-11=4x-7-11[/tex]
Simplify
[tex]22x=4x-18[/tex]
Then you subtract by 4x from both sides of the equations.
[tex]22x-4x=4x-18-4x[/tex]
Simplify
[tex]18x=-18[/tex]
Divide by 18 from both sides of the equations.
[tex]\frac{18x}{18}=\frac{-18}{18}[/tex]
Simplify it should be the correct answer.
[tex]x=-1[/tex]
Answer⇒⇒⇒⇒⇒⇒x=-1
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
There are twenty-four calories in a candy bar. Sally ate eight candy bars. How many calories are there in thirty -nine candy bars?
Answer:you dont even know how to write the sentence right so fail
Step-by-step explanation:
A rectangle has a height to width ratio of 3:4.5. Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.
We have been given that a rectangle has a height to width ratio of 3:4.5.
Let h be height and w be width of rectangle.
We can set our given information in an equation as:
[tex]\frac{h}{w} =\frac{3}{4.5}[/tex]
[tex]h=\frac{3}{4.5} *w[/tex]
Now we will substitute h=1 in this equation.
[tex]1=\frac{3}{4.5} *w[/tex]
[tex]3w=4.5[/tex]
[tex]w=\frac{4.5}{3} =1.5[/tex]
We can see that width of rectangle is 1.5 times height of rectangle.
Our one set of dimensions of rectangle will be: height=1 and width=1.5.
We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.
Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.
Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.
Two examples of dimesions for rectangles that could be scaled versions of this rectangle are (2,3) and (4,6).
Rectangle has a height and width.
[tex]\dfrac{height}{width}=\dfrac{3}{4.5}\\\\\dfrac{height}{width}=\dfrac{30}{45}\\\\\dfrac{height}{width}=\dfrac{2}{3}[/tex]
[tex]height = 2x\\width=3x[/tex]
Now let [tex]x=1[/tex]
So dimensions of height and width is [tex]2\times1 \; and\; 3\times1[/tex]
So it is [tex](2,3)[/tex]
Now let [tex]x=2[/tex]
So dimensions of height and width is [tex]2\times2 \; and\; 3\times2[/tex]
So it is [tex](4,6)[/tex]
Hence many dimesions of rectangles are possible.
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Select the multiplication sentence that applies the associative property of multiplication to the example. Example: (3 × 2) × 6 = 36 A. 3 × (2 × 6) = 36 B. (3 + 2) × 6 = 30 C. 6 + (5 × 6) = 36 D. 3 × (2 + 6) = 24
Answer : A
A. 3 × (2 × 6) = 36
we have 3 times 2 times 6. All the numbers have multiplication in between . so it comes under Associative property of multiplication.
B. (3 + 2) × 6 = 30
we have 3+2 . there is a + sign in between. so it does not comes under Associative property of multiplication
C. 6 + (5 × 6) = 36
we have 6 + . there is a + sign in between. so it does not comes under Associative property of multiplication
D. 3 × (2 + 6) = 24
we have 2 + 6 . there is a + sign in between. so it does not comes under Associative property of multiplication
Linda makes $96 per work day. How much dose she make in 3/8 of a d
[tex]\frac{96 (dollars)}{1 (day)} * \frac{3}{8} day = \frac{96(3)}{8} dollars[/tex] = 12(3) dollars
= $36
Merlyn’s weight went down from 125 pounds to 110 pounds after dieting. What was her percent weight loss? a. 10% b. 12% c. 15% d. 18%
[tex]\frac{(new) - (original)}{original} = \frac{110 - 125}{125} = \frac{-15}{125} = -0.12[/tex] The negative means it is a decrease.
0.12 x 100 = 12%
Her weight decreased 12%
Answer: B
How do you do this!?!
11x + y = 4, x + y = -2, x - 2y = 18
How can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values?
Which method works best for you personally? When does it not work as well?
11x + y = 4
x | y
0 | 4
[tex]\frac{4}{11}[/tex] | 0
plot the y-intercept (0, 4) and the x-intercept ([tex]\frac{4}{11}[/tex], 0)
or
11x + y = 4
-11x -11x
y = -11x + 4 ⇒ m = [tex]\frac{-11}{1}[/tex], b = 4
plot at point the y-intercept "b = 4" (0,4). plot the next point using the slope "m = [tex]\frac{-11}{1}[/tex]" from point (0,4), count down 11 and to the right 1 (1,-7).
Using intercepts would not provide an accurate graph because you have to estimte where ([tex]\frac{4}{11}[/tex], 0) is, so it is best to use slope-intercept form.
***********************************************************************************************************
x + y = -2
x | y
0 | -2
-2 | 0
plot the y-intercept (0, -2) and the x-intercept (-2, 0)
or
x + y = -2
-x -x
y = -x - 2 ⇒ m = [tex]\frac{-1}{1}[/tex], b = -2
plot at point the y-intercept "b = -2" (0,-2). plot the next point using the slope "m = [tex]\frac{-1}{1}[/tex]" from point (0,-2), count down 1 and to the right 1 (1,-3).
Both methods are easy to use so either can be used.
**********************************************************************************************************
x - 2y = 18
x | y
0 | -9
18 | 0
plot the y-intercept (0, -9) and the x-intercept (18, 0)
or
x - 2y = 18
-x -x
-2y = -x + 18
[tex]\frac{-2y}{-2} = \frac{-1}{-2}x + \frac{18}{-9}[/tex]
y = [tex]\frac{1}{2}x[/tex] - 9
plot at point the y-intercept "b = -9" (0,-9). plot the next point using the slope "m = [tex]\frac{1}{2}[/tex]" from point (0,-9), count up 1 and to the right 2 (2,-8).
Using intercepts will make a large graph since you have to plot (18,0) so it is best to use the slope-intercept form.
17/21- (3/7 + 2/7) please answer quick
Answer:
2/21
Step-by-step explanation:
17/21 -(3/7 + 2/7)
First you add
=17/21 - (5/7)
Then you want to subtract
=2/21
Answer:
The answer is 2/21
Step-by-step explanation:
Step 1: simplify 2/7
Step 2: simplify 3/7
Step 3: Adding fractions which have a common denominator
So it would be - 3+2/7 = 5/7
So the new equation would be 17/21 - 5/7
Step 4: simplify 17/21
Step 5: Calculating the LCM (Least Common Multiple)
The LCM is 21
17-(5 × 3)/21 = 2/21
need help with these 3 math questions on functions please.
Q4.
[tex]f(x)=\sqrt{x}+4\\\\D:\ x\geq0[/tex]
Answer: all real numbers greater than or equal to 0.
Q.
The range is read from the y axis. Therefore the range = (-∞ , 1]
Answer: {y | y ≤ 0}
Q.
The first part of the graph has a slope = 2, therefore it's y = 2x.
The second part of the graph is horizontal line y= 4.
Therefore your answer is:
[tex]f(x)=\left\{\begin{array}{ccc}2x&if&x < 0\\4&if&x\geq0\end{array}\right[/tex]
A recipe for cookies requires 2/3 cup of butter. Rama wants t make 3/4 of the recipe. How many cups of butter should rama use to make cookies?
answer is equal to 2X3/3X4 which is equal to1/2
[tex]\frac{3}{4}[/tex] of [tex]\frac{2}{3}[/tex]
[tex]\frac{3}{4} * \frac{2}{3} = \frac{3(2)}{4(3)} = \frac{1}{2}[/tex]
Answer: [tex]\frac{1}{2}[/tex] cup of butter
helpppppppppppppppppppp
Bank Card is charging 1.7% monthly interest
You were charged $175 and want to find the interest you owe
1.) Convert 1.7% to a decimal, which is 0.017
2.) Multiply $175 (price of the charge) with 0.017 (percentage in decimal form) to find out how much you owe
$175 x 0.017 = $2.975
Round that up to $2.98
90% of doctors interviewed chose Brady's
30 doctors were interviewed
1.) Convert 90% to a decimal, which is 0.90
2.) Multiply 30 (doctors) with 0.90 (percentage in decimal form) to find out how many doctors preferred Brady's brand
30 x 0.90 = 27 doctors
27 doctors preferred Brady's Aspirin brand
question in the attached below. @grujan50
The first answer is ''Linear pair postulate''
The second answer is ''Definition of suplementary''
The third answer is ''m∡ACB+45=180''
The fourth answer is ''Subtraction Property of Equality''
The fifth answer is ''∡ACB is obtuse''
The sixth answer is ''Definition of obtuse triangle''
Good luck!!!
Tom always keeps his 4 gardens clean.He takes 20 minutes to clean a single garden.How much time will it take to clean all four gardens.
It will take Tom 80 minutes to clean all 4 gardens. Or, 1 hour and 20 minutes.
Hellllllllllllllllllp !
Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters
The data set shows the number of practice passes a quarterback successfully completed preparing for a competition and the number of passes the quarter throw during a timed competition. (photo 1)
Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice passes for the input variable and the number of competition passes for the output variable. (photo 2)
Which model best fits the data set?
Answer:
The model that best fits the data is the one with the highest value of [tex]R ^ 2[/tex]. In this case it is the quadratic, with a coefficient of determination [tex]R ^ 2 = 0.9675[/tex].
Step-by-step explanation:
To find the different regression models, the Excel software was used.
For the linear regression model, the following equation was obtained:
[tex]y = 2.0809x + 1.291 [/tex]
with a coefficient of determination [tex]R ^ 2 = 0.8911 [/tex]
For the quadratic regression model, the following equation was obtained:
[tex]y = 0.1663x ^ 2-0.0498x + 4.8229[/tex]
with a coefficient of determination [tex]R ^ 2 = 0.9675[/tex]
Finally, for the exponential regression model, the following equation was obtained:
[tex]y = 4.4281e ^ {0.1513x}[/tex]
with a coefficient of determination [tex]R ^ 2 = 0.9635 [/tex]
The coefficient of determination [tex]R ^ 2[/tex] measures how well a predictive mathematical model fits reality. The value of [tex]R ^ 2[/tex] is always between 0 and 1. The closer you get to 1, the more accurate is the built model.
Therefore, the model that best fits the data is the one with the highest value of [tex]R ^ 2[/tex]. In this case it is the quadratic, with a coefficient of determination [tex]R ^ 2 = 0.9675[/tex]
The results obtained are summarized in the attached table.
To find the best fitting regression model and coefficient of determination, we conduct a regression analysis using the number of practice passes as the input variable and competition passes as the output. Different models fit the data differently, and by comparing the R2 values, we can determine which model is the best fit. This requires either software or a graphing calculator.
Explanation:The student's question pertains to regression modeling in mathematics, specifically finding the best fit model and coefficient of determination (R2) which quantifies how well the regression model fits the observed data. To determine which model most represents the data between the number of practice passes and competitive passes in question, we must first perform a regression analysis, using the practice passes as the input (x) and the competition passes as output (y).
There are various types of regression models, including linear, exponential, logarithmic, and quadratic, each fitting the data differently. Linear involves a straight line representing the data, while exponential and logarithmic models exhibit curves, and quadratic involves a parabola. Identification of the most suitable model is through comparing R2 values for each model where higher values indicate better fits.
It is important to note that this process generally requires software or a graphing calculator such as Excel, SPSS, R, or a TI calculator. Specific steps may vary depending on the tool used.
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Which expression is a possible leading term for the polynomial function graphed below?
A. -4x^8
B. -4x^5
C. 4x^5
D. 4x^8
Answer: Option A. -4x^8
Step-by-step explanation:
The polynomial function given in the graph has 4 real roots. And because the graph falls to the left and right, it will have even order and negative leading coefficient.
So we have only one option that matches the required conditions, and i.e. option A.
Rewrite the fractions 3/4 and 5/16 as fractions with a least common denominator.
Answer:
12/16 and 5/16
Step-by-step explanation:
To rewrite 3/4 and 5/16 with a least common denominator, factorize the denominators to find the LCD, which is 16. Multiply 3/4 by 4/4 to get 12/16. The fraction 5/16 remains unchanged.
The denominator 4 is 22, and 16 is 24. The LCD is the higher power of 2 present in these denominators, which is 24 or 16. You then find what to multiply each fraction's denominator to get the LCD. In the case of 3/4, multiply numerator and denominator by 4 to get 12/16. There is no need to change 5/16 because it's already expressed with the LCD as denominator.
So, the fractions with the same denominator are:
3/4 becomes 12/16
5/16 remains 5/16
These fractions can now be easily added or subtracted as they have a common denominator.
Multiply the polynomials. Simplify the answer. Show your work.
(5x^2+8x-6)(8x^2+3x+1)
5x^2 + 8x - 6(8x^2 + 3x + 1)
Distributive property.
40x^4 + 15x^3 + 5x^2 + 64x^3 + 24x^2 + 8x - 48x^2 - 18x - 6
Combine like terms.
40x^4 + 79x^3 - 19x^2 - 10x - 6
Use the distributive property and [tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex](5x^2+8x-6)(8x^2+3x+1)\\\\=(5x^2)(8x^2)+(5x^2)(3x)+(5x^2)(1)+(8x)(8x^2)+(8x)(3x)+(8x)(1)+(-6)(8x^2)+(-6)(3x)+(-6)(1)\\\\=40x^4+15x^3+5x^2+64x^3+24x^2+8x-48x^2-18x-6\\\\=40x^4+(15x^3+64x^3)+(5x^2+24x^2-48x^2)+(8x-18x)-6\\\\=40x^4+79x^3-19x^2-10x-6[/tex]
1. what is the mode of the data set?
(13, 19, 13, 19, 14, 15, 18, 11, 19, 14)
A. 8
B. 15.5
C. 19
D. 14.5
2. these data show the number of grams of fat found in 9 different health bars.
12 14 16 16.5 11 18 18 14 20
what is the IQR (interquartile range) for these data?
A. 5
B. 18
C. 16
D. 9
The mode of the first data set is 19, and the IQR of the second data set is 4, but 4 is not a provided option in your question.
Explanation:The mode of a data set is the number that appears most frequently. In the data set you provided: (13, 19, 13, 19, 14, 15, 18, 11, 19, 14), the number 19 appears three times, which is more frequent than any other number. So, the correct answer is C. 19.The IQR (Interquartile Range) of a data set is computed as the difference between the first quartile (Q1) and the third quartile (Q3). For the data on grams of fat in health bars: (12, 14, 16, 16.5, 11, 18, 18, 14, 20), firstly we need to arrange the data in ascending order: 11, 12, 14, 14, 16, 16.5, 18, 18, 20. Then take the middle number of the first half (which is Q1=14) and the middle number of the second half (which is Q3=18). Hence, the IQR = Q3 - Q1 = 18 - 14 = 4. Unfortunately, 4 is not a provided option, so there may be a mistake in your question.Learn more about Statistics here:
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30 pointtttsssssssssssssss
Hey there!
When you multiply two exponents, you "add" the numbers on the exponents.
3+3=6
Therefore, m³·m³=[tex]m^{6}[/tex]
Therefore, your answer is A
I hope this helps! I hope your day is as grand as 10[tex]^{6}[/tex]!
The answer to your question is m^{6} or A
Ron is tiling acountertop.He needs to place 54 square tiles in each rows of 8 to cover the counter.He wants to randomly place 8 groups of 4 blue tiles each and have rest of the tiles be white how many white tiles will ron need?
i think it is because he needs to place 54 tiles and he needs 8 groups of 4 blue tiles therefore he has 32 blue tiles and 54-32= 22
What is the proportion of the value of the missing number on 75/100 equals. ?/400
75 : 100 = x : 400
x = 75 * 400 : 100
x = 300
A buffet offers ranch or caesar dressing.The ratio of ranch dressing used to caesar dressing used 8:3.If the buffet uses 72 cases of ranch dressing,how many cases of caesar do they use?
To find out how many cases of Caesar dressing are used, divide the ranch cases used by the ranch ratio (72/8=9) and then multiply by the Caesar ratio (9*3=27). Therefore, the buffet uses 27 cases of Caesar dressing.
The question involves finding out how many cases of Caesar dressing the buffet uses if they use 72 cases of ranch dressing and the ratio of ranch to Caesar dressing is 8:3.
First, we determine the unitary ratio by dividing the number of ranch cases used by the corresponding ratio number for ranch. In this case, 72 cases divided by 8 gives us 9 cases per unit ratio.
Since the ratio for Caesar dressing is 3, we then multiply the unit ratio by 3 to find the number of Caesar cases used.
72 cases of ranch ÷ 8 (ranch ratio) = 9 cases per unit
9 cases per unit × 3 (Caesar ratio) = 27 cases of Caesar dressing