Answer:
The probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is [tex]\dfrac{4}{7}[/tex] .
Step-by-step explanation:
We are given that in a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3.
The roll numbers of students begin with boys and end with girls.
Firstly, we will calculate the number of boys and girls in the class.
Number of boys in the class = [tex]\frac{4}{7}\times 35[/tex]
= [tex]4 \times 5[/tex] = 20
Number of girls in the class = [tex]\frac{3}{7}\times 35[/tex]
= [tex]3 \times 5[/tex] = 15
So, the roll numbers of boys are numbered as = {1, 2, 3,..........., 19, 20}
and the roll numbers of girls are numbered as = {21, 22, 23,..........., 34, 35}
Prime numbers are those numbers that come in their own tables and 1.
The roll number of boys having prime numbers are = {2, 3, 5, 7, 11, 13, 17, and 19}
There are total of 8 boys.
Composite numbers are those numbers that come in the tables of other numbers also.
The number of girls with composite roll number or an even roll number = {21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, and 35}
There are a total of 12 girls.
So, the total number of favorable boys and girls = 8 + 12 = 20
Total number of students in class = 35
So, the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number is given by = [tex]\frac{20}{35}[/tex] = [tex]\frac{4}{7}[/tex] .
The ratio of men to women working for a company is 3 to 4. If there are 112 employees total, how many work for the company
Answer:
112
Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly
112.
Answer:112
Step-by-step explanation:
I ain’t making no explanation I’m just giving answers
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
PLEASE HELP 20 points!!! Which of these is a ratio table? A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Answer:
b
Step-by-step explanation:
Answer:
isnt it D?
Step-by-step explanation:
the two numbers are constantly the same ratio so its that right?
Which input value produces the same output value for
the two functions on the graph?
O x= -1
O x=0
O x= 1
O x=2
Answer:
x=1
Step-by-step explanation:
it is the point of intersection of both lines which (1,1)
for x=1 both produce same value i.e.,1
Anna enjoys dinner at a restaurant in Washington D.C, where the sales tax on meals is 10%. She leaves a 15% tip on the price of her meal before the sales tax is added, and the tax calculated is on the pre-tip. She spends a total $27.50 for dinner. What is the cost of her dinner without tax or tip?
Answer: $20.62
Step-by-step explanation:
Ok so she spent 27.50 and the tax was 10% and the tip was 15%
10% of 27.50=0.1*27.50=2.75
15% of 27.50=0.15*27.50=4.125=4.13 (rounded to the nearest cent)
So the question is asking about without the tax (2.75) or the tip (4.13) so you have to subtract the tax and tip from the total cost (27.50)
27.50-2.75-4.13=20.62
The cost of her dinner without tax or tip is 20.62
Answer:$20.62 would be the price
Step-by-step explanation:
Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram
Answer:
The answer is Parallelogram!
Step-by-step explanation: Unlike a square, a Parrallelogram has 2 same short sides, and 2 long! But a square has all same sides; so, it's not sqaure.
Answer:
square
Step-by-step explanation:
A rectangle is a quadrilateral with 4 right angles.
A square is a quadrilateral with 4 right angles and 4 congruent sides, so s square is a rectangle.
use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it
What is the additive inverse of the polynomial? -7y2+x2y+-3xy-7x2
Answer:
The addidtive inverse is 7y²- x²y - 3xy + 7x²
( here we need to change the sign of each of the term )
Answer:
7y2-x2y+3xy+7xy
Step-by-step explanation:
I got it right
Find the volume of a pyramid with a square base, where the side length of the base is
11.1 m and the height of the pyramid is 8.2 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
Help ???
The table and scatter plot shows the time spent studying...
Answer:
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
Step-by-step explanation:
Given, The equation of the line of best fit: [tex]y=3.8x+14.94[/tex] (which gives the predicted score.)
Time spent in studying of 12 hours i.e. at x=12, observed y= 70
Predicted y = [tex]3.8(12)+14.94=60.5[/tex]
Residual =Observed y - predicted y
= 70-60.5
= 9.5
Time spent in studying of 18 hours i.e. at x=18, observed y= 75
Predicted y = [tex]3.8(18)+14.94=83.34[/tex]
Residual = Observed y - predicted y
= 75-83.34
= -8.34
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
WILL AWARD BRAINLIEST
What is the value of a?
On a piece of paper, graph y < 3/4x + 2. Then determine which answer choiceu
matches the graph you drew.
Answer:
Graph A is the answer
Step-by-step explanation:
Graph A is correct.
We have an inequality -
[tex]y < \frac{3x}{4}+2[/tex]
We have to graph this inequality and select the correct option.
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
We have in our question an inequality as -
[tex]y < \frac{3x}{4}+2[/tex]
Follow the following steps to reach the graph -
STEP 1 ->
Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]
which is same as y = mx + c.
On comparing : m = [tex]\frac{3}{4}[/tex] and c =2.
Therefore, this line intersects the y - axis at the point (0, 2).
STEP 2 ->
Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -
0 < 0 + 2
0 < 2, which is true.
We will shade the area in which (0,0) lies.
STEP 3 ->
Since the inequality is a strict inequality, the line will be a dotted line.
Hence, Graph A is correct.
To solve more questions on plotting the graphs of inequality, visit the link below -
https://brainly.com/question/25851784
#SPJ2
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7). (5 points) 5.5 5 0.5 3
Answer:
0.5
Step-by-step explanation:
To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.
Hey there! :)
Answer:
0.5.
Step-by-step explanation:
Use the midpoint formula to solve for the coordinates:
midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]
Plug in the points for C and D:
[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]
Simplify:
[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.
The x-value of the coordinate is 1/2, or 0.5.
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
Simplify the fraction 35/21 in simplest form
Answer:
5/3
Step-by-step explanation:
35 and 21 could be divided by a factor of 7.
35 ÷ 7 = 5
21 ÷ 7 = 3
So,
35/21 = 5/3
Answer:
5/3
Step-by-step explanation:
35 divided by 7 is 5
21 divided by 7 is 3
Thus 35/21 in simplest form is 5/3
someone please help After putting 5 gallons of gas into your car, the tank was full. If the tank holds 13 gallons, how much gas was in it before you filled it up?
Answer:
8 gallons were in the tank beforehand.
Step-by-step explanation:
Answer:
8 gallons of gas
Step-by-step explanation:
13-5=8
I NEED HELP ASAP What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
Two large numbers of the fibonacci sequence are F(50) = 12,586,269,025 and F(51) = 20,365,011,074. If these two numbers are added together, what number results? A. F(52) B. F (101) C. F(53) D. F(49)
Answer:
B. F(52)
Step-by-step explanation:
In the Fibonacci sequence, each term is found by adding the previous two terms together. This means that f(3) = f(2)+f(1), f(4) = f(3)+f(2), etc.
If we add f(50)+f(51), this would give us f(52).
Answer:
B
Step-by-step explanation:
B is the answer
what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
stay at home stay safe
bye bye
pls mark me as BRAINLIEST
Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
In the spinner below, what is true about the probability of landing on 1 and the probability of landing on 6?
Answer:
1/6 for 1 and 1/6 for 6
Step-by-step explanation:
Answer: the possibility are equal
Step-by-step explanation:
A p e x
Solve the following equation (for x) using inverse operations:
-4x + 6 = 2x + 36
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
[tex]-4x + 6 = 2x + 36[/tex]
Add -2x and -6 on both sides.
[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]
[tex]-4x-2x=36-6[/tex]
Combine like terms.
[tex]-6x=30[/tex]
Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]
[tex]x=-5[/tex]
Answer:
x = -5
Step-by-step explanation:
Group like terms together: On the right side we get 2x + 4x = 6x. On the left side we get 6 - 36 = - 30.
Then 6x = -30, and x = -5.
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
help me 24 - 42 ÷ 8 • 2 + 4
Step-by-step explanation:
bodmas :3
1. 42 ÷ 8 x 2 = 5.25 x 2
= 10.5
2. 24 - 10.5 + 4 = 17.5
Answer:
17.5
Step-by-step explanation:
24-(42/8)×2+4
=24-(5.25×2)+4
=24-10.5+4
=13.5+4
=17.5
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x
Answer:
x+y:
16<x+y<19
y-x:
3<y-x<6
xy:
60<xy<84
y/x:
10/7<y/x<2
Step-by-step explanation:
For x+y, it'll be
6<x<7
+
10<y<12
=16<x+y<19
____
y-x:
10<y<12
--
6<x<7
because of the negative sign the x inequality is reversed so it is -7<x<-6
and then you do the math and get 3<y-x<5
________
xy:
10<y<12
x
6<x<7
you multiply and get 60<xy<84
________
y/x:
10<y<12
divided by
6<x<7
now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6
Please give me a brainliest award. This took so long. I hope this helped.
Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].
The solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, ...,4.9\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Given that:
[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]
To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.
[tex](6 < x < 7) + (10 < y < 12)[/tex]
This gives:
[tex]6 + 10 < x + y < 7 + 12[/tex]
[tex]16 < x + y < 19[/tex]
This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:
[tex]x + y= \{17,18\}[/tex]
To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.
[tex](10 < y < 12) - (6 < x < 7)[/tex]
This gives:
[tex]10 - 6 < y - x < 12 - 7[/tex]
[tex]4 < y - x < 5[/tex]
This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:
[tex]y - x = \{4.5, ...,4.9\}[/tex]
To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.
[tex](6 < x < 7) \times (10 < y < 12)[/tex]
This gives:
[tex]6 \times 10 < x \times y < 7 \times 12[/tex]
[tex]60 < x \times y < 84[/tex]
[tex]60 < xy < 84[/tex]
This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:
[tex]xy = \{61,62,...83\}[/tex]
To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.
[tex](10 < y < 12) \div (6 < x < 7)[/tex]
This gives:
[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex]
This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:
[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Hence, the solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, 4.9...\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Read more about inequalities:
https://brainly.com/question/20383699