The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.
The ratio of boy to girl who play kickball at race is 6 to 2
6 boys: 2 girls
Multiply the number of girls by the ratio:
18 girls x (6 boys / 2 girls) = 18 x 3 = 54
Subtract the number of girls from the total to get the number of boys:
54 - 18 = 36
Therefore, there are 12 boys who play kickball at race.
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11. Natalee wanted to write a function which shows a 40% increase in bacteria growth.
There were 100 bacteria to start. She wrote y = 100 (40)* but she felt that she was
wrong because her y-values were extremely high when she graphed it. Identify Natalee's
mistake, and write the actual function for this scenario.
Natalee's mistake is that she has written the function incorrectly. In her function, she has multiplied the starting number of bacteria, 100, by the growth rate, 40%, to get the final number of bacteria. However, this is not correct because a growth rate of 40% means that the number of bacteria increases by 40% of the starting number, not by 40 itself.
To write the correct function, we can use the fact that a growth rate of 40% means that the final number of bacteria is 1.4 times the starting number. Therefore, the correct function for this scenario is y = 1.4 * 100 = <<1.4*100=140>>140. This function shows that the number of bacteria increases to 140 after experiencing a 40% increase in growth.
Answer:
The actual function for this scenario would be:
y = 100 * 1.40
Step-by-step explanation:
Natalee's mistake was that she didn't add 1 to the value of the increase. When you multiply a number by 1 plus the percentage increase, you get the correct result. In this case, the correct function would be:
y = 100 * 1.40
This function will show a 40% increase in the number of bacteria, starting with 100 bacteria. When graphed, the y-values will not be extremely high.
if you have any question let me know!
What is the range of this function?
6802
10
12
OA. (-8, -3, 5, 7}
B. (-3, 7, 8, 12)
C. (-8, -3, 5, 6, 7, 8, 10, 12}
D. (6, 8, 10, 12)
or wo
-7
Answer:
Step-by-step explanation:
it is
at the beginning of a semester an anonymous survey was conducted on students in a statistics class. two of the questions on the survey were about gender and whether or not students have equal, more, or less energy in the afternoon compared to the morning. below are the results. what test should we perform to see if gender and energy level are associated? 1 point z test hypothesis test for a single mean anova chi-square test of independence f test comparing two means chi-square test of goodness of fit comparing two proportions
Chi-square independence test.
What is Chi-square?A test that evaluates how well a model matches real observed data is the chi-square (2) statistic.
A chi-square statistic can only be calculated with data that is random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a sizable enough sample.
The outcomes of a fair coin toss, for instance, satisfy these requirements.
To test hypotheses, chi-square tests are frequently employed.
Given the size of the sample and the number of variables in the relationship, the chi-square statistic examines the size of any discrepancies between the expected results and the actual results.
According to the total number of variables and samples used in the experiment, degrees of freedom are utilized in these tests to assess whether a particular null hypothesis can be rejected. as well.
According to our question-
The independence of two variables, each of which is categorized into a variety of categories or attributes, is also tested using the chi square statistic.
When the cell probabilities rely on the unknown parameters, the goodness of fit test is relevant as long as the unknown parameters are substituted by their estimates and as long as one degree of freedom is subtracted for each estimated parameter.
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b(t)=1000 times e^.03t how long to reach $1500
Answer:
Below
Step-by-step explanation:
1500 = 1000 e^.03t
1.5 = e^.03t
take LN of both sides
.405465 = .03 t t =13.5 yrs
a goat rancher has 25% of her cows aborting and many of the cows have arthrogryposis? what other lesion are you likely to see when you dissect the fetus that would lead to the limb deformities such as these
Arthrogryposis, also called arthrogryposis multiplex congenita (AMC), is a term used to describe a variety of conditions involving multiple joint contractures (or stiffness).
Arthrogryposis is a general or descriptive term for the development of non progressive contractures affecting one or more areas of the body prior to birth (congenitally). A contracture is a condition in which the joint becomes permanently fixed in a bent (flexed) or straightened (extended) position, completely or partially restricting the movement of the affected joint. When congenital contractures occur only in one body area which means it is not referred to as arthrogryposis but rather as an isolated congenital contracture. The most common form of an isolated congenital contracture is clubfoot. When arthrogryposis affects two or more different areas in the body, it may be referred to as arthrogryposis multiplex congenita (AMC).
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Help me I don’t know
AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
In the given triangle A is the incenter for triangle PQR.
By observing figure, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
Subtract 3x and add 2 on both sides of equation.
4x - 3x = 9 + 2
x = 11
Now plug in x value in ∠QPA=3(11)+2
=33+2=35 degrees.
Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.
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make a box-and-whisker plot of data 21,27,22,22,25,14,16,10
The minimum value, Q1, Median, Q3 and maximum value of the data are 10,15,21.5, 23.5 and 27 respectively. The box-and-whisker plot of data is attached
How to make a box-and-whisker plot of data?Given: 21,27,22,22,25,14,16,10
Arrange the data in ascending or descending order:
10,14,16,21,22,22,25,27
The minimum value = 10. The maximum value = 27
Find the median. The median is the value in the middle. The median values are 21 and 22. Thus:
10,14,16,21,22,22,25,27
Median (Q2) = (21+22)/2 = 21.5
Consider the values to the left of the median with one of the median numbers included (since we have two numbers in the middle): 10,14,16,21
Median = (14+16)/2 = 15
Thus, Q1 = 15
Also, consider the values to the right of the median with one of the median numbers included: 22,22,25,27
Meadian = (22+25)/2 = 23.5
Thus, Q3 = 23.5
To create a box and whiskers plot use Minimum value, Maximum value, Q1, Median(Q2) and Q3 (Check the attached image)
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c) Write as a power of 10: (10 x 10 x 10 x 10 x 10) (10 x 10) ÷
10^7 ÷
your question is incomplete, please comment the full question for a more accurate answer
points b , c and d lie on a straight line
AC is perpendicular to BD
BC=6cm and BD=22cm
triangle ABC has an area of 42
calculate the size of angle x
Step-by-step explanation:
To Find : size of angle x
Solution:
Area of ΔABC = (1/2) * BC * AC
=> (1/2) * BC * AC = 42
=> (1/2) * 6 * AC = 42
=> AC = 14 cm
BD = BC + CD
=> 22 = 6 + CD
=> CD = 16 cm
Tan x = AC /CD
=> Tan x = 14/16
=> Tanx = 7/8
=> x = Tan⁻¹(7/8)
=> x = 41.186°
The size of the angle is - 41. 186°
Points b,c, and d lie in a straight line. AC is perpendicular to BDBC = 6 cm, BD = 22 cm. Triangle ABC has an area of 42cm². the size of the angle = xarea of triangle ABC = 1/2 * BC * AC
or, 1/2 *BC * AC = 42
or, 1/2 * 6 * AC = 42
or, 3 * AC = 42
divide both sides by 3,
AC = 14 cm
BD = BC + CD
or, 22 = 6 + CD
or, CD = 16 cm
tan x = [tex]\frac{AC}{CD}[/tex]
or, tan x = [tex]\frac{14}{16}[/tex]
or, tan x = [tex]\frac{7}{8}[/tex]
or , x = 41. 186°
∴ The size of the angle is - 41. 186°.
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PLEASE HELP n is m% of what
Answer:
100n/m
Step-by-step explanation:
n = m% of x
n = mx/100
x = 100n/m
Consider the figure shown below (not drawn to scale). Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J The length of vertical segment XY is: W(3,13) P 0 T(9,9) S(9,3) -X
Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J. the length of vertical segment XY is 6.
What is a vertical segment?Generally, A part of a line that is totally vertical is referred to as a vertical line segment. This means that the two vertices that make up the segment's ends have the same x- and y-coordinates but different z-coordinates than one another.
The length of vertical segment XY can be found by subtracting the y-coordinate of point X from the y-coordinate of point Y.
In this case, the y-coordinate of point X is 13 and the y-coordinate of point Y is 7, so the length of vertical segment XY is
13 - 7 = 6.
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Complete Question not found
Image not found
PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU
true or false: in a probability model, the sum of the probabilities of all outcomes must equal 1.
Answer:
Step-by-step explanation:
false that is not at all true
Written as a mixed number, the improper fraction 113⁄8 would appear as
[tex]\displaystyle\\Answer:\ \frac{113}{8} =14\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\frac{113}{8}=\\\\\frac{112+1}{8}=\\\\\frac{112}{8} +\frac{1}{8} =\\\\14+\frac{1}{8} =\\\\14\frac{1}{8}[/tex]
Use square roots to solve the equation x² = -36 over the complex numbers.
Answer:
x=+/- i 6
Step-by-step explanation:
x²=+/- rad(i²*36) i²= -1
x²=+/-i rad(36) [rad = square roots]
x²=+/- i 6
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (−7, 7, 7)
(√98, 7π /4,7) Incorrect:
(b) (−7, 7 3 , 1)
(14, π /3,1) Incorrect:
The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is (14, -π/3, 1).
We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)
A)(−7, 7, 7)
Given rectangular coordinates(x, y, z) =(−7, 7, 7)
The cylindrical coordinates are (r, θ, z)
As a result, we determine each value of r and θ separately.
r = √x²+y²
r = √(-7)²+(7)²
r = √49+49
r = √98
θ = tan⁻¹ (y/x)
θ =tan⁻¹ (7/-7)
θ =tan⁻¹ (-1)
θ = -π/4
So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)
B) (-7,7√3,1)
Given rectangular coordinates(x, y, z) = (-1,1,1)
The cylindrical coordinates are (r, θ, z)
As a result, we determine each value of r and θ separately.
r = √x²+y²
r = √(-7)²(7√3)²
r = √49+147
r = √196
r = 14
θ = (y/x)
θ = (7√3/-7)
θ = (-√3)
θ = -π/3
So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)
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Maon bought 64 pack of candy for $2 each. He old all of thee pack to hi friend for $4
each. Which equation can be ued to find p, the total profit that Maon earned?
The equation representing the total profit earned by Maon is Profit = 256 - 128.
Profit is calculated by the formula -
Profit = Cost price - Selling price
Cost price = 64×2
Performing multiplication to find the cost price
Cost price = $128
Selling price = 64×4
Performing multiplication to find the selling price
Selling price = $256
Keep the values in equation to find the profit
Profit = 256 - 128
Performing subtraction on Right Hand Side of the equation to find the profit
Profit = 128
Thus, the profit earned is $128.
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Use synthetic division to find the result when x4 - 11x³ +26x² + 10x + 28 is
divided by x - 7.
Answer: x³-4x²-2x-4
Tips:
Bring down top values, then multiply by the outside value, then put it under the next value, add, and repeat
please help me answer this question
Answer:
The two equations are true for the same value because when you substitute 7 for x both of them are correct
Step-by-step explanation:
1) 3(7) - 5 = 16 3(7) = 21
27 - 5 = 16 21 = 21
16 = 16 True
True
2[(x+2y)-4(6x+3y)+(4x+3y)]
Answer:
-38x - 14y
Step-by-step explanation:
2[x+2y - 24x - 12y + 4x + 3y]
2 [ -19x -7y]
- 38x - 14y
PLEASE HELP ASAP, DUE TONIGHT! 5th grade math
The result of subtractions with mixed fractions are listed below:
71 / 2827 / 105 / 65 / 425 / 12How to make subtractions with mixed fractions
In this question we have five case of subtractions with mixed fractions, the procedure is summarized below:
Transform all mixed fractions into improper fractions.Subtract the resulting expression by algebra properties.Simplify the resulting fraction if necessary.Case 1
[tex]5 \frac{1}{4} - 2\frac{5}{7}[/tex]
(5 + 1 / 4) - (2 + 5 / 7)
(20 / 4 + 1 / 4) - (14 / 7 + 5 / 7)
(21 / 4) - (19 / 7)
(21 · 7 - 19 · 4) / (4 · 7)
71 / 28
Case 2
[tex]4\frac{1}{2} -1\frac{8}{10} \\[/tex]
(4 + 1 / 2) - (1 + 8 / 10)
(8 / 2 + 1 / 2) - (10 / 10 + 8 / 10)
9 / 2 - 18 / 10
9 / 2 - 9 / 5
(9 · 5 - 9 · 2) / (2 · 5)
(45 - 18) / 10
27 / 10
Case 3
[tex]3\frac{1}{2} - 2\frac{2}{3}[/tex]
(3 + 1 / 2) - (2 + 2 / 3)
(6 / 2 + 1 / 2) - (6 / 3 + 2 / 3)
7 / 2 - 8 / 3
(7 · 3 - 8 · 2) / (2 · 3)
(21 - 16) / 6
5 / 6
Case 4
[tex]2\frac{3}{4} - 1 \frac{1}{2}[/tex]
(2 + 3 / 4) - (1 + 1 / 2)
(8 / 4 + 3 / 4) - (2 / 2 + 1 / 2)
11 / 4 - 3 / 2
(11 · 2 - 3 · 4) / (4 · 2)
(22 - 12) / 8
10 / 8
5 / 4
Case 5
[tex]3\frac{1}{3} - 1 \frac{1}{4}[/tex]
(3 + 1 / 3) - (1 + 1 / 4)
(9 / 3 + 1 / 3) - (4 / 4 + 1 / 4)
10 / 3 - 5 / 4
(10 · 4 - 5 · 3) / (4 · 3)
(40 - 15) / 12
25 / 12
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Micaela has $0.20 worth of pennies and nickels. She has a total of 8 pennies and
nickels altogether. Determine the number of pennies, a, and the number of nickels,
y, that Micaela has.
Micaela has
pennies and
nickels.
Answer:
3 nickels and 5 pennies
Step-by-step explanation:
3 nickels = 15¢
5 pennies = 5¢
15+5=20
What is the quotient?
Answer:
11/50
Step-by-step explanation:
=5x2+1= 11/5
=1/10×11×5
=11/50
The volume of a one i 125(pi) in3. The height i three time the length of the radiu. What i the height of the cone
The volume of a cone is 125(pi) in3. The height is three time the length of the radius. The height of the cone = 3 × 125π = 375π inches
Given:
Volume of cone = 125π in3
Height = 3 times the radius
To find:
Height of the cone
Height of the cone = 3 × 125π = 375π inches
The given information is the volume of a cone, which is 125π in3, and the height of the cone which is 3 times the radius. To find the height of the cone, we need to multiply the volume by 3. Using the given information, we can calculate the height of the cone by multiplying 125π by 3, which gives us 375π inches as the height of the cone.
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The solution to an inequality is given in set builder notation as {x 1 x > 2/3}. What is another way to represent this solution set?
Answer:
Step-by-step explanation:
34/5=p2
Little help here? Also say why you got the answer…?
Answer: B
Step-by-step explanation:
Equation: S=KT
Just do S divided by T to get K and you get 7
Answer: s=7t
Step-by-step explanation:
you have to multiply every answer in the t column by 7 to get the number across in the s column
high school has 36 players on the football team. the summary of the players' weights is given in the box plot. how many players weigh between 169 and 194 pounds?
There are 8 players who weigh between 169 and 194 pounds.
To answer this question, we can look at the box plot to understand the distribution of weights on the football team. The box plot shows us the minimum, maximum, median, and quartiles of the team's weights. The left quartile is 169 pounds, and the right quartile is 194 pounds. This means that 25% of the team's players weigh between 169 and 194 pounds. Since the team has 36 players, 25% of 36 is 9. However, since we are looking at the number of players between 169 and 194 pounds, we need to subtract 1 since the right quartile of 194 pounds is included in the number of players. Thus, there are 8 players who weigh between 169 and 194 pounds.
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What is the slope of the line that passes through the points (2, 3) and (0, 11)? Write
your answer in simplest form.
Answer:
The slope is -4.
Step-by-step explanation:
[tex]m = \frac{11 - 3}{0 - 2} = \frac{8}{ - 2} = - 4[/tex]
The ordered pair that is a solution of the equation y = | -6x + 2 |
The ordered pair that is a solution to the given equation, y = | -6x + 2 |, is (1, 4)
Determining the ordered pair that is a solution to an equationFrom the question, we are to determine the ordered pair that is a solution of the given equation
The given equation is
y = | -6x + 2 |
To determine the ordered pair that is a solution to the equation, we will pick a value for x and determine the value of y for the value
y = | -6x + 2 |
Put x = 1
y = | -6(1) + 2 |
y = | -6 + 2 |
y = | -4 |
y = 4
Hence, the ordered pair is (1, 4)
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Ciara Walker was earning $47,100 and received a 13% raise. Find her new annual earnings directly.
The annual earnings for Walker will be $53223.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.
In this case, Ciara Walker was earning $47,100 and received a 13% raise.
Her new annual earnings directly will be:
= $47100 + (13% × $47100)
= $47100 + $6123
= $53223
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