Answer:
1)To find the mean, median, mode and midrange for each gender.
From the given data,
Male: 191,222,168,154,178,155,190,170,178,202,169,184,149,160,181,158
For Men:
Mean is,
[tex]=\frac{191+222+168+154+178+155+190+170+178+202+169+184+149+160+181+158}{16}[/tex][tex]=\frac{2809}{16}=175.5625[/tex]Mean is 175.5625
Arrange the given data in ascending order,
149,154,155,158,160,168,169,170,178,178,181,184,190,191,202,222
Median is,
[tex]=\frac{170+178}{2}=174[/tex]Median is 174
The mode is one of the values of the measures of central tendency. This value gives us a rough idea about which of the items in a data set tend to occur most frequently.
Mode is 178.
Female: 136,160,101,126,119,165,102,135,137,140,115,126,140,121,124
For Women:
Mean is,
[tex]=\frac{136+160+101+126+119+165+102+135+137+140+115+126+140+121+124}{15}[/tex][tex]=129.8[/tex]Mean is 129.8
Arrange the given data in ascending order,
101,102,115,119,121,124,126,126,135,136,137,140,140,160,165
Median is 126
Mode is 126,140
could you please help me out with a question
Circumference
Formula
C = 2*pi*r
Substitution
C = 2*(3.14)* (5)
Simplification
C = 31.4 m This is the Circumference
Area
Formula
A =pi*r^2
Substitution
A = 3.14*5^2
Simplification
A = 3.14*25
Result
Area = 785 m^2 This is the area
2. The scale from the real Eiffel Tower to the scale model is 15 ft to 3 in. What is the unit rate?
Ok, so
If the scale from the real Eiffel Tower to the scale model is 15 ft to 3 in, the unit rate will be:
[tex]\frac{15ft}{3in}=5\frac{ft}{in}[/tex]This means that, in the scale:
5 ft = 1 in.
Then, the unit rate is 5.
1. Write 250 metres as a fraction of a kilometre.
Answer:1/4 or 0.25/1
Step-by-step explanation:
In 1 kilometer there are a thousand meters. So 250 is a quarter of 1000 which makes the fraction 1/4 or 0.25/1 whichever you need.
50 POINTS SHOW WORK PLEASE!!!! LORAN is a long-range hyperbolic navigation system. Suppose two LORAN transmitters are located at the
coordinates (-100,0) and (100,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
Answer:
x²/10000 + y²/1900 = 1
Step-by-step explanation:
coordinates (-100,0) and (100,0) missing in Question
The center of the hyperbola is (0,0) = (h, k)
c = the distance form the center to either focal point = 100
c² = 100² = 10000
The differences from the receiver to the transmitters = 2a
2a = 180
=> a = 90
=> a² = 8100
b² = c² - a²
b² = 10000 - 8100
b² =1900
(x - h)²/a² + (y - k)²/b² = 1
=> x²/10000 + y²/1900 = 1
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Irma was in charge of keeping attendance for a local summer camp each year.
Summer camp attendance
Year Kids
2018 93
2019 92
2020 78
2021 75
2022 78
According to the table, what was the rate of change between 2018 and 2021?
According to the table, the rate of change between 2018 and 2021 was 22.22%
What is rate of change?A variable's rate of change over a predetermined amount of time. It is frequently used while discussing momentum and is typically represented as a ratio of one variable's change to another's corresponding change.
Given that,
Year Kids
2018 93
2019 92
2020 78
2021 75
2022 78
So, we have to calculate the rate of change between 2018 and 2021:
As we know, rate of change = (change in year / change in kids) × 100
rate of change = (4/ 18) × 100
rate of change = 22.22%
So, according to the table, the rate of change between 2018 and 2021 was 22.22%
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Brandon has a jar of quarters and dimes with a total value of $6.05. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimesdoes Brandon have?Number of quarters -Number of dimes -
SOLUTION:
In this problem.
Let number of dimes = x, then number of quarters = 2x - 7.
The monetary values of quarters and dimes are;
[tex]\begin{gathered} 0.1x+0.25(2x-7)=6.05 \\ 0.1x+0.5x-1.75=6.05 \\ 0.6x=7.8 \\ x=13 \end{gathered}[/tex]Thus, 2( 13) - 7 = 19.
Therefore, there are 13 dimes and 19 quarters.
PLEASE HELP ME WHAT IS. THIS X^2+5x+4
Answer: (x+1)(x+4) is the solution
Step-by-step explanation:
Use the sum-product pattern
Common factor from the two pairs
Rewrite in factored form
Answer:
(x+1)(x+4)
Step-by-step explanation:
x²+5x+4
x²+4x+x+4
x(x+4)+1(x+4)
(x+1)(x+4)
At a certain school 6/7 are girls 3/5 brought their lunch what fraction of students are girls who brought their lunch today write your answer in its simplest form
18/35 fraction of students are girls who brought their lunch today.
What is fraction ?A fraction is a mathematical concept that denotes a component of a whole or, more generally, any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.
CalculationLet's say,
Total number of students over school = x
Number of girls = (6/7)x
Number of girls who brought their lunch = 3/5 of (6/7)x
⇒ 3/5(6/7)x
⇒ (18/35)x
Hence "18/35 fraction of students are girls who brought their lunch today".
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I don’t know how to solve this I would love some help and explanations oh now to solve it please
Given the point-slope equation
[tex]y+1=\frac{2}{3}(x-8)[/tex]Simplify as shown below
[tex]\begin{gathered} y+1=\frac{2}{3}x-8\cdot\frac{2}{3}=\frac{2}{3}x-\frac{16}{3} \\ \Rightarrow-\frac{2}{3}x+y=-\frac{16}{3}-1=-\frac{19}{3} \\ \Rightarrow-\frac{2}{3}x+y=-\frac{19}{3} \end{gathered}[/tex]The answer is -2x/3+y=-19/3. Write -2/3 in the first gap, 1 in the second gap, and -19/3 in the third one.
How to multiply fractions
[tex]\begin{gathered} \frac{a}{b}\cdot\frac{c}{d}=\frac{a\cdot c}{b\cdot d} \\ \Rightarrow8\cdot\frac{2}{3}=\frac{8}{1}\cdot\frac{2}{3}=\frac{8\cdot2}{1\cdot3}=\frac{16}{3} \end{gathered}[/tex]How to add fractions,
[tex]\begin{gathered} \frac{a}{b}+\frac{c}{d}=\frac{\text{ad+cd}}{bd} \\ \Rightarrow-\frac{16}{3}-1=-\frac{16}{3}-\frac{3}{3}=\frac{-16\cdot3-3\cdot3}{3\cdot3}=\frac{-48-9}{9}=-\frac{57}{9}=-\frac{19}{3} \end{gathered}[/tex]Answer:
2x + -3y = 19
Step-by-step explanation:
In this question, they already gave you the equation of the line. But it is in point-slope form. We just need to rearrange the equation to look like:
Ax + By = C
A and B and C should be positive or negative whole numbers. So let's get rid of the fraction first.
y + 1 = 2/3 (x - 8)
You could use distributive property on the right side, but that is just going to make two terms have fractions. Instead, let's multiply both sides by 3 and get rid of the fraction.
3(y + 1) = 3• 2/3(x-8)
3(y + 1) = 2(x - 8)
Now use distributive property.
3y + 3 = 2x - 16
We need x and y on the left and plain numbers on the right.
3y + 3 = 2x - 16
Subtract 3
3y = 2x - 19
Subtract 2x
3y - 2x = -19
Rearrange the x and y terms, put x in the lead.
-2x + 3y = -19
This is almost standard form. The A is supposed to be positive. So change the sign of ALL the numbers. A is 2, the B is -3 and the C is 19. Those are the numbers that go in the blanks on your question.
Perform the following food service calculation.
Meat to be served: fish fillet
Number of guests: 84
How much fish is needed?
____lbs.
The amount of fish needed to be served is 294 lbs
How to determine the amount of fish needed?From the question, we have the following parameters that can be used in our computation:
Meat to be served: 3.5 pounds fish fillet
Number of guests: 84
The amount of fish needed is calculated using the following equation
Amount of fish = Number of guests x Meat to be served
Substitute the known values in the above equation, so, we have the following representation
Amount of fish = 84 * 3.5
Evaluate the products
Amount of fish = 294
Hence, the amount needed is 294 pounds
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Possible question
Perform the following food service calculation.
Meat to be served: 3.5 pounds fish fillet
Number of guests: 84
How much fish is needed?
____lbs.
translate the sentence into an equation five time the sum of a number and 8 is equal to 4 use the variable b for the unknown number
Let us take the unknown number as b.
Sum of the number and 8 can be represented as,
8 + b
Therefore, five time the sum is,
5(8+b)
This is equal to 4, so,
5 (8 +b) = 4
This is the required equation.
The number is,
[tex]\begin{gathered} 5(8+b)=4 \\ 40+5b=4 \\ 5b=4-40 \\ 5b=-36 \\ b=-7.2 \end{gathered}[/tex]The number is, -7.2.
Find the correct graph that represents the inequality for the sentence.Kevin always has $5 or more in his pocket.
ANSWER:
STEP-BY-STEP EXPLANATION:
By the statement Kevin always has $5 or more, which means that x can be 5 or all values greater than this. So the correct graph would be the first option:
The random variable x has a normal distribution with standard deviation. It is known that the probability that x exceeds is. 90. Find the mean of the probability distribution.
The random variable x has a normal distribution with standard deviation. It is known that the probability that x exceeds is. 90. Therefore, mean of the probability distribution is 133.09.
We are given that the random variable x has a normal distribution with standard deviation 21,i.e;
X ~ N( u, σ=21)
The Z probability is given by;
Z = X- u/σ ~ (0,1)
Also, it is known that the probability that x exceeds 160 is 0.90 ,i.e;
P(X > 160) = 0.90
P( X-u/σ > 160-u /21 ) = 0.90
From the z% table we find that at value of x = -1.2816, the value of
P(X > 160) is 90%
which means; 160-u /21 = -1.2816
160 - = 21*(-1.2816)
= 160 - 26.914 = 133.09
Therefore, mean of the probability distribution is 133.09.
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Order the numbers 7/4 , 1 .6, 1 5/8 , 1. 62 from least to greatest.
Answer:
1.6, 1.62, 1 5/8, 7/4
Step-by-step explanation:
First, let's turn the fractions into decimals:
For 7/4 you simply divide 7 by 4. Which equals 1.75.
Next for 1 5/8 we divide 5 by 8, which equals 0.625. + the 1 in 1 5/8. So we have 1.625.
Now, we arrange the decimals:
1.6, 1.62, 1.625, 1.75
But this is NOT the answer. We have to replace the decimals that WERE fractions back to the original, then order them from there:
1.6, 1.62, 1 5/8, 7/4.
This IS the answer.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
the answer to this question is in the screenshot. pls mark this answer as the brainliest
Step-by-step explanation:
Are 3/11 and 17/6 proportional
Answer:
Step-by-step explanation:
NO! Hope I helped.
Which order pair can be plotted together with these four points, so that the resulting graph still represents a function.
The ordered pair that can be plotted together with these four points is
(0, 3).
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The following coordinates are from the graph.
(3, -1), (2, 3), ), (-4, 2), and (-2, -3)
We know that,
A function can have many-to-one but not one-to-many.
So,
We can not have (-2, 0), (-2, 3). and (3, 0) because we already have (-2, 3) and (3, -1).
This is an indication of a one-to-many function that is not possible.
(0, 3) is possible.
Thus,
The ordered pair that can be plotted together with these four points is
(0, 3).
Option C is the correct answer.
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Find the measures of the numbered angles in the isosceles trapezoid shown below.
First, notice that since we have an isosceles trapezoid, the base angles will be equal, then:
[tex]\measuredangle3=60\degree[/tex]next, we have that the angles adjacent to opposite bases are supplementary, then we can write the following equation:
[tex]\measuredangle2+\measuredangle3=180[/tex]using the fact that the measure of angle 3 is 60 degrees, we can find the measure of angle 2:
[tex]\begin{gathered} \measuredangle2+60=180 \\ \Rightarrow\measuredangle2=180-60=120 \\ \measuredangle2=120 \end{gathered}[/tex]then, since angles 1 and 2 are also base angles, they are equal. Therefore, the measure of the anlges is:
[tex]\begin{gathered} \measuredangle1=120 \\ \measuredangle2=120 \\ \measuredangle3=60 \end{gathered}[/tex]I really need help on this!!!
Answer:
a.
linear? yes
why? because it is straight line
domain? 8
range? 8
b.
linear ? no
why? because it's curved
domain? -4
range?4
This was the answer I got but I am not sure it it is correct.
To find JL
We will first find the value of x
JK = KL
2(x+6) = 3x + 8
2x + 12 = 3x+ 8
subtract 2x from both-side of the equation
12 = 3x-2x + 8
12 = x+ 8
subtract 8 from both-side of the equation
12 - 8 = x+ 8 - 8
4 = x
x=4
JK = 2(x+ 6)
substitute x = 4 into the above
JK = 2(4+6)
JK=2(10)
JK=20
KL =3x+8
substitute x=4 into the above
KL = 3(4) + 8
KL = 12 + 8
KL=20
JL = JK + KL
= 20 + 20
= 40
JL = 40 units
Andre has been offered an entry-level job. The company offered him $46,000 per year plus 3% of his total sales. Andre knows that the average pay for this job is $64,000, What would Andre's total sales need to be for his pay to be at least as high as the average pay for this job? (Your answer should be accurate to 2 decimal places.)
We know that:
- The company offered him $46,000 per year plus 3% of his total sales.
- the average pay for this job is $64,000
And we must find what would be the sales of Andre for his pay to be at least as high as the average pay for this job
To find it we can use a equation that represents the situation
We can use the next formula
[tex]\text{ average pay}=\text{ base salary}+\text{ 3\% of his total sales}[/tex]Analyzing the given information we know that
- avergare pay = 64000
- base salary = 46000
- 3% of total sales = 3% * x = 0.03 * x (x represents the total sales)
Now, replacing the values in the formula
[tex]64000=46000+0.03x[/tex]Since x represents the total sales we need to solve the equation for x
[tex]\begin{gathered} 64000=46000+0.03x \\ 64000-46000=0.03x \\ 18000=0.03x \\ \frac{18000}{0.03}=x \\ 600000=x \\ \Rightarrow x=600000 \end{gathered}[/tex]ANSWER:
Andre should have $600,000 in his total sales for his pay to be at least as high as the average pay for this job
Given the regular decagon (10-sided polygon) pictured below, which statements are true? CHOSE 3 ANSWERS. EXPLAIN HOW YOU GOT THEM PLEASE!!
A:The polygon has 90° rotational symmetry.
B:The polygon has 144° rotational symmetry.
C:The polygon has point symmetry.
D:The polygon has 36° rotational symmetry.
The statements the polygon has 144° rotational symmetry, The polygon has point symmetry and The polygon has 36° rotational symmetry are true.
We have to find the symmetry.
A decagon is given as
Number of sides = 10
So rotational symmetry = [tex]\frac{360^{0} }{n}[/tex]
= [tex]\frac{360 }{10}[/tex]
= 36°
So rotational symmetry angles are multiple of 36°
So 36° x 4 = 144° is a rotational symmetry.
The all sides are congruent, so decagon as point symmetry.
Hence the answer is The statements the polygon has 144° rotational symmetry, The polygon has point symmetry and The polygon has 36° rotational symmetry are true.
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Which is the graph of the linear inequality y >-x-3
Answer:
The correct graph is shown below.
Hope this helps!
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 10x - 8
Step-by-step explanation:
The slope is "m", or how much the y-value changes on a line when the x-value changes by one.
The y-intercept is the y value of the line when it is intersecting the y-axis, or when the x-value is 0.
To find the slope, take 2 points from the graph and plug into the slope formula:
[tex]\frac{y_2-y_1}{x_2-x\\_1}[/tex]
I'll use (0, -8) and (1,2).
Plug into the formula.
[tex]\frac{2--8}{1-0}[/tex]
[tex]\frac{10}{1}[/tex]
10
Slope = 10
To find the y-intercept, look at the table. What is the y-value when the x-value is equal to 0?
-8
y-intercept: -8
Slope-Intercept form:
y = mx + b
m: slope
b: y-intercept
y, x: leave as variables
y = 10x - 8
please help me its due soon and I don’t get it!!
Answer:
Step-by-step explanation:
These are tough, so picture a line ( graph) going up the picture.
I'm attaching my graph
M = 10*R
each raffle ticket cost 10 bucks
Find the value of each variable. I need help solving this
Answer:
y = 75; z = 75
Step-by-step explanation:
105 and z are a linear pair and that means they add up to 180
they are on a straight line which is why they are a linear pair
105 + z = 180
subtract 105 to both sides
z = 75
now add all of the remaining sides and subtract that from 360 because a quadrilaterals angles add to 360
75 + 89 + 95 = 259
360 - 259 = y
360 - 259 = 101
y = 101
these are your answer
Answer:
y=95
z=105
Step-by-step explanation:
rank me a brainliest
consider the following system of equations with the solution (1, 8). which system of equations would have the same solution?
Replacing x=1 in the equations to verify if the value of y is equal to 8, we have:
A.
y= 5*(1) + 3 = 8 (Multiplying and adding) (It is correct as the result for y is equal to 8)
y= 9*(1) - 1 = 8 (Multiplying and subtracting)(It is correct as the result for y is equal to 8)
B
y= 4*(1) + 2 = 6 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)
C
y= -2*(1) + 10 = 8 (Mulitplying and subtracting) (It is correct as the result for y is equal to 8)
y= 8*(1) + 1 = 9 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)
D.
y= 7*(1) -5 = 9 ≠ 8 (Multiplying and subtracting) (It is not correct as the result for y is not equal to 8)
The answer is the option A.
(d) In 7 years Bernard will be twice as old as he was 8 years ago. How old is Bernard now?
The present age of the Bernard is, 23.
What is age?
Given a date of birth, this free age calculator calculates age in terms of years, months, weeks, days, hours, minutes, and seconds.
Calculated using the population's arithmetic mean, average age. The median age is a factor that determines the population's average age.
As given, in 7 years Bernard will be twice as old as he was 8 years ago.
Let the present age of Bernard = x
Bernard age after 7 years = x + 7.
Bernard age before 8 years = x - 8.
From the given information,
2(x - 8) = x + 7
2x - 16 = x + 7
2x - x = 16 + 7
x = 23
Therefore, the present age of Bernard is 23.
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The diameter of a circle is 16 kilometers. What is the angle measure of an arc bounding a sector with area 8pi square kilometers?
The angle that defines the arc is x = pi/4.
How to get the angle?For a circle with a radius R, the area of an arc defined by an angle x is:
A = (x/2)*R^2
In this case, the diameter is 16km, then the radius is given by:
R =16km/2 = 8km
Then the area is:
A = (x/2)*(8 km)^2
And this must be equal to 8*pi km^2
Then we can solve the equation:
(x/2)*(8 km)^2 = 8*pi km^2
(x/2)*64 = 8*pi
x = 2*8*pi/64 = pi/4
That is the measure of the angle.
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How would I approach this problem? I’m not sure how to solve measurements
To identify the mass of the solute, subtract the total mass by the mass of the graduated cylinder.
Thus, we have the following:
[tex]20.6g-2.55g=18.05g[/tex]To obtain the concentration of the solution, divide the obtained mass by the total volume and then simplify.
Thus, we have the following:
[tex]\frac{18.05g}{74.79mL}=\frac{1805g}{7479mL}\approx0.241g\cdot mL^{-1}[/tex]4.
Jada drinks a cup of tea every morning at 8:00 am. for 14 days. There is 40 mg of
caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of
the caffeine is still in her body.
How much caffeine is in her body right after drinking the tea on the first, second, and third day?
1st day:
2nd day:
3rd day:
mg.
mg.
mg.
The amount of caffeine in her body on the 1st day is, 2.4 mg
The amount of caffeine in her body on the 2nd day is, 4.8 mg
The amount of caffeine in her body on the 3rd day is, 7.2 mg
Given, Jada drinks a cup of tea every morning at 8:00 am. for 14 days. There is 40 mg of caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of the caffeine is still in her body.
So, the amount of caffeine in her body on the 1st day is,
40×6/100
24/10
= 2.4 mg caffeine
The amount of caffeine in her body on the 2nd day is,
= 2× 2.4
= 4.8 mg caffeine
The amount of caffeine in her body on the 3rd day is,
= 3× 2.4
= 7.2 mg caffeine
Hence, The amount of caffeine in her body on the 1st day is, 2.4 mg
The amount of caffeine in her body on the 2nd day is, 4.8 mg
The amount of caffeine in her body on the 3rd day is, 7.2 mg
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