The frequency of data value 1 that is 10 will be 6 as "Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency."
What is relative frequency?The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event. The relative frequency is calculated by dividing each frequency by the total number of data values. Therefore, the frequency is calculated by multiplying the relative frequency by the total number of data values.
Here,
Value Relative frequency
10 0.15
20 0.30
30 0.45
40 0.10
data 1 value=10
Dividing each frequency by the total number of data values gives the relative frequency.
So, multiplying the relative frequency by the total number of data values gives the frequency.
40*0.15=6
Since "multiplying the relative frequency by the total number of data values gives the frequency," the frequency of the data value 1 that is 10 will be 6.
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CARPENTRY A carpenter is building a podium. The side panel of the podium is cut from a rectangular piece of wood. The rectangle must be
sawed along the dashed line in the figure.
The measure of angle1 in the given rectangular figure is 64° .
In the question ,
it is given that ,
the one of the angle is 116° .
From the figure below ,
we can see that
the dashed line is a transversal to AB and CD ,
the angles on the line AB form a linear pair ,
So , angle2 + 116° = 180°
angle2 = 180° - 116°
angle2 = 64°
Since the side panel of the podium is cut from rectangular piece
the figure is representing two parallel lines , cut by the transversal .
By the property of transversal that alternate interior angles are equal in measure ,
angle 1 = angle 2
hence , angle 1 = 64° .
Therefore , The measure of angle1 in the given rectangular figure is 64° .
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PLEASE HELP!!!!!!! A warehouse store sells 5.5-ounce cans of tuna in packages of 5. A package of 5 cans costs $10.45. The store also sells 4.5-ounce cans of the same tuna in packages of 8. A package of 8 cans costs $12.96. The store sells 3.5-ounce cans in packages of 4 cans for $4.76. Which package is the best buy? find the one with the smallest unit rate!!!
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,
⇒ ($10.45 x 5) / (5.5 x 5 x 5)
⇒ $0.38 per ounce
The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,
⇒ ($12.96 x 8) / (4.5 x 8 x 8)
⇒ $0.36 per ounce
The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,
⇒ ($4.76) / (3.5 x 4)
⇒ $0.34 per ounce
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
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Julia reads 25% of a book in 100 minutes. How much time is needed to finish the book?
Answer:
400 minutes
Step-by-step explanation:
25 % *4 =100 %
100*4=400 minutes
If y = 3x2 - 9, what is its inverse?
Answer:
f^-1(x) = √((y +9)/3)
Step-by-step explanation:
You want the inverse function of y = 3x² -9.
Inverse functionThe given relation will only have an inverse function if its domain is restricted to values x ≥ 0.
We can find that inverse function by interchanging the variables x and y, then solving for y:
x = 3y² -9
x +9 = 3y² . . . . . . . add 9
(x +9)/3 = y² . . . . . . divide by 3
y = √((x+9)/3) . . . . . take the square root
The inverse function is f^-1(x) = √((x +9)/3).
Fahima buys
2 packets of bread rolls costing £1.50 for each packet
1 bottle of ketchup costing £1.60
3 packets of sausages
Fahima pays with a £10 note
she gets 30p change
fahmia works out that one packet of sausages costs £2.30
is fahima right?
you must show how you get you answer
SOMEONE HELP PLEASE
⇒The volume is given and the height is give. In the equation [tex]V=\pi r^{2} h[/tex]plug in the known value V which is equal to [tex](160\pi )m^{3}[/tex] and h which is equal to 8m and solve for r which is the radius
⇒[tex]160\pi =\pi r^{2} *(8)\\\frac{160\pi}{\pi } =\frac{\pi r^{2} *(8)}{\pi } \\160=8r^{2} \\8r^{2} -160=0\\8(r^{2} -20)=0\\\frac{8(r^{2} -20)}{8} =\frac{0}{8} \\r^{2} -20=0\\(r+\sqrt{20} )(r-\sqrt{20} )=0\\r+\sqrt{20} =0\\or\\r-\sqrt{20} =0\\\\r=2\sqrt{5} \\or\\r= -2\sqrt{5}[/tex]
⇒Note radius is a distance therefore it cannot be negative meaning radius r is equal to [tex]\sqrt{20} =2\sqrt{5}[/tex]m
expressed in decimal is 4.5m
A radar tends to overestimate the distance of an aircraft, and the error is a normal random variable with a mean of 50 meters and a standard deviation 100 meters. What is the probability that the measured distance will be smaller than the true distance?.
Check answer below in the image.
Quick help would be appreciated : )
The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67
What is inverse variation?Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.
Example: If a varies inversely as b
This can be represented as;
a ∝ 1/b
Then,
ab = k
Where k is the proportionality constant
From the information given, we have that;
The number of kilometers = xThe liters of fuel = yx ∝ 1/ y
Then,
xy = k
Substitute the values
476 (17) = k
k = 8092
If x = 1428 and k = 8092
Let's determine the value of y
y = k/x
y = 8092/1428
y = 5. 67 liters
Hence, the value is 5. 67 liters
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-
Find the equation of a line parallel to x - 4y = 36 that passes through the point
(-4,-5).
The equation of a line parallel to x - 4y = 36 is x - 4y = 16.
If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.
Now, writing the given equation in slope-intercept form,
x - 4y = 36
4y = x - 36
[tex]y=\frac{1}{4}x-9[/tex]
By comparing it with slope-intercept form, we get
[tex]m=\frac{1}{4}[/tex]
c = -9
Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],
[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]
The equation of parallel line is x - 4y = 16.
Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.
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Can you please help me in this question.
Answer:
Don't know if i did it right but i think it is:
a=14
b=6
c=5
3x-y=6 2x+3y=4 elimination method
Answer:
Step-by-step explanation:
my answer is attached in the photo below
Need help lol for this
In the given rectangle, the values of f and g are the same that is 2√6cm.
What are rectangles?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.Therefore, a particular case of a square is a rectangle. To put it another way, a rectangle can also be a square (when all sides to are equal).So, the values of f and g are:
We know that APQD is a square and its area is 24 cm².Now, calculate the sides as follows:
Formula: A = s²
24 = s²s = √24s = √2×2×2×3s = 2√6So, each side of APQD measures 2√6cm.
So, DQ (g) = 2√6cmNow, we know that ABCD is a rectangle and we know that AD || CB and AD = CD.Then,
AD = CB = 2√6cmSo, CB (f) = 2√6cmTherefore, in the given rectangle, the values of f and g are the same that is 2√6cm.
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2(x + 3) = x-4
What is the answer?
Answer:
x=-10
Step-by-step explanation:
2(x+3) = 2x+6
2x+6=x-4
2x+6-6=x-4-6
2x=x-10
2x-x=x-10-x
x=-10
What is the slope of the line represented by the equation y = x-3?
03
-3
Answer:
slope of the line = 1
Step-by-step explanation:
i hope i helped
On a typing test, Warren has 8 errors for every 2 minutes he spends typing. How many minutes has Warren typed if he has 64 errors?
Answer:16 minutes
Step-by-step explanation:
64 errors / 8 errors = 8
8 x 2 minutes = 16 minutes
The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.
In words, describe the graph of the proportional relationship.
A line from (0, 0) going through (22.25, 25) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (25, 22.25) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
Answer:
(B) A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
Step-by-step explanation:
You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).
GraphThe independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.
The description from the available answer choices is ...
A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
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15 POINTS HELP!
A liquid used to unclog sinks has a pH value of 14. This liquid is _____.
neutral
an acid
a base
Answer:
A base
Step-by-step explanation:
its not an acid bc a ph level of 14 means is has a strong base.
Helen draws a random circle.
She then measures
its diameter and circumference.
She gets a
circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm
correct to 2 significant figures.
Helen wants to find the value of rt using the formula
T= G
Calculate the upper bound for Helen's value of TC.
Give your answer correct to 3 decimal places.
If Helen wants to find the value. the upper bound for Helen's value of TC is 3.123 and lower bound is 3.092.
How to find upper and lower bound?Upper bound
405 = 405.999
130 =130.99
Lower bound
405 = 405.001
130 =130.01
Now let find the upper and lower bound
Upper bound = 405.999/130.01
Upper bound =3.123
Lower bound = 405.001 /130.99
Lower bound = 3.092
Therefore the upper bound is 3.123.
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- 6 000 frs for 3 years at 4% p.a.
- 2 000 frs for 2 years 3 months at 3% p.a.
Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
Amount A = P(1+rt)
6000 = p(1+4*3)
6000 = p13
p = 6000/13
p = 461.5
Amount A = P(1+9/2*3)
2000 = P*27/2
P = 2000*2/27
P = 148.1
Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
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a shelf in the metro department store contains 80 colored ink cartridges for a popular ink-jet printer. seven of the cartridges are defective. (a) if a customer selects 2 cartridges at random from the shelf, what is the probability that both are defective? (round your answer to five decimal places.)
The probability that both are defective when a customer selects 2 cartridges at random from the shelf will be 0.00766.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The probability of choosing defective cartridge=7/80
So, the probability of choosing 2 defective cartridge=(7/80)²
=0.00765625
=0.00766
When a customer randomly chooses two cartridges from the shelf, the likelihood that both are flawed is 0.00766.
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x3+3x2−10x+24
Factorice el polinomio
The expression x³ + 3x² - 10x + 24 cannot be factorized
How to factorize the polynomial?From the question, the polynomial is given as
x3+3x2−10x+24
Rewrite the polynomial properly
So, we have the following representation
x³ + 3x² - 10x + 24
Next, we represent the above expression on a graph
From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -5.569
This implies that the expression cannot be factored
So, we cannot further rewrite the given expression
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I need help with these problems in Geometry (Similar Triangles)
Looking at the triangles, the values of x in the figures are
14. x = 1715. x = 3What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
figure in 14)
The solution for x
8 / (x + 5) = (x - 9) / 21
21 * 8 = (x + 5)(x - 9)
168 = x^2 - 4x - 45
x^2 - 4x - 213
x = 16.73 or -12.73
using the positive value
x = 17
figure in 15)
The solution for x
(x + 3) / 15 = 4 / (3x + 1)
cross multiplying
(x + 3)(3x + 1) = 15 * 4
3x^2 + 10x + 3 = 60
3x^2 + 10x - 57 = 0
x = 3 OR -6.333
taking the positive value
x = 3
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The length of a rectangle is the sum of the width and 2. The area of the rectangle is 63 units. What is the width, in units, of the rectangle?
Answer:
WITDTH=7
Step-by-step explanation:
width = w
length = w + 2.
w(w + 2) = 63 (area)
quadratic equation in w:
w2 + 2w = 63
w2 + 2w - 63 = 0
FACTOR:
(w + 9)(w - 7) = 0
9-7=2
9x(-7) = -63
Two possible solutions:
w + 9 = 0 (solution w = -9) or
w - 7 = 0 (solution w = 7)
The width must be positive, the answer is 7 units.
length = w+2
length = 9
Undergraduates
Graduates
Total
University Data
Receiving
Financial Aid
4222
1879
6101
Not Receiving Total
Financial Aid
3898
731
4629
8120
2610
10730
If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Write your answer as a percent, rounded to the nearest
whole number [?]%
Answer: 31%
Step-by-step explanation:
Out of the students that receive financial aid, 1879 out of the 6101 total students are graduates.
So, the probability is [tex]\frac{1879}{6101} \approx 31\%[/tex]
The half-life of a radioactive kind of americium is 7,380 years. How much will be left after
22,140 years, if you start with 188,320 grams of it?
grams
One-third of a number decreased by six equals eight. What is the number?
Answer:
42
Step-by-step explanation:
6+8=14x3=42
42/3=14-6=8
196 prime factorization pls help
-8-(b-3)=13-4b i need an answer but not a fraction or decimal
Answer:b=2/3 if u don't need an answer that is not a fraction or decimal u can write 17. as a whole number.
Step-by-step explanation:
This shows a linear function.
x y
0 15
1 25
2 35
3 45
4 55
Which equation represents the table?
A.
y = 10x + 15
B.
y = 15x + 10
C.
y = 10x
D.
y = 15x
Answer:
Option A: y = 10x + 15Step-by-step explanation:
Let's find the equation in the form of y=mx+b that fits the data. m is the slope and b is the y-intercept (the value of y when x=0). Slope, m, the the Rise/Run of the line. It can be found by taking any two points from the table. Let's choose (0,15) and (2,35), although any two will work.
x y
0 15
1 25
2 35
3 45
4 55
(0,15) (2,35)
The Rise is the change in y: (35 - 15) = 20.
The Run is the change in x for the same points: (2 - 0) = 2
The slope is the Rise/Run = (20/2) or 10.
The equation has the form y = 10x + b.
Let's find b. Just enter any of the points in the above equation and solve for b. I'll choose (3,45).
y = 10x + b
45 = 10*(3) + b
b = 45 - 30
b = 15
[Note: since b is the value of y when x equals zero, we really didn't need to calculate b as we just did. There is a data point already that tells us the value of y when x = 0: (0,15)]
The equation is y = 10x + 15Option A: y = 10x + 15Amy borrows $130 to buy supplies for
her birthday party. She receives gifts and
money from her friends and family.
The total amount of money that Amy
receives is $250. How much money does
Amy have after she pays back what she
borrowed?
Answer:
120
Step-by-step explanation: