Using proportions, it is found that the seismic activity density for this state is of 0.0059 earthquakes per square mile.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the density is the proportion given by the number of earthquakes divided by the area, hence:
424/71,300 = 0.0059 earthquakes per square mile.
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Answer: Using proportions, it is found that the seismic activity density for this state is of 0.0059 earthquakes per square mile.
Step-by-step explanation:
in a school of 40 students, 14 liked English language only, 7 students like both English and French language and 12 also like French language only
a. how many students like English but not French?
b. many students did not like any of the two languages?
c. how many students like at least one of the language?
d. if a student is chosen at random what is the probability that he likes only French
Answer:
A. 14, because it says that only 14 liked English language ONLY
B. It’s 7.
14 liked only English, 7 liked both languages, 12 liked only French.
Add those them together.
14 + 7 + 12
21 + 12
33
33 - 40 = 7
( 33 is the number of students that liked a language and 40 is ALL the students in total )
So it would be 7.
C. 26 liked one language.
7 liked both languages and 7 didn’t like neither. You could add them together.
7 + 7 = 14
40 - 14 = 26
OR
14 + 12 = 26
( just English + just French )
D. The probability of a student chosen at random that ONLY likes French would be 12/40.
Since only 12 of the 40 students liked ONLY French, it would be 12/40 or 12 : 40
Step-by-step explanation:
I hope it helps! Have a great day!
Pan~
Answer:
a) 14
b) 7
c) 33
d) P = 12/40 = 3/10 (In decimal P=0.3)
Step-by-step explanation:
Hope this helps
Geometry question confused on how to solve this answer
The acute angles of a right triangle are complementary, so [tex]\boxed{m\angle F=34^{\circ}}[/tex].
Using right-angle trigonometry, we know that
[tex]\cos 56^{\circ}=\frac{26}{DF}\\\\DF=\frac{26}{\cos 56^{\circ}}\\\\\boxed{DF \approx 46.5}[/tex]
[tex]\tan 56^{\circ}=\frac{FE}{26}\\\\FE=26 \tan 56^{\circ}\\\\\boxed{FE \approx 38.5}[/tex]
Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to use? cosine theta = startfraction 1 over secant theta endfraction sine squared theta cosine squared theta = 1 cosecant theta = startfraction r over y endfraction
Answer:
Step-by-step explanation:
From the right triangle with cot theta = 4/7 = (adjacent side / opposite side), Fatima can find the length of the hypotenuse using Pythagoras. This gives a value of 8.0823. So cos theta = 4 / 8.0823 = 0,49614,
Then she could find the values of sin theta using
sine squared theta + cos squared theta = 1.
Answer: its D or 1 + cotangent squared theta = cosecant squared theta
Step-by-step explanation:
determine the slope of the line
Answer:
2
Step-by-step explanation:
We can find the slope of the line by using the slope formula
m = ( y2-y1)/(x2-x1) where ( x1,y1) and (x2,y1) are points on the line
Using the points (0,-4) and (2,0)
m = ( 0 - -4)/ ( 2 - 0)
= ( 0+4)/( 2-0)
= 4/2
= 2
Nozomi works as a waiter and earns $16/h. She also receives 8% of the gratuities earned by all the staff. In one week, she worked 20 hours and the gratuities totalled $1,267.28. What was Nozomi’s gross pay?
Her gross pay is $421.38
What was Nozomi’s gross pay?First, we know that she gets $16 per hour, and she worked 20 hours, then she gets:
20*$16 = $320
Now we also know that she receives a percentage of 8% of the gratuities, and the gratuities totaled $1,267.28
The 8% of $1,267.28 is:
$1,267.28*(8%/100%) = $1,267.28*0.08 = $101.38
Her gross pay is:
P = $101.38 + $320 = $421.38
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What is the slope of the equation y =5/4x-7/4?
Answer is 5/4The slope is the number next to the “x” in the y intercept formula
y= m (slope) x + b
Answer: m= 5/4
Step-by-step explanation:
La ecuación general de la recta es y=mx+by=mx+b, donde m es la pendiente y b es la intersección en y
y=mx+by=mx+b
What is the scale factor of dilation
(The smaller triangle is the image the bigger one is the pre image)
Given: Line l and line m intersect Prove: Image of perpendicular lines l and m with 1, 2, 3, and 4 as angles at the point of intersection Statements Reasons 1. Line l and line m intersect 1. given 2. is supplementary to 2. linear pair theorem 3. ? 3. ? 4. 4. congruent supplements theorem Which statement and reason best completes the proof? A. 3. is supplementary to 3. linear pair theorem B. 3. 3. definition of supplementary angles C. 3. 3. definition of supplementary angles D. 3. is supplementary to 3. linear pair theorem
An angle will always be formed when two or more lines intersect. These can form a series of complementary or supplementary angles. Complementary angles add upt o a right angle, while supplementary angles are two or more angles formed that add up to [tex]180^{o}[/tex]. Thus two supplementary angles can be referred to as a linear pair.
Therefore the required statements and reasons for the question are stated below:
STATEMENT REASONS
1. Line l and line m intersect Given
2. <1 is supplementary to <2,
<3 is supplementary to <4 Linear pair theorem
3. m<2 + m<3 = [tex]180^{o}[/tex],
m<3 + m<4 = [tex]180^{o}[/tex] Definition of Supplementary angles
4. m<1 + m<2 = m<3 + m<4 = [tex]180^{o}[/tex] Congruent Supplement Theorem
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Answer:
Step-by-step explanation:
<3 is supplementary to <4 Linear pair theorem
I took the plato test and got it right
5.
Factorise each of the following.
(a)-15ab-6ab²
(b) 6x(2y-5)-3(5-2y)
PLEASE HELP IM STUCK
The slope-intercept equation for the given line is y = 2x + 3
Equation of a straight lineFrom the question, we are to determine the equation for the line
The slope-intercept form of the equation of a straight line is
y = mx + b
Where m is the slope
and b is the y-intercept
First, we will determine the slope
Slope of the line = (3 - 0) / (1.5 - 0)
Slope of the line = 3/1.5
Slope of the line = 2
∴ m = 2
On the graph, we can observe that the y-intercept is 3
∴ b = 3
Thus,
The equation becomes
y = 2x + 3
Hence, the slope-intercept equation for the given line is y = 2x + 3
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21+21+7+7+7+7+8+8+8+8+9+9
Answer:
21+21+7+7+7+7+8+8+8+8+9+9
Step-by-step explanation:
amswer is 120
Answer:
Step-by-step explanation:
21+2=42.There are four sevens-which is 7x4=28.There are four eights meaning it is 8x4=32+28=60+42=102+(9+9)=102+18=120
Can someone help me
Answer:
1. y = 0
2. f(x) has a horizontal asymptote at y=3/2
I hope this helps and that you can give a brainliest!
Step-by-step explanation:
There is a horizontal asymptote at y = 0 because the degree of the x value in the denominator is greater than the degree of the numerator (since it doesn't exist in the numerator, it counts as 0).
The second question does not have a slant asymptote.
The degree of both numerator and denominator are equal, so the horizontal asymptote is the quotient of the leading coefficients. So, it's 3 divided by 2.
(6. Factorise:
(a) 4a²-28ab-a+7b
(b) 2a²-366²
(c) 12ce-9c-8de+6d
(d) a² +b²+2ab-2a-2b-3
(e) 5-45a²
(f) p(y-2)-q(z-y)
(g)
³-y²z-y₂² +2³
J
Answer:
a. 1ab (4 -28+7)
b 2(a² - 183²)
c. cde(12-9-8+6)
d ab(a+b +2 -2-2 -3)
e 5(1- 9a²)
f py- 2p - qz -qy
pqy (1 - 2 -z -1)
Seventy percent of kids who visit a doctor have a fever and 21% of kids have fever and sore throats .
What is the probability that a kid who goes to the doctor has a sore throat given that he has a fever?
The probability that a kid who goes to the doctor has a sore throat given that he has a fever is 30%
How to determine the probability?The given parameters are:
P(Fever) = 70%
P(Fever and sore throat) = 21%
The probability that a kid who goes to the doctor has a sore throat given that he has a fever is calculated as:
P = P(Fever and sore throat)/P(Fever)
So, we have:
P = 21%/70%
Evaluate
P = 30%
Hence, the probability is 30%
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The dollar-mart grocery stores sales six bars of soap for $1. how many soaps can a customer buy with $9.
Answer:
54
Step-by-step explanation:
6 bars of soap = $1
x bars of soap = $9
We need to multiply both sides of the equation by the same amount so that $9 is on the right.
$1 x 9 = $9
6 x 9 = 54
So, you can buy 54 soaps with $9.
Hope this makes sense. Feel free to ask further if need be.
Figure ABCD is a parallelogram.
A
5x + 3
C
B
38
What is the value of x?
6
07
08
09
Answer:
7
Step-by-step explanation:
5x+3=38 subtract the 3 from the 38 leaving you with 35/5 getting you 7
The value of x in the given parallelogram is 7.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
So 5x+3=38
We need to find the value of x
Subtract 3 from both sides
5x=38-3
5x=35
Five times of x equal to thirty five
Divide both sides by 5
x=7
Hence, the value of x in the given parallelogram is 7.
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;
2.3p – 10.1 = 6.49p – 4 and230p – 1010 = 650p – 400 – pWhich equations have the same solution as the given equation?It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.
The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.
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Answer:
B & C
Step-by-step explanation:
edge 2023
Select the correct answer.
Choose the system of inequalities that best matches the graph below.
Considering the linear functions on the graph, the inequality that matches the situation is:
B.
[tex]y \geq \frac{1}{2}x + 2[/tex][tex]y \leq 2x + 1[/tex]What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The lower bound of the interval is a linear function with y-intercept of b = 2, that also passes through (2,3), hence the slope is:
m = (3 - 2)/(2 - 0) = 1/2.
Hence the inequality is:
[tex]y \geq \frac{1}{2}x + 2[/tex]
The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:
m = (5 - 1)/(2 - 0) = 2.
Hence the inequality is:
[tex]y \leq 2x + 1[/tex]
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4. Alex is painting a house. He uses 1/3 of the
paint he bought on the dining room. He uses
twice as much on the living room as on the
kitchen, where he uses 1 ½ gallons. He has 12
gallons of paint left. How much paint did Alex
buy?
Alex bought 24.75 gallons of paint to use for the house painting.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of paint bought by Alex, hence:
(1/3)x + 3/2 + 2(3/2) + 12 = x
X = 24.75 GALLONS
Alex bought 24.75 gallons of paint to use for the house painting.
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HELP ME, IT'S AN EMERGENCY
Answer:
(A) 36°
Step-by-step explanation:
Find intercepted arc (RT):
360° - 288° = 72
*A circle is 360°*
Find angle RST:
An inscribed angle = 1/2 intercepted arc
angle RST = 1/2(72)
Angle RST = 36°
1 x/3 - 3/4 = 5/12
solve for x!
The value of x is 7/2
How to solve for x?The equation is given as:
x/3 - 3/4 = 5/12
Multiply through by 12
4x - 9 = 5
Add 9 to both sides
4x = 14
Divide by 4
x = 7/2
Hence, the value of x is 7/2
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round to the hundredths pl[tex]2÷6.3[/tex]ace
The value of the expression [tex]2 \div 6.3[/tex] is 0.32
How to solve the expression?The expression is given as:
[tex]2 \div 6.3[/tex]
Rewrite as:
[tex]2 \div 6.3= \frac{2}{6.3}[/tex]
Multiply the expression by 10/10
[tex]2 \div 6.3= \frac{20}{63}[/tex]
Divide 20 by 63
[tex]2 \div 6.3= 0.31746031746[/tex]
Approximate to the nearest hundredth
[tex]2 \div 6.3= 0.32[/tex]
Hence, the value of the expression [tex]2 \div 6.3[/tex] is 0.32
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Find the volume of the cone.
either enter an exact answer in terms of it or use 3.14 for i and round your final answer to the nearest
hundredth.
The volume of the cone of radius 5 units and height 3 units is 78 cubic units.
Given radius of cone 5 units and height of cone be 3 units.
We are required to find the volume of cone.
Volume is the amount of substance that a container can hold in its capacity.
Formula of cone is 1/3 *π[tex]r^{2} h[/tex] in which r is radius and h is height of cone.
We have to just put the values in formula.
Volume=1/3 *π[tex]5^{2} 3[/tex]
=25*3π/3
=75π/3
=25π
Put π=3.14 as said in the question.
=25*3.14
=78.5 cubic units.
After rounding we will get 78.
Hence the volume of cone whose radius is 5 units and height is 3 units is to be 78 cubic units.
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Question is incomplete as it should include the figure.
If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the account every two months for the next 6 years?
The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000
What is compound interest?
The formula for compound interest is given as;
[tex]A = P ( 1 + \frac{r}{n} )^n^t[/tex]
P = principal interest = $25, 000
r = rate = 4. 5%
n = 2 months
t = 6 years
A = [tex]25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6[/tex]
A = [tex]25, 000(1 + 0. 75)^1^2[/tex]
A = [tex]25, 000( 825. 00)[/tex]
A = $20, 625, 000
Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000
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What is the recursive formula for the geometric sequence with this explicit
formula?
a^n=9(-1/3)^(n-1)
Simplify 4/9 + 1/3
A 5/12
B 7/9
C 1 1/9
D 15/9
Answer:
B) 7/9
Step-by-step explanation:
Fraction addition: If the denominators are not same, find the LCM of the denominators.LCM of 3 and 9 is 9.
Now, find equivalent fractions with denominator as 9.[tex]\sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\[/tex]
[tex]\sf =\dfrac{3}{9}[/tex]
Now add.[tex]\sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\[/tex]
[tex]\sf =\dfrac{7}{9}[/tex]
. An automobile license plate number issued by a certain state has 6 character positions. Each of the first 3 positions contains a single digit from 0 through 9. Each of the last 3 positions contains 1 of the 26 letters of the alphabet. Digits and letters of the alphabet can be repeated on a license plate. How many different such license plate numbers can be made
Answer:
17,576,000
Step-by-step explanation:
3 digits followed by 3 letters
Draw an underline character for each position with multiplication signs in between them.
_ × _ × _ × _ × _ × _
Now fill in each blank with the number of characters that can be used in that position. The first three blanks are used with digits, 0 through 9. There are 10 digits 0 through 9.
10 × 10 × 10 × _ × _ × _
For the last three blanks, each one gets a letter from A through Z. There are 26 letters to choose from fore each of the last three blanks.
10 × 10 × 10 × 26 × 26 × 26 = 17,576,000
What is the point-slope form of a line with slope that contains the point
(-2, 1)?
Answer:
d; y - 1 = 4/5(x + 2)
Step-by-step explanation:
the equation for a point-slope form line is y - y1 = m(x - x1)
plug in the points and you will get your answer
y - 1 = 4/5(x + 2)
that is your answer
Computer geometric modeling is used regularly to help design solid figures we see and use every day. Software programs use techniques such as scaling and rotation to create solid figures that model objects. Research computer geometric modeling and then answer these questions. What basic shapes are used in modeling real-world objects? How are some of the concepts you learned in this unit related to computer geometric modeling? Why is creating a geometric model of something before producing it important?
The geometric modeling is analyzed below.
How to illustrate the information?Basic shapes are generally created using points, lines, circles, and triangles. Some basic shapes are rectangles, ellipses, triangles, and curves.
In geometric modeling, we make a cad model of parts for virtual analysis. By geometric modeling, one can model, and perform CAE analysis to optimize the product.
The best part is the period of doing all this is very small compared to practical manufacturing and looking at the product. In CAD one can very quickly alter the design and come up with new concepts in a very small span of time.
Here chances of error can be shorted easily and there is no wastage of material hence cost saving is there compared to practically manufacturing the part and altering it.
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What makes this graph misleading?
Different bar widths
The bars should be horizontal
Inconsistent scale on the y-axis - Correct
Y-axis didn't start at zero
The reason the graph given is misleading is that there is an Inconsistent scale on the y-axis.
Why is the graph misleading?The y-axis is inconsistent because it went from 0 to 200 and instead of continuing to increase by 200, it begins to increase by 10.
This is misleading because the scale used has to be uniform or else it would be hard to read the data.
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