1)The relative frequency of those who own a smartphone will be 45%.
2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
Given data;
The total number of persons polled:
⇒216 (26 + 84 + 72 + 34)
⇒216
The number of persons who own a smartphone is calculated as follows:
⇒26 + 72
⇒98
The relative frequency of those who own a smartphone is calculated as;
[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]
Hence,the relative frequency of those who own a smartphone will be 45%
2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.
Hence,option C is correct.
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Awnser The Question For 5pts!
Answer:
step 1
Step-by-step explanation:
in step one, it should have been 2 x 7 x 1000
Answer:
step 1
Step-by-step explanation:
In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700
4. Circle O is shown below. The diagram is not drawn to scale.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.
Therefore, we can infer that :
[tex]\qquad \sf \dashrightarrow \:\angle O= 2 × \angle R[/tex]
[tex]\qquad \sf \dashrightarrow \:\measuredangle O= 2 × 28 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:\measuredangle O= 56 \degree[/tex]
I hope that helps ~
Which of the following is a line segment in the drawing that connects two parallel lines?
DA
BE
AE
AB
Answer:
BE
Step-by-step explanation:
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
She made a mistake on step 3
The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]
This is what her steps should look like
[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]
Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.
Answer: The answer is in fact C.
Step-by-step explanation:
I am the lizard king, I can do anything.
Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take
to resurface a road of length 14 km?
Answer:
16 daysStep-by-step explanation:
Let x be the number of days that it will take.
7/8 km per 1 day
14 km per x day
We have to solve the equation:
[tex]\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }[/tex]
[tex]\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16[/tex]
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]
Step-by-step explanation:
[tex]\huge \sin 32\degree =\frac{29.2}{x}[/tex][tex]\huge\implies x =\frac{29.2}{\sin (32)\degree}[/tex]What are the coefficients in the polynomial 4x2 + 3x-3?
•4, -3, -3
•4, 3
•4, 3, 3
•-4, -3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the coefficients in the polynomial 4x²+3x-3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
Coefficient:- A number before a variable
Coefficients in this polynomial:-
4 (the number before x²) and 3 (the number before x)
So we conclude that the right option is:-
[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Write the equation of the line in slope-intercept form given
• Point (5,6)
• Point (3,-2)
Step-by-step explanation:
(-2-6)/(3-5)= -8/-2= 4
y+2= 4(x-3)
y+2= 4x-12
y=4x-14
Answer:
y = 4x - 14 or y = 2(x - 7)
Step-by-step explanation:
Finding the slope
m = -2 - 6 / 3 - 5m = -8/-2m = 4Finding the y-intercept
Take x-coordinate to be 0 and take one of the 2 points mentioned and put in the point-slope equation formy - 6 = 4(0 - 5)y - 6 = 4(-5)y = -14Making the equation using slope-intercept form
y = mx + cy = 4x - 14 or y = 2(x - 7)image below i will give brainliest
Answer:
10.6
Step-by-step explanation:
We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].
Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).
Which number is greatest?
CLEAR SUBMIT
290,095
209,509
290,905
209,950
Answer:
290,905
Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.
A certificate of deposit earns 0.75% annual interest every three months. The interest is compounded. What is the value of a $32,000 investment after 5 years?
A. $33,221.62
B. $37,157.89
C. $43,099.36
D. $57,795.56
Answer:
Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:
A=P(1+r/100)^nt
where:
A=amount
P=principle
r=rate
t=time
n=number of terms
thus:
from the infomation
$25000, r=0.75%, t=8 years, n=12/3=4
thus
A=25000(1+0.0075/100)^(4*8)
A=25000(1.0075)^32
A=$3175.28
Step-by-step explanation:
A pack of cookies contains 24 cookies. Now the advertisement says that the pack contains 25% more then before How many cookies are in the pack now?
Answer:
24 cookies increased by 25% is 30 cookies
step by step explination:
If you want to increase a number by a certain percentage, follow these steps:
1. Divide the number you wish to increase by 100 to find 1% of it.
2. Multiply 1% by your chosen percentage.
3. Add this number to your original number.
4. There you go, you have just added a percentage increase to a number!
I need help!! I don’t know which one it is.
Which point is closest to point A?
Point__
Answer:
Point D
Step-by-step explanation:
The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.
============================================================
Explanation:
Point A is at (-3,3) while point B is at (2,5)
Let's use the distance formula to find the distance between these points.
[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]
The distance from A to B is approximately 5.3852 units.
-------------
Point C is at (-2,-2)
Let's find the distance from A to C
[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]
The distance from A to C is approximately 5.099 units.
So far, point C is the closest to point A.
-------------
Point D is at (3,3)
We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.
D - A = 3 - (-3) = 3+3 = 6
The distance from A to D is 6 units.
Or you could count out the horizontal spaces between the points and you should count 6 spaces.
----------------
Summary:
Distance from A to B = 5.3852 (approximate)Distance from A to C = 5.099 (approximate)Distance from A to D = 6 (exact)The smallest distance value is the 5.099, which is from A to C.
Therefore, point C is closest to point A.
at cooley middle school there are 6 teachers for every 102 students. there are 825 students enrolled at the school. How many teachers are needed?
Answer:
49 teachers
Step-by-step explanation:
By proportion, the number of teachers needed is found as follows:
6/102 = x/825 where x is the required number of teachers.
102x = 6*825
x = (6*825)/102
= 48.5
Answer:
Se necesitan 49 profesares
Step-by-step explanation:
Answer has exponent please help
Answer:
the exponent is four
2x2x2x2 is 16
Find the area of the regular polygon
Answer:
a = 337.214 m2
Step-by-step explanation:
hope this helps
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
The s represents the y-intercept of the graph.
The 100t in the equation means the initial velocity of the rockey is 100
Step-by-step explanation:
According to the text and graph.
The s reprecets the yintexept of the graph
h(t)=5+100t-16t²
h(t)=100-32t
k(0)=100
in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100
read the image for the rest
The functions f(x)=−34x+214 and g(x)= (12)x+1 is shown in the graph.
What are the solutions to −34x+214= (12)x+1?
Select each correct answer.
−1
0
1
2
3
An exponential curve and a line graphed on a coordinate plane. The horizontal x-axis ranges from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 4 to 4 in increments of 1. The curve begins in the second quadrant. The curve decreases through begin ordered pair 0 comma 2 end ordered pair. The curve passes through begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair and exits the first quadrant. The line passes through begin ordered pair 0 comma 2.25 end ordered pair and begin ordered pair 3 comma 0 end ordered pair. The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair.
Answer:
x = -1 and x = +1
Step-by-step explanation:
The solution to f(x) = g(x) is found where the graphs intersect.
__
Your problem statement tells you the solution:
"The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."
We interpret this statement to mean the points of intersection are ...
(-1, 3) and (1, 1.5)
The x-values that make f(x) = g(x) are x=-1 and x=1.
a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the box
Answer:
1326 cm²
Step-by-step explanation:
1) Identify the equation of the surface area of a rectangular prism
[tex]A = 2(wl + wh + hl)[/tex]
2) Input the corresponding values [tex]l=15 cm[/tex]; [tex]w=22 cm[/tex]; and [tex]h=9 cm[/tex] into the equation, and solve for the area
[tex]A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}[/tex]
3) ∴ [tex]A=1326cm^2[/tex]
1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.
Answer:
c
Step-by-step explanation:
The multiplicative inverse of number 0 does not exist.
When taking the multiplicative inverse of 0, we get :
[tex]\frac{1}{0}[/tex]This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not existI am confused about this question
Answer:
X = 5
Step-by-step explanation:
When the line is going vertically down, the x-intercept is always the equation of the line.
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line passes through the y-axis)However, for vertical line equations, we write them a little differently:
[tex]x=d[/tex]
d = the x-intercept (the value of x when the line passes through the x-axis)We write equations for vertical lines like this because they might not always have a y-intercept.
Solving the QuestionWe're given:
Line L passes through the x-axis when x = 5This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:
[tex]x=d[/tex]
[tex]x=5[/tex]
Answer[tex]x=5[/tex]
Joe has a bag with 10 pink marbles and 20 silver marbles. If he draws a marble from the bag without looking, what is the probability that it will be a pink marble?
The probability is the ratio of the favorable outcome to the total number of outcomes. Then the probability of a pink marble is 33.33%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Joe has a bag with 10 pink marbles and 20 silver marbles.
If he draws a marble from the bag without looking.
Then the probability that it will be a pink marble.
The total number of the event will be
Total event = 20 + 10
Total event = 30
Favorable event = 10
Then the probability will be
P = 10 /30
P = 1/3
P = 0.3333
P = 33.33%
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Allison wants to ride her bicycle 60 miles this week. She has already ridden 12 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
8 miles a day
Step-by-step explanation:
First you have to subtract the amount of miles she had already gone.
60 - 12 = 48
Next you have to divide by the remaining amount of days (6 days).
48/6 = 8
For the function: f(x) = 18 − x − x2
Find f(9)
The height of an equilateral triangle is the square root of 12. Find the perimeter of the triangle.
7) YOU TRY: What is the product in simplest form? State any
restrictions on the variable.
x²-2x-3
x+11x+24
x-3
x +6x-16
The value of the product expression (x + 1)(x - 3) is x² - 2x - 3
How to determine the product?From the complete question, the product expression is given as:
(x + 1)(x - 3)
Expand
x(x - 3) + 1(x - 3)
Further, expand
x² - 3x + x - 3
Evaluate the like terms
x² - 2x - 3
Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3
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HELP!! Which kind of triangle is shown?
The fifth term of a geometric sequence is 781.25. Each term of the sequence is 1/5 of the value of the following term. Which recursive formula represents the situation?
Answer choices are in the image attached.
The recursive formula of the geometric sequence is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25
How to determine the recursive formula?The given parameters are:
Fifth term = 781.25
Term = 1/5 * following term
The second parameter above means that:
[tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex]
Multiply both sides by 5
[tex]a_{n+1} = 5a_n[/tex]
Remove 1 from the terms
[tex]a_{n} = 5a_{n-1}[/tex]
Using the formula [tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex], we have the first term to be:
[tex]a_1 = \frac 15 * a_2[/tex]
[tex]a_2 = \frac 15 * a_3[/tex]
[tex]a_3 = \frac 15 * a_4[/tex]
[tex]a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25[/tex]
So, we have:
[tex]a_3 = \frac 15 * 156.25 = 31.25[/tex]
[tex]a_2 = \frac 15 * 31.25 = 6.25[/tex]
[tex]a_1 = \frac 15 * 6.25 = 1.25[/tex]
Hence, the recursive formula is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25
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Answer:
A
Step-by-step explanation:
Two quantities are proportional if their ___ are equal.
A) numerator
B) denominators
C) cross products
Answer:
C) cross products
Step-by-step explanation:
Let's say you were solving [tex]\frac{1}{2}=\frac{x}{4}[/tex] for example. You would need to use cross products to simplify the problem. Here, the left side would be 1*4, and the right side would be 2*x, giving you [tex]4=2x[/tex], thus, leading to the solution [tex]x=2[/tex]. We can see clearly that the cross products would thus need to be equal to each other.
ICE CREAM For Exercises 5 and 6, use the
following information provided in the
table.
Toppings
Ice Cream (Scoop)
Sprinkles
Hot Fudge
Whipped Cream
Nuts
Cost
x dollars
$0.25
$0.75
$0.50
$0.35
5. Ten kids each order a scoop of ice
cream. Five of the kids add sprinkles,
3 add nuts, and 2 add nothing extra.
Write and simplify an expression that
represents the total cost.
So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.
What is cost?Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.
Therefore, the total cost for the 10 kids is:
5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75
Simplifying this expression, we get:
8x + 2.75 = 8(x + 0.34375)
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