For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile is 78, and the third quartile is 102.
Select all of the answers that create a true statement.
Approximately 25 students in the sample send...
Answers
Answer:
D. more than 102
E. between 90 and 102 messages
F. less than 78
Step-by-step explanation:
The median number of texts is 90, with approximately 25 students sending fewer than 78 texts (Q1) and 25 sending more than 102 texts (Q3) per day.
Explanation:For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile (Q1) is 78, and the third quartile (Q3) is 102. This implies that approximately 25 students in the sample send fewer than 78 text messages per day (since Q1 marks the 25th percentile) and approximately another 25 students send more than 102 text messages per day (since Q3 marks the 75th percentile). Hence, the interquartile range (IQR), which measures the middle 50% of the data, is the difference between the third and first quartiles, which is 102 - 78 = 24 messages.
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Related Questions
The diagram below shows a 20-foot ladder leaning against a wall. The bottom of the ladder is 10 feet from the
base of the wall.
20 ft.
Wall
2-
101. -
Based on the dimensions in the diagram, what is the value of x?
Answers
The value of ∠x is 30⁰. Option B is correct.
How to determine the ratio value of ∠x in the figure.
From the given figure,
The triangle formed by ladder is right angled triangle
∠x⁰ is opposite to the horizontal distance between the foot of the and the point where the ladder touches the ground.
The ladder form the hypotenuse of the triangle.
Therefore,
sinθ = opposite/hypotenuse
θ is the angle opposite to distance between the wall foot and the ladder.
θ = x⁰
opposite = 10 ft
hypotenuse = 20 ft
so,
Sin(x) = 10/20
sin(x) = 1/2
find the sine inverse of (0.5)
x = sin⁻¹(0.5)
x = 30⁰
The value of ∠x is 30⁰. Option B is correct.
A cylinder has a height of 19 feet and a radius of 6 feet. What is the volume. Use 3.14 as pi and round the answer to the nearest hundredth
Answers
ANSWER:V≈2148.85.I hope this helps!!
what condition must be true for 2 nonintersecting lines?
-they have different slopes
-they have the same slope
-they have different y-intercepts
-they have the same y-intercepts
Answers
Answer:
they have the same slope.
What does it mean for an equation to be a radical equation?
Answers
Answer:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
Step-by-step explanation:
A bag contains 140 marbles, some white some blue. The ratio of white marbles to blue ones is 5:2. How many blue marbles are there?
Answers
Answer:
40
Step-by-step explanation:
5 + 2 = 7
140 div by 7 = 20
2 times 20 = 40
The product of 2 and the sqrt of 3 and 3 and the sqrt of 12 in simplified form is _______? (your supposed to answer the stupid question yourself. your meant to simplify 2 and the sqrt of 3 and 3 and the sqrt of 12 to get your answer so don't report it for being incomplete)
Answers
Answer:
[tex](2 \sqrt{3} )(3 \sqrt{12}) = 6 \sqrt{36} = 6(6) = 36[/tex]
Select the correct answer.
Which relation does not represent a function?
A. {(3, 0), (0, 3)}
B. {(6, -2), (5, -2)}
C. {(3, 4), (3, 5)}
D. {(5, 5), (-5, -5)}
E. {(1, -2), (-2, 1)}
Answers
Relation C: {(3,4), (3,5)} does not represent a function because it has the same first component with different outputs.
Explanation:In Mathematics, a relation is defined as a set of ordered pairs. A relation is considered as a function if for each input (x value), there is exactly one output (y value). In other words, no two distinct ordered pairs in the function have the same first component. Looking at the options given:
A. {(3, 0), (0, 3)}B. {(6, -2), (5, -2)}C. {(3, 4), (3, 5)}D. {(5, 5), (-5, -5)}E. {(1, -2), (-2, 1)}The relation C. {(3,4), (3,5)} does not represent a function because there are two distinct ordered pairs with the same first component (or x-value) which is 3, but with two different y-values which are 4 and 5. Therefore, this relation violates the definition of a function.
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Final answer:
The relation that does not represent a function is Option C: {(3, 4), (3, 5)} because the number 3 in the domain is paired with two different values in the range, contradicting the definition of a function.
Explanation:
The relation that does not represent a function is Option C: {(3, 4), (3, 5)}. This is because a function is defined as a set of ordered pairs where each element of the domain (the first value in each pair) must correspond to exactly one element in the range (the second value in each pair). Option C depicts the number 3 in the domain being paired with both 4 and 5 in the range, which violates this rule. Therefore, Option C does not satisfy the definition of a function.
Option A, B, D, and E each show that every element of the domain is matched with only one unique value in the range, indicating they are all functions.
A circle with a radius of 8 centimeters. Use the diagram to complete each statement. Use 3.14 for π, when necessary. The radius of the circle is cm. The circumference of the circle is about cm. The area of the circle is about cm2.
Answers
Answer: 200.96 cm area
Step-by-step explanation:
Area=3.14(r^2)
Area=3.14(64)
Area=200.96
Answer:
8
50.24
200.96
Step-by-step explanation:
Write this in word form.
a ≤ 20 and a ≥ 25
Answers
Answer:
ok so for a ≤ 20 it is A is less than or equal to 20
a ≥ 25 is A is greater than or equal to 25
Step-by-step explanation:
whenever you have a symbol like ≥, where it has a line under it, it means it could be equal to. And when the symbol is like a<20 (where < is the alligator it eats the bigger number so 20 is larger) And this means a is less than but since there is ≥ then its Equal to as well. :) sorry if this is confusing i will be willing to further explain if needed.
The diameter of a circle measures 17 mm. What is the measure of its radius ?
Answers
Answer:
the radius is 8.5 mm
Louise sold 340 soft pretzels. If she sold them in groups of 17 soft pretzels, how many groups did she sell? A. 22 B. 20 C. 19 D. 21
Answers
Answer:
she sold 20 pretzels 340/17 =20
Step-by-step explanation:
1. Find the next three terms of the arithmetic sequence.
12, 9, 6, 3, ___ ,___ ,___
2. Find the next three terms of the arithmetic sequence.
-2, 2, 6, 10, ___, ___, ___
3. Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)
15, 13, 11, 9
Answers
Answer: of the first one 0 , -3, -6. Second 14, 18, 22
Step-by-step explanation:
plzzz help I need help with this question will give you brainliest!!!!!
Answers
Zero softballs with a diameter of 3.8 inches will fit into the container as length of the container is less the diameter of the softball.
Zero softballs can fit in length and zero softballs will fit in width.
Why-
Length of the square base in rectangular pyramid = s
Breadth of the square base in rectangular pyramid = s
Height of the square base in rectangular pyramid, l = 11 inches
Volume of the square base in rectangular pyramid, V=
Volume of the cuboid = l × b × w
V= s × s × l
s = 3 inches
Softballs with a diameter of 3.8 inches.
Plz plzplzplzplz help me plz
Answers
Answer:
ok
Step-by-step explanation:
Which expressions are equivalent to -90 – 60w?
Answers
Answer:
-30 (2w + 3) is the only one I can figure out.
I hope this helped tho!! :]
Find the sum. Enter your answer in lowest terms in the box below as a
fraction, using the slash mark ( 7 ) for the fraction bar.
7/20
3/9
Answer here
Answers
Answer:
41/60
Step-by-step explanation:
7
20
+
3
9
Cancel the common factor of
3
and
9
.
Tap for more steps...
7
20
+
1
3
To write
7
20
as a fraction with a common denominator, multiply by
3
3
.
7
20
⋅
3
3
+
1
3
To write
1
3
as a fraction with a common denominator, multiply by
20
20
.
7
20
⋅
3
3
+
1
3
⋅
20
20
Write each expression with a common denominator of
60
, by multiplying each by an appropriate factor of
1
.
Tap for more steps...
7
⋅
3
60
+
20
60
Combine the numerators over the common denominator.
7
⋅
3
+
20
60
Simplify the numerator.
Tap for more steps...
41
60
The result can be shown in multiple forms.
Exact Form:
41
60
Decimal Form:
0.68
¯
3
The steps in solving 5b-6=24 are
A. Add 6 to both sides and divide both sides by 5
B. Add 6 to both sides and multiply both sides by 5
C. Subtract 6 from both sides then multiply both sides by 5
D. Subtract 6 from both sides then divide both sides by 5
I need the answer
Answers
Answer:
the answer is A.
Step-by-step explanation:
5b-6=24
add 6 to both sides
5b=30
divide 5 to both sides
b=6
hope this helps
(mark as brainliest)
The steps in solving 5b-6=24 are adding 6 to both sides and dividing both sides by 5, the value of b is 6.
What is the linear equation?The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable.
The given equation is;
5b-6=24
The steps are used to solve the problem given below.
Add 6 to both sides
5b-6=24
5b - 6+6 = 24 +6
5b =30
Divide both sides by 5
5b/5 = 30/5
b= 6
Hence, the steps in solving 5b-6=24 are adding 6 to both sides and dividing both sides by 5, the value of b is 6.
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2x^2-19x+9=0 quadratic formula or zero product property. Which ever is easier?
Answers
Answer:
9
Step-by-step explanation:
x=9
20 BRAINLY POINTS!!!!!!!!!!!!!!!
Answers
Answer:
is A , D , C
maybe b not sure
Last night the temperature in New York City went down t 4 degrees F. In Antarctica, the temperature went down to -20 degrees F. What is the difference between the two temperatures?
Answers
(4)-(-20)=24
|24|=24
Answer:
The answer is -16
Step-by-step explanation:
In isosceles △ABC with AC = AB, points D ∈ AB and E ∈ AC so that DB = EC. Point P is the intersection point of DC and EB, m∠ADC = 107°, m∠ABE = 45°. Find m∠BAP.
Please show work.
Answers
9514 1404 393
Answer:
14°
Step-by-step explanation:
∠ADP is an external angle to ΔDBP, so ...
∠ADP = ∠DBP + ∠DPB
107° = 45° + ∠DPB
∠DPB = 107° -45° = 62°
∠DPB is an external angle to isosceles triangle PBC, so ...
∠DPB = 2×∠PBC
62° = 2×∠PBC
∠PBC = 62°/2 = 31°
Of course, the angle sum theorem applies at vertex B, so ...
∠ABC = ∠ABP +∠PBC
∠ABC = 45° +31° = 76°
AP is the angle bisector of angle A, so, if extended to BC would be perpendicular to BC. Then ∠BAP is complementary to ∠ABC:
∠BAP = 90° -∠ABC
∠BAP = 90° -76°
∠BAP = 14°
Final answer:
m∠BAP = 124°
Explanation:
Given that △ABC is an isosceles triangle with AC = AB and DB = EC, we can conclude that △ADC and △AEB are congruent triangles by the Side-Angle-Side (SAS) congruence theorem. Therefore, m∠ADC = m∠AEB. Since m∠ADC = 107° and m∠AEB = 45°, we can write:
m∠ADC = m∠AEB
107° = 45° + m∠ABD
m∠ABD = 107° - 45°
m∠ABD = 62°
Since △ABD is isosceles with AB = AD, we have m∠ABD = m∠ADB. Therefore, m∠ADB = 62°. Since m∠BAP is an exterior angle of △ABD, we can apply the Exterior Angle Theorem to find:
m∠BAP = m∠ADB + m∠ABD
m∠BAP = 62° + 62°
m∠BAP = 124°
The most popular pizza at Pizza Parlor is a large pizza with a 12- inch radius. which of the following best represents the circumference of this pizza?
Answers
Answer:
75.3982236862
Step-by-step explanation:
Answer:
I believe the answer is 75.36
PLEASE ANSWER QUICKLY!
Frank is 6 inches taller than his young brother, Pete. Pete's height is p . Write an algebraic expression to represent Frank's height.
Answers
Answer:
P + 6
Step-by-step explanation:
Please help! i couldnt copy and paste it into here so i decided to just screenshot it :)
Answers
How;
Congruent angles are angles that have equal degree measure! Hope this helps!
The first side of a triangle measures 5 in. less than the second side, the third side is 3 in, more than the first side, and the
perimeter is 17 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
A. s - 5
B. s-2
C. s+3
Answers
Final answer:
The third side of the triangle is determined by the expression 's - 2 inches', where s represents the length of the second side of the triangle.
Explanation:
To find the length of the third side of the triangle, we can first define the lengths of the other two sides in terms of s, the length of the second side. The first side is s - 5 inches, according to the problem statement. Since the third side is 3 inches more than the first side, its length would be (s - 5) + 3, which simplifies to s - 2 inches.
Now, knowing that the perimeter of the triangle is 17 inches, we can set up an equation to include all three sides: s + (s - 5) + (s - 2) = 17 inches. Solving this equation for s will give us the length of the second side and consequently the length of the third side using s - 2 inches.
Based on the data set shown, which of the following is a true statement?
-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
mean = mode
mean < median
mode < median
Answers
Answer:
mean = mode
Step-by-step explanation:
To make this easier, let's find the mean, median, and mode.
Mean: Sum of a set of numbers divided by number of terms
Median: Middle number of data when data is in numerical order
Mode: Number that occurs most often in data
To find the mean, add all the values together. -1 - 1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11. Now, divide by the number of terms, which is 11. 11/11 = 1. The mean is 1.
To find the median, look at the number in the middle of the data. -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. The median is 1.
To find the mode, look at the number that occurs most often. There are 4 1's, so the mode is 1.
Since all numbers are equal, the only possible answer is the first option.
The mean, median, and mode are all equal; thus, a.) mean = mode is true.
Sum of all values: (-1) + (-1) + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11
Number of values: 11
Mean = Total sum / Number of values = 11 / 11 = 1
Arrange the values in ascending order: -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
The middle value (6th value) is 1
Median = 1
The value that appears most frequently is 1 (occurs 4 times)
Mode = 1
Comparing these values:
Mean = 1
Median = 1
Mode = 1
Which of the following theorems verifies that DEF - XZY?
Answers
Answer:
AA
Step-by-step explanation:
The question is about the congruency of two triangles DEF and XZY. A Congruence Theorem (SSS, SAS, ASA, or AAS) would demonstrate their congruence, but without specific measurements, we can't identify which theorem applies.
Explanation:The subject area of this question is Geometry, more specifically, the concepts concerning triangles. The given notation, DEF - XZY, suggests that the student wants to establish the congruency between the two triangles DEF and XZY.
Based on the information provided, the student is likely referring to a Congruence Theorem, which is one of the primary methods to determine if two given triangles are congruent. The main Congruence Theorems are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).
Without any additional specification, it's impossible to definitively say which theorem supports DEF - XZY. The student would need to provide specific measurements related to the triangles DEF and XZY, such as the lengths of the sides or the measures of the angles, to determine which Congruence Theorem applies.
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3(c+5) = 12
so what does c= ?
Answers
Answer: 4
Step-by-step explanation:
12 - 5 = 7,
7 - 3 = 4.
The answer to this is 4.
Which rays form the sides of WXY?
ロロロロロロ
D. XW
E. Ws
Answers
Answer:
XY and XW
Step-by-step explanation:
You have $90 in your bank account. Each week you plan to deposit $8 from your allowance and $15 from your paycheck. The equation bequals90plus(15plus8)w gives the amount b in your account after w weeks. How many weeks from now will you have $200 in your bank account?