Can the sides of a triangle have lengths 3, 4, and 11
Answer:
No
Step-by-step explanation:
The sum of any two sides of a triangle must be greater than the remaining side.
Here, 3+4=7 which is NOT greater than 11
Answer:
No there is no chance of the triangle having length 3,4 and 11
PLEASE HELP!! What is the surface area of the cone?
THINK SMARTER
Julie wants to make a drawing that is the size of
the original drawing. Sahil makes a drawing that is the size of the
original. A tree in the original drawing is 12 inches tall. What will be the
difference between the height of the tree in Julie's and Sahil's drawings?
Please help
Answer:
1 in
Step-by-step explanation:
We are given that
Height of tree in original drawing=12 in
Julie's drawing tree height=1/4 of original size
Sahil's drawing tree height=1/3 of original size
We have to find the difference between the height of the tree in Julie's and Sahil's drawings.
Height of tree in Julie's drawing=\(\frac{1}{4}\times 12\)in
Height of tree in Julie's drawing=3 in
Height of tree in Sahil's drawing=\(\frac{1}{3}\times 12\)in
Height of tree in Sahil's drawing=4 in
Difference between the height of the tree in Julie's and Sahil's drawings=4 in-3in
Difference between the height of the tree in Julie's and Sahil's drawings=1 in
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
You and your friend start a typing class at the same time. You measure your speed weekly in words per minute (WPM) on a class chart. If the trend continues, after how many weeks can you expect to type as quickly as your friend? What will that WPM be?
A. 6 weeks;28 WPM
B. 6 weeks; 31 WPM
C. 7 weeks;31 WPM
D. 7weeks;34 WPM
Answer:
The correct answer is 7 weeks 34 WPM
Step-by-step explanation:
The number of weeks and words typed will be D. 7weeks;34 WPM
Based on the information given, the formula to calculate my words per minutes = 13 + 3n
The formula to calculate my friend's words per minutes = 20 + 2n
Therefore, we'll equate both equations together and this will be:
13 + 3n = 20 + 2n
Collect like terms
3n - 2n = 20 - 13
n = 7.
Therefore, the WPM will be:
= 13 + 3n
= 13 + 3(7)
= 13 + 21
= 34
The number of weeks and words typed will be 7weeks;34 WPM
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Which matrix represents the system of equations shown below? 3x - 4y = -8 4x+3y = -19
Answer:
C
Step-by-step explanation:
if you see the questions it shows you the letter of the number as you can see there are 2 y in an algebra format C is the only one with the letter of the algebra
have a great day ahead :)
Use this pattern when a binomial
can be written as the square of
one number minus the square of
another number.
4x² - 49 = (2x-7)(2x + 7)
a² + 2ab + b² = (a + b)²
The square of a binomial, when the binomials are subtracted, is defined as follows:
(a - b)² = a² - 2ab + b².
How to obtain the square of a binomial?When the two binomials are added, the square is given as follows:
(a + b)².
Expanding the square, we have that:
(a + b)² = (a + b) x (a + b).
(a + b)² = a² + ab + ab + b².
(a + b)² = a² + 2ab + b².
Which is the result presented in this problem.
Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:
(a - b)² = (a - b) x (a - b).
(a - b)² = a² - ab - ab + b².
(a - b)² = a² - 2ab + b².
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Which expressions are equivalent to 1.5?
Answer:
B and C
Step-by-step explanation:
We can just solve each to find which expressions are equal to 1.5.
A) 0.15 × 100 = 15
B) 15.0 ÷ 10 = 1.5
C) 0.15 × 10 = 1.5
D) 0.15 ÷ 10 = 0.015
E) 1.5 ÷ 100 = 0.015
From our results, we see that B and C are the only answers that equal 1.5.
Work out m and c for the line: y=x-8
m = C =
Step-by-step explanation:
Y=mx+c
From y=x-8, we have
m= 1 and
c= - 8✅
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 QUESTION 1 [24] Gavin Pillay is employed at Maritzburg Engineering, a Steel manufacturing company in Pietermaritzburg. Below is a copy of his Payslip. 1. 3201 Company Maritzburg Engineering cc 21 Halsted Road Pietermaritzburg Employment No 105 Id Number Income Basic Salary Overtime M Gross Salary Maritzburg Engineering cc Employee Name Gavin Pillay Period 31/05/2023 Sex Male 790128514088 R8700 R1200 A Status Married Deductions PAYE UIF Total Deductions Net Pay 1200 87 B C Name the Employee? What does UIF stand for? Show by calculation that the UIF paid by Gavin is calculated correctly Which month is this Payslip for? Calculate the missing values A to C How old is Gavin this year? Give the address of Gavin's work place. Gavin would like to contribute towards a Pension fund (7,5% of his Basic Salary). H would this affect his net salary?
If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.
1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.
Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.
Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.
31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6
Total deductions of Gavin includes PAYE, UIF and pension fund contribution.
Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7
Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?
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solve it
\(4 \frac{1}{3} \times (3 \frac{1}{3} \times 3 \frac{1}{2} ) \ {}^{7} \div 9 \frac{3}{4} \)
solve it fast
Answer:
\(\frac{257357187500}{19683}\)
Step-by-step explanation:
We can convert these mixed fractions to ordinary fractions.
\(4(1/3)=\frac{(4*3)+1}{3}=\frac{13}{3}\)
\(3(1/3)=\frac{10}{3}\)
\(3(1/2)=\frac{7}{2}\)
\(9(3/4)=\frac{39}{4}\)
Then we have:
\(\frac{13}{3}*(\frac{10}{3}*\frac{7}{2})^{7}*\frac{4}{39}\)
\(\frac{257357187500}{19683}\)
I hope it helps you!
If s(x) = 2x² and f(x) = 3x, which value is equivalent to (s-f)(-7)?
O-439
O-141
O 153
O 443
The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
We have to given that,
Functions are defined as,
⇒ s (x) = 2x²
⇒ f (x) = 3x
Now, We can find the value of (s - f) (- 7) is,
⇒ (s - f) (- 7)
⇒ s (- 7) - f (- 7)
⇒ 2 (- 7)² - (3 × - 7)
⇒ 2×49 + 21
⇒ 98 + 21
⇒ 119
Therefore, The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
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-1/2g + 13 = 3g
Solve the equation
Answer:
g = 26/7
Step-by-step explanation:
-1/2g + 13 = 3g
13 = 3.5g
13/3.5 = g
26/7 = g
Exercise
find the truth set of the
1.5(3x-5)-2(x-7)=11
Adam had $27 to spend on 3 beakers for his science class. After buying them, Adam had $6 left. How much did each of the beakers cost?
Answer: $7
Step-by-step explanation: So $27 -$6= $21.Then you Divide by 3 and you will get $7 for each beaker.
Answer:
$7
Step-by-step explanation:
In order to find the total cost of the 3 beakers, take away $6 from the total amount Adam has.
$27 - $6 = $21
$21 is the amount needed for 3 beakers, hence to find 1 beaker, you just have to divide $21 by 3.
$21 ÷ 3 = $7
Therefore, each beaker costs $7.
Suppose Piper eats out twice a week 15% of the time, she eats out once a week 35% of the time, and she does not eat out any time during the week 50% of the time.What is the expected value for the number of times Piper eats out during the week? Round your answer to the nearest hundredth if needed.
Solution
We are given
Probability of eating out twice in a week = 15% = 0.15
Probability of eating out once in a week = 35% = 0.35
Probability of not eating out in a week = 50% = 0.50
Let X be a random variable of the number of times Piper eats out in a week
So we have the table
Note: The Formula For finding the Expected value E(X) is given by
\(E(X)=\sum ^{}_{}xp(x)\)Substituting we get
\(\begin{gathered} E(X)=0(0.50)+1(0.35)+2(0.15) \\ E(X)=0+0.35+0.30 \\ E(X)=0.65 \end{gathered}\)Therefore, the expected value is
\(E(X)=0.65\)Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
10 Kofi scored 45% in the first paper of his mathematics examination and scored x% in the second paper (where x is a whole number). He was given a grade C for the subject, which meant that the average of his marks on the two papers was greater than 48% but less than 52%. Find the possible values of x. [WAEC]
The possible values of x are 51% < x < 59%.
When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.
Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.
Let K represent Kofi
1st paper = 45/100
2nd paper = x / 100
Mean score = ( 45 + x ) % / 2
The possible range of x = 48% < (45+X)/2 < 52%
Cross multiplying
96% < 45 + x < 104%
Subtract 45 from both sides
Range = 51% < x < 59%
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will give brainliest Evaluate 15/k when k is 3
Answer:
Hey there!
15/k, when k=3
15/3=5
Answer:
5
Step-by-step explanation:
its a simple as 15/3 = 5
have fun
Question
Joe has 20 hot dogs. He is purchasing more hot dogs. He can purchase up to 8 boxes of hot dogs. Each box contains 48 hot dogs. Joe cannot purchase partial boxes. The function that models the number of hot dogs Joe has is f(b)=48b+20, where b is the number of boxes of hot dogs he purchases.
What is the practical domain of the function?
A) {68, 116, 164, 212, 260, 308, 356, 404}
B) all integers from 1 to 8 inclusive
C) all real numbers from 1 to 8 inclusive
D) all real numbers
Answer:
The practical domain of the function is the set of integers from 0 to 8, inclusive, which is option B.
Step-by-step explanation:
The practical domain of the function is limited by the given constraints: Joe can purchase up to 8 boxes of hot dogs, and he cannot purchase partial boxes. Therefore, the number of boxes he can purchase is a whole number between 0 and 8, inclusive.
Substituting the values from 0 to 8 into the function, we get:
f(0) = 48(0) + 20 = 20
f(1) = 48(1) + 20 = 68
f(2) = 48(2) + 20 = 116
f(3) = 48(3) + 20 = 164
f(4) = 48(4) + 20 = 212
f(5) = 48(5) + 20 = 260
f(6) = 48(6) + 20 = 308
f(7) = 48(7) + 20 = 356
f(8) = 48(8) + 20 = 404
Therefore, the practical domain of the function is the set of integers from 0 to 8, inclusive, which is option B.
The Pythagorean Theorem states that for any given right triangle, a2 + b2 = c2. Using the Pythagorean Theorem, what should be the relationship between the areas of the three squares?
Answer:
The relationship between the areas of the three squares is that square A plus square B equals the area of square C.
The sum of the square of a and b is equal to the area of square of c
Data;
abcPythagorean TheoremThis theorem is used to calculated a missing side from a right angle triangle when we have the value of at least two sides.
Given that
\(c^2 = a^2 + b^2\)
This indicates a relationship such that the sum of square of two sides is equal to the area of the square of one side. I.e the area of the square of c is equal to the sum of the square of both a and b.
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Find the 87th term in the following
arithmetic sequence:
-2, 6, 14, 22, ...
Hint: Write a formula to help you.
1st term + common difference (desired term - 1)
Answer:
first term (a)=-2
common difference (d)=8
Now,
87th term=a+(n-1)d
=-2+(87-1)×8
=-2+86×8
=-2+688
=686
nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?
Using concepts of circles, it is found that the angle measure of each slice is of 72º.
--------------------------------------------
The cookies have circular formats.A complete circle, which is the format of a cookie, has an angular measure of 360º.If it is divided into a number n of equal slices, the angles will be 360 divided by n.--------------------------------------------
5 equal slices, thus:
\(\frac{360}{5} = 72\)
The angle measure of each slice is of 72º.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.
From the given dot plot.
The number of minutes Charles spent on homework.
15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.
Here, lower quartile = 20
Upper quartile = 50
Median = 30
Range = 60-15
= 45
The number of minutes Jermod spent on homework.
15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.
Here, lower quartile = 20
Upper quartile = 50
Median = 45
Range = 55-15
= 40
Therefore, options C and D are the correct answer.
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WILL GIVE BRAINLIEST
Divide by using synthetic division
(x^3 - 3x + 5) ÷ ( x + 2 )
Answer:
x^2-2x+1+3/x+2
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
How do i work out the probability of rolling two sixes
Answer: p = 1/25
Step-by-step explanation:
Ok, you know that the probability of rolling a six is p = 1/5
now, if you want to have two sixes, then you have two events with a probability of 1/5.
And as you know the joint probability for two events is equal to the product of the probabilities, then the probability of rolling two sixes is:
p = (1/5)*(1/5) = 1/25.
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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Which of the following illustrates the truth value of the following conditional?
p: 7 + 1 = 0
q: 2 + 2 = 5
F F → T
T T → T
F T → F
T F → T
The truth table for implication of the equations is F F ⇒ T
What is a truth table?A truth table is a mathematical logic table that shows the truth values of different logic statements combined by a given logic rule.
Analysis:
P: 7 +1 is not equal to 0 making P to be false(F)
q: 2+2 is not equal to 5 making q to be false(F)
so for conditional or implication, F F⇒ T
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6 cm
18 cm
35 cm
26 cm
Calculate the volume of the solid
Answer:
3456
Step-by-step explanation:
times 36cm*16cm*6cm