Answer:
3×4 = 12!
TWO WAYS TO LOOK AT IT:
(A) 3 groups of 4!
(B) 4 groups of 3 apples!
What is the third quartile of the following data set?
20, 21, 24, 25, 28, 29, 35, 36, 37, 43, 44
Answer:
37
Step-by-step explanation:
Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.
Next, proceed with the calculation. The formula for finding position of quartile is:
\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)
Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:
\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)
So the position of third quartile is at 9th position which is 37.
Henceforth, the third quartile is 37.
Answer:
37.
Step-by-step explanation:
The data is in ascending order, which is what we need to get the answer.
As there are 11 numbers the 9th number is the upper(third) quartile.
The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.
It is 37.
What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
7D
AK
100%
B
>C
Angles are not drawn to scale
Answer:
Solution given:
x+100=180°{linear pair}
x=180-100
x=80
Answer:
x = 80
Step-by-step explanation:
<ABD and <DBC
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis
Answer:
Alternative Hypothesis:H₁: μ ≠ 0.41
Step-by-step explanation:
Step(i):-
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
Step(ii):-
Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.
Given data
Null hypothesis: H₀ : μ = 0.41
Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis
Alternative Hypothesis:H₁: μ ≠ 0.41
Samuel will arrive at the airport on the first plane after 10 am Airplanes arrive every 50 mins beginning at 6 am when will samuels plane arrive?
Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.
What is algebraic expression?An algebraic expression is a mathematical expression that uses coefficients, unknown variables, algebraic operations, and constants. However, it is not acceptable to use an equality symbol in an expression.
Mathematical expressions and sentences come in a wide variety. the relationships between equations, numerical expressions, and algebraic expressions.
The difference between 10 am and 6 am
is 4 hours, So the the time he arrives will be a multiple of 50 grater than 4 hours
50x > 4 × 60
50x > 240
x > 240/50
x > 4.8
x = 5 (as 5 is nearest single digit no. to 4.8)
50x = 50 × 5
= 250 minutes
250 mins = 4 hours and 10 mins
6 am + 4 hours and 10 mins
= 10 hour and 10 min or 10:10 am
Thus, Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.
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can you help me please
Hence the correct option is to translate down 2 unit
Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.
Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.
We have the parent function f(X)= x
and transformed function is g(x)= -3f(x+5)-2
the parent function f(x) is translated dawn 2 units and stretched by 5 .
Hence the correct option is to translate down 2 unit
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3.) Find the volume of a triangular prism with a length
of 5 units, a width of 6 units, and a height of 4 units.
Answer:
Volume V = 18.735 m3
Step-by-step explanation:
hope this helps
Does anybody know why these are wrong?
Answer:
They aren't wrong. The program is.
Step-by-step explanation:
The numbers you entered are the answers that matches the correct answers. It is a program error.
(q13) You invest in a fund and it is expected to generate $3,000 per year for the next 5 years. Find the present value of the investment if the interest rate is 4% per year compounded continuously.
The present value of the investment in the fund is $2,455.32.
In order to calculate the present value of the investment in a fund, which is expected to generate $3,000 per year for the next 5 years with an interest rate of 4% per year compounded continuously,
we can use the formula for the present value of an annuity:
PV = A / r,
where PV is the present value, A is the annuity payment, and r is the interest rate.
However, since the interest rate is compounded continuously, we need to use the formula PV = A / e^(rt),
where e is the constant 2.71828, t is the time period in years, and r is the interest rate.
In this case, A = $3,000, r = 4%, and t = 5 years.
Therefore, the present value of the investment is:
PV = $3,000 / e^(0.04 x 5)
= $3,000 / e^(0.2)
= $3,000 / 1.2214
= $2,455.32 (rounded to the nearest cent).
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A bag contains all the tiles wah the letters M, A, T, H, E, M, A, T, I, C.
A student picks a tile, replaces it, and then chooses another tile from
the bag.
What is the probability the student chooses an A first and an H
second?
Answer as a FRACTION in any form
6849 rounded to the nearest 100
i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
What is the answer help
Answer: 162°
Step-by-step explanation:
To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.
First, a percent divided by 100 becomes a decimal.
45% / 100 = 0.45
Next, "of" means multiplication in mathematics.
0.45 * 360 = 162
The central angle will be 162°.
Use percent to describe the change in carat weight.
a. from a 0.50-carat diamond ring to a 1.00-carat diamond ring
b. from a 1.00-carat diamond ring to a 2.00-carat diamond ring
c. from a 2.00-carat diamond ring to a 3.00-carat diamond ring
A. K=3/2 and y=15
B. K=1/4 and y=5
Answer:
A.K= 2/3 Y=15
SORRY I ONLY DID A
Could you help me to solve this
Answer:
No, sorry about that, buddy, I cannot.
In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measure of BC ? 090 O 110 O 100 O 80
Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
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If the length of a rectangle in terms of x is 9x² + 5x + 2 and its width is 6x + 1, what is the perimeter of the rectangle?
Answer:
18x^2 + 22x + 4 -----i dont know for sure if this is correct but i tried my best so dont complain pls if its not correct
Step-by-step explanation:
____________________
I I ----srry this helps me
I I
I I 9x^2 + 5x + 2
I I
_____________________
6x + 1
So you times both by 2 by doing first:
2(6x+1) = 12x + 2
and
2(9x^2 + 5x + 2) = 18x^2 + 10x + 2
Then you need to find the like terms. To find the like terms you need to find two similar terms and add or minus. For example:
2x + 4 - 3x + 2
The two similar terms are: [2x] + 4 [-3x] + 2
so minus them 2x - 3x = -1x and then
4 + 2 = 6 so the final equation is -
6 - 1x . you cant find the like terms of that because they arent the same terms. The same can be said with 2x and 2x^2. Theyre not the same terms.
So continuing with the initial question,
find the like terms of:
18x^2 [+ 10x] (+ 2) [+ 12x] (+ 2) ----- the brackets are just so you know which are like terms.
so the final equation is:
18x^2 + 22x + 4.
PLZ I NEED HELP UNDERSTANDING THIS SOMEONE PLZ HELP ME
Answer:
90
Step-by-step explanation:
180°-104°=76°( sum of angles A and B)
76°÷2=38°
x=38°
Bcuz it is an isosceles triangle ( a triangle with 2 equal sides). So, angle B and A are equal. thats why 76° must be divided by 2.
180°-104°=76°(angles on a straight line)
180°-76°=104° (sum of angle A and C)
104°÷2=52°
y=52°
it is also an isosceles triangle.
x+y=38+52=90°
If Jonny was 21 years old . He is 3 times as old as Becky determined Becky’s age
Answer:
Becky is 7 years old.
Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.
Answer:
Becky's 7 seven years old
Step-by-step explanation:
If 21 = 3x
x = 21/3
x = 7
Hope this helps :)
Pls brainliest...
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
Khan Academy please help
The translation by 5 units up and 5 units left
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The graph
From the figure, we can see that
Triangle A'B'C' is to the left of triangle ABC by 5 unitsTriangle A'B'C' is above the triangle ABC by 5 unitsThis means that
(x, y) = (x - 5, y + 5)
Hence, the transformation is (x, y) = (x - 5, y + 5)
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 48 ounces and a standard deviation of 3 ounces. Use the 68-95-99.7 Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 39 and 54 ounces? % c) What percentage of the widget weights lie above 45 ?
After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.
a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:
48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.
b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.
39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.
54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.
Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.
Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:
100% - 0.15% - 2.5% = 97.35%
c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:
100% - 99.7% = 0.3%.
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What is the slope of the line?
Answer:5/2
Step-by-step explanation: the line has to line up with the graph to find the slope of the line
HELP ASAP ILL FRIEND U
An association can be all of the following except what?
A . Non-linear
B . Linear
C. Undefined
D . Zero
Answer:
Undefined
Step-by-step explanation:
I did the quiz.
Answer:
I hope this helps.
Step-by-step explanation:
Which of the following is equivalent to 5/13³?
Answer:
D 13 \(\frac{3}{5}\)
Step-by-step explanation:
I’m ur math man
A box contains 4 bags of flour. The total mass of all 4 bags is 8kg. What is the mass of each bag in cg?
Heather and her friends want to buy tickets to the Harry Styles concert. Each ticket cost 85$ and parking cost 25$. Write an equation to represent if Heather spends 280$
answer: 85+85+85+25