Step-by-step explanation:
The prime 43 appears in the sixth twin-prime pair 41, 43. As a sum of four or fewer squares: 43 = 32 + 32 + 52 = 12 + 12 + 42 + 52 = 32 + 32 + 32 + 42. ... As a difference of two squares: 43 = 222 − 212.
Blood pressure values are often reported to the nearest 5 mmhg (100, 105, 110, etc.). the actual blood pressure values for nine randomly selected individuals are given below.
108.6 117.4 128.4 120.0 103.7 112.0 98.3 121.5 123.2
Required:
a. What is the median of the reported blood pressure values?
b. Suppose the blood pressure of the second individual is 117.7 rather than 117.4 (a small change in a single value). What is the new median of the reported values?
c. What does this say about the sensitivity of the median to rounding or grouping in the data?
Answer:
Step-by-step explanation:
Arranging the data in the ascending order:
108.6 98.3 103.7 112 117.4 120 121.5 123.2 128.4
The median is the middle value of the data set:
a)
Hence,
median = 117.4
b)
When the value of blood pressure is 117.7 instead of 117.4 then the median will be:
Median = 117.7
c)
This indicates that the median of a well sorted set of data is depends upon the middle value of the data set.
Write the equation of the line in point-slope form given the information:
Slope = -1/5
Y intercept = -3
point slope form:
y + 3= -1/5 x (x+0)
Step-by-step explanation:
-use the point slope form equation: y - y1 = m (x - x1).
-using the given information we know that m = -1/5 and that the y intercept is (0,-3).
- y and x will be kept as a variable.
-plug in the y1 and x1 from the y intercept:
y + 3 = m(x + 0)
-once you've plugged in the y intercept then plug in the slope which gives you the answer:
y + 3= -1/5 x (x+0)
4. Five cards are randomly chosen from a deck of 52 (13 denominations with 4 suits). a. How many ways are there to receive 5 cards from a deck of 52
Answer:
There are 2,598,960 ways to receive 5 cards from a deck of 52.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
a. How many ways are there to receive 5 cards from a deck of 52?
[tex]C_{52,5} = \frac{52!}{5!(47)!} = 2598960[/tex]
There are 2,598,960 ways to receive 5 cards from a deck of 52.
Solve the inequality (help please)
Answer:
v<1 23/25
Step-by-step explanation:
The inequality simplifies to 48/25, which is equivalent to 1 23/25.
Classify the type of angle.
A: Acute
B: Right
C: Straight
D: Obtuse
Answer:
obtuse angle that's the answer
is this correct??????
Answer:
yes, the Temperature is 5 F
Step-by-step explanation:
-3 + 8 = 5
A rocket is fired upward with an initial velocity v of 80 meters per second. The quadratic function S(t)=−5t2+80t can be used to find the height s of the rocket, in meters, at any time t in seconds. Find the height of the rocket 8 seconds after it takes off. During the course of its flight, after how many seconds will the rocket be at a height of 270 meters?
9514 1404 393
Answer:
a) 320 m
b) 4.838 seconds, or 11.162 seconds
Step-by-step explanation:
a) S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height 8 seconds after takeoff will be 320 meters.
__
b) S(t) = 270
270 = -5t^2 +80t
-54 = t^2 -16t . . . . . . divide by -5
10 = t^2 -16t +64 . . . . add 64
±√10 = t -8 . . . . . . . . . . take the square root
t = 8 ±√10 ≈ {4.838, 11.162}
The rocket will be at a height of 270 meters at 4.838 and 11.162 seconds after takeoff.
PLEASE PLEASE HELP ASAPPPP IM BEING TIMEDDD
6x2y − 3xy − 24xy2 + 12y2
Rewrite the expression completely factored. Show the steps of your work.
Answer:
3y(2x-1)(x-4y)
Step-by-step explanation:
Apply exponent rule:
6x^2y-3xy-24xyy+12yy
Rewrite 12 as 4*3
Rewrite -24 as 8*3
Rewrite 6 as 2*3
2*3x^2y-3xy+8*3xyy+4*3yy
Factor out common term 3y:
3y(2x^2-x-8xy+4y)
Factor 2x^2-x-8xy+4y:
3y(2x-1)(x-4y)
Your Answer Is 3y(2x-1)(x-4y)
find all the missing measurement
Which equation is equivalent to
1
3
= 27X+22
O 3*-3-3x+2
O 3* = 33x+6
O 3-* - 33x+2
O 3-* = 33x+6
Answer:
[tex]3^{-x} = 3^{3x + 6}[/tex]
Step-by-step explanation:
Required
Which is equivalent to [tex](\frac{1}{3})^x = 27^{x + 2}[/tex]
Express base as 3
[tex](3^{-1})^x = 3^3^{x + 2}[/tex]
Open brackets
[tex]3^{-x} = 3^{3x + 6}[/tex]
a recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. assuming these two events are independent, what is the probability that a randomly selected college student has neither a dog nor HBO
Answer: [tex]0.939\ or\ 93.9\%[/tex]
Step-by-step explanation:
Given
Survey shows that 16% of college students have dogs and 38% have HBO subscription
Probability that a random person have both is
[tex]\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608[/tex]
The probability that the random person has neither of the two is
[tex]\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939[/tex]
What is the range for the following set of numbers?57, -5, 11, 39, 56, 82, -2, 11, 64, 18, 37, 15, 68
so
82-(-2)
=84
then ur answer is 84
what is the completely factored form of this expression?
y^2-12y+32
a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)
Answer:
[tex]y^2-12y+32[/tex]
[tex]=(x - 4)(x - 8)[/tex]
------------------------
Hope it helps...
Have a great day!!
How would I find the area of this?
Answer:
Read below v
Step-by-step explanation:
First you would find the area of the semi circle by turning it into a circle and then dividing your answer by two. Then you would find the area of the triangles.
Answer:
26.13 [tex]ft^{2}[/tex]
Step-by-step explanation:
Half circle :
Area of a circle = [tex]\pi r^{2}[/tex]
A = 3.14 ([tex]3^{2}[/tex]) = 9(3.14) = 28.26
That's a full circle. We want half. Divide by 2 = 14.13
Triangles. Both are same.
A = [tex]\frac{(b)(h)}{2}[/tex] = [tex]\frac{(3)(4)}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6
There are two of them, so area of triangles is 12
12 + 14.13 = 26.13
If someone knows the answer that will be greatly appreciated :)
[tex]a. \: 8 = 2 + 2a \: and \: 3 = a[/tex]
Step-by-step explanation:
Set up equation as we know both weights are equal.Subtract two from both sides and divide by 2 to isolate the variable a.3 = aIn the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line g of x is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.
The graph represents which system of inequalities?
y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3x − 2
y ≥ 2x + 2
None of the above
9514 1404 393
Answer:
y < −2x + 6y ≤ x + 2Step-by-step explanation:
The line with the y-intercept of 2 is solid, so the corresponding inequality will be of the form ...
y ≤ mx +2
The line with the y-intercept of 6 is dashed, so the corresponding inequality will be of the form ...
y < mx +6
The answer choice showing inequalities with these forms is ...
y < −2x + 6y ≤ x + 2Answer:
None of the above I think
Step-by-step explanation:
I need help:/ I’m in college
Step-by-step explanation:
Amount of acid = 14.9% of 331 mL solution
= 0.149×(331 mL)
= 49.3 mL acid
Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the solution with z arbitrary
Write each equation in standard form:
3x + y + 3z = 11
x + 2y + z = 7
-x + y + z = 0
In matrix form, this is
[tex]\begin{bmatrix}3&1&3\\1&2&1\\-1&1&1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}11\\7\\0\end{bmatrix}[/tex]
and in augmented matrix form,
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\1&2&1&7\\-1&1&1&0\end{bmatrix}\right][/tex]
Now for the row operations:
• Add row 1 to -3 (row 2), and add row 1 to 3 (row 3):
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&-5&0&-10\\0&4&6&11\end{bmatrix}\right][/tex]
• Multiply row 2 by -1/5:
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&4&6&11\end{bmatrix}\right][/tex]
• Add -4 (row 2) to row 3:
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&6&3\end{bmatrix}\right][/tex]
• Multiply row 3 by 1/6:
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]
• Add -1 (row 2) and -3 (row 3) to row 1:
[tex]\left[\begin{array}{ccc|c}3&0&0&\frac{15}2\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]
• Mutiply row 1 by 1/3:
[tex]\left[\begin{array}{ccc|c}1&0&0&\frac52\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]
Then the solution to the system is (x, y, z) = (5/2, 2, 1/2).
126 high school students were asked if they speak Spanish, English or Cantonese. Their answers are summarized by the Venn diagram shown
How many students don't speak any of these languages?
How many students speak english?
How many speak Cantonese or Spanish?
How many students speak English and Cantonese?
How many students speak only one of these languages?
How many students speak Spanish and English, but not Cantonese?
How many students speak at least two of these languages?
Answer:
1. 25
2. 89
3. 51 Spanish 26 Cantonese
4. 44
5. 33
6. 57
900 d 180 nd the SP when: CP = Rs. 950, gain = 6 1%4
Respuesta:
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Step-by-step explanation:
THERE ARE STEPS TO THIS
821) The integon which is 15 more than - 55 is
Answer:
-40
Step-by-step explanation:
-55 + 15 = x
-40 =x
What is the value of the expression 10(n-6) when 4=14
Answer:
it's going to be 4n so its going to be 4...
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Assuming you meant when n=14
10(n-6)
plug in 14 for n
10(14-6)
work out parenthesis first
10(8)=
80
Find the product of these complex numbers.
(8 + 5)(6 + 3) =
The diameter of the base is the cone measured 8 units. The height measures 6 units.
What is the volume of the cone?
A) 24 π cubic units
B) 32 π cubic units
C)48 π cubic units
D)64 π cubic units
Add the equations.
5x - y = -1
+ -5x + 3y= 25
A. 2y = 26
B. -10x = -24
C. 10x - 4y = -26
D. 2y = 24
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
option D is correctAnswer: 2y = 24
Step-by-step explanation:
How do I write this is in a fraction. Please please help
15-(-6) =
Answer:
5/2
Step-by-step explanation:
You change the signs to positive and then you put 15 as numerator and then 6 as denominator which gives you 15/6. But you can also simplify it which gives you 5/2. Hope this helps!
in a box of stones,the ratio of red marbles to total marbles 2:5. The ratio of green stone to total stones is 3:10. If the stones that are neither red nor green is blue,how many blue stones are the box if there are 40marbles in the box?
Answer:
12 blue marbles
Step-by-step explanation:
multiply 2:5 by 8 to get 16:40
multiply 3:10 by 4 to get 12:40
add 16 to 12 to get 28
Subtract 28 from 40 to get 12
Ultimately, you have 12 blue marbles
The given ratios can be expressed as fractions, from which the number of
each colored marble can be found.
The number of blue marbles in the box are 12 blue marbles.Reasons:
Red : Total = 2:5
Green : Total = 3:10
Stones that are neither red nor green is blue
Number of marbles (stones) in the box = 40 marbles
Required:
The number of blue stones in the box.
Solution:
Let x represent the b in the box, let R = red stones, G = green stones, and B = blue stones, we have;
x = 40
Expressing the ratios as fractions gives;
[tex]\dfrac{R}{x} = \dfrac{2}{5}[/tex]Therefore;
[tex]R= \dfrac{2}{5} \times x[/tex]
[tex]R= \dfrac{2}{5} \times 40 = 16[/tex]
The number of red stones, R = 16
Similarly, we have
[tex]\dfrac{G}{x} = \dfrac{3}{10}[/tex][tex]G = \dfrac{3}{10} \times x[/tex]
Therefore;
[tex]G = \dfrac{3}{10} \times 40 = 12[/tex]
The number of green stones, G = 12
B = x - (R + G)
Therefore;
B = 40 - (16 + 12) = 12
The number of blue marbles, B = 12 marbles.Learn more here:
https://brainly.com/question/3957420
If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who
visited the park over the two months falls into all of the following categories except
O real numbers
O rational numbers
o irrational numbers
Answer question below
Answer:
edge of cube = root 13.5/6 = 1.5
volume of cube = (Edge of cube)^3= (1.5)^3 = 3.37500 m^3
Abu is trying to decide which pet–sitting service he wants to use . Your Pets charges a $15 fee, plus $1 .75 per hour . Sit Pets charges an $11 fee, plus $2 .25 per hour . At how many hours will both services ...
Answer:I did not see the entire question but is assuming the question is asking how many hours for both services to cost the same.
Your Pets Cost =15+1.75x
Sit Pets Cost =11+2.25x
set both equations equal to each other
15+1.75x=11+2.25x
15-11 = (2.25-1.75)x
4=0.5x
x=8
Step-by-step explanation:
