Answers
x = 16.
Related Questions
Name the property the equation illusrares 8+3.4=3.4+8
Answers
brainliest and follow please
"25 students, and has a distribution of grades with a mean of 70 and standard deviation of 15, what is the standard error of the mean?"
Answers
The scatter plot shows the number of football and baseball cards collected by a sample of third grade children. A coordinate plane titled Number of Football and Baseball Cards Collected with x and y axis ranging from 0 to 100 in increments of 10. The y axis is titled Baseball cards and the x axis is titled Football cards. The coordinate plane contains 11 points. Begin ordered pair 10 comma 60 end ordered pair labeled F. Begin ordered pair 10 comma 90 end ordered pair labeled A. Begin ordered pair 20 comma 40 end ordered pair labeled K. Begin ordered pair 30 comma 40 end ordered pair labeled E. Begin ordered pair 30 comma 60 end ordered pair labeled J. Begin ordered pair 40 comma 40 end ordered pair labeled D. Begin ordered pair 50 comma 40 end ordered pair labeled C. Begin ordered pair 60 comma 20 end ordered pair labeled H. Begin ordered pair 70 comma 20 end ordered pair labeled I. Begin ordered pair 80 comma 20 end ordered pair labeled G. Begin ordered pair 80 comma 50 end ordered pair labeled B. Which children collected more football than baseball cards? Dan, Simian, Jason, Peter Monique, Jordan, Peter, Dan, Simian, Jason Ruso, Ryan, Monique, Jordan, Peter Dan, Simian, Ken, Jimmy, Jason Name Label Dan A Peter B Ruso C Dyna D Jimmy E Simian F Jordan G Ryan H Monique I Jason J Ken K
Answers
Hope this helps!
CTPehrson
The children who collected more football than baseball cards are:
Ruso, Ryan , Monique , Jordan , Peter.
Step-by-step explanation:We are given a set of values as:
( Football cards,Baseball cards) Letter Name
(10,60) F Simian
(10,90) A Dan
(20,40) K Ken
(30,40) E Jimmy
(30,60) J Jason
(40,40) D Dyna
(50,40) C Ruso
(60,20) H Ryan
(70,20) I Monique
(80,20) G Jordan
(80,50) B Peter
Hence, children who collected more football then baseball cards are the one whose first value of the ordered pair is more than the other.
Hence, They are:
(50,40) C Ruso
(60,20) H Ryan
(70,20) I Monique
(80,20) G Jordan
(80,50) B Peter.
The average value of the function v(x)=3x on the interval [1,c] is equal to 5. find c if c>1.
Answers
To find the average value of a function, we need to calculate the integral of the function over the interval and divide it by the length of the interval. In this case, the average value of the function v(x) = 3x on the interval [1,c] is equal to 5. We can find c by setting up an equation using the formula for the average value and then solving for c.
Explanation:To find the average value of a function on an interval, we need to calculate the integral of the function over that interval and then divide it by the length of the interval. In this case, we have the function v(x) = 3x and the interval [1, c].
So, the average value of the function on this interval is given by: average = 1/(c-1) * ∫(3x dx) from 1 to c. We are given that the average value is equal to 5. Setting this equal to 5, we have: 5 = 1/(c-1) * [3x^2/2] from 1 to c.
Simplifying further, we get: 5 = 1/(c-1) * (3c^2/2 - 3/2). Multiplying both sides by (c-1), we have: 5(c-1) = (3c^2/2 - 3/2).
From here, we can solve for c using algebraic methods. Once we find the value of c, we can verify that it is greater than 1, as stated in the question.
Learn more about Average value of a function here:https://brainly.com/question/32589988
#SPJ2
The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative.
Answers
since the derivative is a constant, it doesn't quite matter what "t" may be.
Answer:
Instantaneous Velocity is [tex]-5[/tex]
Step-by-step explanation:
Velocity refers to the speed along with direction or we can say velocity refers to rate of change of position of an object with respect to time.
Let [tex]s\left ( t \right )[/tex] be the position of object . Then the instantaneous velocity is given by [tex]v\left ( t \right )=s'\left ( t \right )[/tex] . At time [tex]t=t_0[/tex] , velocity is given by [tex]v\left ( t_0 \right )=s'\left ( t_0 \right )[/tex]
Given: [tex]s\left ( t \right )=-9-5t[/tex]
On differentiating with respect to time t , we get :
[tex]v\left ( t \right )=s'\left ( t \right )=-5[/tex]
At [tex]t=t_0=4[/tex] ,
[tex]v\left ( 4 \right )=s'\left ( 4 \right )=-5[/tex]
Which graph shows a plot of the complex number i - 2
Answers
i - 2
The first thing you should remember is that in a complex number plane:
The vertical axis represents the imaginary part.
The horizontal axis represents the real part.
Answer:
See attached image.
Which set of numbers can represent the lengths of the sides of a right triangle? Round to the nearest whole number.
4, 4, 4
4, 6.93, 8
11.2, 16.2, 19.2
4/3, 3, 6/3
Answers
Using the pythagorus theorem
a2+b2 =c2
sqr(4)+sqr(6.93)=sqr(8)
A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is the theoretical probability of rolling a 4?
A. 47/120; 1/30
B. 47/120; 1/6 ******
C. 4/47; 1/6
D. 1/6; 47/120
Am I Correct?
Answers
A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability = [tex] \frac{Favourable outcomes}{Total outcomes} [/tex]
So, Probability of rolling a 4 = [tex] \frac{ Total number of times when 4 appears}{Total number of times number cube rolled} [/tex]
= [tex] \frac{47}{120} [/tex]
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 = [tex] \frac{1}{6} [/tex]
So, Option B is the correct answer.
PLEASE HELP!! WILL GIVE BRAINLIEST!!!!!!!
A car's radiation fan has five equally spaced blades. In how many different rotations less than 360° can you rotate the fan onto itself?
4
2
3
1
PLEASE PLEASE HELP ME!!!
Answers
Which functions have real zeros at 1 and 4? Check all that apply.
f(x) = x2 + x + 4
f(x) = x2 – 5x + 4
f(x) = x2 + 3x – 4
f(x) = –2x2 + 10x – 8
f(x) = –4x2 – 16x – 1
Answers
[tex]f(x)=-2x^2+10x-8=-2(x^2-5x+4)=-2(x^2-4x-x+4)=\\-2[x(x-4)-1(x-4)]=-2(x-4)(x-1)=0\iff x=4\ \vee\ x=1\ \text{CORRECT}\\\\f(x)=-4x^2-16x-1\to f(1)=-4\cdot1^2-16\cdot1-1=-4-16-1=-21\neq0\ :([/tex]
Answer:
[tex]\boxed{f(x)=x^2-5x+4\ and\ f(x)=-2x^2+10x-8}[/tex]
Answer:
To find the zeros of a quadratic function, use the quadratic equation, [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]. We find that the eqautions with zeros at 1 and 4 are b) x² -5x + 4 and d) -2x² + 10x - 8.
Step-by-step explanation:
a) x² + x + 4 --
[tex]x = \frac{-1 \pm \sqrt{1^2-4*1*4} }{2*1}\\x=\frac{-1 \pm \sqrt{1-16}}{2}[/tex]
Because the discriminant (the value inside the square root) is negative, this equation does not have real zeros, so it is not the answer.
b) x² - 5x + 4 --
[tex]x = \frac{5 \pm \sqrt{(-5)^2-4*1*4}}{2*1} \\x=\frac{5 \pm \sqrt{25-16}}{2} \\x = \frac{5 \pm 3}{2}[/tex]
Now, we calculate the two zeros by adding and subtracting the 3.
[tex]x = \frac{5+3}{2} \\x= \frac{8}{2} = 4\\\\x= \frac{5-3}{2} \\x= \frac{2}{2}=1[/tex]
The zeros of this function are 1 and 4, so it is included in our answer.
c) x² + 3x - 4 --
[tex]x = \frac{-3 \pm \sqrt{3^2-4*1*-4}}{2*1} \\x = \frac{-3 \pm \sqrt{9+16}}{2} \\x= \frac{-3 \pm 5}{2}\\\\x=\frac{-3+5}{2}=1\\x=\frac{-3-5}{2} = -4[/tex]
The zeros of this function are -4 and 1, so it is not the answer.
d) -2x² + 10x - 8 --
[tex]x = \frac{-10 \pm \sqrt{10^2-4*(-2)*(-8)} }{2*(-2)} \\x=\frac{-10 \pm \sqrt{100-64} }{-4} \\x = \frac{-10 \pm 6}{-4} \\\\x=\frac{-10 + 6}{-4} =1\\x = \frac{-10-6}{-4} =4[/tex]
The zeros of this function are 1 and 4, so it is included in our answer.
Find the exact values ofcos (3pi/4radians) and sin (3pi/4 Radians)
Answers
[tex]\sin\dfrac{3\pi}{4}=\sin\left(\pi-\dfrac{\pi}{4}\right)=\sin\dfrac{\pi}{4}=\dfrac{\sqrt2}{3}[/tex]
Look at the picture.
[tex]\dfrac{\pi}{2} \ \textless \ \dfrac{3\pi}{4} \ \textless \ \pi\\\\therefoere\\\\\cos\dfrac{3\pi}{4} \ \textless \ 0\ and\ \sin\dfrac{3\pi}{4} \ \textgreater \ 0[/tex]
using a fair coin and a fair six-sided number cube, what is the probability of tossing tails and rolling a multiple of 3?
Answers
P(3 or 6)=1/6+1/6=1/3
Given a fair coin:
P(Tails)=1/2
thus
probability of tossing tails and rolling a multiple of 3
=1/2×1/3=1/6
[tex] |\Omega|=2\cdot6=12\\
|A|=1\cdot2=2\\\\
P(A)=\dfrac{2}{12}=\dfrac{1}{6}\approx17% [/tex]
The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. If the machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours?
Answers
Given is the direct relationship between number of produced straws and the hours of operating machine.
Given that 20,000 straws are produced in 8 hours of machine's operation.
Let's assume that 'x' straws are produced in 50 hours of machine's operation.
Using the concept of proportions, x straws in 50 hours would be proportional to 2000 straws in 8 hours.
[tex] \frac{X \;straws}{50 \;hours} =\frac{20,000 \;straws}{8 \;hours} \\\\\frac{X \;straws}{20,000 \;straws} =\frac{50 \;hours}{8 \;hours} \\\\\frac{X}{20,000} =\frac{50}{8} \\\\Cross \;multiplying \\\\8*X = 50*20000 \\\\8X = 1,000,000 \\\\\frac{8X}{8} =\frac{1,000,000}{8} \\\\X=125,000 \;straws [/tex]
Hence, total 125,000 straws would be produced in 50 hours.
How is the graph of y=7x^2+4 different from the graph of y=7x^2
1. Is it shifted 4 units up
2. Is it shifted 4 units down
3. Is it shifted 4 units to the left
4. Is it shifted 4 units to the right
Answers
*Write An inequality then solve for the width.* The length of a rectangle is 12 more than its width. what values of the width will make the perimeter less than 96 feet? (Will give brainliest to best answer)
Answers
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: [tex]P=2(w+l)[/tex]
where
[tex]P[/tex] is the perimeter
[tex]w[/tex] is the width
[tex]l[/tex] is the length
We know that [tex]w=x[/tex] and [tex]l=12+x[/tex], so lets replace those values in our formula:
[tex]P=2(x+12+x)[/tex]
[tex]P=2(2x+12)[/tex]
[tex]P=4x+24[/tex]
We want values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
[tex]4x+24\ \textless \ 96[/tex]
[tex]4x\ \textless \ 72[/tex]
[tex]x\ \textless \ \frac{72}{4} [/tex]
[tex]x\ \textless \ 18[/tex]
Since the width can't be zero, we can conclude that the values of the width that will make the perimeter less than 96 feet are: [tex]0\ \textless \ x\ \textless \ 18[/tex] or in interval notation: (0,18)
A regular heptagon has a perimeter of 560 centimeters. What is the length of the sides of the heptagon? 56 cm
Answers
A heptagon has 7 sides
You divide the perimeter by the amount of sides
560 / 7 = 80
Each side is 80 centimeters
The answer is 80cm
Hope this helps!
A statistical study concluded that the average fan at a typical sporting event spends approximately $7.50 on concessions. if only one vendor is licensed to sell at a concert that expects a turnout of 10,000, what is the projected sales total for the vendor? a) $7,500 b) $15,000 c) $75,000 d) $150,000
Answers
We multiply the average amount each customer spends by the projected number of customers:
7.50(10,000) = 75,000
The projected sales total for the vendor at the concert is calculated by multiplying the average concession spending of $7.50 by the expected 10,000 fans, resulting in $75,000 (option c).
To calculate the projected sales total for the vendor at the concert, we need to multiply the average amount spent by each fan on concessions by the total number of fans expected to attend the event. Given that the average fan spends $7.50 on concessions and that there are 10,000 fans expected, the projected sales total can be found as follows:
Projected Sales Total = Average Spend per Fan x Total Number of Fans
Projected Sales Total = $7.50 x 10,000
Projected Sales Total = $75,000
Therefore, the correct answer is (c) $75,000.
Given the quadratic function : f(x)=x^24x-12
Find the vertex.
Can you show the steps?!?
Answers
Say it with symbols a pool has lenght of 3s and a width of 2s. square tiles that are 1 ft. by 1ft. will be placed around the pool as the a border. write an expression that can be used to determine to create the border for pool size.
Answers
P = 2L + 2W (L represents length, W represents width)
P = 2(3s) + 2(2s)
P = 6s + 4s
P = 10s
Find the length of the curve yequalsthree fifths x superscript 5 divided by 3 baseline minus three fourths x superscript 1 divided by 3 baseline plus 8 for 1less than or equalsxless than or equals27.
Answers
The exact value of the arc length of the curve is 149.4 units
How to determine the exact arc length of the curve
From the question, we have the following parameters that can be used in our computation:
[tex]y = \dfrac35x^\frac53 - \dfrac34x^\frac13 + 8[/tex]
Also, we have the interval to be
-1 ≤ x ≤ 27
This means that the x valus are
x = -1 to x = 27
The arc length of the curve can be calculated using
[tex]\text{Length} = \int\limits^a_b {\sqrt{1 + ((dy)/(dx))^2}} \, dx[/tex]
Recall that
[tex]y = \dfrac35x^\frac53 - \dfrac34x^\frac13 + 8[/tex]
So, we have
[tex]\dfrac{dy}{dy} = x^\frac{2}{3}-\dfrac{1}{4x^\frac{2}{3}}[/tex]
This means that
[tex]\text{Length} = \int\limits^{27}_{-1} {\sqrt{1 + (x^\frac{2}{3}-\dfrac{1}{4x^\frac{2}{3}})^2}} \, dx[/tex]
Using a graphing tool, we have the integrand to be
[tex]\text{Length} = \dfrac{12x^\frac{5}{3}+15\sqrt[3]{x}}{20}|\limits^{27}_{-1}[/tex]
Expand and evaluate
[tex]\text{Length} = 149.4[/tex]
Hence, the exact arc length of the curve is 149.4 units
When two fair dice are rolled, what is the probability that at least one of the numbers will be even??
Answers
A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 24 inches, as shown below. Use Twenty two over seven for pi.
A sphere with diameter 24 inches is drawn.
Which of the following can be used to calculate the volume of water inside the fish bowl?
1 over 24 over 322 over 7(12 3)
1 over 24 over 322 over 7(12 2) (24)
1 over 24 over 322 over 7(24 3)
1 over 24 over 322 over 7(24 2) (12)
Answers
Answer:
1 over 2 4 over 3 22 over 7 (12^3)
Step-by-step explanation:
Volume of sphere = (4/3)*pi*radius^3
If the sphere has a diameter of 24 inches, then its radius is 12 inches.
The spherical fish bowl is half-filled; then, the volume of water inside the fish bowl is half of the volume of the bowl, that is,
volume of water = (1/2)*(4/3)*pi*radius^3
Replacing with radius value and the given value for pi, we get:
volume of water = (1/2)*(4/3)*(22/7)*(12^3)
On the Venn diagram, which region(s) represent the union of Set A and Set B (A⋃B)?
a. II
b. I and III
c. I, II, and III
d. I, II, III, and IV
Answers
Answer:
c. I, II, and III
Step-by-step explanation:
The union of two sets includes all elements from one set and all elements from the second set.
For our sets, this means all elements of set A, which includes region I and region II. It also means all elements of set B, which includes region III.
Thus the answer is regions I, II and III.
Answer:
C
Step-by-step explanation:
Just took the test
Algebra 2 help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Urgent!!!!!!!!!!!!
Answers
The total angle for this case is given by:
theta = 90 + 55
theta = 145 degrees
Answer:
145 degrees
option 1
Question 2:
The angle is:
cos (theta) = root (3/2)
sine (theta) = - 1/2
Thus,
theta = -30 degrees
Answer:
-30 degrees
option 4
Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?
Answers
Answer:
63.39 yards.
Step-by-step explanation:
Refer the attached figure
We are given that Caleb and Emily are standing 100 yards from each other i.e. BC = 100
Let BD = x
So, DC = 100-x
We are given that Caleb looks up at a 45° angle to see a hot air balloon i.e. ∠ABD = 45° and Emily looks up at a 60° angle to see the same hot air balloon i.e. ∠ACD = 60°
Let AD be the height of the balloon denoted by h.
In ΔABD
Using trigonometric ratio
[tex]tan \theta = \frac{Perpendicular}{Base}[/tex]
[tex]tan 45^{\circ} = \frac{AD}{BD}[/tex]
[tex]1= \frac{h}{x}[/tex]
[tex]x=h[/tex] ---1
In ΔACD
Using trigonometric ratio
[tex]tan \theta = \frac{Perpendicular}{Base}[/tex]
[tex]tan 60^{\circ} = \frac{AD}{DC}[/tex]
[tex]\sqrt{3}= \frac{h}{100-x}[/tex]
[tex]\sqrt{3}(100-x)=h[/tex] ---2
So, equating 1 and 2
[tex]\sqrt{3}(100-x)=x[/tex]
[tex]100\sqrt{3}-\sqrt{3}x=x[/tex]
[tex]100\sqrt{3}=x+\sqrt{3}x[/tex]
[tex]100\sqrt{3}=x(1+\sqrt{3})[/tex]
[tex]\frac{100\sqrt{3}}{1+\sqrt{3}}=x[/tex]
[tex]63.39=x[/tex]
Thus the height of the balloon is 63.39 yards.
Answer:
B
Step-by-step explanation:
Please help !!
20 points !!!!
Answers
[tex]4d = 6r - 12 \\ 6r = 4d + 12 \\ r = \frac{1}{6} (4d + 12) \\ r = \frac{2 \times 2}{3 \times 2} d + \frac{12}{6} \\ r = \frac{2}{3} d + 2[/tex]
A class has 25 students - 15 girls and 4 boys. 5 girls and 4 boys are wearing blue. a student is picked at random. what is the probability that the studnet is either a boy or girl who is not wearing blue?
Answers
0.8 or 80%.
The question is asking for the probability that a randomly chosen student is either a boy or a girl not wearing blue. There are 25 students in total, with 15 girls and 10 boys. Out of these, 5 girls and 4 boys are wearing blue. Therefore, the number of girls not wearing blue is 15 - 5 = 10 girls. Since all boys are considered in the probability, regardless of what they wear, we have 10 boys. So, we have 10 girls not wearing blue and 10 boys, totalling 20 students that match the criteria out of 25.
The probability can be calculated as follows:
( P(\text{{boy or girl not wearing blue}}) = \frac{{\text{{number of boys and girls not wearing blue}}}}{{\text{{total number of students}}}} = frac{{20}}{{25}} = 0.8 ) or 80%.
Therefore, the probability that a student picked at random is either a boy or a girl who is not wearing blue is 0.8 or 80%.
how many times greater is the value of the 2 in 204,936 than the value of the 2 in 124,936
Answers
Find the 86th term of the arithmetic sequence 21, 15, 9, ...21,15,9,...
Answers
The 86th term of the arithmetic sequence is [tex]\(-489\).[/tex]
To find the 86th term of the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence:
[tex]\[ a_n = a_1 + (n - 1) \cdot d \][/tex]
where:
- [tex]\( a_n \)[/tex] is the nth term,
- [tex]\( a_1 \)[/tex] is the first term,
- ( n ) is the term number,
- ( d ) is the common difference.
In this sequence:
- [tex]\( a_1 = 21 \),[/tex]
- [tex]\( d = 15 - 21 = -6 \).[/tex]
Now, we can plug these values into the formula to find the 86th term:
[tex]\[ a_{86} = 21 + (86 - 1) \cdot (-6) \][/tex]
[tex]\[ a_{86} = 21 + 85 \cdot (-6) \][/tex]
[tex]\[ a_{86} = 21 - 510 \][/tex]
[tex]\[ a_{86} = -489 \][/tex]
So, the 86th term of the arithmetic sequence is [tex]\(-489\).[/tex]
A classroom of children has 16 boys and 19 girls in which five students are chosen to do presentations. what is the probability that at least four boys are chosen?
Answers
Total number of boys = 16
Total number of girls = 19
Favorable outcomes = BBBBB, BBBBG, BBBGB, BBGBB, BGBBB, GBBBB
P(at least 4 boys) = (16/35)(15/34)(14/33)(13/32)(12/31) + 4 (16/35)(15/34)(14/33)(13/32)(19/31) = 78/5797 + 494/5797 = 52/527
Answer: 52/527
The probability of at least four boys from five selected students depends on the ratio of the favorable outcomes (either four boys and one girl, or all five are boys) to the total combinations of five students from 35, calculated using Combinatorics.
Explanation:The subject of your question is Probability, which falls under Mathematics. The question can be approached through Combinatorics, a branch of Mathematics that deals with combinations of objects belonging to a finite set following certain constraints.
To address your question, we first need to find the total number of ways that five students can be selected from the total 35 (16 boys and 19 girls). This can be calculated using combinations, denoted as C(n, r), where n is the total number of elements and r is the number of elements to choose from the total. In this case, the total combinations would be C(35, 5).
Next, we need to find the combinations where at least four boys are chosen. This could mean either four boys and one girl are chosen, or all five chosen are boys.
For the situation where four boys and one girl are chosen, the possible combinations would be C(16, 4) * C(19, 1). For the situation where all chosen are boys, the possible combinations would be C(16, 5).
So, the total desired combinations would be C(16, 4)*C(19, 1) + C(16, 5).
The probability of choosing at least four boys would be the ratio of desired combinations to the total combinations. Thus, Probability = [C(16, 4)*C(19, 1) + C(16, 5)] / C(35, 5).
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ11