Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
Sorry the question before didnt make sense.heres the full pic .
Answer:
No
Step-by-step explanation:
The question is:
Are 3/5 and 6/25 equivalent fractions?
Multiply the first fraction by 5/5:
3/5 * 5/5 = 15/25
3/5 is equivalent to 15/25
15/25 is not equal to 6/25.
Answer: No
What is the solution to the equation below? log 20xrise 3-2logx=4
Answer:
[tex]x = 500[/tex]
Step-by-step explanation:
Given
[tex]log20x^3 - 2logx = 4[/tex]
Required
Solve for x
[tex]log20x^3 - 2logx = 4[/tex]
Using law of logarithm which says;
[tex]nlogx = logx^n[/tex]
The expression becomes
[tex]log20x^3 - logx^2 = 4[/tex]
Also, using laws of logarithm which says:
[tex]loga - logb = log\frac{a}{b}[/tex]
The expression becomes
[tex]log(\frac{20x^3}{x^2}) = 4[/tex]
[tex]log(20x) = 4[/tex]
Also, using laws of logarithm which says
[tex]If\ loga = b\\then\ a = 10^b[/tex]
The expression becomes
[tex]20x = 10^4[/tex]
[tex]20x = 10000[/tex]
Divide through by 20
[tex]\frac{20x}{20} = \frac{10000}{20}[/tex]
[tex]x = \frac{10000}{20}[/tex]
[tex]x = 500[/tex]
Answer:
500
Step-by-step explanation:
Please help out ASAP :)
PLEASE HELPP!! QUESTION IS BELOW
Answer:
C
Step-by-step explanation:
Because the four line make a quadrilateral in which line a and d are parallel , line b and c are parallel. Then the others like line a and b ,a and c ,d and b are perpendicular.
If you draw it , it will be easier
Hope it helps ... Brainliest please
Answer: c
Step-by-step explanation:
State whether the following is reasonable or not. Explain your answer. Josefina gave away 130% of her stamp collection.
Answer:
Hey there!
That wouldn't be possible.
130% of something is more than the total amount.
For example, if she had 100 stamps, and gave away 130%, she would have -30 stamps, which is unreasonable.
Hope this helps :)
I need help with this question
Answer:
It's the first option.
Step-by-step explanation:
The line which rises to the right has a slope of 1 and a y-intercept of -6.
It's equation is y = x - 6.
The one which rises to the left has slope -1 and y-intercept -2.
It's equation is y = -x - 2 or x + y = -2.
The solution is at the point where the 2 lines cross - that is (2, -4).
The graph of the function F(x) = 2x^2-8 is changed. The new graph can be
represented by the function F(X)= -2x^2-4.
Which of the following describes the changes made to the graph of the
original function?
Answer:
The graph now opens in the opposite direction. The y intercept is shifted up 4.
Step-by-step explanation:
F(x) = 2x^2-8
F(X)= -2x^2-4
We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)
We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.
Attacthed is both of the equations graphed to help you visualize this shift!
PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3
Answer:
max for 5th-degree: 4 turns. This function: 2 turns.max for 7th-degree: 6 turns. This function: 0 turns.Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
__
1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
__
2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Find the missing segment in the attached image
Answer:
? = 78
Step-by-step explanation:
Use similar triangles.
26/12 = (26 + ?)/48
13/6 = (26 + ?)/48
6(26 + ?) = 13 * 48
156 + 6? = 624
6? = 468
? = 78
Answer:
The missing segment is equal to 78
Step-by-step explanation:
Using the similarity of triangles:
[tex]x=?[/tex]
[tex]$\frac{x+26}{48}=\frac{26}{12} $[/tex]
[tex]12(x+26)=48 \cdot 26[/tex]
[tex]12x+312=1248[/tex]
[tex]12x+312=1248[/tex]
[tex]12x=936[/tex]
[tex]x=78[/tex]
The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat. Which of the following could be the equation of F(x)
Answer:
Option (A)
Step-by-step explanation:
Parent function of the function graphed is,
G(x) = x²
Graph shows the vertex of the given parabola is at (3, 3).
Vertex form of a parabola is,
F(x) = a(x - h)² + k
where (h, k) is the vertex.
By substituting the coordinates of the vertex in the equation,
F(x) = a(x - 3)² + 3
Since the given parabola is opening upwards, value of 'a' will be positive.
So the equation will be,
F(x) = 2(x - 3)² + 3
Therefore, from the given options, equation given in Option (A) matches the answer.
Answer:
A is the correct answer.
Step-by-step explanation:
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
Answer:
[tex]C. \[/tex] [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]
Step-by-step explanation:
Given
[tex]x = 2[/tex]
[tex]y = 5[/tex]
Required
[tex]\frac{1}{2}x^3 + 3.4y[/tex]
Substitute 2 for x and 5 for y;
The expression becomes
[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]
Multiply 3.4 by 5
[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]
---------------------------
[tex]2^3 = 2 * 2 * 2 = 8[/tex]
--------------------------
[tex]=\ \frac{1}{2} * 8 + 17[/tex]
[tex]=\ \frac{8}{2} + 17[/tex]
[tex]=\ 4 + 17[/tex]
[tex]=\ 21[/tex]
Hence;
[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]
A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Answer:
377 choices
Step-by-step explanation:
The following values were given in the question:
The restaurant offered
6 choices of appetizer
8 choices of main meal
5 choices of dessert.
We are also told in the question that the customer can choose to eat just one course, or two different courses, or all three courses.
Let us represent each choice by :
A = Appetizer = 6
B = Main meal = 8
C = Dessert = 5
a) The 3 choices together
ABC=6 × 8 × 5=240 choices
b) AB= Appetizer and Main meal
= 6 × 8 = 48 choices
c) AC= Appetizer and Dessert
= 6 × 5 = 30 choices
d) BC = Main meal × Dessert
= 8 × 5 = 40 choices
e) A,B,C = the customer having each of the choices only
Appetizer + Main meal + Dessert
= 6 + 8 + 5
= 19 choices
The number of possible meals is calculated as:
240 choices + 48 choices + 30 choices + 40 choices + 19 choices
= 377 choices
PLEASE HELP ME!!!
ABCD is a rectangle in the coordinate plane. Give possible coordinates for the vertices of rectangle ABCD.
How do you know that your vertices form a rectangle?
Answer:
(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.
:)
WILL MARK BRAINIEST IF CORRECT FOR THE FIRST TO ANSWER!!! PLEASE HELP!!!
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Step-by-step explanation:
6,5,8,2,8,6,5,8,8
To find the mean you MUST add all of the numbers together
then divide by the number of numbers
this will be your mean
Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same since the absolute value is NEVER negative....
then you need to find the data value of the entire data set
then subtract the mean from that number!
PLEASEEE HELPP!!! BRINLIEST TO FIRST ANSWER!!
The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . -Explain where each the numerator and denominator come from. -What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. -Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.
Step-by-step explanation:
It is provided that a dance team has 9 dancers to perform different roles in each performance.
The number of arrangements of the 9 dancers in the different roles is:
Number of order of performance = 9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880
If the team selects the same order as last performance, then the possible number of arrangements is, 1.
The probability that the team selects the same order as last performance is:
[tex]=\frac{1}{362880}[/tex]
Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
So of the 9 positions the 1st and 3rd are occupied.
There are a remaining 7 positions to be filled by 7 dancers.
That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:
[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]
Thus, the probability is 1/72.
2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of 5.8 nails. Company B packages roofing nails in boxes that are normally distributed with a mean of 252 nails and a standard deviation of 3.4 nails. Which company is more likely to produce a box of 260 roofing nails? Explain your answer using z-scores.
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a positive z score of approximately 2.35 compared to company A with a z score of -2.76.
Which expression represents the algebraic phrase “twelve times the sum of a number and seven-tenths”? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12)
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the value of the logarithm.
log 210
Round your answer to the nearest thousandth.
Answer:
5.347
Step-by-step explanation:
5.3471075307175.
Answer:
Your correct answer is 5.347
What is the equation of the line that passes
through(-2, 4) and has a slope of 2/5?
Answer:
y=2/5x+4.8
Step-by-step explanation:
Proof
PRE CALC, help please
Answer:
option C is correct ...Step-by-step explanation:
Because, x= -1 and x =3 are the solution of function.....Laura’s overall monthly living expenses are $1,600. How much money does she have at the end of the month to put into savings?
Step-by-step explanation:
The question has missing details nevertheless we can make head way with the information on ground.
Given that Laura's overall monthly living expenses are $1,600
in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).
Say this overall amount is "x"
her saving for the month = [tex](x- 1600)[/tex]
Using this coin and a number cube, which simulation would help you answer this question? A professor found that her students pass the final exam about 50% of the time. She gives the exam during the fall, spring, and summer terms. If she has 30 students during each term and you choose a student at random, what are the chances that the student passed the exam during the fall term.
Answer:
didnt understand the quedtion clearly
pls help i give brainliest when I can [ill be fair]
Answer:
A
Step-by-step explanation:
x= 1 2/3, y=4 2/3
y=4(1 2/3)-2. y=4 2/3
y=1 2/3+3 y=4 2/3
and that make the answer going to be A. Also other answer didn't work so yet. Then, A should be the right answer!
Hope this help!
A. x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] and y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]
Step-by-step explanation:y = 4x - 2 ; y = x + 3
1. UNDERSTAND what you are given.
both equations solved for "y"when this is the case the easiest method is ALMOST ALWAYS SUBSTITUTION.2. SUBSTITUTION METHOD means you replace one of the variables in terms of the other to start solving.
4x - 2 = x + 3 (write eq.)
3x - 2 = 3 (combine like terms: part 1)
3x = 5 (combine like terms: part 2)
x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] (inverse operations: division)
3. PLUG IN VALUE FOR X to solve for y. Pick the simpler equation.
y = x + 3 (pick an original equation, either will work)
y = [tex]\frac{5}{3}[/tex] + 3
y = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{3}[/tex]
y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]
More explanations...
How many distinct triangles can be drawn using three of the dots below as vertices?
Answer:
The number of distinct triangles that can be drawn using the dots = 6
Step-by-step explanation:
The parameters given are;
Two rows of three evenly spaced dots
To form a triangle, two dots will be selected from 1 row while the third dot will be selected from the other row
The number of ways of selecting the dots are therefore;
₃C₂ × ₃C₁ = 3 × 3 = 9 triangles
The same procedure can be done from the top row to give another 9 triangles
Which gives the total number of triangles = 18 triangles
The number of distinct triangles are found as follows;
Given that triangles obtained from the top row are similar to those of the bottom row, we reduce the range from which the distinct triangles can be found to 19 - 9 = 9 triangles
Of the 9 triangles formed by one dot on top and two dots on the bottom, the two adjacent dots of the three dots which are on the left and on the right of the lower row of dots, form the same three triangles with the three dots on the top row
Therefore, since there are 3 sets of two dots forming 9 triangles, each pair of dots can form 3 triangles, and as mentioned, 2 pairs of dots of the 3 pairs form the same triangles making the distinct triangle = 9 - 3 = 6.
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 , will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Yes, he will have enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).
He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].
From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).
The lateral surface area of the cylinder = [tex]2\pi rh[/tex]
where, r = radius of the cylinder = [tex]\frac{\text{Diameter}}{2}[/tex] = [tex]\frac{1.1 }{2}[/tex] = 0.55 m
h = height of the cylinder = 1.4 m
[tex]\pi[/tex] = 3.142 (given)
So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]
= 4.84 [tex]\text{m}^{2}[/tex].
Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;
To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml
Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.
This means that yes, he will have enough paint to cover the tank with one layer of paint.
Use your calculator to find the value of each trig function below. Round to the tenth place.
Answer: 0.7
Step-by-step explanation: use calculator XD
The value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.
Given that, sin 24°, cos 45° and tan 88°.
We need to find the value of the trig function.
What are the six trigonometric functions?The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent.
Now, sin 24°=0.4067≈0.4
cos 45°= 0.70710≈0.7
tan 88°=28.63625≈28.6
Therefore, the value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.
To learn more about the trigonometric functions visit:
https://brainly.com/question/6904750.
#SPJ2
A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distance it has traveled. See the graph
below.
Answer:
0.125 miles per gallon.
Step-by-step explanation:
After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.
---------------------
Extra
---------------------
IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.
Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.
Answer:
A
Step-by-step explanation:
it right on edge
Answer:
A.
Step-by-step explanation:
Did the unit test in edge and got 100
Choose the single logarithmic expression that is equivalent to the one shown.
log2 6 + log2 2 − log2 8
Answer:
C. log2 3/2.
Step-by-step explanation:
When you are adding two logs with the same base, you multiply.
So, log2 6 + log2 2 = log2 6 * 2 = log2 12
When you subtract two logs with the same base, you divide.
So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2
The answer is C. log2 3/2.
Hope this helps!!
Find the missing side length in the attached image.
Answer:
24 units.
Step-by-step explanation:
we can use concept of Thales intercept theorem in this problem
according to this theorem, if there are n lines parallel to each then and two transverse line drawn such that they intersect the three parallel line given the problem, then the parallel line divides the transverse line equal proportion.
For this problem
For the line having length 45, one of the length is 25 units,
then other length will be 45-25 = 20 unit
Now using Thales intercept theorem
30/? = 25/20
30/? = 5/4
? = 30*4/5 = 24
Thus, missing side length will be 24 units.