The trial of stimulation that can model the probability of the gender of the kittens is tossing a coin five times and count the number of heads.
What is probability?Probability simply means the chance of the occurrence of an event. It's the numerical description of how likely an event will occur.
In this case, from the complete question, the trial of stimulation that can model the probability is to toss a coin five times and count the number of heads. The gender of the kittens can be allocated to the head or tail of the coin.
This is important to determine the probability that in a litter of 5 kittens, there will be more female than male kittens.
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The highest common factor of 2x2 yz, 4xy2 z, 8xyz2
[tex]\longrightarrow[/tex]Let us write all expression in factorised form .
[tex]\sf 2x^2yz = \underline{2}\times \underline{x} \times x \times \underline{y} \times \underline{z}[/tex][tex]\sf 4xy^2z= \underline{2} \times 2 \times \underline{x} \times \underline{y} \times y \times \underline{z} [/tex][tex]\sf 8xyz^2= \underline{2} \times 2 \times 2 \times \underline{x}\times \underline{y} \times \underline{z} \times z [/tex][tex]\leadsto[/tex] Common factors are 2,x,y,z and their product will give us highest common factor
[tex]\implies \sf 2\times x\times y \times z[/tex]
[tex]\implies \sf 2xyz[/tex]
5. You can order video games from a company for $25 a
game, plus a $35 service charge for the entire order. If you
have $260, how many games, g, can you order?
Answer:
Step-by-step explanation:
25g + 35 = 260
25g = 225
g = 9 games
Pedro has a credit score of 895 and Bettina has a score of 768. A banker has decided that they both get a credit card; however, the borrower with the worst credit score will be charged an extra fee of $50.00. If they both receive a credit card with $1,500.00 credit, how much credit will Pedro have left after buying a bicycle for $425.00?
I NEED HIS CREDIT SCORE
Answer:
1075$ left
Step-by-step explanation:
1500-425
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Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3), v = 5i + 10j
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex].
How to calculate the directional derivative of a multivariate function
The directional derivative is represented by the following formula:
[tex]\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v[/tex] (1)
Where:
[tex]\nabla f (r_{o}, s_{o})[/tex] - Gradient evaluated at the point [tex](r_{o}, s_{o})[/tex].[tex]\vec v[/tex] - Directional vector.The gradient of [tex]f[/tex] is calculated below:
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right][/tex] (2)
Where [tex]\frac{\partial f}{\partial r}[/tex] and [tex]\frac{\partial f}{\partial s}[/tex] are the partial derivatives with respect to [tex]r[/tex] and [tex]s[/tex], respectively.
If we know that [tex](r_{o}, s_{o}) = (1, 3)[/tex], then the gradient is:
[tex]\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right][/tex]
If we know that [tex]\vec v = 5\,\hat{i} + 10\,\hat{j}[/tex], then the directional derivative is:
[tex]\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right][/tex]
[tex]\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}[/tex]
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]
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What is the midpoint of the segment below?
O A. (-1.1)
O B. (0.5, -0.5)
O c. (0,0)
O D. (0.5, 0.5)
B.
Step-by-step explanation:
to find the midpoint the formula is
[tex]( \frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]
so use the points provided and substitute them in to the formula!!
(-4,-7) = (x1, y1) (5,6) = (x2, y2)so now it would look like this inside the formula
and then you'll just solve that !!
[tex]\frac{5 + ( - 4)}{2} = \frac{1}{2} = 0.5[/tex]
so we know x = 0.5 now, solve for y
[tex]\frac{6 + ( - 7)}{2} = \frac{ - 1}{2} = - 0.5[/tex]
and we now know y = -0.5
point form (x,y) and you're all done !!
and this is why the answer is B. (0.5, -0.5)
Is anyone able to help me with finding the volume of the triangular prism
Answer:
The answer is 1456
Step-by-step explanation:
Ok so what you have to do is take the 18 and the two 12s and you have to multiply then you have to square it and now i wasted your time and this is payback for deleting my post so no i cant help u with that
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph. How much time passes until the trains are 600 mph apart
Answer:
4 hours
Step-by-step explanation:
I hope this helps :)
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Answer:
The answer is D or 13/36
Step-by-step explanation:
can I have help please
Step-by-step explanation:
Given: Two congruent sides, (DE and EF). Anlge. E is 36.
Let angle F be x°.
According to the base isoceles triangle theroem,
Two angles are equal if the sides they are opposite from are equal.Since Angle F is opposite from DE and Angle D is opposite from EF, and DE=EF.
Angle D = Angle F.
So using transitive property, Angle D is x°. as well.
All angles in triangles add up to 180 so
[tex]36 + x + x + = 180[/tex]
[tex]36 + 2x = 180[/tex]
[tex]2x = 144[/tex]
[tex]x = 72[/tex]
So angle F is 72°.
Since DF is opposite from 36°, the shortest angle, DF is the shortest side.
A right angle is divided into two angles, creating ∠1 and ∠2. ∠1 and ∠2 are _______.
Answer:
45
Step-by-step explanation:
A right angle is ALWAYS equal to 90 degrees. If it is divided equally to two angles then both will be 45 degrees.
90/2=45.
Answer:
Complementary(word) 45(number)
Step-by-step explanation:
If any two angles were to make up a 90° angle (aka right angle), they would be complementary because complementary angles add up to a 90° angle.
90/2 = 45°
Where 2 represents the two angles that make up 90°
And 90 meaning the total of the right angle.
Ryan decided to ride his bicycle X times around the neighborhood. His best friend
Tommy decided to ride his bicycle 4 times more than what Ryan rode. After they each
rode by themselves, they rode 8 times together around the neighborhood. Write an
expression to find out the total number of times they both rode around the
neighborhood
2x - 10
5x - 7
5x + 8
6x-3
5x + 8
easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Line segment MN has a midpoint of (7, 3. 5). Point N is located at (14, 7). What are the coordinates for point M?
(0. 0)
(10. 5, 5. 25)
(21. 10. 5)
(26, 14)
Answer: Start with the midpoint, G(10,8), and move your pencil point 4 units to the left and 1 unit up to reach the endpoint M(6,9). To find the other end point, start with the midpoint G(10,8) again, but now move your pencil point 4 units to the right and 1 unit down. Result: N(14,7).
Check: find the mean of the 2 x-coordinates: Does (6+14)/2 = 10, the x-coordinate of the midpoint? YES. Does (9+7)/2 = 8, the y-coord. of the midpoint? YES.
The desired other end point is therefore N(14,7).
Explanation: the standard coordinate plane, what is the midpoint of a line segment that goes from the point (3, 5) to the point (7, 9)?. Possible Answers: (–2, –2). (7, 5).
Calculate the pay for the following day of a weekly time card given a wage of $ 12/hour.
Answer: $714
Step-by-step explanation:
Find the time distances between both of the times, one being 4 hours and one being 4 hours and 30 minutes. Now multiply 4x12 and 4.5x12. You get 48 and 54. Add these together and get 102. Now multiply 102 by the numbers of the week (7) and you get 714. With this knowledge you now know that is is $714
2 inches on the map represents 0.5 miles on the ground. Find the scale ratio.
Step-by-step explanation:
far eastern coastal Seva inside and out of love
Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at 4/5 inch per hour. The snow continues at this rate for 10 hours. What is the ratio of the amount of snow in inches to the amount of time in hours? *
Answer: 8 inches: 10 hours
Step-by-step explanation:
From the above question, we are informed that during the last snow storm, the snow accumulated at 4/5 inch per hour and that the snow continues at this rate for 10 hours.
The the ratio of the amount of snow in inches to the amount of time in hours first thus:
We have to calculate the amount of snow in inches first. This will be:
= 4/5 × 10
= 8 inches
Therefore, the the ratio of the amount of snow in inches to the amount of time in hours will be 8 inches for 10 hours
Two functions are f(x) = (2x+5)/8 and g(x) 3x-4. If inverse of (fog)(x) is an identity function, find the value of x
Answer:
if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Step-by-step explanation:
The value of variable x is,
⇒ x = - 3/2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Two functions are;
⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.
Here, The inverse of (fog)(x) is an identity function,
Hence, We get;
⇒ (f o g) (x) = f (g (x))
= f (3x- 4)
= [ 2 (3x - 4) + 5 ] / 8
= (6x - 8 + 5) / 8
= (6x - 3) / 8
Thus, The inverse of (fog)(x) is,
⇒ (f o g) (x) = (6x - 3) / 8
⇒ y = (6x - 3) / 8
Solve for x;
⇒ 8y = 6x - 3
⇒ 8y + 3 = 6x
⇒ x = (8y + 3) / 6
⇒ (f o g)⁻¹ (x) = (8x + 3) / 6
Here, The inverse of (fog)(x) is an identity function, \
Hence, We get;
⇒ (f o g)⁻¹ (x) = x
⇒ (8x + 3) / 6 = x
⇒ 8x + 3 = 6x
⇒ 8x - 6x = - 3
⇒ 2x = -3
⇒ x = - 3/2
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find the equation of the line parallel to y= 6x+7 with a y-intercept of 8
Answer:
y=6x+8
Step-by-step explanation:
Since the lines are parallel, the slopes are the same. Once you have y=6x+b, you plug in (0,8) as the y-intercept and find that b=8.
Harlan makes a snack mix with proportional amounts of cereal and popcorn. The graph shows how much popcorn he uses with different amounts of cereal to make the snack mix.
How many cups of popcorn does Harlan use per cup of cereal?
cups
How many cups of cereal does Harlan use per cup of popcorn?
cups
Answer:
2 cups of popcorn and 1/2 cups of cereal per cup
Step-by-step explanation:
khan told me
I need answers pls!!!!!!! :)
Answer:
Directly proportional, 2:3
Step-by-step explanation:
Directly proprtional as when one increases, so does the other.
2:3 because for every 2 notes there are 3 backbeats.
write the equation in slope intercept form. what are the slope and y intercept -5x-12y=11
Answer:
y = [tex]-\frac{5}{12} x[/tex] Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}[/tex].
Step-by-step explanation:
-5x - 12y = 11 Add 5x to each side.
-12y = 5x + 11 Divide each side by -12.
y = [tex]-\frac{5}{12} x + (-\frac{11}{12} )[/tex] Change the + to -.
y = [tex]-\frac{5}{12} x - \frac{11}{12}[/tex]
Slope intercept form is y = mx + b, so slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}.[/tex]
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thank you
Taylor makes necklaces and bracelets to sell at local craft fairs. If 65% of the jewelry she made today was necklaces, and she made 200 total pieces, how many necklaces did she make? How many bracelets did she make?
Answer:
d
Step-by-step explanation:
x : y = 1 : 5
a) y=5x
b) y = x/5
c) y = x - 4
d) y = x + 4
Answer:
y=5x
Step-by-step explanation:
please mark me as brainlest
Answer:
a) y = 5x
Step-by-step explanation:
Given :-
x : y = 1 : 5
Solving :-
x/y = 1/5
y = 5x
Solution :-
a) y = 5x
Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points
The amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
It is provided that:
Nominal interest rate = 13.62% compounding quarterly.
usually, interest rates are given in annual terms.
Converting 13.62 in quarterly terms, we get:
R = [tex]13.62/4 = 3.405\%[/tex] (as there are 4 quarters annually)
This rate is quarterly and is compounding quarterly.
Since these two things matched (the rate is in quarter version and so as the compounding of interest), we can take:
Unit of time = quarter of an year
Getting effective interest means interest that the principal grows by in one year.
One year = 4 quarters = 4 times unit of time.
Thus, T = 4
Thus, compound interest would be:
[tex]CI = P(1 +\dfrac{R}{100})^T - P = P( (1+3.405/100)^4 - 1) \approx P(0.1433)[/tex]
Taking its percent compared to principal amount P:
[tex]\dfrac{P(0.1433)}{P} \times 100 = 14.33\%[/tex]
Thus, the effective interest rate is 14.33%
The difference between effective and nominal interest rate is:
14.33 - 13.62 = 0.71%
Thus, the amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points
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Answer:
option D
Step-by-step explanation:
The length of the unknown leg is
Answer:
21
Step-by-step explanation:
29 squared then 20 squared
subtract them
then get the squared root
and then you have 21
Which is a unit rate?
12 inches to 1 foot
3 hours to 1 hour
3 books for $10
4 cats to 3 dogs
Answer:
3 books for 10$
Step-by-step explanation:
Answer:
3 books for $10
Step-by-step explanation:
Find the measure of c°.
21°
159°
100.5°
60°
By the concepts of the transversal line we obtain the measure of angle c is 21°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram angle opposite to the 159° must also be 159° and it is the measure of angle b.
We know, The sum of pair of angles in a straight line is 180°.
Therefore, m∠C = 180° - 159°.
m∠C = 21°.
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4√30^2 times 3√20x
(i will mark you brainliest if you answer this correctly)
Answer:
720[tex]\sqrt{5x}[/tex]
Step-by-step explanation:
First you want to simplify both of them. To do this on 4[tex]\sqrt{30^{2} }[/tex] you can just cancel out the square and the square root to get 4 x 30 which is 120. Now you simplify 3[tex]\sqrt{20x}[/tex] you do this by splitting the radical into 2 radicals. So you want to take out a perfect square which in this case is [tex]\sqrt{4}[/tex] and you have [tex]\sqrt{5x}[/tex] left over. This brings us to 120 x 3 x 2 (2 is the square root of 4) [tex]\sqrt{5x}[/tex]. Now multiply 120 x 3 x 2 and get 720[tex]\sqrt{5x}[/tex].
NEED HELP PLEASE ASAP
Answer: 45?
Step-by-step explanation: because a perfect corner is 90 degrees so if you split that, you will get 45!
Find the value of x:
Answer:
x = 54°
Step-by-step explanation:
Since there are 180 degrees in a triangle, all you would do is add up the angles that you already have. In this case, you would do 64 + 62, which is 126. Then you would do 180 minus the sum of the other two degrees to find x. 180 - 126 = 54, so 54 is the value of x.
Hope this helps!!