Give the intersection points of y=x the power of 5 and y=x the power of 7?

Answer: x = 7, y = -3

Step-by-step explanation:

2x - y = 17

x - y = 10 —> x = y + 10

2(y + 10) - y = 17

2y + 20 - y = 17

y + 20 = 17

-20 -20

y = -3

x = y + 10

x = (-3) + 10

x = 7

Answer:

Total no of bracelets = 5s+28

Step-by-step explanation:

Let Sarah made s bracelets.

Maria made 7 more than Sarah i.e. 7+s

Julie made 3 times as many as Maria i.e. 3(7+s)

Total no of bracelets made is equal to the sum of the bracelets made by Sarah, Maria and Julie.

Total = s+ 7 + s + 3(7+s)

= 2s+7+21+3s

=2s+3s+21+7

= 5s+28

So, there are (5s+28) bracelets.

Answer:

9 9/25

Step-by-step explanation:

234/25 = 9 9/25

Answer:

the answer is 9 9/25

Step-by-step explanation:

Answer:

45 in

Step-by-step explanation:

8/30 = 12/x

(30*12)/8 = 360/8

= 45 in

Answer:

\(25ab {c}^{2} - 15 {a}^{2} {b}^{2} c \\ = 5abc(5c -3ab)\)

is the right answer.

The MSE for the regression models developed in parts (b) and (d) is Ŷ = 5.10 + 0.83X

Let's assume that the dependent variable in both models is denoted by Y, and the independent variable is denoted by X. The regression model developed in part (b) is expressed as:

Y = 5.10 + 0.83X

The regression model developed in part (d) is expressed as:

Y = 4.90 + 0.89X + 0.012X²

To calculate the MSE for the model developed in part (b), we need to first calculate the predicted values of Y using the equation:

Ŷ = 5.10 + 0.83X

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (b).

Similarly, to calculate the MSE for the model developed in part (d), we need to first calculate the predicted values of Y using the equation:

Ŷ = 4.90 + 0.89X + 0.012X^2

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (d).

After calculating the MSE for both models, we can compare them to determine which model is more effective. A lower MSE indicates that the model is more accurate in predicting the dependent variable.

Therefore, the model developed in either part (b) or (d) with the lower MSE is considered to be more effective.

To know more about regression model here

https://brainly.com/question/14184702

#SPJ4

Answer:

Step-by-step explanation:

Let the scale factor is k.

Then the transformation is:

We have:

The scale factor is k = 12, find the value of a:

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer:

Step-by-step explanation:

Answer:

\(P(E) = \frac{1}{4}\)

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Total number of cards = 52

Number of hearts = 13

P(E) = Number of favorable outcomes / Total number of outcomes

= Number of hearts / Total number of cards

= \(\frac{13}{52}\)

= \(\frac{1}{4}\)

Therefore,

\(P(E) = \frac{1}{4}\)

Answer:

\(\frac{7}{15}\)

Step-by-step explanation:

Given

\(\frac{16-4(5)}{2(6)+8}\) + \(\frac{2}{3}\)

= \(\frac{16-20}{12+8}\) + \(\frac{2}{3}\)

= \(\frac{-4}{20}\) + \(\frac{2}{3}\)

= - \(\frac{1}{5}\) + \(\frac{2}{3}\)

We require the fractions to have a common denominator of 15

Multiply the numerator/ denominator of - \(\frac{1}{5}\) by 3 and

Multiply the numerator/ denominator of \(\frac{2}{3}\) by 5

= - \(\frac{3}{15}\) + \(\frac{10}{15}\)

= \(\frac{7}{15}\)

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

To know more about parallelepiped, visit:

https://brainly.com/question/30627222

#SPJ11

Answer:

C!!!

Step-by-step explanation:

<3

Answer:

Step-by-step explanation:

General equation of circle with center at (0, 0) : x² + y² = r²

x² + y² = 56.25

x² + y² = 7.5²

Radius = 7.5 units

Center (0 , 0)

Using combination formula , total 987 ways or outcomes are possible /involve atleast 8 heads.

We have given that, a coin is tossed 10 times .

total possble outcomes = 2¹⁰ = 1024

here, the chances of occurrence of tail and heads and equal so, this is independent event .

we want to calculate total numbers of possble wats atleast 8 heads occurs .

At least 8 heads means exactly two toss gives Tail as a result.

here we count sequences with exactly 8 heads, and also count sequences with more than three heads. We could compute this by equivalent, by subtracting from 1025 the number of sequences with no head, only one head, and only 2 heads

= 1024 - ⁸C₀ ( + ⁸C₁ + ⁸C₂ )

= 1024 - ( 1+8+28) = 1024 - 37

= 987

Hence , 987 outcomes involve atleast 8 heads.

To learn more about Combination formula, refer:

https://brainly.com/question/4658834

#SPJ4

Answer:

x=1 or x=-2/3

Step-by-step explanation:

A ratio describes a relationship between two or more quantities. When mixing colors, ratios are often used to determine the ratio of different colors required to achieve a desired hue. Ratios can be expressed in 1:, 2:3,.. etc.

Ratios affect the appearance of paint colors. In this scenario, Can A has a higher percentage of red than can B. This means that the shade of pink you get with Can A is likely to be darker and more red due to the higher concentration of red.

Can B, on the other hand, has a lower percentage of red, suggesting that the resulting pink hue is lighter and less red than can A.  

To learn more about Ratio:

https://brainly.com/question/802146

#SPJ4

To convert the system of second-order differential equations, we can define new variables u, v, and w such that u = x', v = y', and w = z'. Then, we can rewrite the system as a system of first-order differential equations:

u' = x'' = 3x - y^2z
v' = y'' = xy - 4z
w' = z'' = 5x - y - z

Therefore, the converted system of first-order differential equations is:

x' = u
u' = 3x - y^2z
y' = v
v' = xy - 4z
z' = w
w' = 5x - y - z
To convert the given system of second-order differential equations into a system of first-order differential equations, we'll introduce new variables and their corresponding first-order derivatives.

Let's define new variables:
1. u = x'
2. v = y'
3. w = z'

Now, we can rewrite the second-order differential equations as first-order differential equations:
1. u' = x'' = 3x - y + 2z
2. v' = y'' = x + y - 4z
3. w' = z'' = 5x - y - z

Finally, we can write the entire system of first-order differential equations as:
1. x' = u
2. y' = v
3. z' = w
4. u' = 3x - y + 2z
5. v' = x + y - 4z
6. w' = 5x - y - z

Now, we have successfully converted the system of second-order differential equations into a system of first-order differential equations.

Learn more about differential  here:-  brainly.com/question/31495179.

#SPJ11

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

Learn more about Calories:

https://brainly.com/question/17078881

#SPJ4

Answer:

(11, 0)

Step-by-step explanation:

to find the y intercept, set y to 0.

60x + 55y = 660

60x + 55 * 0 = 660

60x = 660

60x/60 = 660/60

x = 11

y intercept is (11, 0)

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

To know more about normal distribution  visit :

https://brainly.com/question/23418254

#SPJ11

Given that the number of angry people=12 and the number of chill peoples=8.

The total number of peoples=The number of angry people + the number of chill people.

The total number of people in juries=12+8=20

Let A be an event that made 12 members of juries consists of 7 chill and 5 angry people.

The probability of A =P(A)

Hence only one 12 member jury pool can be made that consist of 7 chill and 5 angry people.

Hence the answer is 1.

In the simultaneous equations the value of m is 3 and the equation have many solution.

The term called equation in math is known as a condition on a variable (or variables) such that two expressions in the variable have equal value.

Here we have know that the general solution is calculated as,

=> x = (m-5)/(m-3)

and

=> y = 2/(m-3)

When we equate the equations then we get,

=> (m - 5) / (m -3) = 2/(m - 3)

=> m - 5 = 2

=> m = 3

So this dependent system has infinitely many solutions.

When m=3 the equations become look like 3x+3y=5 and 5x+5y=3.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

The total Number of ways to select five students out of 11 boys and 18 girls will be=104642

We have, total number of boys = 11, while the total number of girls = 18

Let us assume that,

X = total number of boys chosen

As it is given,

P(X>=4)=1

-P(X<=3)

Where, P(at most 3 boys are chosen) needs to be found out

As we know,

Here, the total number of ways to get at most 3 boys= Number of ways to get three boys and two girls + number of ways to get one boy and four girls + Number of ways to get two boys and three girls + Number of ways to get zero boys and five girls

Making the combination as per above arrangements:

We will get it as:

=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5

As we know,

The formula of combination is:

\($${ }_n C_r=\frac{n !}{r !(n-r) !}$$\)

\(${ }_n C_r=$\) number of combinations

n= total number of objects in the set

r= number of choosing objects from the set

So, applying the concept of combination in the above,

=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5

\(= \frac{11!}{8! \times 3!} \times \frac{18!}{16! \times 2!}+\frac{11!}{9! \times 2!} \times \frac{18!}{15! \times 3!}+\frac{11!}{10! \times 1!} \times \frac{18!}{14! \times 4!}+\frac{11!}{11! \times 0!} \times \frac{18!}{13! \times 5!}\)

\([\frac{11 \times 10\times9\times8! }{8!\times 6} \times \frac{18\times17\times16!}{16!\times2}]+[\frac{11\times10\times9!}{9!\times2} \times \frac{18\times17\times16\times15!}{15!\times6}]+[\frac{11\times10!}{10!} \times \frac{18\times17\times16\times15\times14!}{14!\times24}]+[\frac{1}{1} \times \frac{18\times17\times16\times15\times14\times13!}{13!\times120}]\)

\(=(165 \times153)+(55\times816)+(11\times3060)+(1\times856.8)\)

=25245+44880+33660+856.8

=104641.8 = 104642 (approx)

For more questions on Permutation and Combination

https://brainly.com/question/1216161

#SPJ4

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

To know more about the solving equations, refer here:

https://brainly.com/question/14410653#

#SPJ11

The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .

As stated in the assertion

The sample n has been provided, and we need to determine the sample's standard deviation.

For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.

The value of alpha is given as,

alpha = 1.6.

Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and

s = alpha/ 90 s

= 1.6/9.48 s

= 0.168

Therefore, 0.168 is the x distribution's standard deviation.

To learn more about standard deviation

brainly.com/question/475676

#SPJ4

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

To learn more about probability :

https://brainly.com/question/30034780

#SPJ4

The length (in cm) of an arc of a circle 5π

60°=π/3 radians

A unit circle's arc length is expressed in radians.

We may get the length of an arc using the following formula given an angle and a circle's diameter: ArcLength = (angle / 360) * (2 * pi * radius) Pi equals 22/7, diameter equals 2 * radius, and angle is in degrees.

If a unit circle's arc length is π/3,

(that is a circle with a radius of 1)

For a circle with a radius of 15, the arc length for the same angle would be

X15xπ/3

=5π

Know more about arc of a circle

https://brainly.com/question/17353325

#SPJ4

By using the concept of Arithmetic Progression(A.P.), the 60th person who is entering the stadium will be able to win baseball hat and t-shirt both.

Arithmetic progression is all about those terms which are maintaining a constant common difference with their corresponding surrounding elements.

So, the person who wins baseball hat is every 12th person means multiples of 12->12,24,36,48,60

Similarly, the person who wins t-shirt only is every 15th person means multiples of 15=15,30,45,60,75

We can clearly see that 60th person will be able to win both t-shirt and baseball. Means when 59 persons already entered the stadium, the next person will be able to win both t-shirt and baseball hat.

Hence, 60th person is the first person who is entering the stadium will be able to win both baseball hat and t-shirt.

To know more about Arithmetic Progression, visit here:

https://brainly.com/question/4371897

#SPJ4