i need a 67 help helpp

Answer:

The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra.

Works written: Meditations on First Philosophy

Professions: mathematician, philosopher

Parents: Jeanne Descartes

Inventions: Cartesian coordinate system

Step-by-step explanation:

Answer: y = -1/3(x + 1)² + 4

Step-by-step explanation:

First of all, we know that the graph is going to be a parabola

So we can start off with the parent function, y = x²

Using vertex form, y = a(x - h)² + k, where the vertex is point (h, k):

we have the formula: y = a(x + 1)² + 4

If the parabola must pass through the point (2,1), we can substitute these for x and y in our equation to find a, and finish the problem:

1 = a(2 + 1)² + 4

-3 = a(3)²

-3 = 9a

a = -1/3

based on this, our final formula will be y = -1/3(x + 1)² + 4

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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To solve this inequality, the left side can be divided by $2.50 and the value of x can be determined. The solution to this inequality is that Becky can afford to buy a maximum of 8 fish.$2.50x ≤ $20

$2.50x ≤ $20

The given situation is that Becky wants to buy some fish for her aquarium and she has $20 to spend and the cost of the fish is $2.50 each. To determine how many fish, x, Becky can afford to buy, an inequality can be written. Since the cost of each fish is $2.50, the total cost for buying x number of fish is $2.50x. To find out how many fish Becky can afford to buy, the inequality $2.50x ≤ $20 can be written. To solve this inequality, the left side can be divided by $2.50 and the value of x can be determined. The solution to this inequality is that Becky can afford to buy a maximum of 8 fish.

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Answer:

Yes you would know

Step-by-step explanation:

We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.

After this we calculate the interior angle of each side, and use our given 20m to calculate it.

Answer:

6 bags

Step-by-step explanation:

The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies. Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins. What is the greatest number of snack bags that Destiny can make? Answer: 6 bags

Answer: 6 snack bags

Step-by-step explanation:

In rder to know mnay bags destiny ca make, we need a number is a factor of 18 and 12, so that the 18 chocolate candy bars and the 12 cookies can be divided up evenly.

So, if there were 2 bags, thre would be 18÷2=9 chocolate candy bars and 12÷2=6 cookies in a bag. This creates identical snack bags, but isn't the greatest number of bags!

To find the greatest snack bag, we want to find the greatest common factor of 18 and 12

To do so, let's find factors of 18 ans 12

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

The greatest common factor of 18 and 12 is 6. in math notation this looks like:

gcf (18, 12) = 6

The greatest number of identical bags can make is 6

Answer:

Step-by-step explanation:

Area is the product of two dimensions.

If each dimension is doubled, then the area becomes 2*2 = 4 times greater.

If each face is 4 times greater, then their sum will be 4 times greater.

The sum of the faces is the total surface area, therefore the B's surface area is 4 times as great as A's surface area.

Step-by-step explanation:

p^(-5)  =  1 / p^5  =  1/14^5  = 1.859 x 10^-6

When conducting a t-test for independent means, the best way to reduce variance is to use a control group.

When conducting a t-test for independent means, the best way to reduce variance is to use a control group. Control groups can help reduce variance by ensuring that both groups are exposed to the same conditions, except for the variable being tested. By controlling for all other factors, researchers can isolate the impact of the variable under investigation, which in turn can reduce the variance in the results.

When conducting a t-test for independent means, a control group is typically used to test the effect of a particular treatment or intervention. The control group is exposed to the same conditions as the experimental group, except for the variable being tested. By ensuring that both groups are exposed to the same conditions, researchers can control for other factors that could affect the results of the test.

In conclusion, when conducting a t-test for independent means, the best way to reduce variance is to use a control group. The control group can help control for all other factors except for the variable being tested, which in turn can reduce variance in the results.

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Answer:

5 and - 2.5

Step-by-step explanation:

Note that consecutive terms have a common ratio, that is

- 40 ÷ 80 = 20 ÷ - 40 = - 10 ÷ 20 = - 0.5

This indicates that the sequence is geometric.

To find the next term in the sequence multiply the previous term by the common ratio, thus

- 10 × - 0.5 = 5

5 × - 0.5 = - 2.5

Answer:

B) 9/2

Step-by-step explanation:

18 yards would be 54 feet

54:12  Divide both numbers by 6

9:2

To calculate the percent of variance that age at first birth shares with highest grade completed, we can use the coefficient of determination (R-squared). R-squared measures the proportion of the total variance in one variable that can be explained by another variable.

First, we need to perform a regression analysis to obtain the R-squared value. This can be done using statistical software or tools like Excel or SPSS.

Once you have the R-squared value, you can interpret it as the percentage of variance that age at first birth shares with highest grade completed. For example, if the R-squared value is 0.5, it means that 50% of the variance in age at first birth can be explained by the highest grade completed.

In conclusion, the R-squared value obtained from the regression analysis will provide the percentage of variance that age at first birth shares with highest grade completed. The higher the R-squared value, the stronger the relationship between the two variables.

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Answer: 7 and 8

Step-by-step explanation:

Square root and squared cancel out

Answer:

a=7

b=32

Step-by-step explanation:

The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So (\(7^{1/2}\))^2 is 7.

For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.

Edit: Check on your calculator, you get the same answers I got! :)

Answer:

950

Step-by-step explanation:

854+96=950 I need more characters so ingnor this sentence.

The probability that in a group of 10 people , there is 1 who is left handed is 0.3874 .

In order to calculate the probability that in a group of 10 people there is one left-handed person, we use the binomial probability formula ,

⇒ P(X = k) = C(n,k) × \(p^{k}\) × \((1-p)^{n-k}\) ,

Where:

⇒ p is probability of success (in this case, the probability that a person is left-handed).

⇒ (1-p) is the probability of failure (in this case, the probability that a person is right-handed).

Using the values , We get ,

⇒ P(X = 1) = ¹⁰C₁ × 0.1¹ × (1-0.1)¹⁰⁻¹

⇒ P(X = 1) = 10 × 0.1 × 0.9⁹

⇒ P(X = 1) ≈ 0.3874

Therefore, the required probability is 0.3874 .

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The interest rate in this case is 0%.

To calculate the interest rate for a loan with a loan amount of $300, an advance amount of $160, a remaining amount to be paid of $140, and a time of 2 weeks, follow the steps below:

Step 1: Find the total amount paid

Total amount paid = Advance amount + Remaining amount to be paid

Total amount paid = $160 + $140Total amount paid = $300

Step 2: Find the interest

Interest = Total amount paid - Loan amount

Interest = $300 - $300

Interest = $0

Step 3: Find the interest rate

The interest rate is the percentage of the loan amount that has to be paid as interest.

Hence, the interest rate is 0%.

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Answer:

the answer is −28

Step-by-step explanation:

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60

The amount  that Athena will be charged for interest is $22.19

What is the meaning of APR of 16.99%?

The APR means an annual percentage rate, which means that the 16.99% is annual interest rate compounded monthly, hence, it needs to be divided by 12 in order to determine the equivalent monthly interest rate.

monthly interest rate=16.99%/12

monthly interest rate=0.0141583333333333

The monthly interest charged on the balance of $1,567.32 is computed thus:

monthly interest charged=$1,567.32*0.0141583333333333

monthly interest charged=$22.19

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Answer:

x = 5

∠L = 114°

∠ LMK  = 31°

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

In parallelogram, opposite angles are equal

∠L = ∠J

∠L = 114°

In ΔJKM,

∠J + ∠JKM +  ∠JMK = 180 {Angle sum property of triangle}

114 + ∠JKM  + 35 = 180

149 + ∠JKM  =180

∠JKM  = 180 - 149

∠JKM  = 31°

JK & ML are parallel and  KM is transversal

Therefore, ∠ LMK  = ∠JKM    { oppoiste interior angles are congruent}

                  ∠ LMK  = 31°

Answer:

x = 5

∠L = 114°

∠ LMK  = 31°

(a) To determine the complexity in terms of g(n) for the expression √(8n^2 + 2n) - 16, we need to simplify it and find the dominant term.

√(8n^2 + 2n) - 16 can be rewritten as √(8n^2) * √(1 + 1/(4n)) - 16.

Ignoring the constant terms and lower-order terms, we are left with √(8n^2) = 2n.

Therefore, the complexity of expression (a) can be represented as g(n) = O(n).

Now let's discuss the complexities of the other expressions without giving formal proofs:

(b) log(n³) + log(n²):

The logarithm of a product is the sum of the logarithms. So, this expression simplifies to log(n³ * n²) = log(n^5).

The complexity of this expression is g(n) = O(log n).

(c) 20 - 2^n + 3^n:

The exponential terms dominate in this expression. Therefore, the complexity is g(n) = O(3^n).

(d) 7n log n + 3n^15:

The dominant term here is 3n^15, as it grows much faster than 7n log n. So, the complexity is g(n) = O(n^15).

(e) (n+1)! + 2^n:

The factorial term (n+1)! grows faster than the exponential term 2^n. Therefore, the complexity is g(n) = O((n+1)!).

To summarize:

(a) g(n) = O(n)

(b) g(n) = O(log n)

(c) g(n) = O(3^n)

(d) g(n) = O(n^15)

(e) g(n) = O((n+1)!)

Please note that these are simplified complexity representations without formal proofs.

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The corresponding solutions of equations a, b, c and d are 3.35. 41.2, 7.36 and 613.2

a. 33.5 ÷ 10 = 3.35

b. 412 ÷ 10 = 41.2

c. 73.6 ÷ 10 = 73.6

d. 6,132 ÷ 10 = 613.2

When a number is divided by powers of 10, the decimal point moves to the left side by the number of places the power has  e.g

345 ÷ 10 = 34.5 (It moves one place to the left because the power of 10 is 1 i.e. 10 = 10²)

3456 ÷ 100 = 34.56 (It moves two places to the left because the power of 100 is 2 i.e. 10 = 10²)

Therefore, the solution of a, b, c and d are 3.35. 41.2, 7.36 and 613.2 respectively.

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2 Hours

this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.

hope this is helpful!

Answer:

What is the question??

Step-by-step explanation:

Answer:

They are zeroes when y=0

Step-by-step explanation:

For a function \(f(x)\), if \(f(x)=0\), the values of x that make the function true are known as roots, or x-intercepts, or zeroes.

Answer:

12 bottles for $9.

11 $8

9 $7

8 $6

7 $5

6 $4

5 $3

5 bottles for $3.

Yes, if the geometric multiplicity of each eigenvalue equals its algebraic multiplicity, then the matrix is diagonalizable.

1. Eigenvalues: Scalar values associated with a matrix that, when multiplied by a non-zero vector (eigenvector), only result in a scaled version of that vector.

2. Geometric multiplicity: The number of linearly independent eigenvectors associated with a specific eigenvalue.

3. Algebraic multiplicity: The number of times a specific eigenvalue appears as a root of the characteristic polynomial of the matrix.

4. Matrix diagonalizable: A matrix is diagonalizable if it can be transformed into a diagonal matrix through a similarity transformation (using an invertible matrix P).


A matrix is diagonalizable if and only if there are enough linearly independent eigenvectors to form a basis for the matrix's domain. This means that the sum of the geometric multiplicities of all eigenvalues must equal the dimension of the matrix. If the geometric multiplicity of each eigenvalue equals its algebraic multiplicity, it ensures that there are enough linearly independent eigenvectors to form a basis. Consequently, the matrix is diagonalizable.

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation: