express 10000 in Index form​

The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

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The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

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Answer:

The equation has infinitely many solutions.

Step-by-step explanation:

6(2y + 6) = 4(9+3y)

2y + 36 = 36 + 12y     ---->   should be 12y + 36 = 36 + 12y

12y = 12y correct

0 = 0  correct

The equation has no solution.   --->   should read "The equation has infinitely many solutions."​

Answer:

19.5 is the median

Step-by-step explanation:

count the amount of numbers presented and we have 6, the next decision differs on whether or not the amount is an even amount or odd, in this case it is an even number.  So divide your amount by 2 and we have 3.  Then count your first 3 numbers and on the third number you will need to find the average between the third and fourth number, so that would mean finding the number that is in the middle of these two numbers and we have 19.5.

Answer:

1. Complementary

2 Supplementary

Hope this helped!

Answer:

Angles that add up to 90: Complementary

Angles that add up to 180 degrees: Supplementary

Step-by-step explanation:

A measure of goodness of fit for the estimated regression equation is the residual standard error (RSE)

It is a measure of goodness of fit for the estimated regression equation. It measures the average amount that the response variable (y) deviates from the estimated regression line, in the units of the response variable.

The RSE is calculated as the square root of the sum of squared residuals divided by the degrees of freedom. A smaller RSE indicates a better fit of the regression line to the data.

It represents the proportion of the variation in the dependent variable that is explained by the independent variable(s) in the model. The value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the model to the data.

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Answer:

It can be written as

n= 35/18. Here n is the number of notebooks, 35 is the amount of money in dollars, and 18 is the cost of one calculator.

And hence he can buy 16.111 notebooks with 35$.

The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

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9514 1404 393

Answer:

  it cannot be proven

Explanation:

You cannot prove what isn't true.

We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.

The number of classes in the frequency table as represented in the task content is; 5.

It follows from the task content that the number of classes in the frequency table as given in the task content is to be determined.

By observation, the data representation in the task content is a group data representation and hence, the classes are as follows;

On this note, the number of classes in the frequency table as given in the task content is; 5.

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Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

The length of the third side is 4.

Given information:

A right-angled triangle is provided in the diagram.

So, as per the diagram,

The hypotenuse leg = √(97)

Opposite leg = 9

Let the length of the adjacent leg, which is the third side be x. By the Pythagorean theorem, we have:

x² + 9² = √(97)²

Simplifying the right side, we get:

x² + 81 = 97

Subtracting 81 from both sides, we get:

x² = 16

Apply square root property, we get,

x = +/- 4

Since the length of a side of a triangle must be positive, the length of the third side is 4.

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Answer:

60 degrees

Step-by-step explanation:

because it is an equilateral triangle

The number of aerobics classes that will cost the same for members and non-members is 5 classes.

The linear equation that represents the amount paid by members is:

membership fee + (amount per class x number of classes)

= $10 + ($3 x m)

= $10 + $3m

The linear equation that represents the amount paid by no-members is: (amount per class x number of classes)

$5 x m

= $5m

When the two costs are the same, the two equations would be equal:

$5m = $10 + $3m

$5 - $3m = $10

$2m = $10

m = $10 / $2

m = 5

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There is no solution in this case since the rank of `b` cannot be more than the rank of `a`. Therefore, since the rank of `a` is 3, the rank of `b` must also be 3, but this is not possible since `b` is a `2 × 3` matrix. Therefore, this case is also impossible.

To find the values of p and q, we must first determine the ranks of matrices `a` and `b`.We get that `a` is a 2 × 4 matrix and its rank is 2. Therefore, its row space is of dimension 2. So, `p` must have two elements in its row space, and the third element must be a linear combination of the other two. Let's say, `p` is `2 × 3`. Similarly, the column space of `b` must be of dimension 2.

The second column of `b` is 1 and the fourth column of `b` is `q`, so they must be linearly independent. Therefore, the third column of `b` must be a linear combination of the first two. Thus, we get q= - 2p - 4. To find the possible values of `p` and `q`, we must find a value of `p` such that the rank of the matrix `b` is 1, since the rank of `b` must be 2-1 = 1 in this case.(a) rank(a) = 1, rank(b) = 2

For the first case, we can simply make the first two rows of `b` identical. Let `p` be [2, 2, 0]. We obtain b as:[3 1 3][-4 -2 -4][2 2 0][4 2 4]Now, the rank of `b` is 1, since the third row is twice the first row, and thus, we have our solution: `p = [2, 2, 0]`, `q = - 2p - 4 = [-8, -8, 4]`.(b) rank(a) = 2, rank(b) = 2

There is no solution in this case since `b` is a `2 × 3` matrix, and its rank cannot be more than 2. Since the rank of `a` is 2, its row space and column space are of dimension 2, and thus, we cannot make the columns linearly independent by using the elements of the third column. Therefore, this case is impossible. (c) rank(a) = 3, rank(b) = 2

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Answer:

devouring-swallow and cram down

absorbing-consume and ingest

process-procedure and operation

consumed- eat and devour

digesting-dissolve and assimilate

Step-by-step explanation:

Answer:

I cannot give you the answer because I need the table with the records.

Step-by-step explanation:

Answer:

The answer is 3/5

Step-by-step explanation:

try math caculators to help you with these questions thats where i go the solution from.

-Best of luck

The solution is, 76,000 mg chlorine is in the pool.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

The pool has 2.5 milligrams of chlorine per liter of water.

There are 8000 gallons of water in the swimming pool.

we know,

1 gallon = 3.785 liters

Water in pool = 8000 x 3.785

Water in pool = 30,280 liters

so, we get,

Chlorine dosage = 2.5 mg / liter

Chlorine = 2.5 x 30,280

Chlorine = 75,700 mg

To the nearest thousand milligram:

Chlorine = 76,000 mg

Hence, The solution is, 76,000 mg chlorine is in the pool.

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Answer:

  24.5 mi

Step-by-step explanation:

Each cm represents 9.8 miles, so 2.5 cm will represent a distance 2.5 times as far:

  (2.5)(9.8 mi) = 24.5 mi

From Old Faithful to West Thumb is 24.5 miles.

Answer:

Y=5/16x -3/4

Step-by-step explanation:

3/8 * 8/3y=(5/6x -2) *3/8

y=5/16x - 3/4

The standard form of the equation is  5x -16y = 2.

It is required to find the standard form.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

According to given question we have,

The least common multiple of the fraction denominators is 6. Multiplying by that gives

 16y = 5x -2

We can put this in standard form by adding 2-16y to both sides.

 5x -16y = 2

Therefore, the standard form of the equation is  5x -16y = 2.

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SOLUTION

Let us make a graph of the function

This is shown below

(a) The domain is usually determined from the x-axis. From the graph, the domain is all real numbers, that is, it is infinite for both positive and negative values for x, as you can see that if the graph is extended, there is no limit for x-values that it can contain. So the domain is (-infinity, infinity)

Hence the answer, Domain is

(-inf, inf)

(b)

In

Hence, the answer is -2

(c)

In

Hence, the answer is 1

(d)

In

Hence, the answer is -1

(e)

In

Hence, the answer is -3

\(3x = 39\)

\(x=39:3 \implies \bf x = 13\)

Answer:

-6

Step-by-step explanation:

-30÷5=-6

this is the ans

Answer:

Step-by-step explanation:

A-domain (-∞,∞)

B- Range(0,∞)  the range is the set of values tat correspond with the domain

C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1

D-the horizontal asymptote is x-axis y=0

E- the graph is always decreasing

F-it depend on the base

Answer:

The answer is 3x +y^3

Step-by-step explanation:

I hope this helps

Answer:

ew math yuck

Step-by-step explanation:

Answer:

hope this helps you out good luck with your math

Answer:

-4

Step-by-step explanation:

To find the x-coordinate of the vertex of a parabola given its x-intercepts, find the average of the x-intercepts:

x-coordinate of the vertex = \(\frac{x_1+x_2}{2}\) (where \(x_1\) and \(x_2\) are the x-intercepts)

Plug in the x-intercepts 13 and -21

\(\frac{13+(-21)}{2}\\= \frac{13-21}{2}\\= \frac{-8}{2}\\=-4\)

Therefore, the x-coordinate of the vertex is -4.

I hope this helps!

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Answer: 129

Step-by-step explanation: 180-51

Answer:

129.

Step-by-step explanation:

it's 129 believe me

the answer is your retarted bro