HELP!!!!!!
whats the scientific notation of 30 x 10 to the power of -8

Answer:

x = -b/a

Step-by-step explanation:

ax+b = 0

Subtract b from each side

ax+b-b=0-b

ax = -b

Divide each side by a

ax/a = -b/a

x = -b/a

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

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9514 1404 393

Answer:

Step-by-step explanation:

A ray is named by naming its end point and one other point on the ray. Here, the ray can be named IL or IR, using end point I and either of points L or R to complete the name.

Answer:

h = 2\(\sqrt{3}\)

b = 3\(\sqrt{2}\)

Step-by-step explanation:

to find 'h' we can use the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : \(\sqrt{3}\) : 2

so we can set up this proportion:

h/2 = 1/\(\sqrt{3}\)

cross-multiply:

h = 2\(\sqrt{3}\)

to find 'b' we can use the ratio of sides in a 45-45-90° triangle which, respectively, is 1 : 1 : \(\sqrt{2}\)

we can set up this proportion:

3/b = 1/\(\sqrt{2}\)

cross-multiply:

b = 3\(\sqrt{2}\)

sinθ is equal to the division of the opposite side of the reference angle (θ) by the hypotenuse.

the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse

tan30 = h/2

\(tan30 = \frac{1}{ \sqrt{3} } \)

1/sqrt3 = h/2

\(h = \frac{2}{ \sqrt{3} } \)

sin45 = 3/b

\(sin45 = \frac{1}{ \sqrt{2} } \)

1/sqrt2 = 3/b

b/sqrt2 =3

\(b = 3 \sqrt{2} \)

The definite integral is \(& \frac{243}{5}(\ln 3)^2-\frac{2}{5}\left[\ln 3\left(\frac{243}{5}\right)-\frac{243}{25}\right]-\frac{2}{125}\).

The integral is \($\int_1^3 x^4(\ln x)^2 d x$\)

First evaluate indefinite integral, \($\int x^4(\ln x)^2 d x$\)

The definite integral of a real-valued function f(x) with respect to a real variable x on an interval [a, b] is expressed as \(\int_a^b f(x) d x=F(b)-F(a)\)

Here,

∫ = Integration symbol

a = Lower limit

b = Upper limit

f(x) = Integrand

dx = Integrating agent

Thus, ∫ab f(x) dx is read as the definite integral of f(x) with respect to dx from a to b.

Indefinite integrals are implemented when the boundaries of the integrand are not specified.

Use integration by parts:

\($\int u d v=u v-\int v d u$\)

Let \($u=(\ln x)^2$\) and \($a v=x^4 d x$\)

This implies \($d u=\frac{2(\ln x)}{x} d x$\) and \($v=\int x^4 d x=\frac{x^5}{5}$\)

Equation (1) becomes,

\($$\begin{aligned}& \int x^4(\ln x)^2 d x=(\ln x)^2 \frac{x^5}{5}-\int \frac{x^5}{5} \times \frac{2(\ln x)}{x} d x \\& \int x^4(\ln x)^2 d x=(\ln x)^2 \frac{x^5}{5}-\frac{2}{5} \int x^4 \ln x d x\end{aligned}$$\)

Again, use integration by parts to evaluate \($\int x^4 \ln x d x$\)

Let \($u=\ln x, d v=x^4 d x$\)

This implies \($d u=\frac{1}{x}$\) and  \($v=\int x^4 d x=\frac{x^5}{5}$\)

Let \($u=\ln x, d v=x^4 d x$\)

This implies \(d u=\frac{1}{x}$\) and \($v=\int x^4 d x=\frac{x^5}{5}$\)

\($$\begin{aligned}\int x^4 \ln x d x & =\ln x\left(\frac{x^5}{5}\right)-\int\left(\frac{x^5}{5}\right) \frac{1}{x} d x \quad \text { since } \int u d v=u v-\int u d u \\& =\ln x\left(\frac{x^5}{5}\right)-\frac{1}{5} \int x^4 d x \\& =\ln x\left(\frac{x^5}{5}\right)-\frac{x^5}{25}\end{aligned}$$\)

From equation (2),

\($$\int x^4(\ln x)^2 d x=(\ln x)^2 \frac{x^5}{5}-\frac{2}{5}\left[\ln x\left(\frac{x^5}{5}\right)-\frac{x^5}{25}\right]$$\)

The required definite integral is,

\($$\begin{aligned}\int_1^3 x^4(\ln x)^2 d x & =\left[(\ln x)^2 \frac{x^5}{5}-\frac{2}{5}\left[\ln x\left(\frac{x^5}{5}\right)-\frac{x^5}{25}\right]\right]^3 \\& =\left[(\ln 3)^2 \frac{3^5}{5}-\frac{2}{5}\left[\ln 3\left(\frac{3^5}{5}\right)-\frac{3^5}{25}\right]\right]-\left[(\ln 1)^2 \frac{1^5}{5}-\frac{2}{5}\left[\ln 1\left(\frac{1^5}{5}\right)-\frac{1^5}{25}\right]\right] \\& =\frac{243}{5}(\ln 3)^2-\frac{2}{5}\left[\ln 3\left(\frac{243}{5}\right)-\frac{243}{25}\right]-\frac{2}{125}\end{aligned}$$\)

Therefore, the required definite integral is \(& =\frac{243}{5}(\ln 3)^2-\frac{2}{5}\left[\ln 3\left(\frac{243}{5}\right)-\frac{243}{25}\right]-\frac{2}{125}\).

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Answer:

2.m=1/2

Step-by-step explanation:

1 and 3 don't make sense but hope this helps and can i have brainiest pls?

Answer:

0.1

Step-by-step explanation:

27.4 x 0.1 = 2.74

The process of finding the p-value in a hypothesis test for the difference between two population means can be explained, given that the populations are normally distributed with unknown but equal variances.

1. Conduct the hypothesis test using either the t-test or z-test depending on the sample size and available information.
2. Calculate the test statistic (either t or z) using the sample means, sample sizes, and pooled variance.
3. Determine the degrees of freedom (df) for a t-test, which is calculated as (n1 - 1) + (n2 - 1), where n1 and n2 are the sample sizes.
4. Decide whether the test is one-tailed or two-tailed, based on the alternative hypothesis.
5. Use the test statistic and degrees of freedom (for t-test) to find the p-value from the appropriate distribution table (t-distribution or standard normal distribution).

Once you have the p-value, you can compare it with your chosen significance level (α) to decide whether to reject or fail to reject the null hypothesis.

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The statement which, "backs" value-of-money in United-States is (b) acceptability of it as medium-of-exchange.

The value of money in United-States is primarily backed by acceptability of it as a medium-of-exchange. Money functions as a widely accepted means of payment for goods and services, and people have confidence in its ability to be exchanged for goods, services, and other assets.

This acceptability is based on the trust and faith that individuals and businesses have in the currency and the stability of the economic system it represents.

The other options do not directly back the value of money in the United States.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Which of the following "backs" the value of money in the United States?

(a) The gold stored in the Federal Reserve Bank of New York

(b) The acceptability of it as a medium of exchange

(c) The willingness of foreign government to hold U.S. dollars

(d) The size of the budget surplus in the U.S. government.

Answer:

3 and 4

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size so here reducing a photograph to half its dimensions and enlarging a photograph to double the dimensions is dilation.

=> For dilation, we use a certain scale factor

=> In the 3rd option, scale factor is 1/2

=> In the 4th option, scale factor is 2.

Answer:

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

60162.3214286

Step-by-step explanation:

that's just what my calculator said

This table is an example of exponential growth.

The equation that represents this exponential growth is y = 2ˣ.

Exponential growth is characterized by an equation of the form y = bˣ, where b is a positive constant.

This table is an example of exponential growth.

This is because the y-values are increasing exponentially as the x-values increase.

The equation that represents this exponential growth is y = 2ˣ.

This can be seen by the fact that the y-values are equal to 2ˣ, where x is the corresponding x-value.

When x = 0, y = 2⁰ = 2.

When x = 1, y = 2¹ = 6.

When x = 2, y = 2² = 18.

When x = 3, y = 2³ = 54.

And finally, when x = 4, y = 2⁴ = 162.

Here, b = 2.

Exponential growth is different from linear and quadratic growth in that the rate of increase is not constant; instead, it increases as the x-values increase.

This is because the exponent in the equation increases as the x-values increase. This is why the y-values increase exponentially as the x-values increase.

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In a curvilinear regression model, the squared term of the predictor variable represents the curvilinear effect.

In a curvilinear regression model, the relationship between the predictor variable and the response variable is not linear but exhibits a curvilinear pattern. To capture this non-linear relationship, the model includes a squared term of the predictor variable.

The squared term of the predictor variable allows the regression model to account for both the linear and curvilinear components of the relationship.

It introduces a curvilinear effect by capturing the curvature or non-linear pattern observed in the data. This squared term enables the model to better fit the data points that deviate from a simple linear relationship.

By including the squared term in the curvilinear regression model, the relationship between the predictor and response variables can be characterized by a more flexible curve, allowing for a better representation of the underlying relationship

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Answer:

A is the answer 456% and 512%

Step-by-step explanation:

Percent Errors

Trial A

Trial B

Measured Value

240

195

Actual Value

200

240

Percent Error

​?

​?

Complete the table.

Percent Errors

Trial A

Trial B

Measured Value

240

195

Actual Value

200

240

Percent Error

440440​%

435435​%

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Gets Narrow, and opens opposite direction

the formula Xk = 3^(k-1) holds for all positive integers k, and the nth term of the sequence is Xn = 3^(n-1).

We are given the recursive sequence:

Xk = 3Xk-1, for all integers k ≥ 2

X1 = 1

To find the first few terms of this sequence, we can use the recursive formula repeatedly, starting with X1:

X1 = 1

X2 = 3X1 = 3(1) = 3

X3 = 3X2 = 3(3) = 9

X4 = 3X3 = 3(9) = 27

X5 = 3X4 = 3(27) = 81

So the first five terms of the sequence are: 1, 3, 9, 27, 81.

We can also find a general formula for the nth term of the sequence using mathematical induction.

Base case: n = 1

X1 = 1

Assumption: Suppose the formula Xk = 3^(k-1) holds for some positive integer k.

Induction step: We need to show that the formula Xk+1 = 3^k holds.

Using the recursive formula, we have:

Xk+1 = 3Xk

= 3(3^(k-1)) (by assumption)

= 3^k

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Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

When a transversal cuts two parallel lines, 8 angles are created.

When two lines do not cross one another, they are said to be parallel. In addition, parallel lines are two lines that cross each other at infinity.

A transversal line is one that crosses two other lines at two different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.

Corresponding angles are those that are created when two parallel lines and a transversal intersect, also known as matching corners or corresponding corners.

∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

The pair of angles that are created on the outer side of two lines but on the other side of the transversal are known as alternate exterior angles.

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

When a transversal cuts two parallel lines, 8 angles are created.

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∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

Answer:

65 degrees

Step-by-step explanation:

It is an isosceles triangle, because two sides are equivalent. The only way both equivalent sides share a point is if that point (Q) is in the middle. The measure is 50 degrees. A triangle = 180 degrees. In an isosceles triangle, the two angles below the two equivalent sides must be equal.

180 - 50 = 130

130 / 2 = 65

Both angles that are not Q equal 65 degrees. And P is one of them.

:)

Answer:

65 degrees I believe

Step-by-step explanation:

Math skillz xD lol

To be greater than a negative number, negative values need to be smaller as they get closer to zero.

The answer would be B) -5, -4.5, -3

Answer:

B

Step-by-step explanation:

This is because you could have a number greater of equal to -5, since b is the only one that has that it makes it true.

Answer:

Step-by-step explanation:

Triangles EFG and FGH are similar.

x/15 = 36/39

x/15 = 12/13

x = 15*12/13 = 180/13 ≈ 13.8 units

The required measure of x is given as 5.8 in the given triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Similar triangles are triangle that has a relationship as of some scale factor.

here,
From the figure,
From triangle GHF and triangle EGF
x / 15 = 15 / 39
x = 225 / 39
x = 5.8

Thus, the required measure of x is given as 5.8 in the given triangle.

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Answer:

15

Step-by-step explanation:

Answer:

yes the answer Is A

Step-by-step explanation:

all you have to do is add and subtract

Answer:

multiply each number in sequence from that number to 1

Answer:

C.Multiply each number in sequence from that number to 1.

Step-by-step explanation:

Answer:

hannah is 47 and Anthony is 45

Step-by-step explanation:

Sum= 92= a+(a+1)

sum= 45+(46+1)

sum= 45+47

sum= 92

Answer: C

Step-by-step explanation:

(-3x + 9i) (x + 3i)

-3x^2 - 9ix + 9ix - 27

-3x^2 - 27

So, the answer is C

The percentage of items will weight between 7.2 and 10.1 ounces is 89.29%

The mean of the weight in ounces = 9

The standard deviation of weights in ounces = 2

The percentage of items which will weigh between 7.2 and 10.1 can be calculated by normal distribution method,

                            P(7.2 < x < 10.1)

Let us find the standard form for these sample values using the formula,

                                  Z =(X - μ) / σ

where Z is the standard form

          X is the random sample

          μ is the mean

          σ is the standard deviation.

For x = 7.2 ,

                 Z = (7.2 - 9) / 2

                    = -1.8 / 2

                   = -0.9

For x = 10.1

                  Z = (10.1 - 9) / 2

                     = 1.1 / 2

                     = 0.55

Therefore P(7.2 < x < 10.1) = P(-0.9 < z < 0.55)

                                           = P(-0.9 < z < 0) + P(0 < z < 0.55)

By using z-table , we can get the values of the z,

                       P(-0.9 < z < 0.55) = 0.18406 + 0.7088  

                                                    = 0.89286

Therefore , the percentage of items will weight between 7.2 and 10.1

                                      = 0.89286 x 100

                                      = 89.29 %

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Answer:

Happy to help!

Answer:

C

Step-by-step explanation: