According to Experian, the average credit score for residents of South Dakota is 700. Suppose the standard deviation for this population is 46.1. A random sample of 60 South Dakota residents has been selected. The standard error of the mean for this sample is ________. 1.96 3.28 5.95 8.44

Answer:

The answer is A. $5.10

Step-by-step explanation:

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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21.80 pounds of fat is made up in the weight.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

Number of pounds = 12.6% of 173

Number of pounds = (12.6/100) x 173

Number of pounds = 21.80 (to the nearest tenth)

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Answer:

How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.

I count on the best

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

The expression is equivalent to the 360\(k^2\) - 48k

Given the Expression :
8k5∙9k−2(6k2)2

It means

(8k × 5) × 9k - 2(6k × 2) × 2

Now, Multiply the monomials

360\(k^2\) - 2(6k × 2) × 2

Again, Multiply the monomials,

= 360\(k^2\) - 48k

Hence, The expression is equivalent to the 360\(k^2\) - 48k

What is Monomial ?

A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with an single term but can have multiple variable and a higher degree too.

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Answer:

  y = 3/4x +1/4

Step-by-step explanation:

Counting grid squares between the marked points, we find the point on the right is 6 units up and 8 units right of the one on the left. That means the slope of the line is ...

  m = rise/run = 6/8 = 3/4

The y-intercept can be found from the slope and one of the points. The coordinates of the point on the left are (x, y) = (-3, -2), so we have ...

  b = y -mx

  b = -2 -(3/4)(-3) = -2 +9/4 = 1/4

Then the equation of the line is ...

  y = mx +b

  y = 3/4x +1/4

Answer:

Step-by-step explanation:

150 km ≤ river length < 155 km

its 150

Answer:

151 - 154 km

Step-by-step explanation:

when rounded to the hundreds 150 rounded up is 200 . But if you round the number to the nearest 10 and it is 150 then it has to be 150 or above in order for it to go to 100. But for it to be rounded to the nearest 10 of 150 it needs to be less than 155 or else it gets rounded up to 160. So then you get a range of answers from 151 - 154. Most likely it will be 150 km or maybe even 154 km.

Answer:

awosme dude

Step-by-step explanation: ok so it is 0.10

Answer:

67/100

Step-by-step explanation:

Percent means out of 100.

67% = 67/100

Answer:

67/100

Step-by-step explanation:

Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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For each paintball gun, the speed and rate of acceleration is described as follows;

A) For tyler's paintball;

First 1 second; Speed is increasing and acceleration is also increasing.

From 1 second to 5 seconds; Speed was constant and there was no acceleration.

B) For Bree's paintball;

First Second; Speed is increasing and acceleration is also increasing.

From 1 second to 5 seconds; Speed was increasing and acceleration was also increasing.

Looking at the graph, the speed is on the y-axis while the time is on the x-axis.

This means acceleration here was; a = speed/time = 450/1 = 450 m/s²

Thus paintball was speeding up while rate of acceleration was increasing for the first 1 second of the motion.

From this 1 second to 5 seconds, the speed was constant at 450 m/s.

This means there is no acceleration since speed is constant

This means acceleration here was; a = speed/time = 450/1 = 450 m/s²

Thus paintball was speeding up while rate of acceleration was increasing for the first 1 second of the motion.

From this 1 second to 5 seconds, the speed is gradually increasing from 450 m/s to 700 m/s. Thus, acceleration will also be increasing as well.

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Answer:

a= 0

b= \(-\frac{\sqrt{42} }{12}\)

Step-by-step explanation:

We can rewrite the expression to be:

\(\frac{i\sqrt{7} }{i^{2}\sqrt{24} }\)

We then can cancel out the i and we get

\(\frac{\sqrt{7} }{\sqrt{24} i}\)

Can be rewritten as

\(\frac{\sqrt{7} }{2\sqrt{6} i}\)

We then rationalize and get

\(-\frac{\sqrt{42} }{12} i\)

Answer:

Option A and B

Step-by-step explanation:

change in pounds lifted per day?

Initial amount of pounds weighted on day 0

Answer:

☑ y-intercept

Step-by-step explanation:

» Considering the general linear equation:

\( \hookrightarrow \: { \tt{y = mx + c}}\)

» Then back to our question, compare the both equations;

\({ \tt{y ={ \green{ m}}x + { \green{c}} }}\\ \downarrow \\ { \tt{y = { \green{0.23}}x + { \green{225}}}}\)

[ In some proportional equations, 225 can be an additional constant ]

Answer:

10,000,000 cubic meters

For every 1 kilometer it is 1000 meters. Hence 10,000 times 1,000 equals 10,000,000.

a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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The inequality of the solution is  x   >   15.

Make use of the following procedures to solve an inequality:

We need to eliminate the coefficient that multiplies the variable in this linear inequality in order to isolate it.

By dividing both sides by 4, this may be done.

The inequality of  the solution is

  4x≥60.

=\(\frac{4x}{4} \geq\frac{60}{4} \\\\= \frac{x}{1} \geq 15\\\\x\geq 15\)

The inequality of the solution is  x   >   15.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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the correlation coefficient of X and Y is Cov ( X, Y ) = 1/2

X = Number of heads in the first 20 flips

Y = Number of heads in the last 20 flips

Given that X and Y are binomial variables hence

P( probability ) = 1/2

Find Cov( X; Y )

xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4+....x20

yj = result of the  jth flip ∴ Y = y3 + y4 + y5 + y6+ ....x20

covariance of  xi and yi = 1/2 * 1/2 = 1/4   when i = j  and it is = 0 when i ≠ j

hence Cov( X; Y ) can be expressed as

Cov( X; Y ) = ∑^4 ∑^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2  (  given that i = j )  

Hence he correlation coefficient of X and Y is Cov ( X, Y ) = 1/2

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Answer: 31

Step-by-step explanation:

assuming lines DE and FG are parallel, <jcg and <DAL are alternate exterior angles, so they are congruent.

<DAK is 90

so the measure of <x=90-59

x=31

Answer: Total visitors =1500

Step-by-step explanation:

By rounding off each no. nearest to 100 is :

185=200, 349=300, 107=100, 355= 400. 451= 500

By adding round off  no. i.e.200+300+100+400+500= 1500

So total no. of visitors were 1500

Answer:

the solution to the differential equation is:

y + (1/3)y^3 = e^x + 1/3.

Step-by-step explanation:

We can use the equation e^x=(1/(1+y^2))dy/dx to solve this differential equation using separation of variables.

First, we can rewrite the equation as:

(1+y^2)dy = e^x dx

Next, we can separate the variables:

(1+y^2)dy = e^x dx

∫ (1+y^2)dy = ∫ e^x dx

y + (1/3)y^3 = e^x + C

where C is the constant of integration.

Now we can use the initial condition to solve for C. Let's say the initial condition is y(0) = 1, then we have:

1 + (1/3)(1)^3 = e^0 + C

4/3 = 1 + C

C = 1/3

Therefore, the solution to the differential equation is:

y + (1/3)y^3 = e^x + 1/3.

Answer:

15,910

Step-by-step explanation:

(390*26)+5770=15910

On solving the provided question, we cans ay that in the equation 390t + 5770, In the year 2021, the total average credit card debt for a U.S.

household will be 5,910 dollars.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

in the equation 390t + 5770

t = 26

In the year 2021, the total average credit card debt for a U.S.

household will be 5,910 dollars.

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Answer:

46%

Step-by-step explanation:

Answer:

46%

Step-by-step explanation:

Hope it helps

if it does make me the brainliest pls

Answer:

  First "order of operations" mistake: step 2

  First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

  \(\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}\)

for x = -1 and y = 2.

Her work seems to be ...

Step 1

  \(\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}\)

Step 2

  \(\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}\)

Step 3

  \(\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}\)

Step 4

  \(\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}\)

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

  \(\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}\)

__

We expect your answer is supposed to be Step 4.

Answer:

D.

Step-by-step explanation:

Answer: If by m you mean meters and not a variable, then you get 4 for the length of the sides. If you mean m as a variable, then the answer is 2m

Step-by-step explanation: First simplify the equation by squaring 4. This gives you the area, which is 16. Then take the square root of 16 to get the area, which is 4. If m is a variable in the equation then you must take the square root of  (4m^2) and the answer you get for the side length you get is 2m

Answer:

y=−x2+8x−7

Step-by-step explanation: