Which statement is true?

Answer:

B. The​ t-distribution has less spread as the degrees of freedom increase​ because, as n​ increases, s becomes closer to sigma by the law of large numbers.

Step-by-step explanation:

The sample standard deviation, s gets considerably closer to the population standard deviation, σ, this trend follows the proposition of the law of large numbers whereby the mean or average value changes as the sample size, n increases. According to the law of large numbers, as the sample size increases, the sample mean gets continously closer to the population mean, sample standard deviation follows this same trend and thus variability or spread decreases as sample size increases.

The plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n​ increases, s becomes closer to by the law of large numbers. (Option B)

Note the following:

Therefore, the plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n​ increases, s becomes closer to by the law of large numbers. (Option B)

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Answer:

3.6 divided by 3 = 1.2 so 1.2 yards of material can be used on each skirt.

Step-by-step explanation:

Answer:

46.278cm

Step-by-step explanation:

(π+2)r

=πr+d

=9π+18=46.278cm

Answer:

[tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given numbers are :

0.30 cm and 0.42 cm

We need to find the ratio of the above whole numbers.

Taking 0.3 cm on the numerator and 0.42 cm on the denominator. So,

[tex]\dfrac{0.3}{0.42}=\dfrac{\dfrac{3}{10}}{\dfrac{42}{100}}\\\\=\dfrac{3}{10}\times \dfrac{100}{42}\\\\=\dfrac{10\times 3}{42}\\\\=\dfrac{10}{14}\\\\=\dfrac{5}{7}[/tex]

So, the required fraction is equal to [tex]\dfrac{5}{7}[/tex].

Answer:

part 1 : y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

part 2 : x^2 + 2x + 1 = 0

(x + 1)^2 = 0

x = -1

y = 1

task 2

part 1 : Let our two digit number be 26

Next, we rewrite it as a difference of two numbers

26=32-6

We want to square 26 using the identity:  

In this case,

x=32

y=6

Substituting into the identity

 plz make me brainliest

Answer:

8 miles

Step-by-step explanation:

Answer:

8 miles

Step-by-step explanation:

1 mile:63360 inches

506880 divided by 63360 = 8

Answer:

x=2, x=a

Step-by-step explanation:

(x -2) (x-a) = 0

(x-2)(x-a) = 0

x-2=0

x-2+2=0+2

x=2

x-a=0

x-a+a=0+a

x=a

Answer: 60 ounces of flour

Step-by-step explanation:

8•7.5=60

Answer:

It seems no one can eat just one potato ship

Step-by-step explanation:

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer:

180°

because x is the mid pf 0° and 360°

Answer:

11+13

Step-by-step explanation:

because of math boom

Answer:

x = 10 units

Step-by-step explanation:

By theorem,

Perpendicular drawn from the center to the chord of a circle, bisects the chord.

AB = BC = 6

In right triangle ΔCBD,

By applying Pythagoras theorem,

CD² = BC² + BD²

       = 6² + 8²

CD = [tex]\sqrt{36+64}[/tex]

     = 10

Since, CD and the side measuring x are the radii of the circle D.

x = CD = 10 units

Answer:

The exact value of the function for the given x-value is of -5.

Step-by-step explanation:

In this question, we compute the numeric value of the function f(x) for x = -1, that is, we replace every instance of x in the function by -1.

f(x) = 5x for x = -1

[tex]f(-1) = 5(-1) = -5[/tex]

The exact value of the function for the given x-value is of -5.

The original price of the play station is $620.

Given that, the cost of the play station=$558 and discount=10%.

We need to find the original price of the play station.

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for.

Let the original price be x.

Now, x-10% of x=558

⇒x-0.1x=558

⇒0.9x=558

⇒x=$620

Therefore, the original price of the play station is $620.

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Answer:

D. $234,000

Step-by-step explanation:

6% of $180,000 is $10,800

Multiply that times 5 years

$10,800x5=$54,000

add that value to the base price

$180,000+$54,000=$234,000

Answer:

7x=28

x = 4

x/9=3

x = 27

5x=125

x = 25

14=x÷2

x = 28

8x=40

x = 5

Answer:

You can use the ASA Postulate to prove the Angle-Angle-Side Congruence Theorem. A flow proof is shown below. If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Step-by-step explanation:

Hope it helps! Correct me if I am wrong!

I'm sure about my answer!

If you dont mind can you please mark me as brainlest?

Its ok if you don't want to!

9514 1404 393

Answer:

Step-by-step explanation:

1. In general, restrictions on rational functions refer to values of the variable that make the denominator zero. The function will be undefined in that case. On a graph, such a location will show up as a "hole" or a vertical asymptote.

__

2. If ±2 are excluded from the domain, we expect factors of (x-2)(x+2) in the denominator. That is, the denominator will have a factor of (x²-4). (There may be other factors that do not have real zeros.)

__

3. A rational expression is a fraction the same as any other. The usual rules of addition, subtraction, multiplication, and division apply. For addition and subtraction, it can be useful to identify a common denominator. For multiplication and division, that is not so essential.

Answer:

(a) Mean = 55.9

(b) Median = 59

(c) Mode = No mode

(d) Midrange = 93

Step-by-step explanation:

(a) Mean

The formula for finding mean of an ungrouped data = Σx/n

Where

Σ is the sum of all the data

n is the number of data in the set

Therefore,

Σx=615

n = 11

Mean = 615/11

=55.9

(b) Median

Median is the middle number after arranging the set of data in either ascending or descending order.

By arranging the numbers, the middle is 59 which is the Median

(c) mode

Mode is the number that occurs most in a set of data.

From the given set of numbers, all the numbers appear once. Therefore, there is no mode

(d) Midrange

This is the difference between the biggest and the smallest number in a set of data.

Therefore,

the midrange = 97-4

=93

Answer:

3.5 in²

Step-by-step explanation:

Given:

Radius (r) = 1.5 in.

Formula for area of half circle = (πr²)/2

Required:

Area of the half circle

Solution:

Plug in the values into the formula for area of half circle.

Thus:

Area = (π × 1.5²)2

= 7.06858347/2

Area = 3.5 in² (nearest tenth)

Answer:

x= -16

Step-by-step explanation:

g(x) =-2x-4

g(6)=-2(6)-4

g(6) = -12-4

g(6)=-16

The value of g(6) for the given function g(x) = -2x – 4 will be -16.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given the function,

g(x) = -2x – 4

Now,

g(6) means value of g(x) at x = 6

So,

g(6) = -2(6) - 4

g(6) = -12 - 4 = -16

Hence "The value of g(6) for the given function g(x) = -2x – 4 will be -16".

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Answer:

its the yellow one  hope this helps

Step-by-step explanation:

i did the math and checked !!!

Answer:

Volume =[tex]5^{3}[/tex] = [tex]125 cm^{3}[/tex]

Answer:

3,2,1,4

Step-by-step explanation:

Answer:

300 inches cubed

Step-by-step explanation:

Attached is an image of the explanation. Sorry about the handwriting I was trying to write fast.

Answer:

x - 5 < -2

Answer is there