Good day, please could you help me solve this? ​

When the sample size is smaller than 30, the following requirements must be met for the sampling distribution of the sample mean to be considered normal:

If these conditions are satisfied then the sampling distribution of the sample mean to be normal when sample size is less than 30.

A statistic's sampling distribution is a form of probability distribution produced by selecting several random samples of a predetermined size from the same population. You may better comprehend the variations in a sample statistic by using these distributions.

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The best graphical tool to display the relative frequency of a Philippineal variable is a histogram.

A histogram is a graphical representation that organizes data into intervals or bins and displays the frequency or relative frequency of each interval. It is particularly useful when dealing with numerical or continuous data, such as Philippine variable data. By dividing the data into intervals and representing the relative frequency of each interval using bar heights, a histogram provides a visual representation of the distribution and patterns within the data.

When displaying the relative frequency of Philippine variables, a histogram allows for easy comparison between different intervals and provides insights into the overall distribution of the data. It helps identify the central tendency, shape, and spread of the Philippine variables, making it an effective tool for data analysis and visualization. Additionally, a histogram can be customized to suit specific requirements, such as adjusting the number of bins or adding labels and titles, enhancing its usefulness in displaying Philippine variable data accurately and meaningfully.

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We save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

In the question, we are informed that a bar of soap with dimensions 2 * 4 * 0.5 inches is sold for $3 individually, and a three-pack of the same soap costs $8.

We are asked how much we save per cubic inch of soap if we buy the three-pack.

The volume of one soap bar = 2 * 4 * 0.5 cubic inches = 4 cubic inches.

The cost of one soap bar = $3.

Thus, the per unit cubic inch cost of buying one soap bar = $3/4 = $0.75.

The volume of the three-pack of the same soap = 3 * the volume of one = 3*4 cubic inches = 12 cubic inches.

The cost of the three-pack of the same soap = $8.

Thus, the per unit cost of buying a three-pack of the same soap bar = $8/12 = $0.67.

Thus, the saving per cubic inch of soap if you we the three-pack = $0.75 - $0.67 = $0.08.

Thus, we save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

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Answer:

140 x  

25%=35 or 140/4 = 35

I think-

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Every number x goes up, the f(x) goes up by 9. -8+9=1 and 1+9=10. Therefore if the number goes down, you subtract. -8-9=-17

1) 2,9,16,23,.. is an arithmetic sequence.

2) 3,15,75,375,... is a geοmetric sequence.

3)0,4,4,8,.. is a recursive sequence as it depends οn previοus terms.

4) y = (1.1)ˣ is expοnential decay

5) y = (1/4)ˣ is expοnential decay.

A sequence is an enumerated grοup οf items in mathematics where repetitiοns are permitted and οrder is impοrtant. It has members, just like a set dοes. The tοtal οf all the terms in a sequence can be used tο very brοadly define a series. All οf the terms in the sequence must, hοwever, clearly relate tο οne anοther. Depending οn whether the sequence is finite οr infinite, the series might be either infinite οr finite.

Let us lοοk intο different sequences.

1) 2,9,16,23,..

Here the difference between twο cοnsecutive numbers is cοnstant.

9-2 = 7

16-9 = 7

23-16 = 7

Sο this is an arithmetic sequence.

2) 3,15,75,375,...

  15/3 = 5

  75/15 = 5

  375/75 = 5

Here the preceding number is multiplied by a cοmmοn ratiο οf 5 tο get the next number.

Sο this is a geοmetric sequence.

3)0,4,4,8,..

Fοr this sequence, if n is the last term we can write the recursive fοrmula,

aₙ =  aₙ₋₁ + aₙ₋₂

Sο

a₃ = a₂ + a₁ = 4+0 = 4

a₄ = a₃ + a₂ = 4+4 = 8

Sο this is a recursive sequence as it depends οn previοus terms.

4) y = (1.1)ˣ

Here the numbers increase as the value οf x increases.

Sο it is expοnential grοwth.

5) y = (1/4)ˣ

Here the numbers decrease as the value οf x increases.

Sο it is expοnential decay.

Therefοre fοllοwing the rules οf different sequences, we categοrized the different sequences which are given in the questiοn.

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For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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Explanation

We are given a triangle

and then asked to determine the value of x

To do so, we know that the total angles in a triangle are 180 degrees

Thus

The value of x is 41 degrees

Answer: 236.715

Step-by-step explanation:

1. Find the area of the middle rectangle.

Use A = bh

A = (4)(15)

A = 60

2. Find the area of the two semicircles (which equals one circle)

Use A = πr²

The diameter is given.

D = 2r

15 = 2r

r = 7.5

A = π(7.5)²

A ≈ 176.715

3. Add the area of the rectange and circle.

60 + 176.715 = 236.715

On solving the problem, we get 90 inches as the width of a rectangle that has a length of 72.

The parallel sides of a rectangle are equal to one another, and each of its four vertices is 90 degrees, making it a type of quadrilateral. As a result, it is also referred to as an equiangular quadrilateral. The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

As the proportion are same,

\(\frac{a}{b} = \frac{c}{d}\)

And here,

length of first rectangle, a

length of second rectangle, c

Width of first rectangle, b

Width of second rectangle, d

\(\frac{8}{10} = \frac{72}{\alpha }\)

\(\alpha = \frac{72 X 10}{8}\)

\(\alpha = 90 inches\)

Answer is 90 inches

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Answer:

Hey there!

93 ÷ 5 can be written as 93/5.

5 goes into 93, 18 times, so we have \(18\frac{3}{5}\)

Let me know if this helps :)

Answer:

First box: 3, second box: 50, third box: 2

Step-by-step explanation:

5 x 3/5 = 3 (the whole number 5 and the denominator of 5 cancel each other out)

5 x 10 = 50

5 x 2/5 = 2 (the whole number 5 and the denominator 5 cancel each other out)

Answer:

Step-by-step explanation:

Using the formula for calculating heat energy H = mcΔT

m = mass of the aluminum (in g/kg)

c = specific heat capacity of aluminum

ΔT = change in temperature = T - Ti (in °C)

T is the final temperature

Ti is the initial temperature

Given m = 100.0g,  c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?

Substituting the given values into the formula;

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

The final temperature of the metal is 31.81°C

Answer:

31.81c

Step-by-step explanation:

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

Answer:

150

Step-by-step explanation:

90/0.6 = 150

Check:

150*0.6 = 90

Then:

90 is 0.6 of 150

Answer: D. X=10 and y= 12

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

NOOOOOO FIGURE IT OUT YOUR SELF THATS WHY THEY TEACH YOU DUHHHHHHHHHHHHH

The coordinates of the circumcentre P(x, y) of ΔABC with vertices A (1, 0), B (8, -7), and C(7,-4) is P(6.4, 1.6).

If there is a circle that encompasses all of the vertices of a polygon, it has a circumcenter that is the centre of the circle. The circumcentre and ensuing circumcircle of a triangle are both always distinct.

Let P(x, y) be the circumcentre

Then

PA = PB = PC

⇒PA² =PB² =PC²

Now, PA² = PB²

⇒ (x−1)² +(y−0)² =(x−8)² +(y+(-7))²

⇒  x = 8 − y

And,  PB² = PC²

⇒ (x−8)² +(y+(-7))²= (x−7)² +(y−(-4))²

⇒  x = 24− 11y

Factor out x from both equations

8 − y = 24− 11y

10y = 24 - 8

10y = 16

y = 16/10

y = 1.6

For x

x = 8 − y

x = 8 − 1.6

x = 6.4

Thus, the coordinates of the circumcentre P(x, y) of ΔABC with vertices A (1, 0), B (8, -7), and C(7,-4) is P(6.4, 1.6).

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Answer:

The third one

Step-by-step explanation:

Using conditional probability, it is found that the events are not independent because:

P(male | buys lunch) = 0.4 and P(male) = 0.3.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

If two events are independent, we have that:

\(P(A \cap B) = P(A)P(B)\)

Hence:

\(P(B|A) = \frac{P(A)P(B)}{P(A)} = P(B)\)

The proportion of males is given by:

P(male) = (46 + 176)/(46 + 254 + 176 + 264) = 0.3.

Hence the correct option is given by:

P(male | buys lunch) = 0.4 and P(male) = 0.3.

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The transformation which can be used for mapping one triangle to another is; Only translation, Rotation then dilation.

What is transformatiuons?

People's opinions on the proposed transformation of their town into the regional capital are divided. a total change in the appearance or character of something or someone, especially so that it is improved.

Here, we have

We need to map one triangle to another ;

Hence, for mapping one triangle to another,

The transformation which can be used from the given options is; Only translation, Rotation then dilation.

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The correct transformation(s) that can be used to map one triangle onto the other are:

1. Translation only

2. Rotation, then translation

Both triangles have congruent sides J K, K L, L M, and M J. To map one triangle onto the other, we can apply a translation, which simply moves the entire triangle in a specific direction, without changing its shape or size.

Alternatively, we can also apply a rotation, followed by a translation, to map one triangle onto the other. This involves rotating one triangle around a fixed point, and then moving it to its final position using a translation. Since the triangles are congruent by SSS, we can use the fact that the corresponding sides are equal in length to determine the amount of rotation needed. The fixed point could be any point, such as the midpoint of KL.

Therefore, the correct transformation options are translation only and rotation, then translation.

A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

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Answer:

y=-5x+6

Step-by-step explanation:

the two lines are parallel so they have the same slope and if you put the like in y=mx+b it would be y=-5x+1 so the slope is -5

Then you need to put it into point slope for to figure it out y-y1=m(x-x1)

y-1=-5(x-1) (simplify)

y-1=-5x+5 (add 1 to both sides)

y=-5x+6

Answer:

send the diagram pls. You can add it to the question.

Answer:

3.528

Step-by-step explanation:

Therefore , the solution of the given problem of angles comes out to be

120° is the measure of interior angle of regular polygon of 6 sides.

An angle is a structure in Euclidean geometry made up of two rays, called the sides of the loops, that split at the apex of the angle and indeed the vertex, which is located in the middle. A combination of two rays may result in an angle being created inside the plane in which they are positioned. The combination of two planes also produces an angle. These are referred to as dihedral angles. Two line rays with end points can be arranged in a variety of ways to create angles in two dimensions.

Here,

Given :

each exterior angle has a measure of 6 degrees

To find how many sides polygon have :

Using formula:

=> (n-2)*180°/n

where n =6

Thus ,

=> (6-2)* 180° /6

=> 4 * 180° /6

=> 4 * 30°

=> 120°

Therefore , the solution of the given problem of angles comes out to be

120° is the measure of interior angle of regular polygon of 6 sides.

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Answer:

JKM AND GHK

Step-by-step explanation:

THE SUM OF THE TWO ANGLES IS 180°

_______________________________

Hey!!

The supplementary angles are <IHK and < IHF

Supplementary angles are those angles which is exactly 180 degree.

Hope it helps..

Answer:

Let x = the number of lbs of Type A coffee.

We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total lbs of coffee = x + 3x

The total cost then is:

($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60

$5.65x + $4.25(3x) = $717.60

$5.65x + $12.75x = $717.60

$18.40x = $717.60

x = 39 lbs

Answer:

C.

Step-by-step explanation:

Because x is less than 7, which will not Include the 7. You will represent with an open circle on 7 with the arrow going on to the left. Which will mean all the numbers smaller than 7, 7 not included.