what is the shape of a normal curve in statistics​

Answer:

sorry, i do not know

Step-by-step explanation:

i

9514 1404 393

Answer:

Step-by-step explanation:

The scalar multiplier multiplies each of the components.

  1/2V = <-9×1/2, 3×1/2> = <-9/2, 3/2>

  -V = <(-9)(-1), (3)(-1)> = <9, -3>

  4V = <-9×4, 3×4> = <-36, 12>

Answer:

Step-by-step explanation:

\(\frac{9}{15}\)  × 70

\(= \frac{630}{15}\)

= 42

70 - 42 = 28

28 eggs did not hatch.

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Answer:

\(P(Female\ or\ Physics) = 0.38\)

Step-by-step explanation:

Given

\(n = 50\) --- total

\(Physics =10\)

\(Female= 12\)

\(Both = 3\)

Required

\(P(Female\ or\ Physics)\)

This is calculated as:

\(P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)\)

So, we have:

\(P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}\)

\(P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}\)

\(P(Female\ or\ Physics) = \frac{19}{50}\)

\(P(Female\ or\ Physics) = 0.38\)

The value of cos(A-B)cos(A−B) in the simplest form is 76/861

The angles having measures less than 90° is considered as an acute angle.

Given that, For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.

Finding sinA and cosB,

cos²x+sin²x = 1

Therefore,

sinA = \(\sqrt{1-cos^{2}A}\)

sinA = √1-(⁴⁰/₄₁)²

sinA = 9/41

Now,

cosB = \(\sqrt{1-sin^{2}B }\)

cosB = √1-(²⁰/₂₁)²

cosB = √41/21

Using formula,

cos(A+B)cos(A−B) = (cosAcosB−sinAsinB)

cos(A+B)cos(A−B) = [40/41x√41/21]-[9/41x20/21]

= 40√41/861-180/861

= [256-180]/861

= 76/861

Hence, the value of cos(A+B)cos(A−B) is 76/861

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Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)

\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)

\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)

\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)

Hope I helped!

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Answer:

The answer is -1.

Step-by-step explanation:

Answer: h=150

Step-by-step explanation:

2h/15 = 20

     2h= 20*15 [multiply 15 in both side]

     2h= 300

       h= 300/2

       h=  150

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

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Answer:

24%

i think

Step-by-step explanation:

Answer:

-0.5 goes between -2 and 1

0.5 goes between -2 and 1

-4.5 goes below -2

-2.5 goes below -2

1.5 goes above 1

4 goes above 1

Below -2:

-4.5

-2.5

Between -2 and 1:

-0.5

0.5

Above 1:

1.5

4

On a number line, it'd go like (from left to right): -4.5, -2.5, -0.5, 0.5, 1.5, 4

The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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the Diameter of circle is

D = 2r, where r = radius, and D = diameter = 7, then

answer: radius is 3.5 cm

Check the picture below.

Answer:

See below.

Step-by-step explanation:

Location is Q1

Angle is less than 90

cos Ф = sin(90° - Ф)

cos 80° = sin (90° - 80°)

cos 80° = sin 10°                set your calculator in degree mode

Check

cos 80° = 0.1736481777

sin 10° =  0.1736481777

Answer:

y+14x=74

Step-by-step explanation:

By transforming the following equation of a line y − 4 = −14 (x − 5) to its general form, we obtain:

The given equation of line is :

y − 4 = −14 (x − 5)

Firstly we solve RHS of the equation.

y − 4 = -14x+70

Taking variable on LHS and constants on RHS.

y+14x=70+4

y+14x=74

Hence, the general equation is y+14x=74.

Answer:

Pretty sure its either 1 or 2

Step-by-step explanation: CUZZZZ IM BUILT DIFFERENTLY

The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

First, we need to find the z-score and this is expressed according to the formula;

\(z=\dfrac{x-\mu}{\sigma}\)

x is the sample space

\(\mu\) is the mean value

\(\sigma\) is the standard deviation

Given the following parameters

Mean = $275,000

Standard deviation = $10,500

If the true mean is $273,000, then;

\(z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905\)

If the true mean is $277,000

\(z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905\)

This means that the z-score is between -0.1095 and 0.1095

Pr( -0.1095 ≤ z ≤ 0.1095)

According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

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Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

Answer:

57.1428571429 miles per hour Round off the answer to what your teacher asked.

Step-by-step explanation:

Since we want final answer in miles per hour, lets change the 30 mins to 0.5 hours

Phase 1 =25miles per 0.5 hours

Phase 2 = (200miles-25miles) per 3 hours

Speed = distance/time

Average speed = total distance/ time

Total distance is 200miles because both phases say from new york that means it travels 25 miles away from new york then 3 hours later it is 200 miles away from new york

total time =3 hours+0.5 hours = 3.5 hours

Average speed = 200/3.5

Average speed = 57.1428571429 miles per hour

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We want to get the average speed between the 30 minute and 3-hour time frame.

The average speed in that time frame is 70 miles per hour.

We will define average speed as the quotient between the distance travelled and the time it takes to travel that distance.

We know that at 30 minutes, the car is 25 miles away from NY

At 3 hours, the car is 200 miles away from NY.

So the distance travelled in that time frame is:

200 miles - 25 miles = 175 miles.

And the time between 30 minutes and 3 hours is just:

3 h - 0.5h = 2.5 h

So the average speed is:

S = (175 mi)/(2.5 h) = 70 mi/h

The average speed is 70 miles per hour.

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If a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane with each object having mass m and radius r then the solid sphere will reach the bottom first.

We know that each object has uniform density and that they all roll without slipping. Also, size, mass, density, and height don’t matter.

let, mass = m

gravity = g

height = h

final velocity = v

radius  = r

angular velocity = ω = vr

moment of inertia = I = km\(r^{2}\)

(where  k  is a measure of the average distance of the mass of an object from its rotational axis)

Now using the law of conservation of energy,

mgh = 1/2m\(v^{2}\) + 1/2I \(\omega^{2}\)

2gh =  \(v^{2}\)+ k\(v^{2}\)

v = \(\sqrt{\frac{2gh}{1+k} }\)

Now if we want to maximize v  we will have to minimize k  -that is we want the mass to be concentrated close to the center. This is inherent as we don’t want the object to waste energy in spinning but rather concentrate it on maximizing the object's speed.

Thus, the hollow sphere whose all the mass is present at the edge will come down slowly while the solid sphere whose mass is concentrated in the center will come down quickly.

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Let x be her salary of 2 years ago.

Last year, she received a 14% raise in salary, based on her initial salary, which was x.

So the raise she received was

So, if we want to calculate her salary last year, we simply add the salary she had 2 years ago to the amount she got raised, so her salary last year was

Note that to calculate the salary of last year, we took the salary of the previous year (x) and multiply it by (1+ 14/100).

Since this year she got another 14% raise, we simply follow our principle of multiplying by (1+14/100). We take the salary of last year and multiply it by this factor, so we end up having

This expression would be her actual salary, which we know is 96000. So we have the equation

if we divide both sides by (1+14/100)^2, we get

which rounded to the neares penny is 73868.88

Answer:

length 5cm, width 4cm, door width 2/5cm or. 4cm, length 10 ft, width 7.5 ft

Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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Answer:

20 pens

Step-by-step explanation:

Half of 36 is 18, along with 2 additional pens.

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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The correct answers are, A, D, and E.

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

The exponential model for the data is: \(y = 693(1.5)^x\)

When the cost is of $6000, the weight is of approximately 5.3 carats.

An exponential function is modeled by:

\(y = ab^x\)

In which:

From the table, the rate of change is given by:

b = 4980/3210 = 3210/2140 = 2140/1430 = 1.5.

When x = 1, y = 1040, hence the initial value is found as follows:

1.5a = 1040.

a = 1040/1.5

a = 693.

So the model is:

\(y = 693(1.5)^x\)

When the cost is of $6000, the weight is found as follows:

\(693(1.5)^x = 6000\)

\((1.5)^x = \frac{6000}{693}\)

\(1.5^x = 8.658\)

\(\log{1.5^x} = \log{8.658}\)

x log(1.5) = log(8.658)

x = log(8.658)/log(1.5)

x = 5.3

When the cost is of $6000, the weight is of approximately 5.3 carats.

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