In a normal distribution, 99.7% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
B. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

Answer:

(10x-2) units

Step-by-step explanation:

The perimeter of a rectangle is 2*length+2*width.

2(3x-4)+2(2x+3)

=6x-8+4x+6

=10x-2

The perimeter of a rectangle is ( 10x - 2 ).

Here,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

We have to find the perimeter of a rectangle.

What is the perimeter of a rectangle?

The sum of two times of length and width is called the perimeter of a rectangle.

Now,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

Since, The perimeter of a rectangle = 2 (length + width)

Hence, The perimeter of a rectangle = 2(3x - 4 + 2x + 3)

                                                         = 2 (5x -1)

                                                         = 10x - 2

Therefore, The perimeter of a rectangle is ( 10x - 2 ).

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Answer:

UZY

Step-by-step explanation:

Answer:

7 / 69

Step-by-step explanation:

Rabbit = 8

Mice = 12

Snake = 4

Total = (8 + 12 + 4) = 24

If each animal has equal probability of being caught ;

Probability of catching a rabbit ;

Number of rabbits / total number of animals

P(catching 1 rabbit) = 8 / 24 = 1/3

P(catching 2nd rabbit) :

Number of rabbits left = 8 - 1 = 7

Total number of rabbits = 24 - 1 = 23

Hence, P(catching 2nd rabbit) = 7 /23

Probability of catching two rabbits :

1 /3 * 7/ 23 = 7 / 69

Answer:

Here you go

Step-by-step explanation:

Answer:

349.6 - 112.8 = 236.8

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

Answer:

the chance that he pick a woman student is 67/130 or 51.5 %

Answer:

a: positive association, the y point is called a deviation

b: looks like the student scores are positive pattern (well accept for that little guy ..little y...)

Step-by-step explanation:

a reason: if you were to draw a line through those points it would be positive linear correlation and that one plot had nothing to do with the correlation

In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Graph is given in relation of test score with student home work assignment. Relationship and association of the graph to be determined.

Correlation implies that one of the subject or value related to other subject or value.

Here, from the graph the sets of value of x is increasing and having positive association. Other side y has only single value in it showing as deviation and nothing else.

Thus, In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

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Answer:

Geometry helps us in deciding what materials to use, what design to make and also plays a vital role in the construction process itself. Geometrical tools like the protractor, ruler, measuring tape, and much more are used in construction work, astronomy, for measurements, drawing

Step-by-step explanation:

Answer:

y = 2x - 10

Step-by-step explanation:

y2 - y1/ x2 - x1

0 - 2 / 5 - 6

= 2

y = 2x + b

2 = 2(6) +b

2 = 12 + b

-10 = b

The equation is y = 2x - 10

Answer:

may be the answer is 120

Nosse  pa jajjsja sajs f pa nel bro

Answer:

[tex]\frac{67073747877258500000000}{3}[/tex] = 2.24 × 10²²

Step-by-step explanation:

[tex]\frac{(\frac{730}{2})^9*7}{36}[/tex]  :

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

[tex]\frac{67073747877258500000000}{3}[/tex]

Decimal Form:

2.23579159 × 10²² ≈ 2.24 × 10²²

Answer:

Yes, Kedir made profit.

Step-by-step explanation:

0.30 x 200 = 60 Birr

60 Birr is more than 50 Birr

He made profit of 10Birr, which is 20% of 50 Birr

Answer:

600g chopped tomatoes, 450ml stock, 390ml red wine

Step-by-step explanation:

You need to divide the 3 ingredients by the minced beef to see the unit rate. ex. 800/400 = 2, 2 x 300 (current amount of minced beef) = 600.

Answer:

(b) 6

Step-by-step explanation:

if n=5 and m=6

[tex] {6}^{2} - {5}^{2} \\ 36 - 25 = 11 \\ \\ 6 + 5 = 11[/tex]

11 less than 12

11 is greater than 10

Answer:

C) 89.12 m^2

Step-by-step explanation:

You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.

To find the area of a semicircle, use this formula:

1/2πr^2 (1/2 x 3.14 x radius x radius)

Here, this radius is 4.

Now, we just plug in the numbers.

[3.14 is always used for π (pi)].

1/2 x 3.14 x radius x radius

                ↓

1/2 x 3.14 x 4 x 4 = 25.12

25.12 is the area of the semicircle.

Now, we must find the area of the square.

SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.

8 x 8 = 64.

Now that we have both areas, we add to find the area of the figure.

25.12 + 64 = 89.12

Therefore, the area of this figure is 89.12 meters^2.

Answer:

131°

Step-by-step explanation:

(disclaimer this isn't necessarily right, please don't come at me if this is wrong)

So the only we have is the measurement of angle H, which is 49°. So we're going to assume that they're all equal, cause I don't know what else to do, so:

180° - 49° = 131°

So, I think that angle F is 131°

hope this is right and helps:)

Answer:

50 Degrees

Step-by-step explanation:

Since they already have 40 degrees for you, and a little square means a right angle (90 Degrees), then 40 + 90 is 130. The interior angles of a triangle always add up to 180, so 180 - 130 is 50. The answer is therefore 50 degrees.

Answer:

Area of circle = 28.28 unit²

Radius of circle from center point = 3 units

Diameter of given circle = 6 units

Circumference of circle = 18.85 unit

Step-by-step explanation:

Given:

Circle in third quadrant

Radius of circle from center point = 3 units

Diameter of a circle = 2 x Radius of circle

Diameter of given circle = 2 x Radius of circle from center point

Diameter of given circle = 2 x 3 units

Diameter of given circle = 6 units

Circumference of circle = 2πr

Circumference of circle = 2(22/7)(3)

Circumference of circle = 18.85 unit

Area of circle = πr²

Area of circle = (22/7)(3)²

Area of circle = 28.28 unit²

Answer:13/20 and 14/20

Step-by-step explanation:

3/5=12/20 3/4=15/20

Answer:

In second step

6x-8 = 12+2x

5x = 20

x = 4

Step-by-step explanation:

Hope it helps you!

Answer:

1

Step-by-step explanation:

Answer:

ANSWER BELOW

Step-by-step explanation:

If the door is 9 x 2 ft (18 sq ft):

12 x 18 = 216 sq ft. (Front face including the door)

216 sq ft - 18 sq ft = 198 (Front face not including the roof or door)

For the roof, the formula is h b/2:

So if the height is 4 and the base is 18, the area of the roof is 36.

To find the total area, you must add the area of the front face and the roof (without the door).

198 + 36 = 234 sq ft

Have a wonderful day my friend!

Answer:

i only answered so you could give the other person brainliest.

Step-by-step explanation:

Yea.

Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= [tex]N(\frac{100-105}{9} )[/tex]

= [tex]N(\frac{-5}{9} )[/tex]      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  [tex]N(\frac{-5}{9} )[/tex]      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

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Answer:

Your answer to this question is 16

Answer:

x + (x+2) = 72

2x + 2 = 72

2x = 70

x = 35

The two odd numbers are 35 and 37.

The number that lies between is 36.

Step-by-step explanation:

Answer:

C. 0.6

Step-by-step explanation:

If the probability of him passing is 0.4 then thats a 40% chance. But they're asking the probability of him failing so 100%-40%= 60%

60% = 0.6 in this scenario.

There is a 0.6 chance he will fail.

Answer:

option 2...........…..

Answer:

yes

because it has length, side and base

Answer:

No

Step-by-step explanation:

If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:

Perpendicular² + Base² = Hypotenuse²

{hypotenuse is the longest side in a right-angled triangle}

LHS : Perpendicular² + Base²

(15)² + (10)² = 225 + 100 = 325

RHS : Hypotenuse²

(17)² = 289

LHS ≠ RHS

Does not satisfy pythagoras theorem

So the triangle is not right angled