A normal distribution has a mean of 97 in the standard deviation of 12 find the probability that a value selected at random is in the following interval: at least 85

Answer:

3x+5=2

3×=2- 5

3x= -3

x=-1

4x-5=7

4x=7+5

4x=12

4x÷4=12÷4

x=3

2x+5=12

2x=12-5

2x=7

2x÷2=7÷2

x=3.5

3x-5=3

3x=3+5

3x=8

3x÷3=8÷3

x=2.6

Answer:

0.29

Step-by-step explanation:

greatest numberrr

Answer:

18cm

Step-by-step explanation:

We have the length of the rectangle but we need to find the width which we'll call w. Area is a, l is length.

a = l * w

20 = 5 * w

divide both sides by 5 to cancel the multiplication by 5 on the right side

4 = w

The rectangle is going to have two sides that are the length of l, and two sides that are the the length of w. We're looking for the perimiter p.

p = 2l + 2w

p = (2 * 5) + (2 * 4)

p = 18

The lateral area of the triangular prism is: 720 in.²

The surface area of the triangular prism is:  840 in.²

Lateral area of a triangular prism (AL) = (a+b+c)h

Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

a. Lateral area of a triangular prism:

Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²

b. Surface area of a triangular prism:

Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²

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Answer:

A = 33

B = 38

C = 5

D = 18

E = 30

F = 79

G = 56

H = 170

Step-by-step explanation:

See attached image.

Answer:

The Turks burned down Constantinople

Answer:

24 boards

Step-by-step explanation:

The builder is building a fence with inches wide wooden boards, arranged side-by-side with no gaps.

If the fence is 150 inches long, then there will be a certain number of wooden boards required.

Now, 1 wooden board is equivalent to 6.25 inches.

Then the  number of wooden boards required to cover 150 ft. will be

Answer:

24

Step-by-step explanation:

150/6.25 = 24. one unknown so divide to move 6.25 and you get the answer.

Answer: -2.6 , - 0.4, 0, 0.8 , 1.2

Step-by-step explanation:

ascending is smallest to largest

From the extrem left of a.number line to the right

Answer:

-2.6, -0.4, 0, 0.8, 1.2

Step-by-step explanation:

Ascending order is simply the smallest number to the largest number. The smallest numbers in this set are the negative ones, and -2.6 is a smaller value than -0.4.

So far our set looks like the following:

-2.6, -0.4

Next is 0, since 0.8 and 1.2 both come after 0. After 0 would be 0.8, and 1.2 would be the largest number.

Here is the set of numbers in ascending order:

-2.6, -0.4, 0, 0.8, 1.2

Answer:

324 square meters

Step-by-step explanation:

Hey there!

The surface area of a shape is the area of all the surfaces added up

The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96

Now we need to do this for the other sides

the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192

The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36

Now we add all the values: 96+192+36 which is 324

So the surface area of the prism is 324 square meters

Answer:

C) $560

Step-by-step explanation:

Suppose that: r=price of red bike ,  b=price of blue , g=price of green.

Given: r=(2/3)b   g=(5/4)b  g=210+b  

Solution:

(5/4)b=210+b                   (g=g)

(5/4)b-b=210                   (take b as common factor)

b((5/4)-1)=210                  

b(0.25)=210  

b=210/0.25=$840    (so the price of blue bike is 840$)

Substitute b in equation of r:

r=(2/3)b=(2/3)(840)=560

so red bike costs $560.

Answer:

35.57 degrees

Step-by-step explanation:

tan x = 108/151

tan x = 0.71523

x = 35.57 degrees

Answer:

I think its some sort of learning platform. Search it up.

Step-by-step explanation:

114°

Explanation:

ΔE = mcΔT

ΔE = 5(0.38)(80 - 20)

ΔE = 1.9(60)

ΔE = 114°

Answer:

x is less than or equal to 272

Step-by-step explanation:

you can spend 272 but you can't go over 272.

Answer: 20 over 4     or      4/20

Step-by-step explanation:             I belive this is you answer for number 2.

Answer:

4³ and 4 · 4 · 4

Step-by-step explanation:

4³ is the same as 4 · 4 · 4 (or 4 three times).

First We Need To Solve All The Expression:-

[tex](4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64[/tex]

[tex]( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81[/tex]

[tex]\: \:\: \:4 \: ·4 \: ·4 \\ = 64[/tex]

[tex]\: \:\: \:3 \: · \: 4 \\ = 12[/tex]

[tex] \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}[/tex]

Check the picture below.

If the sin θ is equal to the negative one then the value of the θ will be 3π / 2. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A unit circle is shown.

A radius with length 1 forms angle θ in the first quadrant.

Then the sin θ is equal to the negative one. Then the value of the θ will be

sin θ = -1

Then it can be written as

θ = sin⁻¹ (-1)

θ = 3π / 2

Thus, the correct option is C.

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Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.

Hope this helps!

Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Hope this helps!

Answer:

See below.

Step-by-step explanation:

A translation of 6 units right is 6 added to the x-coordinate.

A translation of 2 units down is a 2 subtracted from the y-coordinate.

Are D through G answer choices, or are you supposed to do the above translation to those 4 points?

Answer:

1st Statement: False

2nd Statement: True

3rd Statement: True

4th Statement: False

Answer:

False

True

False

True

Step-by-step explanation:

Whole numbers are 'counting numbers', they don't include decimals. (ex. 1, 2, 3) Integers are non-decimal numbers and they can be negative too. (ex. -5, 0, 4). Since whole numbers are non-decimal numbers that are greater than or equal to 1, they are all integers. So this statement is False.

Rationals numbers include all numbers that are not infinite decimals. They can be fractions as long as they are not infinite and since whole numbers cannot be fractions, this statement is True.

As with the previous statement, rational numbers can be fractions and integers cannot be fractions. So, not all rational numbers are integers so this statement is False.

Rational numbers are all numbers that are not infinite decimals, so, that includes whole numbers. This statement is also True.

Answer:

The answers are D and then B.

Step-by-step explanation:

The first question asks which team has the youngest members on average. This is easily answered because the "mean" is simply the average of all the ages. Therefore the youngest "mean" age will also have the youngest members on average.

The second question asks what team has the most variability in ages. Range is the difference between the highest and lowest number. Therefore the team with the highest range should, logically, also have the most variability.

Answer:

1) 40 m; 2) 18 cm

Step-by-step explanation:

1) Length = 10 m

Breadth = 4 m

Perimeter of a rectangle

= length (l) × breadth (b)

= 10 × 4

= 40 m

2) Side 1 = 6 cm

Side 2 = 8 cm

Side 3 = 4 cm

Perimeter of a triangle

= Side 1 + Side 2 + Side 3

= 6 + 8 + 4

= 18 cm

_______

Hope it helps ⚜

Answer:

1. 28m

2. 18 cm

Step-by-step explanation:

Perimeter of rectangle = 2× (length + breadth )

=> 2 ( 10 + 4 )

=> 2 ( 14 )

=> 28 m

Perimeter of triangle = side a + side b + side c

=> 6cm + 8cm + 4cm

=> 18 cm

Answer:

Step-by-step explanation:

g( x ) = f ( x + 2 )

g(x) = ( x + 2 )² - 6 ( x + 2 )

g(x) = x² + 4x + 4 - 6x - 12

g(x) = x² - 2x - 8

Hey!

Therefore, he sold 28 cups of lemonade

Bao sold 28 cups and spend $2.5 on 50 cups.

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

Given that, Bao is selling lemonade at $0.35 per cup.

We need to determine, number of cups he sold if he earned $9.80,

And,

Bao bought 50 paper cups for $0.50 each, how much he spent on them,

1) Let he sold x cups,

So,

0.35x = 9.8

x = 28

Therefore, he sold 28 cups.

2) Since, one cup is for $0.05 therefore,

50 cups = 50 x 0.05
= $2.5

Therefore, cost of 50 cups is $2.54

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Answer:

D

Step-by-step explanation:

[tex]y=-3x-14[/tex] is a function as it has:

Linear equation in slope-intercept form:  [tex]y=mx+b[/tex]

where:

Therefore, for equation [tex]y=-3x-14[/tex]

So as the equation is a linear equation, its graph is a straight line.

Therefore, the only statement that is NOT true is D as the y-intercept is -14 (not 14).

Answer:

1. 18?, 2. 10?, 3. 16?, 4. 36?, 5. 10?, 6. 18?.

Step-by-step explanation:

I'm not sure though your picture was not clear enough and I have quite bad eyesight.

Step-by-step explanation:

you could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, in total, we have

pi×r²×h

r being the radius (half the diameter), h being the height.

therefore, the volume of the given cylinder is

pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³

The mean is said to be an arithmetic mean. The mean of the snowfall is 17.9 inches then the correct option is C.

Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. It is the ratio of the sum of the observation to the total number of observations.

A town's yearly snowfall in inches over a 10-year period is recorded in this table.

Year          Snowfall in inches

1997                      15

1998                      11

1999                      18

2000                     25

2001                       13

2002                     20

2003                      16

2004                     28

2005                     15

2006                      18

Then the mean will be

[tex]\rm Mean = \dfrac{15+11+18+25+13+20+16+28+15+18}{10}\\\\Mean = \dfrac{179}{10}\\\\Mean = 17.9[/tex]

More about the mean link is given below.

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Answer:

C

Step-by-step explanation:

17.9

Answer:

If the blue ribbon is x inches and the red ribbon is that length and an additional 7 inches the red ribbon can be expressed as x + 7.