a variable x has a normal distribution with mean 54 and standard deviation 5. approximately what percentage of the observations will fall between 44 and 64?

Step-by-step explanation:

The distance between 2 points is calculated with this formula:

[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

• in the first exercise:

- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1

- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2

then apply the formula:

[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]

[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]

[tex] \sqrt{81 + 1} [/tex]

[tex] \sqrt{82 } =9.05[/tex]

you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)

• in the second exercise:

- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1

- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2

then apply the formula:

[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]

[tex] \sqrt{(0) {}^{2} + (36) } [/tex]

[tex] \sqrt{36} = 6[/tex]

Answer:

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

Answer: -0.5

-3.5 / 7 = -.5

The value is -1/2.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

-3.5 ÷ 7

This can be written as a fraction.

= -3.5/7

Remove the decimal point.

= -35/70

Divide both the numerator and denominator with 7.

= -5/10

Divide both the numerator and denominator with 5.

= -1/2

Thus,

The value is -1/2.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

[tex]3 \times 10 ^{ - 7} [/tex]

Answer:

km/hr to m/s = × 5/18

Step-by-step explanation:

320 ×5/18

=89m/s

Answer: 5[tex]\sqrt{3\\}[/tex]

Step-by-step explanation:

This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.

Hypotenuse = 2 * the length of the shorter leg

Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.

Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:

y = [tex]\sqrt{3\\}[/tex] * 5

y = 5[tex]\sqrt{3\\}[/tex]

Answer:

-4/19 is the answer.

Step-by-step explanation:

Digit 9 -1's place

Digit 4 - 100ths

Digit 8 - 10ths

Answer:

B. The digit 4 is in the tenths place

C. The digit 9 is in the thousandths place

D. The digit 8 is in the hundredths place

Step-by-step explanation:

A. The digit 9 is in the thousandths place

E. The digit 8 is in the hundredths place.

Hope it helped!

Answer:

Yes, because each domain have only one range.

Step-by-step explanation:

Answer:

2.80

Step-by-step explanation:

Answer= 2.8

Step-by-step explanation:

y+5.41=8.21

y= 8.21-5.41

y= 2.8

Answer:

8

Step-by-step explanation:

f(x) = (x+2)(x-2)

Substituting x=1 into f(x):

f(1) = 3*-1

     = -3

Since -2 & 2 touch the x-axis, 1 has a negative y value, 2 has a y value of 0, and all values from 2, are positive.

Hence,

3, 4, 5, 6, 7, 8, 9, 10 are all positive. Therefore, the answer is 8

This can be confirmed with a graph, as attached below.

Feel free to mark this as brainliest! :D

Answer:

6/14

Step-by-step explanation:

divide the numerator and denominator by 3. 18 / 3 is 6 and 42 / 3 is 14. So your answer is 6/14.

Answer:

6/14

Step-by-step explanation:

Scaling the numerator and denominator means to multiply or divide both numbers by some number. "Scaling down" means to divide both the numerator and denominator by some value (in this case, 3). So you would have to divide the numerator by 3 and the denominator by 3.

18 / 3 = 6

42 / 3 = 14

So you would get the equivalent fraction 6/14 when you scale down the numerator and denominator by 3.

Answer:

1518.25=836.50+24.75p;

p=(1518.25-836.50)/24.75=681.75/24.75

Step-by-step explanation:

24.75 is about 25, so 681.75 is about 700, so that's about 28 people. If you don't have an option, do the math

Answer:

Equation: 24.75p+836.5=1158.25

Answer: p = 13

Step-by-step explanation:

Cost per player = 24.75

number of players = p

cost of bus = 836.50

total raised = 1158.25

Answer:

[tex]g = \frac{E}{5h}[/tex]

Step-by-step explanation:

To solve for g, given the equation: E = 5gh

Divide both sides by 5h:

[tex]\frac{E}{5h} = \frac{5gh}{5h}[/tex]

[tex]\frac{E}{5h} = g[/tex]

Answer:

E=5gh

E/5h=g

g=e/5h

Step-by-step explanation:

.......

Answer:

[tex]27.82 \degree[/tex]

Step-by-step explanation:

To find the unknown angle use tan rule

[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]

Let the unknown angle be x

[tex] \tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

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The given angles are forming alternate interior pair, so :

hence, value of x = 8°

Answer:

There are two questions please be specific

Answer:

Step-by-step explanation:

I=PRT

I=50000000000×5÷100×18

I= 5000000000×0.5×18

I=45,000,000,000

Answer:

875

Exaplaination:

No. of sanitizer in a box= 25

No. of boxes deliver in a shop=35

Total sanitizer left?

25×35= 875

hope you get the answer

Answer:

The answer will be 30cm

Because 40 divided by 4 is 10 and times it by 3

Answer:

Step-by-step explanation:

It would be 120 because 4% of 125 is 5, so you subtract 5 from 125 to get 120. I am pretty sure that's how you do it.

Answer:

The answer would be 5

Step-by-step explanation:

Percentage decrease =

4% × 125 =

4 ÷ 100 × 125 =

4 × 125 ÷ 100 =

500 ÷ 100 =

5

Answer:

jahahahaahhsydsywuwks

Answer:

1st event ratio is 7:4 2nd event is 7:5

Step-by-step explanation:

The ratios are not the same. During the 2nd event, FIVE people bought vanilla ice cream for ever 7 that bought chocolate. During the 1st event, FOUR people bought vanilla ice cream for every 7 that bought chocolate.

Answer:

Slope=4 y-intercept=(0,-21) or -21

Step-by-step explanation:

To find slope

m=-13-(-17)/2-1

m=4/1

m=4

To find y-intercept

y-(-17)=4(x-1)

y+17=4(x-1)

y+17=4x-4

Subtract both sides by 17

y=4x-21

y-intercept=-21

Step-by-step explanation:

3n+1/2n+4=4n+1

3n+4n+1/2n=4+1

7n+1/2n=5

7.5n=5

Divide both sides by 7.5

5 divided by 7.5=

0.666

Answer:

2.5*10^3... two point five times ten to the power of three

Step-by-step explanation:

Answer:

2.5 × [tex]10^{3}[/tex]

Step-by-step explanation:

I think that is the write answer.

Lmk what u got.

Answer:

yes yes ok you need help mr

Answer:

Step-by-step explanation: