A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
points. Irina got a score of 95 points on the exam.
What proportion of exam scores are lower than Irina's score?
You may round your answer to four decimal places.

Answer:

155

Step-by-step explanation:

The measure of <1 is 25.

The fundamental characteristics listed below make it simple to recognize parallel lines.

Given:

The streets represented by lines V and W are parallel.

We need to determine the measure of ∠1.

As, Corresponding angles are those in the matching corners formed when a transversal line crosses two parallel lines.

Additionally, the size of the corresponding angles is consistently the same.

So, From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.

Thus, the measure of ∠1 is 155°

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Answer:

The answer is actually a proper fraction = 7/20

Step-by-step explanation:

A mixed fraction is expressed as : a b/c

Let the mixed fraction be represented by Y

a) The fraction is halved

= Y ÷ 1/2 = Y/ (1/2)

In mathematics, when we divide a number by a fraction, the number is multiplied by the reciprocal of the fraction.

Y × 2 = 2Y

b) Then 3/4 is added

= 2Y + 3/4

c)The result is 1 9/20

2Y + 3/4 = 1 9/20

Converting the mixed fraction to improper fraction, we have

1 9/20 = (20 × 1) + 9/ 20 = 29/20

Therefore,

2Y + 3/4 = 29/20

2Y = 29/20 - 3/4

The Lowest common multiple of the right hand side = 20

2Y = (29 - 3×5)/ 20

2Y = 29 - 15/20

2Y = 14/20

2Y = 7/10

To find Y , we cross multiply

2Y × 10 = 7

20Y = 7

Y = 7/20

Therefore, the mixed fraction represented by Y is actually a proper fraction = is 7/20

Answer:

a = 1

b = 2

c = 5

Step-by-step explanation:

Given

Mixed fraction: a b/c

Result after arithmetic operations = 1 ⁹/20

Required.

Find a, b, c

From the question, the fraction is halved. This is represented as follows

a b/c ÷ 2

= a b/c * ½

Then, ¾ is added. This is represented by

a b/c * ½ + ¾

The result is 1 ⁹/20. This is represented by

a b/c * ½ + ¾ = 1⁹/20

Convert mixed fraction to improper fraction

a b/c * ½ + ¾ = 29/20

Subtract ¾ from both sides

a b/c * ½ + ¾ - ¾ = 29/20 - ¾

a b/c * ½ = (29 - 15)/20

a b/c * ½ = 14/20

a b/c * ½= 7/10

Multiply both sides by 2

2 * a b/c * ½= 7/10 * 2

a b/c = 14/10

a b/c = 7/5

Convert mixed fraction to improper fraction

a b/c = 1⅖

By comparison,

a = 1

b = 2

c = 5

Answer:

6x2 3 + 4(2x - 1)

Step-by-step explanation:

6x23+4(2x−1)

Distribute:

=6x23+(4)(2x)+(4)(−1)

=6x23+8x+−4

Answer:

=6x23+8x−4

Answer:

pls may you explain I don't understand explain step by step

Answer: >,<

Step-by-step explanation:

18 qt = 4.5 gallons which is not greater than 5 gallons

4.5km = 4,500 m is not greater than 5,000 m

Answer:

1st: 5 gal > 18 qt

2nd: 4.5 km < 5,000 m

Step-by-step explanation:

1 gallon is equal to 4 quarts

Going by this logic, 5 gallons should be 20 quarts. Since it says 18, 5 gallons is more than it. So the answer is '>'.

1 kilometer is the same as 1000 meters

4.5 kilometers * 1000 = 4,500 meters

5000 meters / 1000 = 5km

So the answer should be '<' since 5,000m is greater than 4.5km.

Answer:

1.5

---------------------

Answer:

Nathan buys six socks

Step-by-step explanation:

You times 0.99 by six and get your answer when you add the number you add to the cost of the sweater

That's a vertical line, no slope, so no y=something.  

Answer: x = -9

Answer:

56 Swedish Fish

Step-by-step explanation:

1 = T

2 = H

3 = U

4 = N

5 = D

6 = E

7 = R

8 = C

9 = L

10 = A

11 = P

Thunderclap means a crash of thunder

T h u n d e r = 7 letter word

Hence the number of fishes Viking gives Norman is 8 × 7 = 56 Swedish Fish

Answer:

5. DBE and CBA both=48 degrees

6. a. scalene, right

b.isosceles, obtuse

c. scalene, acute

7. 50 degrees

8. im not completely sure how to do this one but ill check into it

Step-by-step explanation:

its a lot to explain, in 5 find p and plug it in.

in 6, just look at the sides and angles.

scalene- no sides equal

isosceles- 2 sides equal

equilateral- all sides equal

right- one 90 degree angle

acute- all acute angles (less than 90)

obtuse- one obtuse angle (more than 90)

7. add 90 and 40 to get 130. 180-130=50

8. im gonna look up how to do this one right now

Answer:

c

Step-by-step explanation:

the answer is c

The simplified value of the exponential expression 16^(1/4) is 2.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified value of the exponential expression 16^(1/4) is,

[tex]16^{\frac14}\\\\= \sqrt[4]{16}\\\\= \sqrt[4]{2^4}\\\\= 2[/tex]

Hence, the simplified value of the exponential expression 16^(1/4) is 2.

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Answer:

DE = 11.25 units

Step-by-step explanation:

The image of the quadilateral BCED and the extensions of BD and CE to move past B and C to meet at A is presented in the attached file to this answer.

Let the angle at A be θ

Let the length of DE be x

ABC forms a triangle which van allow θ to be obtained using cosine rule.

BC² = AB² + AC² - (2×AB×AC×cos θ)

BC = 9

AB = 24

AC = 28

9² = 24² + 28² - (2×24×28×cos θ)

-1279 = -1344 cos θ

Cos θ = (1279/1344) = 0.9516

θ = 17.89°

Note that ADE also forms a triangle and we can also use cosine rule to obtain the required side DE

DE² = AD² + AE² - (2×AD×AE×cos θ)

DE = ?

AD = AB + BD = 24 + 11 = 35

AE = AC + CE = 28 + 2 = 30

θ = 17.89°

DE² = 35² + 30² - (2×35×30×cos 17.89°)

DE² = 126.54

DE = √126.54 = 11.25

Hope this Helps!!!

The value of DE in the quadrilateral is 11.25 units.

From the information given, the cosine rule can be used. This will be:

BC² = AB² + AC² - (2 × AB ×AC × cos)

Therefore,

9² = 24² + 28² - (2 × 24 × 28 × cos)

cos = 17.89°

Therefore, the value of DE will be calculated thus:

DE² = 35² + 30² - (2 × 35 × 30 × cos 17.89)

DE = ✓126.54

DE = 11.25

In conclusion, the value of DE is 11.25 units.

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Answer:

B. y = 2x - 9

Step-by-step explanation:

All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.

You can tell by plugging the point into the equation and seeing if the result is true.

y = 2x - 9

-1 = 2(4) - 9

-1 = 8 - 9

-1 = -1

Answer:

n + 1

Step-by-step explanation:

Consider the division in fractional form, that is

[tex]\frac{3n+3}{3}[/tex] ← factor out 3 from each term on the numerator

= [tex]\frac{3(n+1)}{3}[/tex] ← cancel common factor 3 on numerator/ denominator, leaving

= n + 1

Answer:

8 weeks

Step-by-step explanation:

26.79/3.75 = 7.144

To get the full amount you need to round up to the next highest week.

Answer:

Every week you should save $18.05

Step-by-step explanation:

Answer:

(-4, -1)

Explanation:

Answer: O = m + 40

Step-by-step explanation: O is 40 feet taller than the maple, so we can use m (maple). However tall the maple is, we just add 40.

Hope this helps :)

Answer:

10π

Step-by-step explanation:

The circumference of a circle can be found with the formula πd, where d is the diameter. When we plug in 10 for d, we get 10π inches. Hope this helps!

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

Add 10 to each side

8x-10+10 = 62+10

8x = 72

Divide each side by 8

8x/8=72/8

x = 9

Answer:I don't know if your answer is there:/ -6.858

Step-by-step explanation:

64.2

100

−7.5

=0.642−7.5

=−6.858

Answer:

the answer is B.

Step-by-step explanation:i passed on the quiz if you would like to do the math you can ^^

Answer:

The second answer is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Q: How much of the cylinder does the sphere fill

A: The sphere fills the whole cylinder

Step-by-step explanation:

The sphere's height, as written in the picture (The red words) says 2r and the same goes for the cylinder, therefore if they both say, "h = 2r" then it is evident that they both are equivalent. Therefore, the Sphere fills up the whole cylinder.

Answer:

$4

Step-by-step explanation:

Simple math

Answer:

this is a tought one but ima just say 19 in because i feel like this is in a pattern

Answer:

36, Triangle, +, +, 36

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

because i just got it right from khan

Answer:

3 <_ w and w <_ 9

Step-by-step explanation:

The <_ are underlined btw

Hope this helped!

Answer:

6√2

Step-by-step explanation:

This is a right triangle. The legs of a right triangle are the sides that make up the right angle, and the hypotenuse is the side opposite to the right angle. To find x, we will use the Pythagorean Theorem. This states that a² + b² = c², where a and b are the legs and c is the hypotenuse. Since we know that the legs are both x and the hypotenuse is 12, we can plug these values into our equation to get  x² + x² = 12².

2x²=144 → x² = 72 → x = √72, which simplifies to x = 6√2. Hope this made sense and helps!

Answer:

1815 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter =22

so the radius is d/2  = 22/2 =11

V = pi (11)^2 (15)

V = pi1815

V = 1815 pi cm^3

Answer:

I will answer when you explain what you mean by sample space.

Step-by-step explanation:

please do not delete.

Answer:

The Last Equation

Step-by-step explanation:

[tex]2(x+3)=32[/tex] is the same thing as [tex]2x+6=32[/tex].

Why? Because if you apply the distributive property...

[tex]2(x+3)=32\\2 * x =2x\\2*3 = 6\\\boxed {2x+6=32}[/tex]

You get what was mentioned in the question!

So, 2(x+3)=32 should have the same solution as 2x + 6 =32.

Brainilest Appreciated.

Answer:

The bottom choice, 2(x + 3) = 32

Step-by-step explanation:

2x + 6 = 32

Subtract 6 from both sides of the equation

2x = 26

x = 13

Substitute the new value for x into all of the possible equations

1) 2x = 38,       2)  x - 3 = 16        3)  x + 6 = 16       4)   2(x - 3) = 16        

13 * 2 = 38           13 - 3 = 16           13 + 6 = 16              2x - 6 = 16

26 = 38                 10 = 16                  19 = 16                 13(2) - 6 = 16

False                     False                    False                   26 - 6 = 16

                                                                                           20 = 16

                                                                                             False

5)  2(x + 3) = 32

     2x + 6 = 32

    2(13) + 6 = 32        

      26 + 6 = 32

          32 = 32

             True

              The last answer choice, (the 5th one down) is correct

                                              Hope this helps :)