if test scores for an exam were normally distributed with a mean of 75 and a standard deviation of 5, find the probability that a randomly selected student scored less than 82.

The exponents' best option will be determined by

a + b's value is seven.

How often a number is multiplied by itself is indicated by the exponent.

For instance

In this case, 2 is multiplied by 4

Now in ( m times)

The base is designated as a, and the power is designated as m.

There are some indexing laws.

[tex]1)a^m \times a^n = a^{m+n}\\2)\frac{a^m}{a^n} = a^{m-n}\\3) (a^m)^n = a^{mn}\\4) (ab)^m = a^mb^m\\5) a^0 = 1\\6) a^{-m} = (\frac{1}{a})^m[/tex]

Here,

[tex](2^a)(2^b) = 128\\[/tex]

[tex]2^{a+b} =2^7[/tex] [According to laws of indices]

[tex]a + b = 7[/tex]

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Complete Question

If [tex](2^a)(2^b) = 128\\[/tex], then a  + b is equal to?

Answer:

D

Step-by-step explanation:

(-4^2) = 16 not -16

since,

you cant raise a number to an even power and get a negative value

The first step to solve this question is to find the values of h(-5) and g(-2)

In order to do that, you need to use the value of x=-5 in the function h(x) and x=-2 in the function g(x).

So we have that:

Now we can calculate the product of h(-5) and g(-2):

So the value to fill the blank is -68.

Answer:

(-3,6)----> (0,5)

(9,-8)----> (6,-9)

Step-by-step explanation:

The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.

Answer:

0

Step-by-step explanation:

use a calculator =)

or

[tex]\sqrt[3]{125} = 5\\\sqrt{25} = 5\\ so , 5 - 5 = 0[/tex]

The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is [tex]\frac{X-5}{5}[/tex],  for the line with a slope 1/5 and passing through the point ​(-4​, -5​).

Finding the slop form using the formula  [tex]m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }[/tex]

The equation for x.

Here m=1/5.

∴  [tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]

[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4)

[tex]\frac{1}{5}[/tex] × X+5 = Y+4

X+5= 5Y+2O

X=5Y+20-5

X=5Y+15

∴Point-slop for X is X=5Y+15.

Solving for Y.

[tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]

Simplifying and Solving.

[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4), Taken  0n  X-(-5) the right side.

       [tex]\frac{1}{5}[/tex] × X+5 = Y+4

X+5= 5Y+2O

X+5-20=5Y

X-15=5Y

Taking 5 0n the right side.

[tex]\frac{X-15}{5}[/tex] = Y

∴ Point-slop form for Y is [tex]\frac{X-5}{5}[/tex]

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{3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

A function has three important parts, domain, codomain and Range.

The domain of the relation R is the set of arguments i.e. first members of each ordered pair and the codomain is the set of which the values i.e. second members of all the ordered pairs.

In the Given relation

R={(3,-1)(6,4)(8,4)}

All the values in x place are domain values.

The domain equals all of the x values which are r on the left in a ordered pair

x= {3, 6, 8}

Hence  {3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}

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omg what is the......................

when the minute hand rotated through 1260° time will became 5:30 PM

Complete angle:-

                             A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.

      In an hour or in 60 minute, minute hand covers a 360° angle.

   According to question,

                              initially it is 2:00PM,that is minute hand at 12 and hour hand at 2

       it is given that minute hand has rotated through 1260°

                        1260° = 3 x 360° + 180°

                                                             which means minute hand will have three complete rotation and one half rotation.

            when minute hand rotated through 360° angle then hour hand will move from 2 to 3.

              And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.

             Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.

           As of now, minute hand have taken three complete rotation and so hour hand reached at 5

                 Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.

           So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.

            hence,  time will be 5:30 PM

                            Option A is correct

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Answer:

Dennis needs to sell 54 more

Step-by-step explanation:

Answer:

hello!

Step-by-step explanation:

firstly lets convert the mixed fraction into a single fraction itself

thats 5/4

if each rope contributes to 5/4 meters then a rope with 8 pieces would be 5/4 x 8 which gives you the answer 10

Answer:

The result of [tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + \sqrt{45} - \sqrt{28} [/tex] is [tex]\tt{}6\sqrt{ 5} - 4 \sqrt{7}. [/tex]

Step-by-step explanation:

[tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + \sqrt{45} - \sqrt{28} [/tex]

[tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + 3\sqrt{5} -2 \sqrt{7}[/tex]

[tex]\tt{}6\sqrt{5} - 4 \sqrt{7}[/tex]

It is important to always label your numeric answers with unit labels on order not to confuse others and to understand what it illustrates.

An example is when solving for the area of a shape abd the person writes cm³. This means volume and is incorrect.

A graph labelling is the process of assigning labels, which are often represented by integers, to the edges and/or vertices of a graph in the field of mathematics known as graph theory.

The information you need to obtain the answer must first be considered after you have determined what the challenge is asking for. You draw attention to certain aspects of the issue. After that, you label them so you can keep them organized and avoid becoming confused by them.

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Answer:

-5 1/3

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

A negative times a negative is a positive. So your answer will be positive.

When multiplying a whole number times a fraction, you multiply the whole (big) number times the top number (numerator) and just keep the bottom number (denominator) the same.

5 × 1/3

Is 5×1 on TOP and just keep the 3 on the bottom.

(5×1)/3

5/3

5/3 is the best answer, but if you are being asked for a "mixed number" then 5/3 is the same as 1 2/3.

By using distributive property, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

In order to quickly solve equations, a number is distributed across the integers in the brackets. When using the distributive property of multiplication, for instance, to resolve the expression 4(2 + 4), we would do so as follows: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.

We have,

[tex]-3\left(7x^{2}+3x\right)[/tex]

Using Distributive Property, A(B+C) = AB+AC

[tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]

Hence, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]

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Answer:

See below

Step-by-step explanation:

Number of distinct variations:

3

[tex]\left[\begin{array}{ccc}1&5\\2&4\\3&3\end{array}\right][/tex]

The answer to x + y = 6 can pretty much be anything that equals 6 but in addition so for example 3 + 3!

Answer: 54 Degrees

Step-by-step explanation:
Supplements add up to 180 deg.
Ang. #1 + Ang. #2 = 180 Deg
Angle 1=10y+46
Angle 2= 6y+6
16y+52=180 deg
16y=128
y=8
Since angle #2 is 6y+6, plugin y=8 6(8)+6=54 deg

:)

The measure of the angles is m∠SAU= 24°

The incenter is the point at which all of the attitude bisectors meet in the triangle, like within the video. It is not always the middle of the triangle.

In triangle ABC, V is the incenter of the triangle.

Since, m∠SAV = 26°

And m∠SBV = 2(m ∠SAV)

                    = 2 × 26°

                    = 52°

Since Property of the incenter of a triangle;

Therefore, DG = EG = GF = 10

Since, m∠A + m∠B + m∠C = 180°

2(18)° + 34° + 2(m∠SAU) = 180°

2(m∠SAU) = 180° - 132°

m∠SAU= 24°

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Answer:

28

Step-by-step explanation:

2 x 7 = 14

Number should be in between 26 and 31

So,

14 x 2 = 28

28 has one of its prime factors as 2 and 7.

Hence,

28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.

Answer:

Step-by-step explanation: Given prime factors: 2, 7

 By multiplying, 2 X 7= 14

 Given, number is between 26 and 31

       therefore, 14 X 2= 28 (since 2 is a prime factor)

        ans: 28

Answer:

Let's say you have a table with spots for 10 plates and each plate can hold 1 pie. But 7 plates are missing from the table. You place your pies in each spot anyway. Out of those 10 spots available, only 3 have both pies and plates.

Answer:

Perimeter

P = 24.2

Step-by-step explanation:

Perimeter

P = 9 + √(6^2 + 6^2) + √(3^2 + 6^2) = 24.2

Answer:

the prime factorization of 7850 is 2, 5, 5, 157

Answer:

Step-by-step explanation:

The distance between two points is represented by the following equation;

Therefore, if the endpoints of WX are (-5,-1) and X(2,6):

Answer:

x=8

larger angle=113

smaller angle=67

Step-by-step explanation:

8x+3=a(Vertically opposite angle)

a+14x+1=180°(Angles between parallel line)

8x+3+14x+1=180°

22x+4=180°

22x=176°

x=8

The formula for calculating simple interest is expressed as

I = PRT

where

I represents the interest

P represents the principal or initial amount invested

R represents the interest rate

T represents the time in years

From the information given,

P = 11750

R = 7.5%

Recall, percentage is expressed in terms of 100. Thus,

R = 7.5/100 = 0.075

T = 3

By substituting these values into the formula,

I = 11750 x 0.075 x 3

I = 2643.75

Total interest = 2643.75 rupees

Total amount = principal + total interest

By substituting the values,

Total amount = 11750 + 2643.75

Total amount =

Answer: 11750 + 2643.75

Step-by-step explanation:

The formula for calculating simple interest is expressed as

I = PRT

where

I represents the interest

P represents the principal or initial amount invested

R represents the interest rate

T represents the time in years

From the information given,

P = 11750

R = 7.5%

Recall, percentage is expressed in terms of 100. Thus,

R = 7.5/100 = 0.075

T = 3

By substituting these values into the formula,

I = 11750 x 0.075 x 3

I = 2643.75

Total interest = 2643.75 rupees

Total amount = principal + total interest

By substituting the values,

Total amount = 11750 + 2643.75

Answer: -960... It seems like a really big answer but it's right!

Step-by-step explanation:

Answer:

0.75 cups

Step-by-step explanation:

each batch needs 2 tablespoons your doing 6 batches so 6x2 is 12 and 12 tablespoons is 0.75 cups

Answer: Every 15 minutes he runs a mile. 60 / 4 = 15

I hope this helps or answers the question needed