What is the solution(s) to the equation 5a2 - 44 = 81?
A
+25
B
-5
55
D
1125

Answer:

The probability of juniors whose score is at or below =0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 0.1587 = 15 percentage

Step-by-step explanation:

Explanation:-

Given mean of the Population (μ) = 73

Given standard deviation of the Population(σ) = 7

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{66-73}{7} = -1[/tex]

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]

                = 1 - P( Z>Z₁ )

                = 1-( 0.5 +A( Z₁)

               = 0.5 - A(-1)

             = 0.5 - A(1)    (∵ A(-1) = A(1))

            = 0.5 - 0.3413

           = 0.1587

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]  = 0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 15 %

Answer:

2m+3/5=3

2m+3= 5 x 3

2m+3=15

2m=15-3

2m=12

m=12/2

m=6

9514 1404 393

Answer:

  Triangle Angle Sum

Step-by-step explanation:

Corresponding angles applies to parallel lines crossed by a transversal, or to angles in similar figure. The term has no meaning in this geometry.

Supplementary angles refers to a pair of angles that have a sum of 180°. Usually these are seen in quadrilaterals and figures involving parallel lines. The term has no meaning in this geometry.

The Pythagorean theorem relates side lengths in a right triangle. It has no utility in this geometry. Here we're concerned with angles, not sides.

__

The theorem useful for finding x is the Triangle Angle Sum theorem, which tells you the sum of angles in a triangle is 180°. That theorem lets you write a linear equation involving x, so that x can be found.

_____

  (3x -2) +(x +8) +(2x +3) = 180

  6x +9 = 180

  x = 171/6 = 28.5°

The three angles are 36.5°, 60°, 83.5°.

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

Answer:

25%

Step-by-step explanation:

6400/1600=4

1/4= 25%

Answer:

2:1 not really sure but I tried

Step-by-step explanation:

The first triangle is double the first one.

15/2= 7.5

Not really sure but I tried.

Answer:

yes yes yes yes yes yes yes yes yes yes yes yes yesyes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

If F of x is 3, you would implement it into the equation. F(3)= -3(3)-2= -9-2= -11

Answer:

120cm

Step-by-step explanation:

it 120 cm because of length×with×hight

Step-by-step explanation:

given

3y + 6x = - 3

writing in slope intercept form y = mx + c

3y = - 3 - 6x

y = -3/3 - 6x /3

y = - 1 - 2x

y = -2x - 1

m = - 2

c = - 1

Hope it will help :)

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

9 and -9

Step-by-step explanation:

The distance between both are 18, and they are opposites because one is positive, and the other is negative.

Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

Answer:

That's what pops up, on a scratch

Answer:

The equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Step-by-step explanation:

We need to find the equation of line, with the given slope passes through the given point.

Slope m = -4

Point: (-2,-9)

We need to find slope and y-intercept of the line.

The slope of line is given m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, we can find y-intercept

The formula used will be: [tex]y=mx-b[/tex]

Putting values of: y= -9, x =-2 and m = -4

[tex]y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17[/tex]

So, y-intercept b = -17

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

[tex]y=mx+b\\y=-4x-17[/tex]

Writing equation in required form i.e. of Ax + By = C

[tex]y=-4x-17\\4x+y=-17[/tex]

So, the equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Answer:

[tex]x=3[/tex]

[tex]y=1[/tex]

Step-by-step explanation:

We can subtract the first equation from the second to find the value of [tex]y[/tex], although we can also do this vice versa.

[tex]x-x=2y+1-y-2[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]x = y+2[/tex] (pick any equation for substitution)

[tex]x=1+2[/tex]

[tex]x=3[/tex]

Hope this helps :)

Answer:

Hello,

the above question requires more information for anyone to be able to answer.

In the abscence of that, the total weight of the two heaviest peaches can be obtained by simply summing the individual weights of the two heaviest peaches.

If for instance there are 13 peaches and the two heaviest peaches weight 5Kg and 5.5 kg respectively, the weight of the two would translate to the following:

Step-by-step explanation:

5 +5.5= 10.5Kg

Cheers!

Answer:

A and E

Step-by-step explanation:

9^3 / 9^3

Same number on top and bottom so 1 is an answer

look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1

Answer:

A. 1 and E. 9^0

Step-by-step explanation:

9/9 = 1

You can check this by actually solving the problem:

9^3 = 9*9*9 = 729

So...

729/729 = 1

Also, any number to the power of zero is one, so 9^0 is also a correct answer

Answer:

36

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

[tex]z = 6 - 11 \\ = - 4[/tex]

Answer:  think its A because that little square box is a angle of a angle triangle.i won't get my answer right. cool

Step-by-step explanation: i can't explain this

Answer: a = 8;  b = 15;  c = 17

Step-by-step explanation:

c = b + 2  and c = 2a + 1

b = c − 2 and a =  [tex]\frac{c-1}{2}[/tex]

​

c² = b² + a²  

[tex]c^{2} = (c-2)^{2} + \frac{c-1}{2}\\[/tex]

[tex]c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}[/tex]

[tex]4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c[/tex]

[tex]4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c[/tex]

[tex]c^{2}-18c+17=0[/tex]

[tex]c(c -17)-1(c-17)=0[/tex]

​[tex](c -1)(c-17)=0[/tex]

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = [tex]\frac{17-1}{2} = 8[/tex]

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\[/tex]

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

Answer:

13/30

Step-by-step explanation:

Add: -1/

3

+ 2/

5

= -1 · 5/

3 · 5

+ 2 · 3/

5 · 3

= -5/

15

+ 6/

15

= -5 + 6/

15

= 1/

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - minus one third plus two fifths = one fifteenth.

Subtract: 1/

2

- the result of step No. 1 = 1/

2

- 1/

15

= 1 · 15/

2 · 15

- 1 · 2/

15 · 2

= 15/

30

- 2/

30

= 15 - 2/

30

= 13/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus one fifteenth = thirteen thirtieths.

Step-by-step explanation:

9 can be written as a product of 3 and 3

9=3×3 ( because 3 is a prime no. as it has two different factors ,i.e. 3 and 1)

Step-by-step explanation:

so we start using repeated division to find 9 as a product of primes.

First divide 9 by the smallest prime factor it has.

9/3=3

Next, divide the result (3) by the smallest prime factor it has.

3/3=1

Once you reach 1, which we just did, you have finished.

Now collect all the results you have.

3x3

There you go, 9=3x3, as a product of primes.

or 3^2, if you want to write it in index notation.

This works for any integer.

Answer:

They had 98 marbles

Answer: V = 56.5486678 m3

there's the full answer.

you'd round it to 57

Answer: 2%

Step-by-step explanation:

As the loan was only for a year at simple interest, find out how much of $2,000, $40 is:

= 40/2,000

= 2%