Find the area; reduce to lowest terms:

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

Mean = 8 inches, standard deviation = 0.25 in, For < 7.55 in:

z = (7.55 - 8) / 0.25 = -1.8

P(z < -1/8) = 0.0395

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

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Answer:

yes thats right 161,743 vinyl records were sold in 1967.

Answer: 7<x<37

Step-by-step explanation:

Answer:

(x - 7)² = 9

Step-by-step explanation:

x² - 14x + 40 = 0 ( subtract 40 from both sides )

x² - 14x = - 40

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 7)x + 49 = - 40 + 49

(x - 7)² = 9

Answer:

[tex]\sf (x-\boxed{\bf7}\:)^2=\boxed{\bf9}[/tex]

Step-by-step explanation:

First of all, let's move the constant term to the right side of the equation:-

[tex]\sf x^{2} -14=-40[/tex]

To complete the square we'll take half of the coefficient of our x term, square it, and add it to both sides of the equation. Since the coefficient of our x term is -14 ,half of it would be -7 and squaring it gives us 49.

[tex]\sf x^2-14x+49=-40+49[/tex]

Now, we can rewrite the left side of the equation as a squared term.

[tex]\sf (x-7)^2=9[/tex]

_____________________

Hope this helps!

Have a great day!

Answer:

23

Step-by-step explanation:

trust me this is not the answer I got it wrong hope it helps a little

The perimeter of the face PQR is 84 cm.

The perimeter of an object is the sum of the lengths of the sides of the object.

Given that, there are two similar triangular prisms. Figure 2 is similar to figure 1 by a scale factor of 4.

We know that, the ratio of the perimeters of similar objects is equal to their scale factor.

Therefore,

P(ABC) / P(PQR) = 1/4

21 / P(PQR) = 1/4

P(PQR) = 84

Hence, the perimeter of the face PQR is 84 cm.

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#SPJ5

Answer: y+3=0.5(x-8)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

2 to the power of 4 + 16

3 to the power of 2 = 9

so, 16 + 9 is 25...

Step-by-step explanation:

[tex] {2}^{4 + } {3}^{2} [/tex]

=2x2x2x2+3x3

=16+9

=25

Answer:

[tex]x=7, x=-3[/tex]

Step-by-step explanation:

Bring the 21 on the LHS:

[tex]x^2-4x-21=0[/tex]

At this point we need to find two numbers whose product is -21, and whose sum is -4.

From the product we can tell that one has to be positive, and one is negative.

From the sum, we can tell that the greater of the two is negative.

At this point we look at the factors of 21: 1,3,7,21.

In particular, 3 and -7 added togheter do -4, which is what we need. At this point we can factor the trinomial as

[tex](x-7)(x+3)=0[/tex]

Considering that a product is zero if any of the factors is zero, it's:[tex]x-7=0 \rightarrow x=7\\x+3=0 \rightarrow x=-3[/tex]

The equation has one solution and it is x = 91/30

Let's take a glimpse at the solution

[tex]6 + 9( - 3x + 9) = \frac{3}{2} (2x + 4) - 10[/tex]

[tex]6 - 27x + 81 = \frac{3}{2} \times 2(x + 2) - 10[/tex]

[tex]6 - 27x + 81 = 3(x + 2) - 10[/tex]

[tex]6 - 27x + 81 = 3x + 6 - 10[/tex]

[tex] - 27x + 81 = 3x - 10[/tex]

[tex] - 27x - 3x = - 10 - 81[/tex]

[tex] - 30x = - 91[/tex]

[tex]x = \frac{91}{30} [/tex]

Answer:

x=0,(m+n)

Step-by-step explanation:

Answer:

DC

Step-by-step explanation:

So the series is

Answer:

b.  DC

b.  15

Step-by-step explanation:

Point A = center of circle

The widest part of the circle is the diameter.  The diameter is a straight line that touches the circumference of the circle and passes through the center of the circle. Therefore, the diameter is DC, and this is the longest line segment.

The radius of a circle is a straight line from the center of the circle to a point on the circumference.  Therefore, AE = radius of the circle.

The radius of a circle is half the length of the diameter.

Therefore, if AE = 7.5, then DC = 2 × 7.5 = 15

How to find input and output from the co-ordinates on the graph?

Here the co-ordinate having x=2 is

So the output is 0

Every pair have ( x , y ) which means x is input and y is output .

Here , input is 2 (x)

then , let output be y ( indicate with 0 )

So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .

Answer:

B. y=-10,250

C. 6 payments

Sorry for my terrible handwriting.. Hope this helps tho! Have a great day/night!

Answer:

B

Step-by-step explanation:

answer is B, 4,375 ft^3

[tex]V= \frac{lwh}{3}=\frac{25 x 35 x 15}{3} = 4 ,375ft^3[/tex]

(x = multiplication symbol)

Answer:

163 degrees

Step-by-step explanation:

because the whole circle is 360 degrees and the other side would be 163 as it's the same angle.

Answer:

3600/p

Step-by-step explanation:

i think it's the last option because you cannot add or subtract the partners from the profit.

The factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c[/tex]

Suppose two numbers are there as 'a' and 'b'.

Then, we get:

[tex](a+b)(a-b) = a(a-b) + b(a-b) = a^2 -ab + ab - b^2 = a^2 - b^2\\(a+b)(a-b) = a^2 - b^2[/tex]

For the considered case, factoring the considered expression [tex]16x^8 - 1[/tex] by rewriting it as:

[tex]16x^8 - 1 = (4 \times 4 \times x^4 \times x^4) - 1^2 = (4x^4)^2 -1^2\\\\\\[/tex]

Now, since we've got [tex](a+b)(a-b) = a^2 - b^2[/tex], therefore,

[tex]16x^8 - 1 = (4x^4)^2 -1^2\\16x^8 - 1 = (4x^4 +1 )(4x^4 - 1)[/tex]

The second term can also be factored using same property, as shown below:

[tex]16x^8 - 1 = (4x^4 +1 )(4x^4 - 1) = (4x^4 + 1)((2x^2)^2 - 1^2) \\16x^8 - 1 = (4x^4 + 1)(2x^2 + 1)(2x^2 - 1)\\\\\text{Rearranging the terms, we get}\\16x^8 - 1 = (2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

Therefore, the factors of the expression specified is given by: Option B: [tex](2x^2 - 1)(2x^2 + 1)(4x^4 + 1)[/tex]

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Answer:

Option B

Step-by-step explanation:

I took the test.

Answer:

The second choice

Step-by-step explanation:

Answer: Felipe's work!

Step-by-step explanation:

Answer:

I'm not so sure but it's 90°

Answer:

472.5 Miles

Step-by-step explanation:

1:15

10:150

20:300

30:450

.5:7.5

30x+1x+5x=450+15+7.5=472.5 miles

Answer: 11

In rectangle diagonals are equal and bisect each other.

Therefore,

2×4x=88

8x=88

x=88÷8

x=11

Step-by-step explanation:

Answer:

  (c)  $1062.50

Step-by-step explanation:

The total of the rental and security deposits amounts to two and a half months' rent:

  2.5 × $425 = 1062.50

It will cost Blake $1062.50 to move in.

Answer:

The cordinate is (7,6)

Step-by-step explanation:

First you count how many squares (units) until you are directly under P. Then you cound how many squares up it is till you get to P. 

Have an amazing day!

Please rate!

Answer:

7,6

Step-by-step explanation:

cuz yes

Answer:

5 is the answer of the question

Answer:

He rent the bike for 2 hours.

Step-by-step explanation:

5x + 13= 23

I honestly just 13+5= 18

Then 18+5= 23

That is how I knew it was 2 hours.

It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.

Answer:

12^15

Step-by-step explanation:

(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.