Sims has 2 packets of seeds, packet A and packet B. There are 12 seeds in packet A and 7of these are sunflower seeds. There are 15 seeds in packet B and 8 of these are sunflower seeds. Alia is going to take a random seed from packet A and a seed from packet B (a) complete the probability tree diagram.

The complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.

Following are the steps involved

[tex]5x^2+15x-4=0[/tex]

divide both side by 5

[tex]x^2+3x-\frac{4}{3}=0[/tex]

add 9 on both sides of the equations

[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]

[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]

Therefore we the complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

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Answer:

A

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

The total number of options is given by:

N = 2 x 5 = 10.

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Answer:

First, add totals to the table (see attachment)

Let S = Sourdough

Let C = With cheese

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}[/tex]

[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]

[tex]\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}[/tex]

For independent events S and C,

[tex]\sf P(S \cap C)=P(S)P(C)[/tex]

[tex]\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}[/tex]

[tex]\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}[/tex]

[tex]\sf Then \quad P(S \cap C)\neq P(S)P(C)[/tex]

So the events are NOT independent

Answer: You can buy 11 DVD’s with $165

Step-by-step explanation:

165 divided by 15= 11

The value of the x of the equation x² + 2x = 24 is negative 5 and negative 1, then the correct option is A.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression equation is given below.

f(x) = x² + 6x + 5

On factorization, we have

     x² + 6x + 5 = 0

x² + 5x + x + 5 = 0

   (x + 5)(x + 1) =0                    

                    x = -1, -5

The value of x is –5 and –1.

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Answer:

A) -5 and -1

Step-by-step explanation:

Got it right on edge!

Answer:

47.6

Step-by-step explanation:

35% x 136

= (35/100)*136

_________________

Step 1: In the given case Output Value is 136

Step 2: Let us consider the unknown value as x

Step 3: Consider the output value of 136 = 100%

Step 4: In the same way, x = 35%

Step 5: On diving the pair of simple equations we got the equation as under

136 = 100% (1).

x = 35% (2).

(136%)/(x%) = 100/35

Step 6: Reciprocal of both the sides results in the following equation

x%/136 = 35/100

Step 7: Simplifying the above obtained equation further will tell what is 35% of 136

x = 47.6%

Therefore, 35% of 136 is 47.6

Heating and Cooling Degree Days

Degree days are based on the assumption that when the outside temperature is 65°F, we don't need heating or cooling to be comfortable. Degree days are the difference between the daily temperature mean, (high temperature plus low temperature divided by two) and 65°F. If the temperature mean is above 65°F, we subtract 65 from the mean and the result is Cooling Degree Days. If the temperature mean is below 65°F, we subtract the mean from 65 and the result is Heating Degree Days.

Step-by-step explanation: Example 1: The high temperature for a particular day was 90°F and the low temperature was 66°F. The temperature mean for that day was:

( 90°F + 66°F ) / 2 = 78°F

Because the result is above 65°F:

78°F - 65°F = 13 Cooling Degree Days

Example 2: The high temperature for a particular day was 33°F and the low temperature was 25°F. The temperature mean for that day was:

( 33°F + 25°F ) / 2 = 29°F

Because the result is below 65°F:

65°F - 29°F = 36 Heating Degree Days.

The calculations shown in the two examples above are performed for each day of the year and the daily degree days are accumulated so that we can compare months and seasons.

Answer:

B. There is only one base for a pyramid.

D. The faces of pyramids are traingles.

E. The faces of prisms are rectangles.

Step-by-step explanation:

The difference between a pyramid and a prism is:

There is only one base for a pyramid.

The faces of pyramids are triangles.

The faces of prisms are rectangles.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The number of vertices is always equal to the number of sides for a prism but not a pyramid.

The faces of pyramids are triangles while the faces of prisms are rectangles.

A prism has two parallel bases and its other faces are rectangles.

A pyramid has a single base and its faces are triangles.

A prism also has the same number of vertices as its number of sides, but this is not true for a pyramid.

Thus,

The difference between a pyramid and a prism is:

There is only one base for a pyramid.

The faces of pyramids are triangles.

The faces of prisms are rectangles.

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Answer: Random Sampling

Step-by-step explanation:

The act of collecting data that are representative of the population data is called random sampling.

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is [tex]\frac{2}{18}[/tex], and [tex]\frac{2}{18}~-- > ~0.111[/tex] rounded to nearest thousandth.

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When n columns of S (eigenvectors of A) are independent, then:

(a) A is invertible is a false statement.

(b) A is diagonalizable is a true statement

Others are:

(c) S is invertible true  statement.

(d) S is diagonalizable false statement.

Note that if n columns of S (eigen vectors of A) are said to be independent.

One can deduce or see that the eigen vector that is similar to the eigen value is said to be = 0 and one can say it is linearly independent when viewed with the other eigen vectors of A.

But because to the zero eigen value of A, we see that the determinant of A is the output of eigen values of A which is = 0 and as such, A is not invertible.

So, the linear independence of eigen vectors will not be able to find the invertibility of A and as such A is diagonalizable.

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Answer:

Answer depends on the value you put

Step-by-step explanation:

let's say a= 3 and x =4 then,

or 3*4 -w = 3

or 12 - w = 3

or -w = 3- 12

or -w = -9

or w = 9

just put any value in a and x and you will get the answer

15 people liked country, and 10 people liked opera, so 10+15 = 25.

25 people combined

Answer:

5^15

Step-by-step explanation:

Using the laws of powers, you can multiply 5^3 out of its bracket and get 5^27. Then, once again, using the laws of powers, you can get 5^15 by subtracting the powers.

Answer:

(5^3)^9/5^12 is equivalent to 5^15

Step-by-step explanation:

Begin by simplifying (5^3)^9

To make it much easier, apply the power rule. (a^x)^y = a^xy)

Multiply 3 x 9 = 27... so we get 5^27

Next, instead of dividing 27/12, which will result in a decimal..you must do 27-12, which is applying the quotient rule.  (a^x / a^y = a^x-y)

5^27/5^12 = 5^27-12 = 5^15

( When I use /, it signifies to divide.)

So,  (5^3)^9/5^12 is equivalent to 5^15! Hope this helps! :D

There are 264 male students in the high school containing 600 students.

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 600 students altogether, hence:

Number of freshmen = (1/5) * 600 = 120

Number of other graders = 600 - 120 = 480

Number of male freshmen = 120 - (0.4 * 120) = 72

Number of male other graders = (1 - 3/5) * 480 = 192

Total number of male = 72 + 192 = 264

There are 264 male students in the high school containing 600 students.

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Answer:

28

Step-by-step explanation:

4 x 77 / 11 x 1  =  308 / 11

308/11 = 28    11/11 = 1

the answer is 28 / 1

Hey there!

4/11 of 77

= 4/11 * 77/1

= 4(77) / 11(1)

= 77(4) / 1(11)

= 77 + 77 + 77 + 77 / 11

= 154 + 154 / 11

= 308 / 11

= 28

Therefore, your answer is: 28

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

BC ≈ 18.7

Step-by-step explanation:

using the sine rule in Δ ABC

[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )

[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )

BC × sin80° = 20 × sin67° ( divide both sides by sin80° )

BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )

Answer:

13 units

Step-by-step explanation:

Distance formula:

d = [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

In this problem,

d = [tex]\sqrt{(7 - 2)^2 + (4 - -8)^2}[/tex]

d = [tex]\sqrt{(5)^2 + (12)^2}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d =      [tex]\sqrt{169}[/tex]

d = 13

Answer:

A (0,6)  B (6, 1)  C (2,2)

Step-by-step explanation:

A (4, 4)

  [-4, 2]

Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates

Image Coordinates:

A----->A¹(0,6)

B----->B¹(2,3)

C----->C¹(-2,4)

Answer: Most customers who rate their service as high quality return for additional services.

Step-by-step explanation: just took the test :)

Answer:

7/20

Step-by-step explanation:

There were 20 tries, and 7 of them(blue picks) were desired outcomes.

Answer:

haha hut dog hahah ayoko nga

Answer:

the nets are for 3Dshapes

Step-by-step explanation:

the drawing shown are nets

Answer:C. 38.14

Step-by-step explanation:

The required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.

Given that,
The number of hours the employee worked each week for seven consecutive weeks was 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.

The mean of the values is the ratio of the total sum of values to the number of values.

here,
According to the question,
Mean = Sum of the working hours/number of weeks
Mean = 38 + 37. 5 + 38. 25 + 35. 75 + 39. 5 + 39. 5 + 38. 5 / 7
Mean = 267/7
Mean = 38.14

Thus, the required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.

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Answer:

5 Hours

Step-by-step explanation:

Bob needs atleast 4 hours to do his work

Ted needs atleast 6 hours

Bob is going to help ted speed up a little

2.4 and 2.1 are to fast because bib needs 4 hours and ted needs 6 so the meet in the middle and get 5.

Hope this helps!

Answer:

p=-10

Step-by-step explanation:

6=-2(p-5)/5

6=-2p+10/5

x5 to both sides to get rid of denominator

30=-2p+10

-10 from both sides to get rid of it on the right

20=-2p

divide by -2 from both sides to get p by itself to know its value

20/-2=-10 so....

p=-10

Answer:

1,708?

Step-by-step explanation:

pretty sure this is the answer