The amount of flow through a solenoid valve in an automobile's pollution-control system is an important characteristic. An experiment was carried out to study how flow rate depended on three factors: armature length, spring load, and bobbin depth. Four different levels (low, fair, moderate, and high) of each factor were chosen, and a single observation on flow was made for each combination of levels.A) The resulting data set consisted of how many observations?

B) Is this an enumerative or analytic study? Explain.

Answer:

  1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

Answer:

Henry had the best record for the number of shots made

Step-by-step explanation:

From the given information.

Four friends are on a basketball team.

Henry

Allison

Arthur

Trevor

We are being told that Henry made 0.45  of his shots out of all his attempts

Allison made Arthur made of her shots  of his shots.

i,e Arthur did the work for Allison , so out of Arthur's shot , we have to  figured out Allison shots,

Trevor missed 58% of his shots.

i.e Trevor failed 0.58 of his shot, If he failed 0.58 shot

Then the attempts Trevor made is :

= 1 - 0.58

= 0.42

SO , Trevor made 0.42 shots out of all his attempt

N:B We are not given any information about Arthur's shots , so we can't determine Allison shot as well.

Therefore; we will focus on only Henry and Trevor shots

So ;

Henry made 0.45  of his shots

Trevor made 0.42 out of his shots

We can thereby conclude that :

Henry had the best record for the number of shots made

Answer:

x= 155°

straight line equals 180°

since you have a side that equals to 25°

you subtract

180°-25° = 155°

The answer is Diagram 4 or D

Explanation:

A Venn diagram is a type of model that represents sets, and their relationships. Additionally, each set is usually named with a letter and symbols such as ∪ or ∩ are used to represent specific zones of the diagram. In the case of the symbol ∩, this is used to represent the intersection between two sets. This means X ∩ Z represents the intersection between X and Z. Therefore, the correct representation is the fourth diagram, which shows in red only the intersection between these two sets.

Answer:

See below.

Step-by-step explanation:

None of the choices represent the intersection of sets X and Z, so there is some mistake with this problem. The question is not correct for these choices.

Answer:

Short answer A,B,D

Step-by-step explanation:

The ideas from the excerpt would be most appropriate to include in a summary are;

Summary is known to be a form of quick or short review of what has happened in a specific passage.

The summary  is regarded as a statement that present the main points of a passage as seen above.

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Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

Answer:

X=20

Step-by-step explanation:

The answer is C

Answer:

a= 7/20

b=35

Step-by-step explanation:

A was simple because 7 people with blue eyes for every 20 people written in fraction form. For b they say what if it was 100 total people so 20 x 5 = 100 so 7 x 5= 35 so your answer to b is 35

Answer:

(x+y)/xy or  (1/x + 1/y) portion of the leaves

Step-by-step explanation:

Let the total work done to rake the leaves be a for representation.

Thus,

given Maya takes x minutes to rake the leaves

thus,

work done by may in x minutes = a

dividing both side by x

work done by maya in x/x = 1 minutes = a/x

similarly

given Calra takes y minutes to rake the leaves

thus,

work done by may in y minutes = a

dividing both side by y

work done by maya in y/y = 1 minutes = a/y

__________________________________

Total work done by both in 1 minutes = a/x + a/y = a(1/x+1/y) = a(x+y)/xy

Thus, if a is the total work , then they do (x+y)/xy of a work in one minute.

Thus, (x+y)/xy portion of leaves do they rake in one minute if they work together.

Answer:

x= 4, y=3

Step-by-step explanation:

2x + 3y = 17

3x - 2y = 6

----------

If we double the first and triple the second equation, and add up, we can get rid of y:

Then it is easy to find the value of y:

Answer is: x= 4, y=3

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

Every number, when you raised to the second power is positive, therefore that inequality would be all real numbers.

[tex](-\infty, \infty)[/tex]

Answer:

term to term rule is +2

The first term is -8

80th term is 150

Step-by-step explanation:

70 to 72 is adding 2

72 to 74 is adding 2

term to term rule is +2

The equation for a sequence like this is

xn = a + d(n−1)

where n is the term number  a is the first term and d is the term to term rule

Using the 40th term is 70

70 = a + 2( 40-1)

70 = a + 2( 39)

70 = a + 78

Subtract 78 from each side

-8 = a

The first term is -8

80th term

xn = a + d(n−1)

x80 = -8 +2 (80-1)

     = -8+2(79)

    = -8+158

   = 150

Answer:

2/6 which when simplified, is equal to 1/3

Answer:

1/3

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Let's call the missing side x

This is a right triangle and in right triangles the square length of hypotenuse is equal to sum of square length of base and side lengths

53^2 = 28^2 + x^2

x = 45

Answer:

y=9x

Step-by-step explanation:

rise over run the rise is the y=9 and run is x=1.

9/1=9x

Answer:

26

Step-by-step explanation:

Given that:

At time, t=0, Billy puts 625 into an account paying 6% simple interest

At the end of year 2, George puts 400 into an account paying interest at a force of interest, 1/(6+t), for all t ≥ 2.

If both accounts continue to earn interest indefinitely at the levels given above, the amounts in both accounts will be equal at the end of year n. Calculate n.

In order to calculate n;

Let K constant to be the value of time for both accounts

At  time, t=0, the value of time K when Billy puts 625 into an account paying 6% simple interest is:

[tex]K = 625 \times (1+ 0.06 K)[/tex]

[tex]K = 625 +37.5 K[/tex]

At year end 2; George  amount of 400 will grow at a force interest, then the value of  [tex]K = 400 \times e^{\int\limits^2_k {\dfrac{1}{6+t}} \, dx }[/tex]

[tex]K =400 \times \dfrac{6+K}{6+2}[/tex]

[tex]K =400 \times \dfrac{6+K}{8}[/tex]

[tex]K =50 \times ({6+K})[/tex]

[tex]K =300+50K[/tex]

Therefore:

If K = K

Then:

625 + 37.5 = 300 +50 K

625-300 = 50 K - 37.5 K

325 = 12.5K

K = 325/12.5

K = 26

the amounts in both accounts  at the end of year n = K = 26

Answer:  b.  24(x + 2) = (y + 3)²

Step-by-step explanation:

Vertex: (-2, -3)

Focus:  (4, -3)

                  ↓

                same y-value so equation will be y²

Equation: a(x - h) = (y - k)²

Given: h = -2,  k = -3,   a = 4[4 - (-2)] --> a = 24

Input those values into the equation:  24(x + 2) = (y + 3)²

Answer:

See below.

Step-by-step explanation:

So, we have:

[tex]\sec(\theta)=-2/\sqrt{3}[/tex]

Recall that secant is simply the reciprocal of cosine. So we can:

[tex]\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2[/tex]

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

5π/6 +2nπ

and

7π/6 + 2nπ

Answer:

acute isosceles triangle

vertex angle, y =  44.0 degrees. (smallest angle)

Step-by-step explanation:

If the sides are in the ratio 4:4:3,

two of the sides have equal lengths, so it is an isosceles triangle.

Also, the sum of square of the two shorter sides is greater than the square of the longest side, so it is an acute triangle.

To find the smallest angle, we draw the perpendicular bisector of the base (side length 3) and form two right triangles.

The base angle x is given by the ratio

cos(x) = 1.5/4 = 3/8

Consequently the base angle is  arccos(3/8) = 68.0 degrees.

The vertex angle equals twice the complement of 68.0

vertex angle, y = 2 (90-68.0) = 44.0 degrees. (smallest angle)

Answer:

D. x^2 - 6x + 7.

Step-by-step explanation:

The roots are 3 plus or minus sqrt(2). That means the equation is...

(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])

= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]

= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2

= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)

= x^2 - 6x + 7.

Hope this helps!

the ancient Greek used the golden ratio

Answer:

An important proportion that the Ancient Greeks used was the Golden Mean, the a0

Step-by-step explanation:

Also known as Golden Ratio, Divine Proportion, or Golden Section

Answer:

[tex]x \geq -91/2[/tex]

Step-by-step explanation:

[tex]6(x+8) \geq -43 + 4x[/tex]

Resolving Parenthesis

[tex]6x+48 \geq -43 + 4x[/tex]

Collecting like terms

[tex]6x - 4 x \geq -43-48[/tex]

[tex]2x \geq -91[/tex]

Dividing both sides by 2

[tex]x \geq -91/2[/tex]

Answer:

x ≥ - 91 / 2

Step-by-step explanation:

In this sample problem, the first thing we want to do is expand the part in parenthesis through the distributive property. This will make the simplification process easier. Another approach would be to divide either side by x + 8, but let's try the first.

Approach 1 : [tex]6(x+8) = 6x + 6 8 = 6x + 48[/tex]

[tex]6x + 48 \geq - 43+4x[/tex] - so we have this simplified expression. We now want to isolate x, so let's combine common terms here. Start by subtracting 6x from either side,

[tex]48 \geq - 43-2x[/tex] - now add 43 to either side,

[tex]91\geq -2x[/tex] - remember that dividing or multiplying a negative value changed the inequality sign. Dividing - 2 on either side, the sign changes to greater than or equal to, with respect to x,

[tex]- 91 / 2 \leq x[/tex], or in other words [tex]x \geq - 91 / 2[/tex]. This is our solution.

Answer:

the answer is 1.00

Step-by-step explanation:

pls mark me as the brainliest and tell me thanks

Answer:

work is shown and pictured

Correct Answer would be

D: (2,3)

Answer:16.1%

Step-by-step explanation:

Answer:

The investment needs the rate of growth to be approximately 16.1%.

Step-by-step explanation:

Answer:

Definitely 3 hmmm..

Step-by-step explanation:

6/2=3 so 9/z=3

tfo 9/3=3

The missing variables have values of 12, 5, 9, and 3, respectively, for x, y, w and z.

Given that there are two similar polygons with dimension:

Larger polygon = 9, 6, w, 15, x.

Smaller polygon = z, 2, 3, y, 4.

We need to find the missing value of the side length.

According to the definition of the similar polygons, the corresponding sides shows proportionality.

9/z = 6/2 = w/3 = 15/y = x/4

Solving for each variable =

i) Solve for z:

9/z = 6/2

Cross-multiplying:

6z = 9 × 2

6z = 18

Dividing both sides by 6:

z = 18/6

z = 3

ii) Solve for w:

6/2 = w/3

Cross-multiplying:

2w = 6 × 3

2w = 18

Dividing both sides by 2:

w = 18/2

w = 9

iii) Solve for y:

6/2 = 15/y

Cross-multiplying:

6y = 30

Dividing both sides by 6:

y = 5

iv) Solve for x:

6/2 = x/4

Cross-multiplying:

2x = 24

Dividing both sides by 2:

x = 12

Hence the values of the missing variables are x = 12, y = 5, w = 9 and z = 3.

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Answer:

The standard equation of the parabola is:

[tex]y=-\frac{3}{2}x^2+12x-18[/tex]

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

[tex]y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2[/tex]

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

[tex]y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}[/tex]

Then the equation of the parabola becomes:

[tex]y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18[/tex]

Answer:

The Total of employees

=216 employees

Step-by-step explanation:

Ratio of men to women is 7 to 5

Meaning

Men/women= 7/5

If their are 90 women

Let men= x

X/women= 7/5

X= women *7/5

X= 90*7/5

X= 18*7

X= 126

There are a total of 126 men

The Total of employees=men + women

The Total of employees=126+90

The Total of employees

=216 employees

Answer: 17,203 people

Step-by-step explanation:

The formula for solving this is;

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

Where;

P(t) is the population at time t

[tex]P_{0}[/tex] is the initial population

t is the year of interest

dt is the amount of time it takes to double.

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

[tex]P(2) = 16,237 (2)^{2/24}[/tex]

=  17,202.50

= 17,203 people

Answer:

the answer is C

Step-by-step explanation:

hope this helps

The probability that the selected fish will not have a red fin or a green tail is 0.30.

To find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

G=fish has green tail

R=fish has red fin

G^R = fish has both a red fin and a green tail

P(G)=.54

P(R) = .18

P(G^R) = .02

P(GvR) = P(G) + P(R) - P(G^R) = .54 + .18 - .02 =

P(GvR) =.72 - .02 = .7

P(neither G nor R) = 1-.7 = .3 = 30%

So, the probability that the selected fish will not have a red fin or a green tail is 0.30.

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