the previous expression equals 0 by which of the following ? a)sum identity for cosine b) difference identity for sine c) difference identity for cosine d)sum identity for sine e) no identity is required. the previous expression simplifies to the right side of the identity

The minimum number of times the spinner should be spun to conduct a chi-square goodness-of-fit test is 100.

In order to use chi-square goodness-of-fit test, we must have expected frequency at least 5.

In the given table, the minimum probability is 0.05, so to fulfill the requirement of chi-square test we have to choose n such that expected frequency corresponding to 0.05 probability is at least 5.

We will do this by hit and trials.

Let n = 10

then,

expected frequency = n x p = 10 x 0.05 = 0.5 < 5

Let n = 25

then

Expected frequency = nxp = 25 x 0.05 = 1.25 < 5

Let n = 50

then

Expected frequency = nxp = 50 x 0.05 = 2.25 < 5

Let n = 100

then

Expected frequency = n x p = 100x 0.05 = 5

For n=100, expected frequency is 5.  That means the spinner should be spun at least 100 times.

Hence, to conduct chi-square goodness of fit test, the spinner should be spun minimum of 100 times.

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The complete question is as follows:

A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test.

Data is attached in the image below:

Answer:

Hi there!

Your answer is:

The length is 17

Step-by-step explanation:

L= 11+w

P=46

perimeter formula:

W+W+L+L = P

W+W+(11+w)+(11+w) = P

First solve for W

4W+22 = 46

-22

4w=24

/4

w=6

Now plug in W for the L formula

l=11+w

L= 11+ 6

L=17

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

c = 54

!!!_!£((£2((2)1)1)1

4 units, 6.93 units, 9.801 units, and 6.93 units are the missing lengths.

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Triangles are the focus of trigonometry, or more specifically, the connection between a right-angled triangle's angles and sides. A triangle has three sides: Hypotenuse, Adjacent, and Opposite. Trigonometric Ratio refers to the ratio between these sides based on the angle between them.

Here,

cos 60°=b/8

0.5=b/8

b=4 units

sin 60°=p/8

0.866*8=p

p=6.93 units

sin 45°=6.93/h

h=6.93/0.707

h=9.801 units

cos 45°=b/9.801

0.707*9.801=b

b=6.93 units

The missing lengths are 4 units, 6.93 units, 9.801 units and 6.93 units.

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The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

turn the 5/8 into 2.5/4 then add 1/4. Now it is 3.5/4. Add 3 + 6 = 9 so you add the 3.5/4 and it turns into 9 3.5/4. Subtract 3 and you get your answer?

                                         -Can I please have Brainliest

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

4*9

Step-by-step explanation:

It's obvious.

Answer:

The negative sign outside the absolute value function causes a few different things when multiplied. When a negative is multiplied outside of the function, the transformation that exists will be a vertical reflection.  A horizontal shift to the left 1 unit will happen because of g(x)=f(x+1). The graph will make a vertical shift down 2 units because of g(x)=f(x)−2. The value of (a) would be -1 and since it is less than 1, and it causes the graph to be wider because of vertical compression. Placing a minus sign outside absolute value bars gives you a negative result.

I hope this is what you were looking for and I hope it helps also you might need to recheck your answers on your paper. I will add a picture of my findings. Good Luck!

Answer:

The speed will be "144 mph".

Step-by-step explanation:

Let the speed of the plane be "x mph".

then,

The car's speed be "x-130 mph".

According to the question,

⇒ \(\frac{1440}{x} =\frac{400}{x-130}\)

By applying cross-multiplication, we get

⇒    \(1440(x-130)=400x\)

⇒ \(1440x-187200=400x\)

⇒    \(1440x-140x=187200\)

⇒                \(1300x=187200\)

⇒                       \(x=\frac{187200}{1300}\)

⇒                          \(=144 \ mph\)

Answer:

8

Step-by-step explanation:

17-(9+2)=8

The absolute error is 3 miles per hour and the percentage of error is 10%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

The absolute error is the absolute value of the difference between the measured value and the actual value.

In this case, the measured value is 33 miles per hour and the actual value is 30 miles per hour, so the absolute error is:

|33 - 30| = 3

Therefore, the absolute error is 3 miles per hour.

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The table of value for the given function is written and graphed below

The function s(x) = -0.7x^2 can be evaluated for different values of x to obtain corresponding values of s(x). We can create a table of values for s(x) by choosing a range of x-values and then plugging them into the equation and evaluating.

The table of values for the function s(x) = -0.72x^2 is

x s(x)

-5 -17.5

-4 -11.2

-3 -6.3

-2 -2.8

-1 -0.7

0 0

1 -0.7

2 -2.8

3 -6.3

4 -11.2

5 -17.5

We can use this value to plot a graph using a graphing calculator

Kindly find the attached graph below

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Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · ·  } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

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Answer:

the answer is 8.50h + 60 the other person is wrong.

Answer:

A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Answer:

x ≤ −2 or x ≥ 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: you should plot it a -3.2

Step-by-step explanation:

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Answer:

A) -3x2 - 22x - 24

Step-by-step explanation:

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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