Assuming the pattern continues, what is S12 for the series−8 − 15 − 22 − 29 − …? −565 −85 −510 −558

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

Find more exercises on Type II error;

https://brainly.com/question/29689920

#SPJ1

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

1/4 of 0.25

Step-by-step explanation:

2/4 x 2/4 = 1/4

Answer:

A=b×h

A=3x5

A=15

ggggggggggg

Answer:

-45 is the answer good luck

Answer:

-45 is your answer hope this helps

The probability that each guest got one roll of each type is 3/1, which is a fraction with a numerator of 3 and a denominator of 1. Since the numerator and denominator are relatively prime integers, the value of m + n is 3

The equation for the probability that each guest got one roll of each type is m/n, where m and n are relatively prime integers.

We can expand this equation to

m/n

= 3/1.

Since the numerator and denominator are relatively prime integers, we can solve for m + n by multiplying both sides of the equation by 1.

Multiplying both sides of the equation by 1 gives us

m + n = 3.

Therefore, the value of

m + n is 3.

Let m = numerator and n = denominator in the probability of m/n.

Given that each guest got one roll of each type, the probability is m/n.

The numerator and denominator are relatively prime integers, so m and n have no common factors.

Therefore,

m + n = 3.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

7/8X-8=216      

x=256

7/8x-8=216

     +8  +8

7/8x=224

7/8    7/8

x=256

Step-by-step explanation:

The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.

here we have the scale factor

\(Scale \ Factor=\dfrac{1}{3}\)

Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.

\(\dfrac{1}{3}=\dfrac{UV}{U'V'}\)

\(\dfrac{1}{3}=\dfrac{UV}{33}\)

\(UV=11\)

Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

To know more about Scale factor follow

https://brainly.com/question/25722260

#SPJ1

Answer:

11×-2x= -22

11×3= 33

-22+33=11

11x

brainiest please

Answer:

$1,657.82

Step-by-step explanation:

435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance

1,657.82

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer: 9 shirts I think

Step-by-step explanation: 54/6=9

Answer:

\(Pr = 0.140625\)

Step-by-step explanation:

Given

\(n = 5\) --- questions

\(options = 4\) ---- a, b, c or d

Required

The probability that 1st correct question is the 3rd

The probability of selecting the right answer is:

\(p = \frac{1}{options}\)

\(p = \frac{1}{4}\)

\(p = 0.25\)

Using complements, we have:

\(q = 1-p\)

\(q = 1-0.25\)

\(q = 0.75\) --- probability of selecting the wrong answer

The required probability is represented as:

Pr = First is wrong * Second is wrong * Third is correct

\(Pr = q * q * p\)

This gives

\(Pr = 0.75 * 0.75 * 0.25\)

\(Pr = 0.140625\)

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides of a right triangle and trig functions of the acute angles. It tells you ...

The given triangle shows values of an acute angle and its opposite side. You are to find the other two sides in the triangle, as well as the other acute angle.

X is the side adjacent to the given angle, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(25°) = (4 ft)/X

Solving for X gives ...

  X = (4 ft)/tan(25°) . . . . . . . . multiply by X/tan(25°)

  X ≈ 8.58 ft

Y is the hypotenuse, so the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(25°) = (4 ft)/Y

  Y = (4 ft)/sin(25°) . . . . . . multiply by Y/sin(25°)

  Y ≈ 9.46 ft

The sum of angles in a triangle is 180°, so if one of them is 90°, the sum of the other two is 90°.

  Z = 90° -25°

  Z = 65°

Answer:

296

Step-by-step explanation:

8 plants × 37 on each = 296 cucumbers

Answer: 296

If you multiply the 37 green cucumbers each by the 8 cucumber plants they grew from, you'd end up with 296 green cucumbers altogether.

Answer:

Step-by-step explanation:

The approximate cost of one vitamin is $0.04 thus option (A) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given number of pills and cost.

The cost per pill from the first raw = $2.05/50 = $0.041

The cost per pill from the second raw = $4.10/100 = $0.041

The cost per pill remains constant in all so this is a direct proportion.

Hence "The approximate cost of one vitamin is $0.04".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

The complete structured question is below,

Answer:

1/9

Step-by-step explanation: This is because 2/3 then you divide by 6 to get 1/6.

Answer:

$26.91

Step-by-step explanation:

Multiply $2.99 with 9.

Reason is that its $2.99 a gallon for gas and you need 9 gallons to fill up your vehicle

That equals $26.91.

Answer:

$26.91

Step-by-step explanation:

Since 1 gallon costs $2.99, multiply 2.99 by 9.

2.99 x 9

= $26.91

It will cost you $26.91 to fill up your tank that holds 9 gallons.

Answer:

Total proportion of samples that break during shipment \(1.42\) %

Step-by-step explanation:

Let the total number of glasses shipped is equal to \(100\)

\(58\) % of the glasses are shipped in large packets \(\frac{58}{100}*100 = 58\)

\(42\) % of the glasses are shipped in small packets \(\frac{42}{100}*100 = 42\)

Number of broken glasses in small package \(= \frac{2}{100} * 42 = 0.84\)

Number of broken glasses in large package \(= \frac{1}{100} * 58 = 0.58\)

Total proportion of samples that break during shipment

\(\frac{0.84 + 0.58}{100} *100 = 1.42\) %

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

Answer:

t = √1.5/g

Step-by-step explanation:

1/2gt^2 = 3

Divide both sides by 1/2

gt^2 = 1.5

Divide both sides by g

t^2 = 1.5/g

Square root both sides

t = √1.5/g

La cantidad de dinero que le falta a Ricardo es 8,888 pesos.

Sabemos que Ricardo planea comprar una pantalla plana que cuesta 18,485 pesos por el momento sólo tiene 9,597 pesos, y queremos ver cuanto dinero le falta.

Para ver esto, debemos tomar la diferencia entre el valor de la pantalla plana y la cantidad de dinero que Ricardo tiene, entonces tendremos:

18,485 pesos - 9,597 pesos = 8,888 pesos.

Entonces concluimos que Ricardo necesita 8,888 pesos para la pantalla plana.

Aprende más sobre diferencias en:

https://brainly.com/question/17695139

#SPJ1

Answer:

They can write 3\4 of a speech in 1 hour

Step-by-step explanation:

Half of a half is 2/3 Split that in half and get 3\4

Answer:

%10.44

Step-by-step explanation:

1) 67-60=7

2)7÷67=0.1044776

Round it and change it to percent

=%10.44

Answer:

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

Answer:

There are a total of 5/35 ways that you and your friend are both chosen

Step-by-step explanation:

ap3x

Answer:

These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x

Step-by-step explanation:

Answer:

y=-4x+1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-1,5) and has a slope of -4.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -4. So you can right away fill in the equation for a line somewhat to read:

y=-4x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-1,5). When x of the line is -1, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-1,5).

So, why not plug in for x the number -1 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-1,5). y=mx+b or 5=-4 × -1+b, or solving for b: b=5-(-4)(-1). b=1.

The equation of line passes through the point (-1, 5) will be;

⇒ y = - 4x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-1, 5).

And, The slope of line is,

⇒ m = - 4

Now,

Since, The equation of line passes through the point (- 1, 5).

And, Slope of the line is,

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 5 = - 4 (x - (-1))

⇒ y - 2 = - 4 (x + 1)

⇒ y - 2 = - 4x - 4

⇒ y = - 4x - 4 + 2

⇒ y = - 4x - 2

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

a z-test for the proportional difference is the proper hypothesis test.

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

Learn more about deviation here:

https://brainly.com/question/23907081

#SPJ1