Alguien me puede ayudar pls

The correct decision rule for a test hypothesis with a significance level of 0.02, with two tails, is given as follows:

C. Reject H0 if Zstat< -2.33 or Zstat > +2.33.

The decision regarding the null hypothesis depends on if the p-value is less or more than the significance level:

For a two-tailed test with a significance level of 0.02, the critical value is given as follows:

z = 2.33.

Hence the decision rule is given as follows:

Hence option C is the correct option for this problem.

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Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

Maclaurin series is an important series that represents functions as a sum of power series. This series is particularly useful in calculus because it helps in approximating functions and obtaining derivatives of the given function. Here, we are to find the Maclaurin series of the function f(x) = ex5/5.

Using the table of power series for elementary functions, we have: ex = 1 + x + (x²/2!) + (x³/3!) + (x⁴/4!) + ...On comparing f(x) with the given expression above, we can find the Maclaurin series for f(x) by substituting 5x in place of x in the above expression.

This is because the given function contains ex5/5, which is the same as e^(5x)/5. Therefore, the Maclaurin series for f(x) is: f(x) = (e^(5x))/5 = 1/5 + (5x)/5! + (25x²)/2!5² + (125x³)/3!5³ + (625x⁴)/4!5⁴ + ...= 1/5 + x/24 + x²/48 + x³/1440 + x⁴/17280 + ...The series will converge for all values of x because it is the Maclaurin series of a well-behaved function. This means that it is smooth and continuous, with all its derivatives defined and finite.

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Answer: 30

Multiply both sides by 6.

3 × 6 = 18

2 × 6 = 12

Add 18 and 12.

18 + 12 = 30

The answer is 30.

Answer:

10?

Step-by-step explanation:

we know she worked 7 hours this week, and were given the fact that its 3 hours less than last week, so we add the 3 hours to 7 and get 10 hours

Answer:

10

Step-by-step explanation:

3 + 7 = 10 You could also write it 7 + 3 = 10. Or what is the sum of 3 and 7.

Pls brainliest Thx! :D

Answer:

1 ft

Step-by-step explanation:

A^2+B^2=C^2

We have A and C

So 24+B^2=25

Subtract 24 from both sides

B^2=1

Square root both sides

B=1

Answer:

7 ft

Step-by-step explanation:

eh don't wana explain but I'm 80% sure that's the answer

With a $3000 budget, the skateboard club can purchase used equipment for approximately 75 students.

To calculate the number of students the skateboard club can purchase used equipment for, we need to determine the cost per student.

if every student needs to replace their skateboard helmet and pads, and the skateboard club has a budget of $3000, we can calculate the approximate number of students they can purchase used equipment for.

To determine this, we need to know the cost of a set of used skateboard helmet and pads.

However, we can provide an estimate by dividing the budget by the assumed cost per set.

Let's assume that the cost of one set of used equipment is $40. Dividing the total budget of $3000 by the assumed cost per set ($40), we get 3000 / 40 = 75 students.

Therefore, with a $3000 budget, the skateboard club can potentially purchase used equipment for approximately 75 students.

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In this scenario, "all people between the ages of 21 and 30" is an example of a population. The population refers to the entire group of individuals that the coffee shop chain is interested in studying, while the survey of 372 young people would be considered a sample taken from that population.

It is important to note that a population can be large or small, depending on the research context. In this example, the population consists of all individuals within the specified age range.

On the other hand, a sample refers to a subset of the population that is selected for data collection and analysis. In the given example, the survey of 372 young people represents a sample of the population. The sample is used to gather information about the larger population and draw conclusions or make inferences based on the sample data.

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Answer:

The answer is 1/√3

Step-by-step explanation:

I got it right on the exam :))

Make sure to read your question carefully so you don't get it wrong! Have a lovely day <33

both angle are equal

DCB is equals to FCA

The equation that represents q being inversely proportional to r is:

q = 4/r

This is because when we say that q is inversely proportional to r, it means that as one variable increases, the other variable decreases in such a way that their product remains constant.

In this case, we can see that if we multiply q and r, we get a constant value of 4.

This is not true for the other equations, so they do not represent q being inversely proportional to r.

Therefore, the equation q = 4/r is the only one in the given options that represents q being inversely proportional to r.

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The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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Based on the angles addition theorem, the measure of the original angle = 44°.

The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.

Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:

The measure of the original angle = (3+30)° + (5+6)°

The measure of the original angle = 33° + 11°

The measure of the original angle = 44°

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Answer:

Circumference ≈ 3.142 cm

Step-by-step explanation:

≈ basically means that it's an approximate value.

The formula to find the circumference of a circle is:

Circumference = 2πr

The diameter is given, but we can find the radius by halving the diameter.

radius = \(\frac{d}{2} \) = \(\frac{1}{2} \) = 0.5 cm

Now that we know the radius, we can add the radius into the formula and find the circumference.

Circumference = 2 × π × 0.5

Circumference = π × 1

Circumference ≈ 3.142 cm

The distance between the center of the circle to any point in the circle is called the radius of the circle. The student staying in the lounge connected to the said wifi will be in the range of the wifi.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The distance between the center of the circle to any point in the circle is called the radius of the circle, while the diameter is twice this distance.

Given that the range of the router, which services the wifi connection of the school has a diameter of 3.5 meters. Therefore, the radius of the wifi will be,

Radius = Diameter/2 = 3.5 meters / 2 = 1.75 meters

Now, it is also given that a router is located in the school library which is 1.5 meters away from the student lounge. Therefore, the distance between the school library and the lounge is less than the radius of the range of the wifi.

Thus, the student staying in the lounge connected to the said wifi will be in the range of the wifi.

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Answer:

$19.20

Step-by-step explanation:

The discount per pound is $0.20, so the cost per pound after the discount is $5.00 - $0.20 = $4.80 per pound.

You want to buy 4 pounds of candy, so the total cost before tax is 4 * $4.80 = $19.20

So, your total cost for 4 pounds of candy will be $19.20.

Answer:

total cost be, excluding tax = $19.20

Step-by-step explanation:

DISCOUNT:  $0.20 x 4 pounds = $ 0.80

Cost of 4 pounds   $5 x4 = $20

      $20 - $0.80 =   $19.20

The sample will remain after 5000 years is 1.14mg and it will take 0.7 years will only 18 mg of the sample remain

Look for a function that describes the mass that is left after t years.

Using the radioactive decay model mt = m0e^-rt:

m0 = 23mg, r=(ln2/1600) = -0.00043

A rate cannot be negative.

You probably mean r=0.00043

m(t) = 23e^-0.00043t

a) After 5000 years, how much of the sample will still be there?

t = 4000

m(4000) = 23e^(-0.00043)(5000) = 1.14 mg

(b) How long will it be till only 18 mg of the sample are left?

m(t) = 23e^-0.00043t

18 = 23e^-0.00043t

18/23 = e^-0.00043t

0.78/0.99 = t

t = 0.7 years

Hence, Only 1.14 mg of the sample will be left after 5000 years, and it will take 0.7 years for only 18 mg to be left.

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Answer:

can you help me in something please?

Answer:

Step-by-step explanation:

answer:

the answer is = 7/3

so the first one

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

      1        :   sqrt(3)  :          2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

The length of the longer leg is 9√3 inches.

A ratio indicates the number of times one number contains another.

Given that, the length of the hypotenuse is 18 inches.

The ratio of the lengths of the sides of a 30°-60°-90° triangle is:

Short leg: long leg: hypotenuse = 1 : √3 : 2

Since the hypotenuse is 18 inches, it follows that the value of 2 is 18:

2 = 18

1= 9

√3 = 9√3

Hence, the length of the longer leg is 9√3 inches.

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Answer:

123 degrees

Step-by-step explanation:

Angles in a quadrilateral add up to 360 degrees

so we add all the angles

114 + 80 + 43 which is 237

360 - 237 is 123

so angle x is 123 degrees

The interest on Ethan's CD account will be $700 * 1.8% = 12.6$ dollars after one year. Since the CD earns 1.8% interest each year, the interest will be the same amount each year, so the total interest on the CD after 6 years will be $12.6 * 6 = 75.6$ dollars. This means that the CD will be worth $700 + 75.6 = $775.6$ after 6 years.

Rounding to three decimal places, the 99% confidence interval estimate for the population proportion is approximately 0.138 to 0.362.

To compute the 99% confidence interval estimate for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± (Critical Value * Standard Error)

First, we need to find the critical value from the table for a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Next, we calculate the standard error using the formula:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Plugging in the values, we get:

Standard Error = sqrt((0.25 * (1 - 0.25)) / 100) ≈ 0.0433

Now we can calculate the confidence interval:

Confidence Interval = 0.25 ± (2.576 * 0.0433) ≈ 0.25 ± 0.1116

Rounding to three decimal places, the 99% confidence interval estimate for the population proportion is approximately 0.138 to 0.362.

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Answer:Oscar D

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

Answer:

The angle between the two sides of the right triangle is aproximately 31.003º.

Step-by-step explanation:

From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:

\(\cos \alpha = \frac{6}{7}\)

\(\alpha = \cos^{-1} \frac{6}{7}\)

\(\alpha \approx 31.003^{\circ}\)

The angle between the two sides of the right triangle is aproximately 31.003º.

Answer:

32 ft tall

Step-by-step explanation:

Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.

SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.

We know the tree's shadow is 48 ft.

--> 48/3 = 16

16 x 2 = 32

32 ft tall

Hope this helps!

Answer: 32ft tall

Step-by-step explanation:

9514 1404 393

Answer:

  ≈ 17.228101 cm

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

Filling in the given information, we have ...

  99 = (1/2)((x+4) +(x-9))(x -4) = (1/2)(2x -5)(x -4)

  198 = 2x^2 -13x +20

  2(x -3.25)^2 = 199.125

  x = 3.25 +√99.5625 ≈ 13.228101

Then the length of the larger base is ...

  x+4 = 17.228101 . . . cm

Answer:

The answer is 25.

Step-by-step explanation:

First, you solve 6+x=13. Minus 6 from each side. You get x=7.

Next, plug x into the equation 8x-31. You get 8(7)-31. Solve 56-31, which you then get 25.

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.