A researcher has 17 subjects and wants to construct a 99% confidence interval around a mean. What is the critical value (t or z) that the researcher needs to use in a confidence interval equation

Answer:

x=4

Step-by-step explanation:

both angles add up to 90* because it is a right angle

10x + 12x + 2 = 90

22x + 2 = 90

subtract 2 from both sides of the equation

22x = 88

divide both sides by 22

x = 4

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the area pollute sis assumed to be a circle, we will be using the formula for calculating the area of a circle to solve the problem.

Area of a circle A = πr²

r is the radius of the circle

The rate at which the area is increasing is expressed as dA/dt. According to chain rule, dA/dt = dA/dr*dr/dt where;

dr/dt is the rate at which the area is increasing.

If dA/dr = 2πr (by mere differentiation)

dA/dt = 2πr * dr/dt

Given dr/dt = 3ft/sec and r = 30feet

dA/dt = 2π(30) * 3

dA/dt = 180π ft/sec

Hence, the area is increasing at the rate of 180π ft/sec

-8 is the answer

Step-by-step explanation:

hope it will help you

Answer:

Step-by-step explanation:

7889

Answer:

Cost price = Rs. 280

Other expenses = Rs. 20

Total Cost =280+20=300

Selling Price = Rs. 337.50

Profit =337.50−300=37.50

Profit %= 37.5/300*100=12.5%

​

×100=12.5%

Step-by-step explanation:

Answer:

factorise form of

x²+2x = x(x+2)

Answer:

12 minutes

Step-by-step explanation:

To estimate the time for a trip that is 6 miles long, we need to solve for x in the equation y = 0.467x + 0.417, where y represents the distance in miles.

First, we substitute the value of y, which is 6:

6 = 0.467x + 0.417

Next, we subtract 0.417 from both sides:

5.583 = 0.467x

Finally, we divide both sides by 0.467:

x = 12

So, the estimated time for a trip that is 6 miles long is 12 minutes.

Answer:

let the missing angle be x

now

x+52.49+90=180(being the sum of traingle)

or,x=180-142.49

or,x=37.51

answer

Answer:

\(x=\frac{7-\sqrt{137} }{4} =-1.76\)

Step-by-step explanation:

Answer:

25 CHOCOLATE  COOKIE COST 6.25

25  OATMEAL COOKIE COST 5.00

Step-by-step explanation:

The value of x and y for given equation are (2,15) and (12,24).

Using hit and trial method, we can calculate that the values of given equation are (2,15) and (12,24)

The hit and trial approach is used to balance chemical equations by selecting the least whole number coefficient. tally the instances of each ingredient on either side of a reaction. The element with the lowest frequency of recurrence is considered to be balanced.

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Answer:

A

Step-by-step explanation:

There is a 50% chance of this correct

The probability of spinning a red, then green is 1/4.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.

The probability of spinning a red, then green is 1/4. This is because there are four equal parts on the spinner (red, blue, yellow, and green), and spinning red first and then green means that you have a 1 out of 4 chance of getting the desired result. Therefore, the numerator is 1 and the denominator is 4.

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Answer: It is 1/16

Step-by-step explanation: It said twice so you had to multiple 8 by 2 since there are 8 possible color panels.  

The missing lengths of each right triangle are, respectively:

Case 7: x = 5, y = 5√2 / 2
Case 8: x = 7, y = 7√2 / 2

In this problem we find two cases of right triangles whose internal angles are 45° - 45° - 90°, whose side relationships are listed below:

Now we proceed to determine the missing lengths:

Case 7:

Hypotenuse:

x = √2 × 5√2 / 2

x = 5

Leg:

y = 5√2 / 2

Case 8:

Hypotenuse:

x = √2 × 7√2 / 2

x = 7

Leg:

y = 7√2 / 2

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Step-by-step explanation:

You graph the X first and then the Y second. Graph ( 7, -30)

Answer:

-6

Step-by-step explanation:

(Y1-y2)\(x1-x2)=(-30--54)\(7-11)

=24\-4=-6

The value of x in the trapezoid is 117°.

A trapezoid is a quadrilateral a four-sided polygon with two parallel sides and two non-parallel sides. The parallel sides are most call the bases of the trapezoid, and the non-parallel sides are called the legs.

In a trapezoid, the opposite angles are supplementary. Therefore, we can set up an equation:

x + 63° = 180°

Solving for x, we get:

x = 180° - 63°

x = 117°

Therefore, the value of x in the trapezoid is 117°.

Full question "Find the value of x in the trapezoid below.

X

63°

X = = [?]°"

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The average time spent in line at the information booth with one server is approximately 1.67 minutes.

The average time spent in line can be calculated using Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.

First, we need to convert the arrival rate from customers per hour to customers per minute. Since there are 60 minutes in an hour, the arrival rate becomes 25/60 customers per minute.

Next, we need to calculate the average time spent in the system, which includes both the time spent in line and the time spent being served. The average service time is given as 2.0 minutes.

To find the average time spent in line, we can use the formula:

Average Time in Line = (Average Number of Customers in System) * (Average Service Time)

The average number of customers in the system can be obtained using the formula for the average number of customers in a queuing system with a Poisson arrival rate and exponential service time:

Average Number of Customers = (Arrival Rate) * (Average Service Time)

Substituting the values, we have:

Average Number of Customers = (25/60) * 2.0 = 25/30

Finally, we can calculate the average time spent in line:

Average Time in Line = (25/30) * 2.0 = 50/30 minutes or approximately 1.67 minutes.

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Answer:

two red chips and one blue would equal 15, three red chips and two blue would equal 26

Step-by-step explanation:

Find the area of the top face by doing base times height

Base = 7cm

Height = 9cm (as it is asking for the area of the TOP FACE, so we don't use 4).

7 x 9 = 63cm squared

Bottom face would be the same thing.

Answer:

-2x-10y-8

Step-by-step explanation:

Rearange terms

-2(x+4+5y)

-2(x+5y+4)

Distribute

Answer:

Below in bold.

Step-by-step explanation:

The slope of the line  = (101 - -9) / (-10 - 1)

= 110/ -11

= -10

The required equation is y  + 9 = -10(x - 1)

The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.

To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:

apothem = 30 × √3/2 = 25.980762

The area of a regular hexagon is given by the formula:

area = 3 × √3/2 × apothem^2

Substituting the value of the apothem, we get:

area = 3 × √3/2 × 25.980762^2 = 2247.72

Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.

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This suggests that there are less pupils who have studied Latin and Greek than there are, which is illogical. Hence, the provided data must contain a mistake.

The following equation can be used to determine the number of students who have studied both Latin and Greek:

Roman + Greek, both + neither, equals

We are informed that there are 15.7 pupils overall, 6. are enrolled in Latin, 3. are in Greek, and 3. are not enrolled. By entering these values, we obtain:

15.7 = 6 + 3 - Both + 3

When we simplify the equation, we obtain:

15.7 = 12 - Both

Both = 12 - 15.7

Both = -3.7

This suggests that there are less pupils who have studied Latin and Greek than there are, which is illogical. Hence, the provided data must contain a mistake.

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Answer:

Hi bub. Thanks for the points lol.

:D

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

lol

\(\displaystyle\\Answer:\ r=\sqrt{\frac{3V}{\pi h} } .\)

Step-by-step explanation:

\(\displaystyle\\V=\frac{1}{3} \pi r^2h.\\\)

Multiply both sides of the equation by 3:

\(3V=\pi r^2h.\)

Divide both sides of the equation by πh:

\(\displaystyle\\\frac{3V}{\pi h} =\frac{\pi r^2h}{\pi h} \\\frac{3V}{\pi h}=r^2\\ r^2=\frac{3V}{\pi h} .\\r*r=\sqrt\frac{3V}{\pi h} *\sqrt{\frac{3V}{\pi h} } \\r=\sqrt{\frac{3V}{\pi h} } .\\\)

The quadratic formula to find the roots:l = (60 ± √(60² - 4(1)(800))) / (2(1))simplify:l = (60 ± √(3600 - 3200)) / 2l = (60 ± √400) / 2simplify:l = 30 ± 10l = 20 or l = 40The length of the garden can be between 20 ft and 40 ft.

The area of a rectangle is the product of the length and width of the rectangle. We can use the formula to write an equation in terms of the length of the rectangle given that the area of the rectangle must be at least 800 ft²:A = lw800 = lwmultiply both sides by w:800/w = lWe know that the gardener has 120 ft of deer-resistant fence.

The perimeter of a rectangle is the sum of the lengths of all four sides of the rectangle. We can use the formula to write an equation in terms of the length of the rectangle given that the gardener has 120 ft of deer-resistant fence:P = 2l + 2w120 = 2l + 2wmultiply both sides by 1/2:60 = l + wsubtract l from both sides:60 - l = wWe want to find the range of possible values for the length of the garden

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let's simplify :

Correct option is D

Answer:

\(D.7 \sqrt{3}\)

Step-by-step explanation:

\(\sqrt{147}\)

Factor 147= 7²× 3.

Rewrite the square root of the product \(\sqrt{7^{2} \times 3}\) as the product of square root \(\sqrt{7^{2} } \sqrt{3}\).

Then take the square root of \(7^{2}\)

\(\longmapsto7\sqrt{3}\)

________________________

Answer:

ΔABC has: AD=DB

                  AE = EC

=> DE is the median line of ΔABC

=> DE // BC

=> m∠AED = m∠ECF = 32°

.

Step-by-step explanation:

Answer:

∠ ECF = 32°

Step-by-step explanation:

DE is the midsegment of Δ ABC and is therefore parallel to the third side BC.

Since DE and BC are parallel lines, then

∠ ECF and ∠ AED are congruent ( corresponding angles ) , thus

∠ ECF = ∠ AED = 32°