What is the radius of this sphere?

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Two Angles and the side between them are equal to corresponding Angles and side of another triangle ( one of the Angles are equal because of vertical opposite angle pair ), so the required congruency criteria to prove them equal is :

Answer:

ASA

Step-by-step explanation:

Answer:

x = -5.5

Step-by-step explanation:

-2x - 4 + 2x + 32 - 2x - 21 = 18​

-2x - 4 + 32 - 21 = 18

-2x + 7 = 18

-2x = 11

x = -5.5

So, the answer is x = -5.5

The administration's willingness to pay to save a student's statistics life is no more than option c) $100,000.

To estimate the administration's willingness to pay to save a student's statistical life, we need to calculate the cost per statistical life saved. Currently, the probability of a student dying from the plague is 1/3,000. If the rats are eradicated, this probability is reduced to zero. The cost of eradicating the rats is $1,000,000. To calculate the cost per statistical life saved, we divide the cost by the number of statistical lives saved.

The number of statistical lives saved is the product of the number of students on campus (30,000) and the reduction in probability (1/3,000).
Cost per statistical life saved = $1,000,000 / (30,000 * (1/3,000))
                         = $1,000,000 / (30,000 * 1/3,000)
                         = $1,000,000 / 10
                         = $100,000
Therefore, the correct answer is option c) $100,000.

To know more about the statistics, visit:

https://brainly.com/question/29359084

#SPJ11

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

For more questions like interest visit the link below:

https://brainly.com/question/18096283

#SPJ11

In this study, the group of students who take the exam in a regularly lit room can be considered the control group.

The control group provides a baseline or comparison for the experimental group (the group of students who take the exam in a dimly lit room). The control group helps to establish a cause-and-effect relationship between the independent variable (room lighting) and the dependent variable (test performance), as any observed differences in test performance between the two groups can be attributed to the difference in lighting conditions.

By having a control group, the researcher can ensure that any observed effects are due to the independent variable and not due to extraneous variables.

To know more about control group refer to:

brainly.com/question/25801453

#SPJ4

Answer:

The sum of all the geometrical figures in this questions equals 74 total sides - Quadrilaterals have four sides (rectangles, rhombi), Dodecagons have twelve sides, Hexagons have six sides.

5 Quadrilaterals - 4 * 5 = 20

4 Dodecagons - 12 * 4 = 48

1 Hexagon - 6 * 1 = 6

20 + 48 + 6 = 74 total sides.

In interval B the value of the function is negative. The correct option is B.

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In the given figure the function is increasing so positively in portion A, and after that, the function is decreasing so negatively in section B. After that, the function is again increasing so positive in section C.

To know more about functions follow

https://brainly.com/question/28761650

#SPJ1

Step-by-step explanation:

first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45

The cost of each wool ball will be $2.14.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Jessie bought 4 balls of wool to knit sweaters for her children and 5 balls of wool for herself. Then she spent $9.45 on knitting accessories. The total cost of the wool and the accessories was $28.71.

Let x be the cost of each wool ball. Then the equation will be

9x + 9.45 = 28.71

Simplify the equation, then we have

9x = 28.71 - 9.45

9x = 19.26

x = 19.26 / 9

x = $2.14

The cost of each wool ball will be $2.14.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

Know more about Standard deviation here,

https://brainly.com/question/29115611

#SPJ11

The equation of the other line is y = x + 1.

Equation of a line in slope intercept form can be written as y = mx + c, where m is the slope and c is the y intercept.

Given a line,

y = -3x + 5

Another line has a slope of 1. Let the slope intercept form of the equation be,

y = 1x + c

Given that graphs of two equations intersect has y- coordinate 2.

Let the x coordinate of the intersecting point be x.

Then the point (x, 2) passes through both lines y = -3x + 5 and y = 1x + c.

When substituting (x, 2) in y = -3x + 5,

2 = -3x + 5

-3x = -3

x = 1

So the intersecting point is (1, 2).

Substituting (1, 2) in y = 1x + c,

2 = 1 + c

c = 1

So the equation of the other line is y = x + 1.

Hence y = x + 1 is the equation of the other line.

Learn more about Equations of Line in Slope Intercept Form here :

https://brainly.com/question/29775618

#SPJ1

Answer:

$25,838

Step-by-step explanation:

Yearly salary

$

25,838

Monthly salary

$

2,153

Biweekly salary

$

994

Weekly salary

$

497

Daily salary

$

99.38

Hourly salary

$

13.25

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

To learn more about Null hypothesis here

https://brainly.com/question/28920252

#SPJ4

Step-by-step explanation:

Question 3 :

We have ,

Multiplying all three equations ,

=> a × b × c = bc * ac * ab

=> abc = a²b²c²

=> abc/a²b²c² = 1

=> 1/abc = 1

=> abc = 1

\(\rule{200}2\)

Answer:

C) Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

You have to go 5 steps back to the left of 3 to get to -2.

See attached drawing for visual assistance on this problem:

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

For more such questions on continuous data

https://brainly.com/question/17141874

#SPJ4  

Answer:

Option B: 600 is the correct answer.

Step-by-step explanation:

In order to solve this question, we will first find the probability or ratio of people out of 200 who will love to have pig as a pet

We know that

Sample size = n(S) = 200

Let A be the event that people will pick pig as pet

Number of people who pick pig = n(A) = 12

Thus the probability is:

\(P(A) = \frac{n(A)}{n(s)}\\= \frac{12}{200}\\= 0.06\)

0.06 is the probability for the sample of 200. To find it for the whole population we will simply multiply the probability with population size.

So,

\(=0.06*10000 = 600\)

Hence,

Option B: 600 is the correct answer.

Answer:

y=3x-4 (EQ.1)

y=-4x+10 ( EQ.2)

Step-by-step explanation:

On comparing equation 1 and 2

3x-4= -4x+10

3x+4x= 10+4

7x=14

x= 14/7

x=2

Put x in eq 1

y=3x-4

=3(2)-4

= 6-4

=2

Hence, x=2 and y= 2

A) System doesn't have a solution.

x-y=4

2x-2y=1

x=4+y

2(4+y)-2y=1

8+2y-2y=1

8≠1

B) System has one solution.

x-4y=0

2x+4y=3

x=4y

2(4y)+4y=3

8y+4y=3

12y=3

y=1/4

C) Every solution is right for the system.

x-2y=1

4x-8y=4

x=1+2y

4(1+2y)-8y=4

4+8y-8y=4

4=4

The predicted population for the year of 2020 is given as follows:

345,071.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameters for this problem are given as follows:

a = 25400, b = 1.11.

Hence the population in t years after 1995 is given as follows:

\(P(t) = 25400(1.11)^t\)

2020 is 25 years after 1995, hence the population is given as follows:

\(P(25) = 25400(1.11)^{25}\)

P(25) = 345,071.

The complete problem is:

"In the year 1995, the population of a town in Texas was recorded as 25,400 people. Each year since 1995, the population has increased on average by 11% each year. Based on the function what is the population predicted to be in the year 2020?".

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ4

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Step-by-step explanation:

5×6'3n=20

30'3n=20

3n=20-30

3n/3= -10/3

n= -3

Considering the graph, the cosine equation is given by:

\(y = 4\cos{\left(x - \frac{\pi}{4}\right)} - 8\)

It is modeled by:

\(y = A\cos{Bx + C} + D\)

In which:

In this graph:

Thus, the equation is:

\(y = 4\cos{\left(x - \frac{\pi}{4}\right)} - 8\)

More can be learned about sinusoidal functions at https://brainly.com/question/16818112

The points will  meet x when it is folded are C or E

A point is a location of an object by taking reference of origin, In general case we consider it at (0,0), At the origin value of both the coordinate position is considered as Zero, In simple words point indicates how much it is above or below from the coordinate axes.

Vertical distance from the x axis is known as y coordinate and horizontal distance from the y axis is known as x coordinate.

Given that,

A green colored Net,

After folding x point will  meet the points = ?

When we start folding,

First step,

Side ABCD and DEFG will be folded,

C and E will meet with each other

Second Step,

Side ABCD and AGHI will be folded,

B and I will meet with each other

Third step,

Side DEFG and AGHI will be folded,

F and H will meet each other

Fourth step,

Upper portion AHI will cover the upper portion BCF of the box

X will at position of C or E

Hence, the X will meet C or E

To know more about Point check:

https://brainly.com/question/2168690

#SPJ1

Answer:

Andy ran farther.

Andy 0.9

Chris 0.8

Step-by-step explanation:

8/10=0.8

Answer:

Andy

Step-by-step explanation:

When you convert the fraction Chris ran to decimals, it is 0.8 miles.

Since 0.9>0.8 Andy rand farther.

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer:

3.85inches

Step-by-step explanation:

7*0.55 or 3.85 inches

Hope this helps :D

Merry Christmas!

Answer:

3.85inches

Step-by-step explanation:

7*0.55 or 3.85 inches

Hope this helps ;D

Answer:

41.87 per hour

Step-by-step explanation:

Answer:

41.875 sf per hour

Step-by-step explanation:

Answer:

r = 3/5

Step-by-step explanation:

S_∞ = a/(1 – r)

A geometric series has first term 2 and sum to infinity 5.

1)Find the common ratio.

= S_∞ = a/(1 – r)

5 = 2/1 - r

Cross Multiply

5(1 - r) = 2

5 - 5r = 2

5 - 2 = 5r

r = 5 - 2/5

r = 3/5

2)Find the sum of the first 10 terms of the series.

The sum of the first 10 terms =

S

The probability that exactly one component meets specifications rounding the answer to five decimal places is F(X=1) = 0.00038.

To determine F(X=1), we need to calculate the probability that exactly one component meets specifications.

Since the components are independent, we can multiply their individual probabilities to find the probability that all other components do not meet specifications:

P(X=1) = P(first component meets specifications) * P(second component does not meet specifications) * P(third component does not meet specifications)

P(X=1) = 0.95 * (1 - 0.98) * (1 - 0.98)

P(X=1) = 0.95 * 0.02 * 0.02

P(X=1) = 0.00038

Rounding the answer to five decimal places, F(X=1) = 0.00038.

To learn more about probability click :

brainly.com/question/32117953

#SPJ11

The probabilities include:

1a) To find the probability of adding both times, use the formula: P(A and B) = P(A) × P(B)

There are 6 possible outcomes for each roll, so the sample space for rolling a die twice is 6 × 6 = 36.

There are 6 ways to get a sum of 7:

Each of these outcomes has probability 1/36, so the probability of getting a sum of 7 is 6/36 = 1/6.

Therefore, P(add both times) = P(sum of 7 or 8) = P(sum of 7) + P(sum of 8) = 1/6 + 1/6 = 1/3.

b) To find the probability of rolling an even number less than 5;

There are 2 even numbers less than 5: 2 and 4.

Each of these outcomes has probability 1/6, so the probability of rolling an even number less than 5 is 2/6 = 1/3.

c) To find the probability of getting the same number both times;

There are 6 possible outcomes where the same number is rolled both times: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6). Each of these outcomes has probability 1/36, so the probability of getting the same number both times is 6/36 = 1/6.

2a) The probability of getting heads on the first toss is 1/2. The probability of selecting a P from INDIANAPOLIS is 2/11 (since there are 2 P's in the word and 11 letters total). Therefore, P(heads, then P) = P(heads) × P(P) = 1/2 × 2/11 = 1/11.

b) The probability of getting tails on the first toss is 1/2. The probability of selecting an N from INDIANAPOLIS is 2/11 (since there are 2 N's in the word and 11 letters total). Therefore, P(tails, then N) = P(tails) × P(N) = 1/2 × 2/11 = 1/11.

3a) P(red, then yellow) = P(red) x P(yellow) = (10/24) x (2/24) = 5/144

b) P(both blue) = P(blue) x P(blue) = (4/24) x (4/24) = 1/36

c) P(both dimes) = P(dime) x P(dime) = (18/40) x (17/39) = 153/780

4a) P(penny, then dime) = P(penny) x P(dime) = (8/40) x (18/39) = 36/390 = 6/65

b) P(silver coin, then penny) = 2 x (P(quarter) x P(penny) + P(dime) x P(penny) + P(nickel) x P(penny)) = 2 x [(4/40) x (8/39) + (18/40) x (8/39) + (10/40) x (8/39)] = 64/390 = 32/195

c) P(both dimes) = P(dime) x P(dime without replacement) = (18/40) x (17/39) = 153/780

5. The probability of getting heads on a single toss of a fair coin is 1/2. Since each coin toss is independent, the probability of getting heads on seven tosses in a row is (1/2)⁷ = 1/128.

6. The probability that both Kevin and Mike make their next putts is the product of their individual probabilities: (16/21) x (9/14) = 48/98 = 24/49.

7. The probability that it does not snow on Monday is 1 - 8/9 = 1/9. The probability that it does not snow on Tuesday is 1 - 3/16 = 13/16. Since the events are independent, the probability that it does not snow on either day is (1/9) x (13/16) = 13/144.

8. The probability of guessing a multiple choice question correctly is 1/4 and the probability of guessing a true-false question correctly is 1/2. Since each question is independent, the probability of guessing all five answers correctly is (1/4)² x (1/2)³ = 1/128.

Find out more on probability here: https://brainly.com/question/24756209

#SPJ1