If your null and alternative hypothesis are:

H0:p1=p2H0:p1=p2
H1:p1


Then the test is:

two tailed
right tailed
left tailed

Answer:

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Step-by-step explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4

The equivalent value of m is given by the expression m = 1

Given data ,

We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.

So, we have:

(-3)^(m+1) × (-3)⁵ = (-3)⁷

Using the property of exponents, we can add the exponents on the left-hand side:

(-3)^(m+1+5) = (-3)⁷

Simplifying the exponents on the left-hand side:

(-3)^(m+6) = (-3)⁷

We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:

m + 6 = 7

Subtracting 6 from both sides:

m = 1

Hence , m = 1 is the value that satisfies the equation

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The discount is 26%.

The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

Given:

\(\bold{Marked} \ \text{price} = \$25\)

\(\bold{Selling} \ \text{price} = \$18.50\)

So,

\(\text{Discount = MP - SP}\)

\(\text{Discount} = 25-18.50\)

\(\bold{Discount} = 6.50\)

Now,

\(\text{D}\% = \dfrac{\text{D}}{\text{MP}} \times100\)

\(\text{D}\% = \dfrac{6.5}{25} \times100\)

\(\text{D}\% = 26\%\)

Hence, the discount percent is 26%.

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Answer:

7.d

8.c

Step-by-step explanation:

I looked it up to make sure! Hope this helped!

There are 62,891,499 different lottery tickets you can choose for a 7/47 lottery where order is not important, and numbers do not repeat.

Using a combination formula, we may extract the number of alternative arrangements from a set of objects or numbers. The combination formula, however, enables us to select a necessary item from a group of items.

To calculate the number of different lottery tickets you can choose for a 7/47 lottery, where order is not important and numbers do not repeat, we can use the concept of combinations.

In a 7/47 lottery, you need to choose 7 numbers out of 47 without considering their order and with no repetition. This can be calculated using the combination formula.

The combination formula is given by:

C(n, k) = n! / (k!(n-k)!)

Where n! represents the factorial of n, which is the product of all positive integers up to n.

In this case, we have n = 47 (the total number of available numbers) and k = 7 (the number of numbers to be chosen).

Plugging these values into the combination formula, we get:

C(47, 7) = 47! / (7!(47-7)!)

Simplifying this expression, we have:

C(47, 7) = 47! / (7! * 40!)

Since the numbers are quite large, it's more practical to use a calculator or a computer program to compute the factorial values and perform the division.

Using a calculator or a program, we find that C(47, 7) is equal to 62,891,499.

Therefore, there are 62,891,499 different lottery tickets you can choose for a 7/47 lottery where order is not important, and numbers do not repeat.

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Answer:

y = 4x + 1

Step-by-step explanation:

Let's start with y = mx + b

Using the point (0, 1), we get 1 = b.

The slope is 4, so now we get y = 4x + 1

It aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

Although the standard deviation is a frequently used statistic, it rarely receives the attention it merits. Although the mean and median are frequently mentioned in the news, they are rarely accompanied by any indication of how diverse the underlying data set was, so you only get a partial picture. In actuality, you might be overlooking the most captivating aspect of the tale.

What is Standard deviation?

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

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Answer:

The two numbers are 182 and 210. I hope this will help you.

The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

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Answer: The answer is 38%

Answer:

Step-by-step explanation:

Step-by-step explanation:

three more than five times some number n

Answer:

99          pls five me brainiest

Step-by-step explanation:

180-123=57

180-57-42=81

180-81=99

The equation which has a value greater than 7,245 as required in the task content is; Choice D; three-halves times 7,245 equals = 10,867.5.

It follows from the task content that the value greater than 7,245 among the answer choices is to be determined.

First the value of each of the expressions can be evaluated as follows;

A. one-third times 7,245 equals = (1/3) × 7,245 = 2415.

B. two-thirds times 7,245 equals = (2/3) × 7,245 = 4,830.

C. three-thirds times 7,245 equals = (3/3) × 7,245 = 7,245

D. three-halves times 7,245 equals = (3/2) × 7,245 = 10,867.5

Ultimately, the required number which is greater than 7,245 is; Choice D; three-halves times 7,245 equals = 10,867.5.

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Answer:

Step-by-step explanation:

Graph of the equation 20x + 10 is plotted and the total cost  for 7 days is $150

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Ace Car Rentals that charges $20 per day plus a $10 service charge to rent one of its compact cars. The total cost can be represented by the equation y = 20x + 10, where [x] is the number of days and [y] is the total cost.

The graph of the equation 20x + 10 is plotted and attached. To find the total cost of renting the car for 7 days, find the y - coordinate corresponding to x = 7 on graph. See the graph [2]. We get the total cost of $150 for 7 days.

Therefore, graph of the equation 20x + 10 is plotted and the total cost  for 7 days is $150

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[Refer to image 3 for complete question]

Answer:

not simplified:12/14

reduced/simplified:6/7

Step-by-step explanation:

1/2 ÷ 7/12 =1/2×12/7=

1×12

-- -- = 12/14

2×7

and if simplified then you just do

12÷2=6

----

14÷2=7

Answer:

Step-by-step explanation:

i cant help sorry but it mite be 6

The probability that the rack ends up in alphabetical order is 1/9! or approximately 1.46 x 10⁻⁷.

The problem involves arranging 9 CDs out of 16 in alphabetical order in a CD rack. The total number of possible ways to arrange 9 CDs out of 16 is 16 choose 9, which equals 11440. Only one of these arrangements is in alphabetical order. Therefore, the probability of randomly selecting an alphabetical order is 1/11440, which is approximately 0.0000874 or 0.00874%. This is a very small probability, indicating that it is highly unlikely that the CDs will end up in alphabetical order by chance.

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The measures of angle B is derived as 75° to the nearest degree using the cosine rules.

The cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Using the cosine rule:

2² = 5² + (√45)² - 2(5)(√45)cosB

4 = 25 + 45 - 250cosB

4 = 70 - 250cosB

250cosB = 70 - 4 {collect like terms}

250cosB = 66

B = cos⁻¹(66/250) {cross multiplication}

B = 74. 6925°

Therefore, the measures of angle B is derived as 75° to the nearest degree using the cosine rules.

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Answer:

3/8 cups

Step-by-step explanation:

Divide both sides by 2 to get the value for 1/3 cup of water:

1/3 cup water = 1/8 cup of oil

Now, multiply each side of the equation by 3 to get 1 cup of water:

1 cup water = 3/8 cup of oil

hope this helps!

Answer:

m = 1

Step-by-step explanation:

slope intercept form --> y=mx+b

y=1x+0

therefore the slope is

m = 1

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

4500 increase it by 15%=675

4500+675=5175

Decrease 4% from 5175

4% of 5175=207

5175-207=4868

Answer=I think it’s b

There would be 4 remaining secret codes.

If an initial guess of three different colors is scored with two white key pegs, it means that two of the guessed colors are correct but not in the correct positions.

To determine the number of secret codes that remain, we need to consider the remaining possibilities.

Let's assume there are six different colors available for the secret code.

For the two colors that are correctly guessed but not in the correct positions, there are two possible positions for each color.

So, we can calculate the number of remaining secret codes using the formula:

Remaining secret codes = (Number of colors - Correctly guessed colors)^(Number of positions - Correctly guessed positions)

In this case, the number of remaining secret codes would be:

Remaining secret codes = (6 - 2)⁽³⁻²⁾ = 4¹ = 4

The complete question is:

The Number of colors is 6 and If an initial guess of three different colors is scored with two white key pegs, how many secret code remain?

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14 ft to 21 ft = 2 ft to 3 ft

Answer:

b = -7

Step-by-step explanation:

b is a variable meaning it is an unknown value

In order to solve for b, isolate it by adding 17 to both sides:

-5b = 35

and then dividing both sides by -5

b = -7

The required equation can be given as

y = 25 - 0.5x

For the football game marking the school's homecoming, Carly is making flags. Every flag needs 0.5 yards.

Carly purchased 25 yards of fabric in total.

So, Each flag requires 0.5 yards of fabric, and Carly bought 25 yards of fabric.

Also given

The quantity of flags Carly has made, x, determines the number of yards that are left to be covered, y.

The required equation can be given as

y = 25 - 0.5x

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Answer:

1. In the presence of restrictions; A player cannot win more than one scholarship;

The number of ways is 120 ways

2. In the absence of restrictions; A player can win more than 1:

The number of ways is 216 ways

Step-by-step explanation:

Here, to award the scholarships, the restrictions we might have is that a student cannot win more than 1 scholarship

Given this restriction;

The first scholarship has 6 possible contenders

The second has 5

The third has 4

So, the number of possible ways is;

6 * 5 * 4 = 120 ways

In the absence of no restrictions where a student can win any number of scholarships;

We have the 3 scholarships being awarded in 6 possible ways

So the total number of ways will be;

6 * 6 * 6 = 216 ways