We want to conduct a hypothesis test of the claim that the population mean germination time of strawberry seeds is different from 15.8 days. So, we choose a random sample of strawberries. The sample has a mean of 16 days and a standard deviation of 1.4 days. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 1.1. 1. z = ___________ 2. t = ___________ 3. It is unclear which test statistic to use. (b) The sample has size 20, and it is from a normally distributed population with an unknown standard deviation. 1. z = ___________ 2. t = ___________ 3. It is unclear which test statistic to use.

The probability that all the numbers rolled are distinct is 0.015.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that suppose six 6-sided dice are rolled. The probability of the numbers rolled are distinct is calculated as,

Probability = 6! / 6⁶

Probability = ( 720 ) / ( 46656)

Probability = 5 / 324

P = 0.015

Therefore, the probability that all the numbers rolled are distinct is 0.015.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Answer:

Number of story books bought = 100

C.P. of each book = Rs. 135

C.P. of all 100 books = Rs. (135×100)= Rs. 13500

C.P. of 90 books = Rs. (135×90)= Rs. 12150

Number of books donated = 10

Number of books sold = 100-10=90

Loss% in the transaction = 2%

S.P. of all books = (C.P./100)(100-loss%)

                         =Rs. (12150/100×98)

Thus, S.P. of each book

= Rs. {(12150/100×98)÷90}

= Rs. (12150/100×98/90)

= Rs. 132.3

Step-by-step explanation:

nos of books=100

cp=13500 total

donation=10

remaining books=90

sp=cp-Loss%of cp

sp=13500-2×135

sp=13500-270

sp=13230Rs

Is the total sp of 90 books

each book is sold at 13230/90Rs (use calculator to get result

Answer: practice 2.  8 inches   practice 3. 220\(ft^2\)  

practice 4. 78° , 78° , 102° , 102 ° Practice 5. 12.5

Step-by-step explanation:

Answer:

9 9/10

Step-by-step explanation:

10

55/10 +42/10=97/10=9 7/10

Answer:

360,000

Step-by-step explanation:

We have shown that ((P v T) → (SR)) is Equivalent to (SP) PR.

The following is the answer to the given query: 1. (PVT)-(S-R) :

PRTo demonstrate that the given expression is equivalent to PR,

we need to use the following logical rules and laws: Commutative Law, Associative Law, Identity Law, Distributive Law, and Double Negation Law.(PVT)-(S-R) = (PVT)∩(S∩R')' = (P∩V∩T)∩(S∩R')' = [(P∩V)∩T]∩(S∩R')' = (S∩R')'∩[(P∩V)∩T] = (S'∪R)∩[(P∩V)∩T] = (S'∩(P∩V)∩T)∪(R∩(P∩V)∩T) = [(S'∩P)∩V∩T]∪[(R∩P)∩V∩T] = (SP)'∩V∩T∪(RP)'∩V∩T = (SP∩V∩T)'∪(RP∩V∩T)' = PR. Hence, the given expression is equivalent to PR. 2. SHOW (-S-P)

To demonstrate that the given statement is equivalent to ~(S∨P), we must utilize the De Morgan Law.(S∨P)' = S'∩P' = ~S∩~P. Therefore, ~S∩~P is the negation of (S∨P). Because the given statement is -S-P, which is the negation of (S∨P). As a result, (-S-P) is equivalent to ~(S∨P).3. ((P v T) → (SR))

Show: (SP) PR ~Using the Conditional and Conjunction Rules, we can see that the given expression is logically equal to the following:(P∨T)'∨(S∧R)' = P'∧T'∨S'∨R' = (P∧T)∨S'∨R' = [(P∨S')∧(T∨S')]∨R' = (PS')'∨(TS')'∨R' = (PS')'∨(TS')'∨(PR)' = [(P∨R')∧(S'∨R')]∨[(T∨R')∧(S'∨R')] = (P∨R')∨(T∨R')∧(S'∨R') = (P∨T∨R')∧(S'∨R') = [(P∨T)'∧(S∨R)]' = [(SR)∨(PT)']' = (SR)∧(PT)'' = (SR)∧(PT) = (SP)∧(PR) because (PR) and (SP) are equivalent. Hence, we have shown that ((P v T) → (SR)) is equivalent to (SP) PR.

for more questions on Equivalent .

https://brainly.com/question/2972832

#SPJ8

Answer:

1) y=-8

2) y=0

Step-by-step explanation:

I just plugged it in for the domain (x)

(honestly its been a while since I've done tis so I'm only about 74% sure)

The derivative f'(x) for the function f(x) = (8x - 9)^(-4) is f'(x) = -32(8x - 9)^(-5).

To find the derivative f'(x) of the function f(x) = (8x - 9)^(-4), we will use the chain rule. The chain rule states that if we have a function g(h(x)), then the derivative g'(x) = g'(h(x)) * h'(x).

Step 1: Identify the inner function (h(x)) and outer function (g(x)). In this case, h(x) = 8x - 9 and g(x) = x^(-4).

Step 2: Find the derivatives of the inner and outer functions. For h(x) = 8x - 9, the derivative h'(x) = 8. For g(x) = x^(-4), using the power rule, the derivative g'(x) = -4x^(-5).

Step 3: Apply the chain rule. The derivative f'(x) = g'(h(x)) * h'(x). So, f'(x) = -4(8x - 9)^(-5) * 8.

Step 4: Simplify the expression. f'(x) = -32(8x - 9)^(-5).

So, the derivative f'(x) for the function f(x) = (8x - 9)^(-4) is f'(x) = -32(8x - 9)^(-5).

To know more about Derivative refer here:

https://brainly.com/question/30365299

#SPJ11

Answer:

\(x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\)

Step-by-step explanation:

The quadratic equation is as follows :

\(7x^2=9+x\) ...(1)

The solution of a quadratic equation \(ax^2+bx+c=0\) is given by :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

Equation (1) can also be written as follows :

\(7x^2-9-x=0\\\\7x^2-x-9=0\)

Here, a = 7, b = -1 and c = -9

\(x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s\)

Neglecting negative value.

So, it will hit the ground in 1.2 s.

Answer:

D

Step-by-step explanation:

Edge 2021 hope this helps :)

The price of the dishwasher that is regularly at $519. 89 after a 70% discount in liquidation is calculated to be $155.97.

To calculate the discounted price, we subtract the discount amount from the regular price.

Given that the regular price of the dishwasher is $519.89 and the discount is 70% off, we can calculate the discount amount as follows:

Discount amount = 70% of $519.89

Discount amount = (70/100) * $519.89

Discount amount = $363.92

Subtracting the discount amount from the regular price:

Discounted price = $519.89 - $363.92

Discounted price = $155.97

Therefore, the price of the dishwasher after a 70% discount is $155.97.

The correct answer is c. $155.97.

To know more about calculating discounts, click here: brainly.com/question/26548995

#SPJ11

The total area of the given figure is 34 square meter.

The figure can be divided into two triangles and one rectangle. The triangle at one end is 3 m long and 4 m high, while the triangle at the other end has a base of 4 m and a height of 3 m. The rectangle in between has a length and width of 4 m.

The total area of the triangles is 1/2 ×Base×Height= 1/2×3×4 + 1/2×4×3

= 18 m²

The total area of the rectangles is 4 × 4 = 16 m²

The total area of the figure is 18 + 16 = 34 m²

Therefore, the total area of the given figure is 34 square meter.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

the measure of the angle between the vectors u and v is 45 degrees.

To find the measure of the angle between two vectors, u and v, we can use the dot product formula:

u · v = |u| * |v| * cos(θ)

where u · v is the dot product of u and v, |u| and |v| are the magnitudes of u and v respectively, and θ is the angle between u and v.

First, let's calculate the dot product of u and v:

u · v = (-7)(-4) + (0)(4) = 28

Next, let's calculate the magnitudes of u and v:

|u| = √((-7)² + 0²) = √49 = 7

|v| = √((-4)² + 4²) = √32 = 4√2

Substituting these values into the dot product formula:

28 = (7)(4√2) * cos(θ)

Now, solve for cos(θ):

cos(θ) = 28 / (7 * 4√2) = 2 / √2 = √2

To find the angle θ, we can take the inverse cosine (cos^(-1)) of √2:

θ = cos⁻¹(√2)

Using a calculator, the value of cos⁻¹(√2) is approximately 45 degrees.

Therefore, the measure of the angle between the vectors u and v is 45 degrees.

Learn more about Vector here

https://brainly.com/question/30587969

#SPJ4

Complete question is below

Find the measure of the angle between the two vectors. u = -7i and v = -4i + 4j

The expression for the length of the sail is x = 7( tan 50° ).

According to the given question.

The sail of a boat is in the shape of a right triangle.

And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.

Let the length of the sail be x meters.

Now, in the given right angled triangle

We can say that

tan A = Opposite side/Adjacent side

⇒ tan 50° = x/7

⇒ x = 7( tan 50° )

Hence, the expression for the length of the sail is x = 7( tan 50° ).

Find out more information about expression here:

https://brainly.com/question/28172855

#SPJ4

Answer:

x=40

Step-by-step explanation:

Set the equation equal to 142

142= 3x+22

subtract 22

120=3x

divide by 3

x=40

a) The chance of drawing no court cards (J, Q, K, A) in a hand of 13 cards randomly drawn from a pack of 52 is approximately 0.294. b) The chance of drawing at least one ace but no other court cards in a hand of 13 cards is approximately 0.089. c) The chance of drawing at most one kind of court card (J, Q, K, A) in a hand of 13 cards is approximately 0.633.

a) To find the chance of drawing no court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 36 non-court cards (52 cards - 16 court cards), and we want to draw 13 cards without any court cards. The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the number of ways to choose 13 cards from the 36 non-court cards, which can be calculated using combinations. Thus, the probability is:

Probability = C(36, 13) / C(52, 13) ≈ 0.2936

b) To find the chance of drawing at least one ace but no other court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 aces in the deck, and we want to draw at least one of them along with 12 non-court cards (36 non-court cards - 4 aces).

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

For drawing two aces, there are C(4, 2) ways to choose two aces and C(36, 11) ways to choose the remaining non-court cards.

Thus, the probability is:

Probability = [C(4, 1) * C(36, 12) + C(4, 2) * C(36, 11)] / C(52, 13) ≈ 0.0892

c) To find the chance of drawing at most one kind of court card, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 court cards of each kind (J, Q, K, A), and we want to draw at most one kind of court card.

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the sum of three cases: drawing no court cards, drawing only one kind of court card, and drawing one court card of each kind. We have already calculated the probability of drawing no court cards in part (a).

Thus, the probability is:

Probability = [C(36, 13) + 4 * C(36, 13) + 4 * C(36, 12)] / C

Learn more about Probability here:

https://brainly.com/question/31168367

#SPJ11

To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability. The chance of no court cards can be calculated using combinations. The probability of at least one ace but no other court cards can be found by subtracting the probability of no aces from the probability of no court cards. The probability of at most one kind of court card can be calculated by finding the probability of having zero court cards and one court card.

To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability.

There are 12 court cards (J, Q, K, A) in a deck of 52 cards. So, to have no court cards in a hand, we need to select all 13 cards from the remaining 40 non-court cards. The probability can be calculated as 40C13/52C13.

To find this probability, we need to subtract the probability of having no aces from the probability of having no court cards. The probability of having no aces is 48C13/52C13, and the probability of having no court cards is 40C13/52C13. The result is the difference between these two probabilities.

To find the probability of having at most one kind of court card, we can calculate the probability of having zero court cards or one court card. The probability of having zero court cards can be calculated as 40C13/52C13, and the probability of having one court card can be calculated as 12C1 * 40C12/52C13. The sum of these two probabilities gives the probability of having at most one kind of court card.

https://brainly.com/question/32117953

#SPJ12

The provided equation has a straight graph and no typical axis of symmetry because it is a linear function. As a result, the equation y = -8x does not have an axis of symmetry.

The graph of a linear function is a direct line. The form of the a linear function is as follows. a + bx Equals y = f (x). A regression line is composed of one independence variable and one dependent variable. The variables that are dependent and independent are X and Y, respectively.

A perfect line just on coordinate plane is expressed by a linear function. As an illustration, the equation y = 3x – 2 depicts a function f because it refers to a line inside the reference system.

To know more about linear function visit:

https://brainly.com/question/20286983

#SPJ1

Answer:

ok? I'm guessing what equal to it?

Step-by-step explanation:

ex: (8,4) (12,6)

anything they multiply with the same multiplying number.

Such as 4 x 5 you would also need to do the same to 2, 2 x 5 your line would be at (20,10)

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

Using the Combination formula,

Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .

We have given that,

total number of rooms available for paint = 10

number of colour avaliabile for painting = 5

Atmost three rooms can be painted green i.e

the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175

similarly, the number of ways for atmost three rooms are painted red = 175

the number of ways for atmost three rooms are painted blue = 175

Now, one room is remained for painting and two colours are available for it

the number of painting the remained room with aany of two available colours i.e black and white

= 2 ways

thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527

To learn more about Combination formula, refer:

https://brainly.com/question/16837159

#SPJ4

Therefore , the solution to the given problem of probability comes out to be P =0.6.

Probability theory, a subfield of mathematics, calculates the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where 1 denotes certainty and around 0 denotes how probable the event is to occur. A likelihood is a numerical representation of the likelihood that a particular event will occur. Probabilities may alternatively be stated as percentages with a range of 0% to 100% or as a number between 0 and 1. the percentage of events over a wide range of comparably likely outcomes that happen in comparison to all other conceivable outcomes.

Here,

Given :

Twelve 16 GB and 18 32 GB pen drives are packaged together in a box.

To find the probability of 16gb pen drive is defective:

Thus,

Total pendrive = 30

Event = 16gb pen drive or defective:

The probability of it is 16gb pendrive = 12/30 = 0.4

The probability of it is defective pendrive = 6/30 = 0.2

thus,

total probability (16gb pen drive or defective) = 0.4 +0.2 =0.6

Therefore , the solution to the given problem of probability comes out to be P =0.6.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The value of x include the following: b) 5.5

In order to determine the value of x, we would apply the law of tangent (tangent trigonometric function) because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.

Tan(θ) = Opp/Adj

Where:

Therefore, we have the following tangent trigonometric function:

Tan(θ) = Opp/Adj

Tan(20°) = x/15

x = 15tan(20°).

x = 5.4596 ≈ 5.5 units.

Read more on tangent trigonometric function here: https://brainly.com/question/3859375

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

There are 20 cupcakes covered with sprinkles.

Step-by-step explanation:

To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:

Total amount of cupcakes=120

cupcakes covered with peanuts=1/5*120=24

cupcakes covered with chocolate chips=1/3*120=40

cupcakes covered with coconut=36

Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:

cupcakes covered with sprinkles=120-24-40-36

cupcakes covered with sprinkles=20

According to this, the answer is that there are 20 cupcakes covered with sprinkles.

Answer:

Step-by-step explanation:

==========================================================

Explanation:

The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.

We multiply the number of hours by the wage per hour to get the amount earned per job.

Lastly, we add those two subtotals to get the grand total earned

7t + 12(86-t)

Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.

If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032

Answer:

Negative numbers are used in navigation and directions determination

The equation has one solution at (0, -2) for the system of linear equations represented in the graph.

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all possible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

Given the graph,

and the line passes from (0, -2) and (4, 0)

since the line passes from  (0, -2) and (4, 0),

so one of the solutions is at (0, -2),

and another solution is at (4, 0).

according to the options equation has  (0, -2) as one of the solutions.

Hence option B is correct.

Learn more about Solutions to a Linear Equation;

https://brainly.com/question/16515610

#SPJ1

Elements belonging to both set A and B would occupy the area where the two circles intersect. Elements in the universal set but not members of set A or B would be in the rectangle but not within any of the circles.

Venn diagrams use circles to represents the set of two or more elements. Elements in both set A and B would occupy the area where both circles intersect only .

To denote element in the universal set but not in any of set A or B would be in the rectangle encompassing the circles but not within any of the circles.

Learn more on Venn diagram:https://brainly.com/question/24713052

#SPJ1