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2 years ago

Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.

Mathematics

2 answers:

saw5 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

anyanavicka [17]2 years ago

3 0

Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

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Let B ∼ Bin(20,0.2). Compute the following probabilities. I would suggest computing these with a hand calculator using the formu

Makovka662 [10]

Answer:

a) 0.2182

b) 0.0691

c) 0.9309

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly b successes on n repeated trials, and B can only have two outcomes.

$P(B = b) = C_{n,b}.p^{b}.(1-p)^{n-b}$

In which $C_{n,b}$ is the number of different combinations of b objects from a set of n elements, given by the following formula.

$C_{n,b} = \frac{n!}{x!(n-b)!}$

And p is the probability of B happening.

In this problem we have that:

Bin(20,0.2).

This means that $n = 20, p = 0.2$

(a) P(B=4).

$P(B = b) = C_{n,b}.p^{b}.(1-p)^{n-b}$

$P(B = 4) = C_{20,4}.(0.2)^{4}.(0.8)^{16} = 0.2182$

(b) P(B≤1).

$P(B \leq 1) = P(B = 0) + P(B = 1)$

$P(B = b) = C_{n,b}.p^{b}.(1-p)^{n-b}$

$P(B = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115$

$P(B = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576$

$P(B \leq 1) = P(B = 0) + P(B = 1) = 0.0115 + 0.0576 = 0.0691$

(c) P(B>1).

Either B is less than or equal to 1, or B is larger than 1. The sum of the probabilities of these events is decimal 1. So

$P(B \leq 1) + P(B > 1) = 1$

We have that, from b), $P(B \leq 1) = 0.0691$

$0.0691 + P(B > 1) = 1$

$P(B > 1) = 0.9309$

8 0

2 years ago

Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students

UNO [17]

Answer:

1. Group C; 2. Group B; 3. Group D; 4. Group A

Step-by-step explanation:

These equations are in the form

$y=-4.9t^2+v_0t+h_0\\\text{or}\\y=-16t^2+v_0t+h_0$ , where v₀ is the initial velocity and h₀ is the initial height.

The first equation has no value for v₀ and a value of 19 for h₀. This means there is no velocity, so the ball is dropped, and since the initial height is 19, it is dropped from 19 meters. This makes it group C.

The second equation has a value of 50 for v₀ and no value for h₀. This means the initial velocity is 50 and there is no initial height. This makes it group B.

The third equation has no value for v₀ and a value of 50 for h₀. This means there is no initial velocity, so the ball is being dropped, and the initial height is 50. This makes it group D.

The fourth equation has a value of 19 for v₀ and no value for h₀. This means the initial velocity is 19 and there is no initial height. This makes it group A.

7 0

2 years ago

Read 2 more answers

30 yards of fabric is needed to make 10 dresses.The fabric roll is stamped 1200 inches .How many yards do you have

wel

There are 36 inches to a yard so 1200 divided by 36 equals to 33 1/3 yards of fabric. you have 33 1/3 yards of fabric

3 0

2 years ago

Alyssa wants to know the gas mileage of her new car. She kept track of the number of miles she traveled and the number of gallon

Anna [14]

Answer:

Step-by-step explanation:

Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.

"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".

So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.

Answer choice D is right.

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2 years ago

A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

lyudmila [28]

Answer:

$f(x)=120000 \times (1.055)^{x}$