Ask question

Ask question

All categories

3 years ago

7

The cost of 6 pounds of almonds is $23.28. What is the constant of proportionality that relates y, the cost in dollars, to x, th

e number of pounds?
GIVING BRAINLIEST

1 answer:

solniwko [45]3 years ago

5 0

Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

You might be interested in

What quadratic function does the graph represent?

nekit [7.7K]

Answer:

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

$f(x)=a(x-h)^2+k$ , where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

$f(x)=a(x-2)^2+4$ ,

The point (5,1) lies on the graph so we use it to determine the value of a.

$1=a(5-2)^2+4$ ,

$1-4=a(3)^2$ ,

$-3=9a$ ,

$a=-\frac{1}{3}$

The required equation is

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

5 0

3 years ago

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

2 years ago

Need help with work g

Nonamiya [84]

Answer:

21 meters

Step-by-step explanation:

First find the circumference of the tire:

c = πd

c = 3.14(670)

c = 2103.8

Multiply by 10 to find the distance the bike has travelled:

2103.8*10 = 21,038

Convert millimeters to meters:

21,038 millimeters ≈ 21 meters

8 0

3 years ago

Read 2 more answers

The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio i

hram777 [196]

In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.

The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to

S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:

S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78

6 0

3 years ago

-8.3 divided by 0.25

gladu [14]

Answer:

-33.2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers