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3 years ago

Which situation represents a proportional relationship?

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

Answer:

The first one

Step-by-step explanation:

You are taking one object times per pound, x, and than adding the cost for a basket.

seraphim [82]3 years ago

3 0

Answer:

A situation represents a proportional relationship if you can write equivalent ratios of related quantities in that situation.

You might be interested in

Determine the slope of the line represented by y=5x-7 ?

Reptile [31]

Step-by-step explanation:

that is totally easy.

in the slope intercept form of a line equation the factor of x is always the slope.

in general

y = ax + b

a = the slope.

so, in our case here

y = 5x - 7

5 is the slope.

and -7 is the y intercept (at what point does the line intercept the y-axis; that is the y value when x = 0).

7 0

3 years ago

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa

11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 7 parts

r = number of success = fewer than 2

p = probability of success which in our question is % of defective

parts produced by one of the machine, i.e; 19%

LET X = Number of parts that are defective

So, it means X ~ Binom(n = 7, p = 0.19)

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

= $\binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}$

= $1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}$

= 0.604

Therefore, the probability that fewer than 2 of these parts are defective is 0.604.

8 0

3 years ago

This last one I need help on too

ExtremeBDS [4]

Answer:

$x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}$

Step-by-step explanation:

simplify $\frac{-3}{x-2}$ by putting the negative sign on the outside. $\frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}$

find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

$\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)$

Simplify:

$2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)$

solve: $x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}$

3 0

3 years ago

A company requires a password to access a data storage vault. The password must be 4 characters long and may

lisov135 [29]

Answer:

There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616

Step-by-step explanation:

5 0

3 years ago

Can someone please check my answer

lyudmila [28]

Answer:

less

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers