All categories

3 years ago

1. Are the ratios, 8/12 and 10/25 proportional? Please explain. I will give brainliest for the best explanation.

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

Answer:

1. No

2. 1,050 bushels of corn

Step-by-step explanation:

1. A number is proportional if it has a constant ratio to another quantity.

8/12 and 10/25 do not.

2. An acre will produce $\frac{750}{10}$ bushels of corn.

750 divided by 10 is 75. <u>This is 75 bushels per acre.</u>

Then you would multiply 75 and 14.

This equals 1,050 bushels of corn.

You might be interested in

A long-distance telephone company charges $4.95 per month and $0.07 per minute for phone calls.

Leokris [45]

Y = $0.07x+$4.95

Also, is that an umbrella academy pfp?

4 0

3 years ago

a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student gu

Delicious77 [7]

Answer:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

8 0

3 years ago

Isolate x in the first equation:

denis-greek [22]

If y is substitute into either of the original equation. The solution as an ordered pair are: x=-2; y=3.

<h3>The solution as an ordered pair</h3>

x + 3y= 7 equation 1

x+2y=4 equation 2

Solving for y

x+3y-(x+2y)=7-4

x+3y-z-2y=7-4

3y-2y=7-4

y=7-4

y=3

Substitute y=3 into equation 2

x+2y=4

x+2×3=4

x+6=4

Collect like terms

x=4-6

x=-2

Therefore the solution as an ordered pair are: x=-2; y=3.

Learn more about solution as an ordered pair here:brainly.com/question/1515438

#SPJ1

4 0

2 years ago

Write the equation of a line with a point at `(-3,2)` and has a slope of `\frac{1}{2}`.

Vera_Pavlovna [14]

Answer:

y = (1/2)x + 7/2

Step-by-step explanation:

y = ax + b (general form of a linear function)

a = 1/2 (slope)

y = (1/2)x + b

(-3, 2) is on the line, 2 = (1/2)*(-3) + b

2 = -3/2 + b

b = 2 + 3/2

b = 7/2

equation: y = (1/2)x + 7/2

3 0

2 years ago

URGENT!!!!

Arada [10]

Answer: y = 1/2x + 8

Step-by-step explanation:

6 0

3 years ago