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Viefleur [7K]
3 years ago
11

Which equation has roots whose sum is 3 and whose product is -4?

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Equation: x² - (sum of roots)x + product of roots = 0

x² - 3x + (-4) = 0

x² - 3x - 4 = 0

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The simplest multicecullar organism is alga
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Sum divided by count. Add up all the numbers and divide it by how many numbers it is.
5 0
3 years ago
In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi
tiny-mole [99]

Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187

7 0
2 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
How can i show 5/8 is greater than 3/8
Serjik [45]
The first answer, using a number line, is a good answer.

I have two other ways:

Way #1:

5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.

We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.

There's no reason that should change if the 'things' are eighths.


Way #2:

-- Get 2 friends to help you.

-- Take one good-size veggie pizza or coconut cream pie.

-- Carefully cut it up in eight (8) equal pieces.
   Now each piece is 1/8 of the pie or the pizza.

-- Give 5 pieces (5/8) to the first friend.
   Give 3 pieces (3/8) to the other friend.

-- Ask them to get together and agree on who has more.

3 0
2 years ago
Read 2 more answers
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