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3 years ago

Graph the system of equations on your graph paper to answer the question.

Mathematics

1 answer:

ddd [48]3 years ago

8 0

Answer:

The solution of the two give equations is (-1,4)

Step-by-step explanation:

i) First equation is y = -x + 3

ii) Second equation is y = x + 5

iii) If we add the two equations we get 2y = 8 ∴ y = 4

iv) Substituting the value of y obtained in iii) in equation i) we get

4 = -x + 3 ∴ -x = 4 - 3 ∴ -x = 1 ∴ x = -1

v) substituting x = -1 and y = 4 in the second equation we see that the equation is satisfied.

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are 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 = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0

3 years ago

Esessment

Klio2033 [76]

The area of the given composite figure is 34 square feet

<h3>Area of rectangle</h3>

Area of the rectangle = length * width

<h3>Get the area of the given composite figure</h3>

For the composite figure shown:

Area = (8*3) + (2 * 5)

Area = 24 + 10

Area = 34 square feet

Hence the area of the given composite figure is 34 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

3 0

2 years ago

A couple of college students frustrated with the current class registration process decide to survey 500 random students on camp

aleksklad [387]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Standard deviation = $\sqrt{(n*p)(1 - p)}$

Substitute the values in:

$\sqrt{(500 *0.84)(1-0.84)}$ = 8.1975...

This can be rounded to give an approximate answer of 8.2

The answer is option A.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

4 years ago

1.3 Dominic buys a calculator costing £7.50, 3 packets of pens costing £1.80 for each packet and

Naddika [18.5K]

I believe the answer is .60

4 0

3 years ago

Read 2 more answers

A company makes wax candles shaped like rectangular prisms. Each candle is 4 cm long, 3 cm wide, and 10 cm tall. If the company

MatroZZZ [7]

Answer:

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

6 0

3 years ago