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jok3333 [9.3K]
4 years ago
12

Please help asap 30 pts

Mathematics
1 answer:
Flura [38]4 years ago
3 0
D. Using a graphing calculator, compare the two graphs. The function y= square root x+3 is shifted 3 units to the left of the function y=square root x.
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells a average of 30 bouquets every week
Evgesh-ka [11]

Answer:

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.

CHECK THE ATTACHMENT FOR THE GRAPH

EXPLANATION;

FIRST QUESTION:

From the graph maximum profit is the value gotten where p(X) has maximum value, and the maximum value is observed at y- axis at P(X)to be 675.

Thefore, maximum profit the florist will earn from celebration bouquet is $675.

SECOND QUESTION:

Break even is the exact point that profit p(x) is observed as zero.

Checking the given g graph the point where there is zero value of p(X) is observed at x=20 and x= -10 but we can only pick the positive value which is x=20

Therefore, the florist will break even after 20 one- dollar decreases

THIRD QUESTION;

The interval of number of one dollar decreases can be observed at the point where we have the value of P(x) been more than zero, looking at the given graph, the P(x) has its value greater than zero at the interval 0 to 20.Therefore, it can be concluded that the interval of number of one dollar decreases for which the florist makes a profit from celebration bouquet is (0, 20)

5 0
3 years ago
Read 2 more answers
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t
olchik [2.2K]

Answer:

a) 0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire

b) 0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The sprinklers activate correctly or not independently, 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.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that p = 0.7

10 sprinklers.

This means that n = 10

a. What is the probability that all of the sprinklers will operate correctly in a fire?

This is P(X = 10). So

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

P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282

0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire.

b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?

This is:

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

So

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

P(X = 7) = C_{10,7}.(0.7)^{7}.(0.3)^{3} = 0.2668

P(X = 8) = C_{10,8}.(0.7)^{8}.(0.3)^{2} = 0.2335

P(X = 9) = C_{10,9}.(0.7)^{9}.(0.3)^{1}= 0.1211

P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282

Then

P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2668 + 0.2335 + 0.1211 + 0.0282 = 0.6496

0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

7 0
3 years ago
Factorise completely 9a^2-1
aleksandr82 [10.1K]

Answer:

(3a-1)(3a+1)

Step-by-step explanation:

We can quickly see with this problem that it is the difference of two squares as 9a^2 is (3a)^2 and 1 is 1^2 and therefore can factorise quickly using this rule.

x^2-y^2 = (x-y)(x+y) where x = 3a and y = 1

8 0
4 years ago
Read 2 more answers
Ok this one has way to many numbers for me. I have no clue at all on this one please help Thank you so much
victus00 [196]
The area of the lawn is 6144 square ft.
4 0
4 years ago
Negative 1 times 4 over 5
UNO [17]
Hey there!
<span><span>
-1/1 x 4/5

= -1 x 4
     1 x 5
Answer: -4/5

Hope this helps
Have a great day (:
</span></span>
4 0
3 years ago
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