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SashulF [63]
3 years ago
11

Please help me solve this problem

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer:A

Step-by-step explanation:

The dot means less than or equal to 2

Open dot means greater than 2

You might be interested in
In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ
MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger  positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

x+y=60

y=60-x -----> equation A

P=xy ----> equation B

substitute equation A in equation B

P=x(60-x)

P=60x-x^{2}

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For x=30 The largest possible product is 900

and

y=60-x ------> y=60-30=30

therefore

The two positive integers are 30 and 30

5 0
3 years ago
Home Videos Inc. surveys 450 households and finds that the mean amount spent for renting or buying videos is P135 a month and th
adell [148]

SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

6 0
1 year ago
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=10?
Sonja [21]

Since this equation is already in standard form, there is no need to convert it. Standard form is Ax + By = C. In this equation, 7 = A, 3 = B, and 10 = C. From standard form, Ax + By = C equals negative A over B.

7x + 3y = 10

↓

\displaystyle\ m= \frac{-7}{-3}

Then you'd simplify.

\displaystyle\ m=\frac{7}{3}

The slope cannot be simplified any more, so this would be the final answer.

|

|

<em>- Marlon Nunez</em>

7 0
3 years ago
In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which eq
MAXImum [283]
<h3>Answer: Choice C</h3>

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

  • P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
  • P(B) = 20/80 = 1/4 = probability of picking someone taking French
  • P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

----------------

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.

6 0
3 years ago
Tickets to a play cost $5 at the door and $4 in advance. The theater club wants to raise at least $400 from the play. Write and
cestrela7 [59]
Your equation should be
$4(40 tickets) + $5(X) = $400
160 +5x = 400
-160            -160
   0     5x =  340
  divide both sides by 5
5x/5 = 340/5
x = 68

so they need to sell 68 tickets at the door.

4(40) + 5(68) = 400
160 + 340  + 400
400 + 400


7 0
3 years ago
Read 2 more answers
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