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Fofino [41]
2 years ago
5

The owner of a new restaurant wants to have seating for more than 75 people. There is currently a

Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Answer:

4m+3>75

Step-by-step explanation:

Given:

Number of people to be seated should be greater than 75.

Let n be the number of people. So,

n > 75

Now, there is a single private chef's table that can seat 3 people.

Tables bought by the owner = m

Number of people seated in 1 table = 4

So, number of persons that can be seated in m tables = 4\times m=4m

Now, total number of persons that can be seated in these two types of tables is the sum of 3 and 4m

Therefore, n = 4m+3

But, n>75

Hence, the inequality to show the situation is:

4m+3>75

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The measure of an angle is 133°. What is the measure of its supplementary angle?
Pachacha [2.7K]

Answer:

47

Step-by-step explanation:

180 - 133 = 47

7 0
2 years ago
Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show
Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is P(x \ge 60)=0.0901

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

        in every 1000 children a particular genetic defect occurs to 1

        The number of sample selected is n= 50,000

The probability of observing the defect is mathematically evaluated as

              p = \frac{1}{1000}

                 = 0.001

The probability of not observing the defect is mathematically evaluated as

            q = 1-p

               = 1-0.001

               = 0.999

The mean of this probability is mathematically represented as

                 \mu = np

Substituting values

                \mu = 50000*0.001

                    = 50

The standard deviation of this probability is mathematically represented as

   \sigma = \sqrt{npq}

Substituting values

      = \sqrt{50000 * 0.001 * 0.999}

     = \sqrt{49.95}

     = 7.07

 the probability of detecting  x  \ge60 defects can be represented in as  normal distribution like

       P(x \ge 60)

in standardizing the normal distribution the normal area used to approximate P(x \ge 60) is the right of 59.5 instead of 60 because  x= 60 is part of the observation

The z -score is obtained mathematically as

                z = \frac{x-\mu }{\sigma }

                   = \frac{59.5 - 50 }{7.07}

                  =1.34

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

  The total area under the curve is 1

So

    P(x \ge 60) \approx P(z > 1.34)

                     = 1-P(z \le 1.34)

                    =1-0.9099

                  =0.0901

             

   

3 0
2 years ago
The diagram shows a logo​
Charra [1.4K]

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

5 0
3 years ago
Can some one help me with this math question?
vova2212 [387]

Answer:

I'm pretty sure it would be base x height divided by 2 so 20×6÷2

8 0
2 years ago
Which one !<br><br> 1: $9<br> 2: $15<br> 3: $21 <br> 4: $18<br> 5: $12<br> 6: $24
Rudiy27

Answer:

$9 and $15

Step-by-step explanation:

Multiply the number of weeks (w) by $3 (m=$3w) to find the totals for each week:

3      $9   [Blank A]

5      $15  [Blank B]

7       $21

6 0
2 years ago
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