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In-s [12.5K]
3 years ago
14

Relationship B has a greater rate than Relationship A This Graph Represents Relationship A Which equations could represent relat

ionship b

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

Step-by-step explanation:

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If a variable has a distribution that is​ bell-shaped with mean 19 and standard deviation 7​, then according to the Empirical​ R
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The empirical rule says that approximately 68% of a normal distribution falls within one standard deviation of the mean. In this case, this would include all values of the variable in the interval (19-7,19+7)=(12,26).
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3 years ago
Find the circumference and the area of a circle with radius 3 m.
Effectus [21]

Answer:

\boxed {c= 18.84 \ m}

\boxed {a=28.26 \ m^2}

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

<h3>1. Circumference </h3>

The circumference is the perimeter of a circle. It is calculated using the following formula:

c= \pi d

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

  • d= 2 r
  • d= 2 * 3 m
  • d= 6 m

The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

c= (3.14)(6 \ m )

Multiply.

\bold {c= 18.84 \ m}

<h3>2. Area </h3>

The area is the size of the circle's surface. It is calculated using the following formula.

a= \pi r^2

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

a= (3.14)(3 \ m)^2

Solve the exponent.

  • (3 m)² = (3 m)(3 m)= 9 m²

a= (3.14)(9 \ m)^2

\bold {a=28.26 \ m^2}

The circumference is 18.84 meters and the area is 28.26 square meters.

6 0
3 years ago
If 6 boys each contribute R155,50 towards the purchase of a tent. Calculate the amount which each would have to contribute if th
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Answer:

9330

Step-by-step explanation:

6 boys

= 15550 \times 6 = 93300

10 boys=93300

1 boy=93300/10=9330

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A single-engine plane is flying at 30 mph in the direction N 60° E. A wind is blowing from west to east at 15 mph
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C on Edge 2020

Step-by-step explanation:

The graph where the 60 degree angle is touching the y axis and air is above ground

7 0
3 years ago
Read 2 more answers
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
3 years ago
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