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WITCHER [35]
1 year ago
13

A circle with a radius of 11 meters is being dilated by a scale factor of

Mathematics
1 answer:
nirvana33 [79]1 year ago
4 0

Answer:7

Step-by-step explanation:

You might be interested in
Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.
vesna_86 [32]

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. \left(-\frac{13}{4}, \frac{5}{2}\right).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. \left(-\frac{13}{4}, \frac{5}{2}\right)

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
Across which axis was point A reflected​
Snezhnost [94]

Answer:

When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

Step-by-step explanation:

When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.

In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).

Thus, the rule is:

P(x, y) → P'(x, -y)

Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

4 0
3 years ago
Answers or correcting please
Mariulka [41]

Answer:

Looks right to me! Great work!

4 0
2 years ago
Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and
torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent  trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

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

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

C(n,x) = \frac{n!}{x!(n-x)!}

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102

b) At least 3 customers make a purchase. x ≥ 3

P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557

c) At most 2 customers make a purchase. x ≤ 2

P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443

d)At least 1 customer makes a purchase. x ≥ 1

P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0
3 years ago
Please help.. 10 points
Leokris [45]

Answer:

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 = \frac{39}{z}

z sin 45 = 39

         z  = \frac{39}{sin45}

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 = \frac{39}{adj}

y tan 60 = 39

           y = \frac{39}{tan60}

           y = 22.5166605

Use Pythagoras's Theorem to find x.

23^{2} + 55^{2} = x^{2}\\\sqrt{23^{2} + 55^{2}}  = x\\59.61543424=x

3 0
3 years ago
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