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Finger [1]
2 years ago
10

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

Mathematics
2 answers:
natima [27]2 years ago
8 0

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

il63 [147K]2 years ago
6 0

Answer:

-8,-2

Step-by-step explanation:

When reflecting over the x-axis the symbol of the y-value changes

You might be interested in
Henry works at a warehouse where he earns $23.56 per hour. How much money will Henry earn after working for 37 hours and 42 minu
Burka [1]

Answer:

$888.21

Step-by-step explanation:

We'll break this problem into two chunks.

First, find the number of dollars Henry gets after working for 37 hours. Since he gets paid $23.56 per hour, all you do is multiply how many hours he's worked (37) by the rate he gets paid (23.56) which gets you $871.72.

Second, adding 42 minutes onto the 37 hours. Since there are 60 minutes in one hour, all you have to do is divide 42 minutes by 60 minutes to get how much of 42 minutes is 1 hour, which is 0.7. Multiply 0.7 by 23.56 (the rate he gets paid per hour) and you have $16.49.

Adding the two sums gets you 888.21 dollars in total.

8 0
2 years ago
A supermarket has two customers waiting to pay for their purchases at counter I and one customer waiting to pay at counter II. L
Pachacha [2.7K]

Answer:

b. 0.864

Step-by-step explanation:

Let's start defining the random variables.

Y1 : ''Number of customers who spend more than $50 on groceries at counter 1''

Y2 : ''Number of customers who spend more than $50 on groceries at counter 2''

If X is a binomial random variable, the probability function for X is :

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

Where P(X=x) is the probability of the random variable X to assume the value x

nCx is the combinatorial number define as :

nCx=\frac{n!}{x!(n-x)!}

n is the number of independent Bernoulli experiments taking place

And p is the success probability.

In counter I :

Y1 ~ Bi (n,p)

Y1 ~ Bi(2,0.2)

P(Y1=y1)=(2Cy1)(0.2)^{y1}(0.8)^{2-y1}

With y1 ∈ {0,1,2}

And P( Y1 = y1 ) = 0 with y1 ∉ {0,1,2}

In counter II :

Y2 ~ Bi (n,p)

Y2 ~ Bi (1,0.3)

P(Y2=y2)=(1Cy2)(0.3)^{y2}(0.7)^{1-y2}

With y2 ∈ {0,1}

And P( Y2 = y2 ) = 0 with y2 ∉ {0,1}

(1Cy2) with y2 = 0 and y2 = 1 is equal to 1 so the probability function for Y2 is :

P(Y2=y2)=(0.3)^{y2}(0.7)^{1-y2}

Y1 and Y2 are independent so the joint probability distribution is the product of the Y1 probability function and the Y2 probability function.

P(Y1=y1,Y2=y2)=P(Y1=y1).P(Y2=y2)

P(Y1=y1,Y2=y2)=(2Cy1)(0.2)^{y1}(0.8)^{2-y1}(0.3)^{y2}(0.7)^{1-y2}

With y1 ∈ {0,1,2} and y2 ∈ {0,1}

P( Y1 = y1 , Y2 = y2) = 0 when y1 ∉ {0,1,2} or y2 ∉ {0,1}

b. Not more than one of three customers will spend more than $50 can mathematically be expressed as :

Y1 + Y2 \leq 1

Y1 + Y2\leq 1 when Y1 = 0 and Y2 = 0 , when Y1 = 1 and Y2 = 0 and finally when Y1 = 0 and Y2 = 1

To calculate P(Y1+Y2\leq 1) we must sume all the probabilities that satisfy the equation :

P(Y1+Y2\leq 1)=P(Y1=0,Y2=0)+P(Y1=1,Y2=0)+P(Y1=0,Y2=1)

P(Y1=0,Y2=0)=(2C0)(0.2)^{0}(0.8)^{2-0}(0.3)^{0}(0.7)^{1-0}=(0.8)^{2}(0.7)=0.448

P(Y1=1,Y2=0)=(2C1)(0.2)^{1}(0.8)^{2-1}(0.3)^{0}(0.7)^{1-0}=2(0.2)(0.8)(0.7)=0.224

P(Y1=0,Y2=1)=(2C0)(0.2)^{0}(0.8)^{2-0}(0.3)^{1}(0.7)^{1-1}=(0.8)^{2}(0.3)=0.192

P(Y1+Y2\leq 1)=0.448+0.224+0.192=0.864\\P(Y1+Y2\leq 1)=0.864

7 0
2 years ago
a triangle has sides of 4 and 6 units. The measurement of the longest side is missing.Ted says that one possibility for the unkn
tester [92]
This is called the pythagorean theorem: a^2 + b^2 = c^2.
Basically, the sum of one side squared + the side of another side squared = the length of the longest side (or hypotenuse).

We have to do the following math:
4 * 4 = 16
6 * 6 = 36
16 + 36 = 52.

We know that 52 = c^2
So we have to \sqrt{c} to get 7.21

You do not agree with Ted. 

7 0
2 years ago
Quadrilateral ABCD is located at A(-2,2), B(-2,4), C(2,4), and D(2,2). The Quadrilateral is then transformed using the rule (x +
Mice21 [21]

These should help!! The corresponding vertices make a rectangular prism:)

8 0
2 years ago
a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next f
Strike441 [17]
Hey mark me brainlest but ur answer is 27/45


Bess ur day.
8 0
2 years ago
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