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3 years ago

ABCD shows the original location of a shape. FGHI shows the shape reflected across a

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer:

A. 5.8

Step-by-step explanation:

if ABCD was reflected to FGHI means that A became F and B became G so AB became (was mapped to ) FG after reflection.

the length ( or distance) after reflection is is preserved ( does not change) so

if AB = 5.8 units then FG =5.8 units.

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The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacemen

mamaluj [8]

<h2>Answer:</h2>

(a)

The probability is : 1/2

(b)

The probability is : 1/2

<h2>Step-by-step explanation:</h2>

The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2) (1,3) (1,4) (1,5)

(2,1) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,4) (3,5)

(4,1) (4,2) (4,3) (4,5)

(5,1) (5,2) (5,3) (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

We know that it could be calculated by using the formula:

$P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is: (4,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( since, the only outcome out of 20 outcomes is: (3,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

7 0

3 years ago

출<br> Enter the difference as a mixed number,<br> 10<br> Pls help me

krok68 [10]

Answer: 48/10

Step-by-step explanation: 65/10 - 17/10 = 48/10 also known as 4 8/10

8 0

3 years ago

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One number is 9 more than another. if the sum of the two numbers is 163, find the two numbers.

tiny-mole [99]

I think that one number is 77 and the other is 86. 77 + 9 is 86. 86 +77 is 163.

5 0

3 years ago

Which division sentence is related to the product of a/3 (a/3) when A is not equal to 0?

Anon25 [30]

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

$a/3(a/3)$

$a/3 \div 3/a=1$

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

3 0

3 years ago

Which table represents points on the graph of h(x) = RootIndex 3 StartRoot negative x + 2 EndRoot?

Alex_Xolod [135]

Answer:

Table 3

Step-by-step explanation:

The third one.

We have the function

$h(x) = \sqrt[3]{-x+2}$

Now we will insert values of x in that definition o h(x) and see if the values we obtain match the corresponding y values in the table:

$h(-6) = \sqrt[3]{-(-6)+2}= \sqrt[3]{6+2}= \sqrt[3]{8} = 2\\h(1) = \sqrt[3]{-1+2}= \sqrt[3]{1}= 1\\h(2) = \sqrt[3]{-2+2}= \sqrt[3]{0}= 0\\h(3) = \sqrt[3]{-3+2}= \sqrt[3]{1}= 1\\h(10) = \sqrt[3]{-10+2}= \sqrt[3]{-8}= -2$

We can see that the values match the table 3, so the table 3 represents points on the graph of h(x)

3 0

2 years ago

Read 2 more answers