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rewona [7]
2 years ago
3

A stack of four cards contains two red cards and two black cards. I select two cards, one at a time, and do not replace the firs

t card selected before selecting the second card. Consider the events:A = the first card selected is red.B = the second card selected is red.The events A and B are:conditionals.independent.disjoint.None of the answer options are correct.
Mathematics
1 answer:
Leto [7]2 years ago
5 0

Answer:

(A)Conditionals

Step-by-step explanation:

The stack of four cards contains two red cards and two black cards.

Given the events

A = the first card selected is red.

B = the second card selected is red.

The two events A and B are conditionals because the probability of event B occurs given that event A has already occurred.

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In circle S,diameter PN is drawn .If measurement arc MN=110 degrees and PS=10 then find the length of MN to the nearest tenth.Sh
Goryan [66]

Answer:

MN=16.4\ units

Step-by-step explanation:

step 1

Find PN

we know that

PN is a diameter

PS is a radius

PS=10\ units

so

PN=2*PS=2*10=20\ units

step 2

Find the measure of arc MP

arc\ MN+arc\ MP=180\°

arc\ MN=110\°

arc\ MP=180\°-110\°=70\°

step 3

Find the measure of angle MNP

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 4

Find the measure of angle MPN

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 5

Find the measure of angle NMP

The sum of the internal angles of a triangle must be equal to 180 degrees

therefore

The triangle MNP is a right triangle

step 6

Find the length MN

In the right triangle MNP

sin(

substitute the values

sin(55\°)=\frac{MN}{20}

MN=(20)sin(55\°)=16.4\ units

7 0
2 years ago
Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 boys and girls in seventh grade. I
Dafna1 [17]
There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
8 0
2 years ago
Read 2 more answers
Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an
levacccp [35]

Answer:

m(n) = 24 (0.75)^n

Step-by-step explanation:

1) <u>The two points are</u>:

a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>

b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>

2) <u>The general equation using the form given is</u>:

m(n)=A(B)^n

3) <u>Substitute the two points</u>:

18=A(B)\\ \\ 13.5=A(B)^2

4) <u>Divide the second equation by the first one</u>:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) <u>Substitue B = 0.75 into the first equation</u>:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

m(n) = 24 (0.75)^n

5 0
2 years ago
The probability that a random smoker will develop a sever lung condition during his or her lifetime is 0.3. we will choose a ran
postnew [5]
The mean is 36 and the standard deviation is 5.02.

The mean is given by
μ = np = 120*0.3 = 36.

The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
8 0
2 years ago
Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.
dem82 [27]

Answer:

2 (option B)

Question:

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

a) 9 b) 2 c)18 d) 20

Step-by-step explanation:

We would find the perfect squares that are two digit numbers

For two digit perfect squares:

Largest two digit number= 81 = 9²

Smallest two digit number= 16 = 4²

Total Two digit number perfect squares = Highest number - lowest number + 1

= 9-4+1 = 6

There are 6 two digit perfect squares

Next, we have to find how many of them have 6 in their units place.

The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

Following this, the possibilities are 4², 6².

We have two of such numbers.

Therefore, he would have listed 2 numbers.

6 0
2 years ago
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