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Nutka1998 [239]
2 years ago
14

Saby used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables b

elow: Number on the Cube Number of Times Rolled 1 18 2 25 3 12 4 32 5 3 6 10 Heads Tails 56 44 Using Saby's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up?
Mathematics
1 answer:
Degger [83]2 years ago
8 0
Short Answers
P(Both) = 0.1792
Givens
The total number of roles = 100
Total number of heads = 56
Number of times rolled a four =  32 [check this for me].

Set up the probabilities.
P(H) = 56/100
P(4) = 32/100
P(H)*P(4) = P(Both)

Substitute and solve
P(Both) = 56/100 * 32/100 = 1792/10000
P(Both) = 112/625 because there are many cancellations. Or you could just express it as 0.1972

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Given that tan? Tan^2 0=3/8 what is the value of sec 0?
Ronch [10]

Answer:

1.068.

Step-by-step explanation:

Use the identity

sec^2 O = 1 + tan^2 O

=  1 + (3/8)^2

= 1  9/64

= 73/64

so sec O =  √73/8

= 1 .068.

7 0
3 years ago
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 a
Nata [24]

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

6 0
3 years ago
What is the value of x to the nearest tenth?
Stolb23 [73]
X = 6 / tan(67)

x = 2.546

rounded to nearest tenth x = 2.5
7 0
3 years ago
PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?
Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

<u><em>Explanation</em></u>

PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.

According to the graph, the coordinates of P is (-7, -2) and  Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: (\frac{x+2}{2},\frac{y+4}{2}) , which is actually at (-7, -2)

Thus.....

\frac{x+2}{2}=-7\\ \\ x+2=-14\\ \\ x= -16\\ \\ and\\ \\ \frac{y+4}{2}= -2\\ \\ y+4= -4\\ \\ y= -8

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)

6 0
2 years ago
1.) Explain how u can use absolute value to tell whether the sum of two integers is positive or negative?
stealth61 [152]

Answer:

To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.

6 0
3 years ago
Read 2 more answers
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