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1 year ago

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A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots

show the same three items. a. How many simple events are in the sample space

1 answer:

Verdich [7]1 year ago

7 0

Which subject is it?

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Two quadrilaterals are congruent. One has vertices P, N, O, and M, and the other has vertices S, T, V, and U. These correspondin

Bogdan [553]

Answer: $NPOM \cong VUTS$ and $OPNM \cong TVUS$ will be correct.

Explanation:

Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent, where, OM is congruent or equal to TS and $\angle P\cong \angle U$ .

in quadrilaterals NPOM and VUTS-

since, the condition $\angle P = \angle U$

and, side UV=side OM follow for the above quadrilateral. (According to the figure)

then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.

similarly, these two conditions also follow in the case of $OPNM \cong TVUS$

we can understand it by making the figures.

6 0

1 year ago

Read 2 more answers

Examine the steps used to solve the equation.

Elina [12.6K]

Answer:

see below

Step-by-step explanation:

12.5x − 10.2 = 3(2.5x + 4.2) - 6

Use the distributive property to distribute the 3

12.5x − 10.2 = 7.5x + 12.6 − 6

Combine like terms

12.5x − 10.2 = 7.5x + 6.6

Add 10.2 to each side of the equation by using the addition property of equality

12.5x = 7.5x + 16.8

Subtraction 7.5x from each side of the equation by using the subtraction property of equality

5x = 16.8

Divide by 5 on each side by using the division property of equality

x = 3.36

6 0

2 years ago

Read 2 more answers

which point on the graph shows the price of 3 pounds of meat ? use the formula y =3x to find y when x equals 3

Anon25 [30]

Answer: y=9 (point B on the graph)

Step-by-step explanation:

y=3x

x=3

y=3(3) (3×3)

3x3=9

So 9(y)=3(3x)

Point B which is located at the 9 mark

5 0

1 year ago

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Emily an her dad share the cost of the meal in the ratio 2:3 emily’s Dad pays £52.20 what is the total cost of the meal

rodikova [14]

£87.00

Emily's dad pays 3 parts of the meal

Divide £52.20 by 3 to find one part of the ratio

$\frac{52.20}{3}$ = £17.40 ← 1 part of the ratio

2 parts = 2 × £17.40 = £34.80 ← Emily's share

total cost = £52.20 + £34.80 = £87.00

6 0

2 years ago

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A survey found that 73% of adults have a landline at their residence (event A); 83% have a cell phone (event B). It is known tha

4vir4ik [10]

Answer:

3. What is the probability that an adult selected at random has both a landline and a cell phone?

A. 0.58

4. Given an adult has a cell phone, what is the probability he does not have a landline?

C. 0.3012

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an adult has a landline at his residence.

B is the probability that an adult has a cell phone.

C is the probability that a mean is neither of those.

We have that:

$A = a + (A \cap B)$

In which a is the probability that an adult has a landline but not a cell phone and $A \cap B$ is the probability that an adult has both of these things.

By the same logic, we have that:

$B = b + (A \cap B)$

The sum of all the subsets is 1:

$a + b + (A \cap B) + C = 1$

2% of adults have neither a cell phone nor a landline.

This means that $C = 0.02$ .

73% of adults have a landline at their residence (event A); 83% have a cell phone (event B)

So $A = 0.73, B = 0.83$ .

What is the probability that an adult selected at random has both a landline and a cell phone?

This is $A \cap B$ .

We have that $A = 0.73$ . So

$A = a + (A \cap B)$

$a = 0.73 - (A \cap B)$

By the same logic, we have that:

$b = 0.83 - (A \cap B)$ .

So

$a + b + (A \cap B) + C = 1$

$0.73 - (A \cap B) + 0.83 - (A \cap B) + (A \cap B) + 0.02 = 1$

$(A \cap B) = 0.75 + 0.83 - 1 = 0.58$

So the answer for question 3 is A.

4. Given an adult has a cell phone, what is the probability he does not have a landline?

83% of the adults have a cellphone.

We have that

$b = B - (A \cap B) = 0.83 - 0.58 = 0.25$

25% of those do not have a landline.

So $P = \frac{0.25}{0.83} = 0.3012$

The answer for question 4 is C.

4 0

1 year ago