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LenKa [72]
3 years ago
13

T/2 + 3 = 5 (solve for t)

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

t = 4

Step-by-step explanation:

Given

\frac{t}{2} + 3 = 5 ( subtract 3 from both sides )

\frac{t}{2} = 2

Multiply both sides by 2 to clear the fraction

t = 2 × 2 = 4

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Suppose the names of the months of the year are placed in a hat and a name is drawn at random. (a) list the sample space for thi
ollegr [7]

(a)

The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:

\Omega = \{ \text{January},\ \text{February},\ldots,\text{December}\}

(b)

An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as

E = \{ x \in \Omega: x \text{ starts with the letter J}\}

So, we have

E = \{\text{January},\ \text{June},\ \text{July}\}

(c)

If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:

P(E) = \dfrac{n(E)}{n(\Omega)} = \dfrac{3}{12} = \dfrac{1}{4}

In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.

3 0
3 years ago
11. You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves four
Ludmilka [50]

Answer:

2.5 teaspoon.

Step-by-step explanation:

4 serve recipe need cinnamon = 1 tsp

1 serve recipe need cinnamon = 1/4 tsp

10 serve recipe need cinnamon = 1/4 * 10

                                                      = 10/4

                                                      = 2.5 tsp

7 0
3 years ago
A newspaper advertisement offers a $6500 used car for nothing down and 36 easy monthly payments of
NNADVOKAT [17]

Using simple interest, it is found that:

  • The total amount paid was of $7,084.8.
  • The finance charge was of $584.8.
  • The simple interest rate was of 3%.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I = Prt

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, the amount paid was of 36 monthly payments of

$196.80, hence:

36 x 196.80 = $7084.8.

The total amount paid was of $7,084.8.

The original price is of $6,500, hence the finance charge was of:

7084.8 - 6500 = $584.8.

For interest, we have that:

I = 584.8, P = 6500, t = 3, hence:

I = Prt

584.8 = 6500(3)r

r = \frac{584.8}{6500 \times 3}

r = 0.03

The simple interest rate was of 3%.

More can be learned about simple interest at brainly.com/question/25296782

3 0
3 years ago
Does anyone know how to like graph it for me like just tell me where they go please and thank you!
emmainna [20.7K]

Answer:(0,4), (-1,0), (-4,-2)

Step-by-step explanation:

5 0
3 years ago
What is the x intercept?
Harlamova29_29 [7]
The line that is horizontal on a graph
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7 0
3 years ago
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