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rodikova [14]
3 years ago
12

Can someone help and show the work please

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

<h2><em>A = 75 in²</em></h2>

Step-by-step explanation:

We have the rectangle and the right triangle.

The formula of an area of a rectangle:

<em>A = lw</em>

<em>l</em> - length

<em>w </em>- width

We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:

<em>A = (10)(5) = 50 in²</em>

The formula of an area of a triangle:

<em>A = 1/2 bh</em>

<em>b</em> - base

<em>h</em> - height

We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:

<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>

The area of figure:

<h3><em>A = 50 in² + 25 in² = 75 in²</em></h3>
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The probability of picking red button is \frac{1}{4}

<u>Solution:</u>

Given, A jar contains 30 red, 30 blue, and 60 white buttons.  

You pick one button at a random choice,  

We have to find the probability that it is red button.

Now, total number of buttons = 30 + 30 + 60 = 120 buttons.

Number of favourable cases for red button = 30 red buttons.

The probability of an event is given as:

\text { probability of a event }=\frac{\text { favourable ways to pick red }}{\text { total possiblities }}

=\frac{30}{120}=\frac{1}{4}

Thus the probability that it is red is \frac{1}{4}

3 0
3 years ago
11+m&gt;15 what’s the answer for this problem?
hjlf

Answer:

m > 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

11 + m > 15

<u>Step 2: Solve for </u><em><u>m</u></em>

  1. Subtract 11 on both sides:                    m > 4

Here we see that any value <em>m</em> greater than 4 would work as a solution to the inequality.

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2 years ago
The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope
IrinaK [193]

1.The sample is biased because it does not represent the population.

2.The question is biased toward a Yes response.

4 0
3 years ago
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with mean 1/0.41/0
lbvjy [14]

Answer:

a) P(t>3)=0.30

b) P(t>10|t>9)=0.67

Step-by-step explanation:

We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.

The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.

The probabity that a repair time exceeds k hours can be written as:

P(t>k)=e^{-\lambda t }=e^{-0.4t}

(a) the probability that a repair time exceeds 3 hours?

P(t>3)=e^{-0.4*3}=e^{-1.2}= 0.30

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?

The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.

In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

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P(k>1)=e^{-0.4*1}=0.67

6 0
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Fed [463]

Answer:

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As seen in figure the angle ∠XYZ is dividing into two equal parts.

The first step of construction is to place the needle of compass at Y and draw an arc that intersects YX and YZ.

Hence, the correct option is option C.

Place the compass point on vertex Y and draw an arc that intersects YX and YZ

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