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slavikrds [6]
3 years ago
10

Choose the correct expressions using the fewest number of bases possible that are equivalent to the current expression. Select A

ll that apply. (Note: There are 2 correct choices) Question 4 options: 23−13 210 213−3 2−10

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
<h3>2 Answers: Choice B, Choice C</h3>

The rule we use here is \frac{a^b}{a^c} = a^{b-c}

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.

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The area of a rectangular window is 6525cm2. If the length of the window is 87cm, what is its width?
nataly862011 [7]

Answer:

width= 75 cm

Step-by-step explanation:

We need to recall the formula to calculate the area of a rectangle, since we are dealing with a rectangular window:

Area of rectangle = width * length

therefore, since they give us the window's area: 6525 cm^2, and also the window's length: 87 cm, we just need to replace those values in the area formula and solve for the unknown "width". We do such by dividing both sides of the equation by 87 cm in order to isolate the unknown on one side of the equal sign;

6525cm^2 =87cm*width\\\frac{6525cm^2}{87cm} =width\\width=75cm

6 0
3 years ago
A batch of 200 calculators contains 3 defective units. What the probability that a sample of three calculators will have/be
Anika [276]

Answer:

1. 0.048

2. 0.952

3. 0.6465

Step-by-step explanation:

Requirement 1

the probability of no defective calculator is 0.048

Given,

Total calculator = 200

Number of defective = 3

Probability of defective,  

p = 3/200

= 0.015

And the probability of non-defective,

q = 1 - p

=1-0.015

=0.985

The Probability distribution of defective follows the normal distribution.

P [X=0] = 〖200〗_(c_0 ) 〖(.015)〗^0 〖(.985)〗^(200-0)

P [X=0] = 0.048

Requirement 2

the probability of no defective is 0.048.

here, the probability of at least one defective means minimum 1 calculator can be defective. So the probability of at least one will be the probability of less than or equal 1.

P [X =less than or equal 1] = 1- P [X=0]

= 1 - 0.048  

= 0.952

So the probability of at least one defective is 0.952.

Requirement 3

c) the probability of all defective calculators is 0.6465.

P [X=3] = P[X=0]+ P[X=1]+ P[X=2]+ P[X=3]

Here,

P [X=0] = 0.048

P [X=1] = 〖200〗_(c_1 ) 〖(.015)〗^1 〖(.985)〗^(200-1)

= 0.148228

P [X=2] = 〖200〗_(c_2 ) 〖(.015)〗^2 〖(.985)〗^(200-2)

= 0.2245997

P [X=3] = 〖200〗_(c_3 ) 〖(.015)〗^3 〖(.985)〗^(200-3)

= 0.2257398

So,  P [X=3] = 0.048+0.148228+0.2245997+0.2257398  

= 0.6465675

So, the probability of all defective calculators is 0.6465.

6 0
3 years ago
HELP PLEASE find the surface area of the prism
attashe74 [19]

Answer:

9:130  10:198  11:76

Step-by-step explanation:

S.A.:= 2LW+2LH+2WH

7 0
3 years ago
Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. -----&gt; Is this substitution property?
Vitek1552 [10]
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
                                   4x - 3 = 7
                               4x - 3 + 3 = 7 + 3
                                   4x = 10
8 0
3 years ago
Read 2 more answers
Find the Value of X.
Natali [406]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
6 0
3 years ago
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