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emmainna [20.7K]
3 years ago
9

Evaluate 1x^3 –2x^2 – 4x- 6 at x = 4

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

10

Step-by-step explanation:

1x^3-2x^2-4x-6

x^3-2x^2-4x-6

(4)^3-2(4)^2-4(4)-6

64-2(16)-16-6

64-32-16-6

32-16-6

16-6

10

So when x=4, the output will be 10

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According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability
Andru [333]

Answer:0.001

x=the number of workers taking the bus to work

p= probability of success =(15/100) = 0.15

q= probability of failure =1- p = 0.85

P(X=6) = 10C6(0.15)^6(0.85)^4

            = 0.001

4 0
3 years ago
Read 2 more answers
The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
3 years ago
A rectangle has a perimeter of 34 cm. It’s length is 5 more than twice it’s width.Write and solve a system of equations to find
Aloiza [94]

Answer:

Length = 13 cm

Step-by-step explanation:

Length (L) = 2 x Width (W) + 5

2 x (L + W) = 34

2 x (2W + 5 + W) = 34

6W + 10 = 34

6W = 34-10 = 24

W=4

L = 13

6 0
3 years ago
A square garden has an area of 1,600 square feet. How long is each side of
kiruha [24]

Answer:

40

Step-by-step explanation:

why? because 40x40=1600

6 0
3 years ago
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
makvit [3.9K]

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

3 0
3 years ago
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