2 years ago

Estimate the product by rounding 9x54

Mathematics

1 answer:

lions [1.4K]2 years ago

6 0

Answer:

10×50=500

Step-by-step explanation:

9=10

54=50

I think its right but im not sure

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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

3 years ago

Estimate the product by rounding 2 x 6,254

Pavlova-9 [17]

5 × 6,254= 31,300 is the awnser :)

6 0

3 years ago

What is 43.043 in expanded form

nordsb [41]

40+3+.04+.003

expanded form is showing what you have to add together

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3 years ago

I make $40,000 per year. I have been offered a promotion and a $5,000 raise per year. My average federal income tax rate will go

Paha777 [63]

Answer:

Yes

Step-by-step explanation:

40000 x .10 is 4000 in tax. Total after tax would be 36,000

45,000 × .15 is 6750. Total after tax would be 38,250 which is more

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3 years ago

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leonid [27]

Answer:

3 times greater

Step-by-step explanation:

6.7 x 10 to the 6 = 6700000

2x 10 to the 7 = 20000000

20000000/6700000 = 2.98507462687

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6 0

3 years ago