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1 year ago

5

Use Example 1 as a model to evaluate the limitlim n→∞ nf(ci)Δxii = 1over the region bounded by the graphs of the equations. (Rou

nd your answer to three decimal places.)f(x) = x, y = 0, x = 0, x = 21Hint: Let ci = 21i2n2.

1 answer:

Valentin [98]1 year ago

3 0

Answer:

Explanation:

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7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in

Svetach [21]

Answer:

-x + -13

Step-by-step explanation:

Rewrite: 5(x – 4) + 3x – 9x + 7

Step 1: 5(x + –4) + 3x + –9x + 7

Step 2: 5x + -20 + 3x + –9x + 7

Step 3: 5x + 3x + –9x + -20 + 7

Step 4: -1x + -13

Step 5: -x + -13

3 0

3 years ago

In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is

Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

$\mu=np=300\times0.077=23.1$

$\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62$

Now, using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponding to 26 will be :-

$z=\dfrac{26-23.1}{4.62}\approx0.63$

Using standard distribution table for z , we have

P-value= $P(z\geq0.63)=1-P(z$

$=1-0.7356527=0.2643473\approx0.2643$

Hence, the probability that at least 26 in the sample are unemployed =0.2643

6 0

3 years ago

NEED ANSWER ASAP

kkurt [141]

Answer:

$f(2) = 81$

$g(2) = 83$

Science class had a higher average

Step-by-step explanation:

Given

$f(x) = 0.5x + 80$

g(x) table

Solving (a): f(2)

We have:

$f(x) = 0.5x + 80$

So:

$f(2) = 0.5*2 + 80$

$f(2) = 1 + 80$

$f(2) = 81$

Solving (b): g(2)

From the given table.

$g(2) = 83$

Solving (c): f(4) or g(4); which is greater

$f(x) = 0.5x + 80$

So:

$f(4) = 0.5*4+80$

$f(4) = 2+80$

$f(4) = 82$

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

$g(x) = g(x-1)+2$

So

$g(4) = g(4-1)+2:$

$g(4) = g(3)+2$

$g(4) = 85+2$

$g(4) = 87$

<em>Hence, g(4) i.e. Science class is greater</em>

6 0

3 years ago

A patient is on a weight loss plan. At the beginning, the patient weighed 279 pounds. The first week, he lost 5.5 pounds. The 2n

Stolb23 [73]

The patient weighs about 268 pounds after the 4 week diet.

6 0

3 years ago

Read 2 more answers

Alang owns a small business selling ice-cream. He knows that in the last week 62

anzhelika [568]

Step-by-step explanation:

last week there were

62 + 60 + 2 = 124 customers.

that means that the fraction of the customers, who paid by credit card, was

2/124 = 1/62

in situations like that, when we use history data and try to predict future behavior, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/62, if customers to use credit cards.

for the absolute number of predicted credit card customers we multiply the predicted number of customers by the expected fraction

1000 × 1/62 = 500/31 = 16.12903226... ≈ 16

so, he expects 16 credit card customers.

5 0

2 years ago