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3 years ago

7.884 roundest to the nearest hundredth

Mathematics

2 answers:

a_sh-v [17]3 years ago

4 0

Answer:

7.88

Step-by-step explanation:

7.88 because 4 is less than 5 so the number stay the same.

jek_recluse [69]3 years ago

3 0

Answer:

7.89

Step-by-step explanation:

Any number above 5 gets rounded up and numbers below 4 get rounded down. so 3.49 would become 3.5

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At a store clearance, a woman spent less than $200 on shirts that were labeled $15 each. How many shirts did she buy? Identify t

Wewaii [24]

TECHNICALLY. its 13. but Put 12

4 0

3 years ago

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message

docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0

3 years ago

Find the area of the striped sector if ∠ A = 45° and the circle has a radius of 10 inches.

Pie

A diagram must be provided along with the question above. Based on my research, here is what I got.

<span>100 pi is the area of the entire circle
That makes :
</span><span>∠ A = 45°/360 = 1/8
</span> 100pi/8 = 25 pi / 2

The answer is option D)25π over 2. I hope this answer helps.

4 0

3 years ago

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Find the rate of change

vesna_86 [32]

Answer:

Step-by-step explanation:

The rate of change is the ratio of the change in Y to the change in X.

When Y changes from -40 to 4, that is an increase of 44 (4--40=4+40=44), so the change in Y is +44. The corresponding change in X is from -3 to 1, so the change in X is +4 (1--3=1+3=4). The ratio of the change in Y to the change in X is 44/4=11.

Try doing the same computation going from the second row to the third row and you will get the same ratio of 11.

5 0

3 years ago

Read 2 more answers