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nata0808 [166]
2 years ago
14

Estimate 0.482 x 61.2^2 ÷ square root of 98.01

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

It says estimate so I'm not sure if you want the exact answer but after calculating all of this I got 182.353745455

Hope this helps :)

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The graph shows the function representing the recommended amount of mulch, in cubic yards, for circular flowerbeds based on the
MAVERICK [17]

Answer: 13

Step-by-step explanation:

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2 years ago
robin is making bead necklaces she want to use 717 beads to make 57 necklaces. if she wants each necklaces to have the same numb
EleoNora [17]

717=12\cdot684+33

<u>33 beads</u>

7 0
2 years ago
Seventy independent messages are sent from an electronic transmission center.Messages are processed sequentially, one after anot
zlopas [31]

Answer:

The probability that all 70 messages are transmitted in less than 12 minutes is 0.117.

Step-by-step explanation:

Let <em>X</em> = the transmission time of each message.

The random variable <em>X</em> follows an Exponential distribution with parameter <em>λ</em> = 5 minutes.

The expected value of <em>X</em> is:

E(X)=\frac{1}{\lambda}=\frac{1}{5}=0.20

The variance of <em>X</em> is:

V(X)=\frac{1}{\lambda^{2}}=\frac{1}{5^{2}}=0.04

Now define a random variable <em>T</em> as:

T = X₁ + X₂ + ... + X₇₀

According to a Central limit theorem if a large sample (<em>n</em> > 30) is selected from a population with mean μ and variance σ² then the sum of random variables <em>X</em> follows a Normal distribution with mean, \mu_{s} = n\mu and variance, \sigma^{2}_{s}=n\sigma^{2}.

Compute the probability of T < 12 as follows:

P(T

*Use a <em>z</em>-table for the probability.

Thus, the probability that all 70 messages are transmitted in less than 12 minutes is 0.117.

6 0
2 years ago
A tourist looks out from the observation deck of the Space Needle in Seattle. The deck is at a height of 520 ft. She sees her fr
WARRIOR [948]

Answer:

Last option 527.7 ft

Step-by-step explanation:

From the diagram attached we can see the angle of depression is 80.2 which is equal to ∠ACB (alternate angles)

Height of the deck AB = 520 ft. and we have to calculate the distance H between the tourist and her friend.

Sin ∠ACB = \frac{AB}{AC}

Now we apply sin rule sin 80.2 = \frac{520}{H}

.9854=\frac{520}{H}

H = \frac{520}{.9854} = 570 ft

So the tourist and her friend are 527.7 ft apart.

6 0
2 years ago
Sara has 20 sweets.
nalin [4]

Answer:

The probability that the two sweet will not be same type is \frac{111}{190}

Step-by-step explanation:

P(two sweets not same) = 1 - P( two sweets will be same)

There are 3 possible outcomes where two sweets will be same.

1. it can be two liquor-ice, 2. it can be 2 mint and 3. it can be two humbug

P(two liquor-ice) =\frac{12}{20} \times\frac{11}{19}= \frac{33}{95}

P(two mint) =\frac{5}{20} \times \frac{4}{19} =\frac{1}{19}

P(tow humbug) =\frac{3}{20} \times\frac{2}{19} =\frac{3}{190}

Now we have:

P(two sweets not same) = 1 - P( two sweets will be same)

                                  =1- \left(\frac{33}{95}+ \frac{1}{19}+ \frac{3}{190} \right)

                                   1-\frac{79}{190}

                                   =\frac{111}{190}

Therefore, the probability that the two sweet will not be same type is \frac{111}{190}

3 0
2 years ago
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