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3 years ago

5

alexis scored recieved an 85, 89, 92 on three tests. how many points does she need to score on her next test to get an average o

f at least 90

1 answer:

vovikov84 [41]3 years ago

3 0

Answer:

94

Step-by-step explanation:

85 + 89+ 92 + 94 = 360

360 / 4 = 90

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PartA: Explain why x=6makes 4x-5< 19.

NARA [144]

Answer:

It doesn't.

Step-by-step explanation:

If you plug in 6 in the x spots you will have:

<h3>4(6)-5 < 19</h3>

If you solve that, you will get:

<h3>19< 19</h3>

So considering that they are the same number, this doesn't make sense because it should be an equal sign.

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2 years ago

a pottery maker can make 24 vases in 8 days. if the pottery maker works 6 hours each day. how long does it take to make 1 vase

Eva8 [605]

It would take the pottery maker 2 hours to make a vase.

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3 years ago

Read 2 more answers

A circle has an area of 483.1 square units. Find the radius to the nearest tenth.

morpeh [17]

The answer would be 12.4 .

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3 years ago

10x - 4 = 2 ( ? ) is it a) 5x - 4 b) 5x - 2 c) 10x - 4 d ) 10x - 8

attashe74 [19]

We have that

<span>10x - 4 = 2 ( ? )
</span>I proceed to replace the missing value with the given expression

case a-------------> <span>5x - 4
</span><span>then
</span>10x - 4 = 2 (5x-4 )--------> 10x - 4 = 10x-8--------> is not solution

case b-------------> 5x - 2
then
10x - 4 = 2 (5x-2 )--------> 10x - 4 = 10x-4--------> is solution

case c-------------> <span>10x - 4
</span>then
10x - 4 = 2 (10x - 4 )--------> 10x - 4 = 20x-8--------> is not solution

case d-------------> <span>10x - 8
</span>then
10x - 4 = 2 (10x - 8 )--------> 10x - 4 = 20x-16--------> is not solution

the answer is the option b) 5x - 2

3 0

3 years ago

A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,

slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is $\frac{1}{2}$ , in the second is $\frac{1}{4}$ , in the third is $\frac{1}{8}$ and so on. Then, P(C) is given by the next sum:

$P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1$

This is a geometric series with factor $\frac{1}{2}$ . Then is convergent to $\frac{1}{1-\frac{1}{2}}-1=1.$ . With this we have proved that P(C)=1.

Now, observe that

$P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.$

Then

$P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}$

$P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}$

$P(C1\cap C2)=P(TTTTH)=\frac{1}{32}$

and

$P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}$

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2 years ago