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3 years ago

6

Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot rep

resents their reported number of hours of phone usage per week.

1 answer:

RUDIKE [14]3 years ago

7 0

Answer:

where is the dot plot??

Step-by-step explanation:

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Review the proof step statement 1 cos(2x) = 1-sin^2(x)

ehidna [41]

Answer:

Option (3)

Step-by-step explanation:

Correct steps for the proof are,

Step Statement

1 cos(2x) = 1 - 2sin²(x)

2 Let 2x = θ

3 x = $\frac{\theta}{2}$

4 $\text{cos}\theta = 1 - 2\text{sin}^2(\frac{\theta}{2} )$

5 $\text{cos}\theta-1 =-2\text{sin}^2(\frac{\theta}{2} )$

6 $1-\text{cos}\theta =2\text{sin}^2(\frac{\theta}{2} )$

7 $\frac{1-\text{cos}\theta}{2} =\text{sin}^2(\frac{\theta}{2} )$

8 $\pm \sqrt{\frac{1-\text{cos}\theta}{2} }=\text{sin}(\frac{\theta}{2} )$

There is a mistake in step 6.

Therefore, Option (3) will be the answer.

3 0

3 years ago

Given the expression below, identify its factors.<br><br> 3a + 4b– 7c - 12

Mkey [24]

Answer:

i dont think you can solve this because

The expression is not factorable with rational numbers.

there are no like terms

4 0

3 years ago

State if each triangle is a right triangle

Aleks04 [339]

No, each triangle is not a right triangle

7 0

3 years ago

Read 2 more answers

Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

labwork [276]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$

Therefore, the total outcomes for drawing straight are:

$N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240$

Thus, the probability of getting a straight hand is:

$P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039$

7 0

3 years ago

Plzzzzz help<br><br><br><br><br><br><br><br> 45<br><br> 55<br><br> 95

Phantasy [73]

Answer:

95

Step-by-step explanation:

yeah

8 0

4 years ago

Read 2 more answers