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Elena L [17]
3 years ago
9

7.053 x 10^6 in standard form

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

7,053,000

Step-by-step explanation:

we have

7.053*10^{6}

we know that

7.053*10^{6}=7.053*(1,000,000)=7,053,000

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Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of
erik [133]

Answer:

2.88

Step-by-step explanation:

Data provided in the question

\sigma = Population standard deviation = 7 miles per hour

Random sample = n = 32 vehicles

Sample mean = \bar X = 64 miles per hour

98% confidence level

Now based on the above information, the alpha is

= 1 - confidence level

= 1 - 0.98

= 0.02

For \alpha_1_2 = 0.01

Z \alpha_1_2 = 2.326

Now the margin of error is

= Z \alpha_1_2 \times \frac{\sigma}{\sqrt{n}}

= 2.326 \times \frac{7}{\sqrt{32}}

= 2.88

hence, the margin of error is 2.88

5 0
3 years ago
Drove that<br>sinA+ sin5=2 sin A +5/2 COSA -5/2​
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Put it in a more simplified form
6 0
2 years ago
Find the area of the figure. (Sides meet at right angles.)
Dafna11 [192]
The area is 70in^2 because you find the area of the square without the missing piece then subtract area of missing piece from total
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3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the st
Zina [86]

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___  and tan(θ) =___.

Answer:

Sin\theta = \frac{-15}{17}

Tan\theta = \frac{15}{8}

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

cos(\theta) = \frac{Adj}{Hyp}

Where Adj and Hyp represent Adjacent and Hypotenuse

cos(\theta) = \frac{-8}{17}

By comparison

Adj = -8\ and\ Hyp = 17

Using Pythagoras

Hyp^2 = Adj^2 + Opp^2

By Substitution

17^2 = (-8)^2 + Opp^2

289 = 64 + Opp^2

Subtract 64 from both sides

289 - 64 = 64 - 64 + Opp^2

225 = Opp^2

Take square roots of both sides

\sqrt{225} = \sqrt{Opp^2}

\sqrt{225} = Opp

15 = Opp

Opp = 15

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

Opp = -15

From trigonometry

Sin\theta = \frac{Opp}{Hyp}

Sin\theta = \frac{-15}{17}

Also from trigonometry

Tan\theta = Sin\theta / Cos\theta

Tan\theta = \frac{-15}{17} / \frac{-8}{17}

Tan\theta = \frac{-15}{17} * \frac{-17}{8}

Tan\theta = \frac{-15 * -17}{17  * 8}

Tan\theta = \frac{15 * 17}{17  * 8}

Tan\theta = \frac{15}{8}

5 0
3 years ago
X^2-3x-28=0 what are the roots
Oksi-84 [34.3K]

Answer:

\large\boxed{x=-4\ \vee\ x=7}

Step-by-step explanation:

x^2-3x-28=0\\\\x^2+4x-7x-28=0\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\x=-4\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7

8 0
3 years ago
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