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Anika [276]
3 years ago
12

Write 675,000,000 in scientific notation.

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Answer:

= 6.75 × 10^8

Step-by-step explanation:

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A parallelogram has an area of 37.72 m² and a height of 4.6 m. How long is the base of the parallelogram?
sergeinik [125]

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8.2m

Step-by-step explanation:

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2 years ago
Solve for x and y in radical form
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Remark
In a 30-60-90 triangle the opposite side and the hypotenuse of a 30 degree angle are in the ratio of 1:2.  That means if the opposite side to a 30 degree angle  is 5, then the hypotenuse should be 10.

Step one
Solve for y
ratio of 30 degree angle = opposite / hypotenuse

Givens
opposite = 5
hypotenuse = x
Ratio of 30 degree angle in a right triangle = 1/2

Sub and Solve
1/2 = opposite / hypotenuse
1/2 = 5 / hypotenuse  Multiply both sides by hypotenuse
0.5 * hypotenuse = 5 Divide by 0.5
hypotenuse = 5/0.5
hypotenuse = 10

Step 2
Find x

Givens
hypotenuse = 10
In a 30 - 60 - 90 triangle the ratio of the adjacent side to the hypotenuse = sqrt(3) / 2

Sub and solve
sqrt(3)/2 = adjacent / hypotenuse
sqrt(3) /2 = adjacent / 10         Multiply both sides by 10
10 * sqrt(3) / 2 = adjacent        Cancel
5 * sqrt(3)


3 0
3 years ago
Read 2 more answers
10 points Help Me Please I will give brainiest​
amid [387]

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Slope = 1

Step-by-step explanation:

5 0
2 years ago
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If x=9, what is the value of y in the equation below??????<br>y=8x-[1+4x]<br> plz answer
PSYCHO15rus [73]
8 times 9=72
1+4 times 8=37
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4 0
3 years ago
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Reducing scrap of 4-foot planks of hardwood is an important factor in reducing cost at a wood-floor manufacturing company. Accor
prisoha [69]

Answer:

The critical value for two tailed test at alpha=0.1 is ± 1.645

The calculated  z= 9.406

Step-by-step explanation:

Formulate the hypotheses as

H0: p1= p2 there is no difference between the population scrap rates between the old and new cutting methods

Ha : p1≠ p2

Choose the significance level ∝= 0.1

The critical value for two tailed test at alpha=0.1 is ± 1.645

The test statistic is

Z = \frac{p_1- p_2}\sqrt pq(\frac{1}{n_1} + \frac{1}{n_2})

p1= scrap rate of old method = 62/200=0.31

p2= scrap rate of new method = 36/400= 0.09

p = an estimate of the common scrap rate on the assumption that the two rates are same.

p = n1p1+ n2p2/ n1 + n2

p =200 (0.31) + 400 (0.09) / 600

p= 62+ 36/600= 98/600 =0.1633

now q = 1-p= 1- 0.1633= 0.8367

Thus

z= 0.31- 0.09/ √0.1633*0.8367( 1/200 + 1/400)

z= 0.301/√ 0.13663( 3/400)

z= 0.301/0.0320

z= 9.406

The calculated value of z falls in the critical region therefore we reject the null hypothesis and conclude that the 10% significance level that the scrap rate of the new method is different from the old method.

5 0
3 years ago
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