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Mkey [24]
3 years ago
13

Write a proof. Given 4 x+ 9 = 18 = -x/2 Prove x=2

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0
You can prove that x=2 because if you work the equation out it will give you the estimated total. so multiple 4 and 2. you'll get 8, so add 8 and 9 and you'll get 18 :)
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Okay Google what is the reciprocal of 6/5
maks197457 [2]
Whenever you are asked to find a fraction's reciprocal, just make the numerator the denominator and vice versa. So, 6/5 would be 5/6. Another example would be 2/3 becoming 3/2.
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3 years ago
Lanny bought 1 4 pounds of rice that costs $0.40 per pound. How much does lanny pay for the rice ?
lesya692 [45]

Answer:

The answer is $5.60

Step-by-step explanation:

14×0.40= 5.6

5 0
3 years ago
travis drove 129 miles in 3 hours.he drove at a constant speed.how many miles did he drive in 1 hour?
Dennis_Churaev [7]
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5 0
4 years ago
Read 2 more answers
In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence
Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0
3 years ago
An isosceles trapezoid has bases of lengths 6 and 8 and a height of 16. Find the area.
11111nata11111 [884]

Answer:

Step-by-step explanation:

In an isosceles trapezoid, the opposite sides are equal.

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 6

b = 8

height = 16

Therefore,

Area of trapezoid = 1/2(6 + 8)16

= 1/2 × 14 × 16 = 112 square units

3 0
3 years ago
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