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elena-14-01-66 [18.8K]
3 years ago
14

What is the value of x if the sides of a equilateral triangle are x+9 , 3x-9 , and 2x

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

x=9

Step-by-step explanation:

The triangle is equilateral which means the sides are equal.

x+9 = 2x

Subtract x from each side

x+9-x = 2x-x

9 =x

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Most soybeans grown in the United States are genetically modified to, for example, resist pests and so reduce use of pesticides.
garri49 [273]

Answer:

Interval [0.67;0.95]

Step-by-step explanation:

Hello!

You need to estimate the population proportion of grain-handling facilities that detect GM beans in shipments with a confidence interval.

The formula you have to use is:

^ρ±Z_{1-\alpha/2} * √(^ρ*(1-^ρ)/n)

where ^ρ represents the sample proportion

^ρ= x/n = 17/21 = 0.809 ≅ 0.81

Confidence level 90%

Z_{1-0.0.05} = Z_{0.95} = 1.64

Interval

0.81±1.64 * √((0.81*0.19)/21)

0.81±0.140

[0.67;0.95]

With a confidence level of 90% you'd expect that the interval [0.67;0.95] contains the population proportion of grain-handling facilities that detect GM beans in shipments.

Remember:

The confidence level of an interval is the probability under which it is built. This probability indicates that if they build 100 confidence intervals, we expect 90 to contain the value of the population mean we are trying to estimate.

The bigger the confidence level, the bigger is the chance that it contains the estimated parameter, but then again, if you were to study the whole population there is no chance you'll miss the parameter.

The smaller the confidence level, there are fewer chances that it will contain the estimated parameter, but if it does, the estimation would be more accurate than with a bigger level.

You can think it like this, a shooter that hits the target at a distance of 5 meters (low confidence level) is way better than a shooter that hits the target at a distance from 20 cm (high confidence level)

90% Confidence level is acceptable enough to have an accurate estimation of the population parameter.

I hope it helps!

8 0
3 years ago
Freezer A measures 1 ft times 1 ft times 5 ft and sells for ​$300. Freezer B measures 1.5 ft times 1.5 ft times 4 ft and sells f
Sladkaya [172]

Answer:

Freezer A is better option as price per cubic foot is less for Freezer A

Step-by-step explanation:

Data provided in the question:

Measure of Freezer A = 1 ft × 1 ft × 5 ft

Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft

Price of Freezer  A = $300

Price of Freezer  B = $600

Now,

Volume of Freezer A = 1 ft × 1 ft × 5 ft

= 5 ft³

Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft

= 9 ft³

Now,

Price per cubic foot for Freezer A = $300 ÷ 5 ft³

= $60/ft³

Price per cubic foot for Freezer B = $600 ÷ 9 ft³

= $66.67/ft³

Hence,

Freezer A is better option as price per cubic foot is less for Freezer A

7 0
2 years ago
If x is a positive integer and y is a negative integer than x + y is a rational number.
romanna [79]

Answer:

Yes

Step-by-step explanation:

An integer is a whole number so if x is positive and y is negative then the equation would just be x plus negative y. But x+-y is an odd equation so the simplified version is x-y so it is a rational number, since a rational number is a number that can be rewritten as a simple fraction.

5 0
3 years ago
Which expression is equivalent to<br> 125<br> ori-<br> of<br> one
Lapatulllka [165]

Answer:The answer is d which is 25

Step-by-step explanation: No Explain Sorry

6 0
2 years ago
Please help quickly !!
Nataly_w [17]

Answer:

16.5x == 465.3

Step-by-step explanation:

To find the rate , take the number of miles and divide by the gallons

rate = 465.3 / 16.5

Let the rate be x

x = 465.3 / 16.5

Multiply each side by 16.5

16.5x =  465.3

6 0
2 years ago
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