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vredina [299]
3 years ago
10

For a science experiment Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolv

ed 2.0 pounds of salt in 11.0 pints of water. Which person made a more concentrated salt solution? Complete the explanation. Use 1 kg = 2.2 lb and 1 L = 2.11 pints. Round your answers to the nearest hundredth.
Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0
Marcia dissolved 1 kg of salt in 3 litres of water.
Bobby dissolves 2 pounds of salt in 7 pints of water
2.11 pints = 1 litre
7 pints = 7/2.11
           = 3.32 litre
1 pound =0.45 kg
2 pound = o.45*2 kg
               = 0.9 kg
So we find that Bobby is dissolving 0.9kg of salt in 3.32 litre of water
Marcia is dissolving 1 kg of salt in 3 litres of water.
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Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a nu
tamaranim1 [39]

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

6 0
3 years ago
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
Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. 5 +
Anettt [7]

Answer:

\Large\boxed{21}

Step-by-step explanation:

To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right. Remember to use the order of operations stands for "Please Excuse My Dear Aunt Sally."

Do parenthesis first.

\displaystyle(8-6)=2

\displaystyle 5+4\times2^2

Next, exponent.

\displaystyle 2^2=2\times2=4

\displaystyle 5+4\times4

Multiply & divide numbers from left to right.

\displaystyle 4\times4=16

Finally, add & subtract numbers from left to right.

\displaystyle 5+16=21

As a result, the correct answer is 21.

4 0
3 years ago
3. If you were to graph the equation y = -x + 1 and graph the equation y
Nat2105 [25]

Answer: (3, -2)

Step-by-step explanation: graphed both of em on desmos and thats the intersection.

5 0
2 years ago
I need this answer ASAP please! The rectangle in the figure is composed of six squares. Find the side length of the largest squa
Sladkaya [172]

Answer:

7

Step-by-step explanation:

the side length of the largest square is x

2x-1=3x-8

    -x=-7

       x=7

3 0
3 years ago
Read 2 more answers
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