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Katena32 [7]
3 years ago
10

The sum of 2 numbers is 20 and their difference is 6. What are the two numbers

Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Answer:

12 and 8

Step-by-step explanation:

bc i said

ruslelena [56]3 years ago
8 0

Answer:

13 and 7

Step-by-step explanation:

13 + 7 = 20

13 - 7 = 6

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Question D- If the area of a square is 121 square centimeters, what is its side length?
Ipatiy [6.2K]
The formula for the area of a square is the side squared, or multiplied together.

Basically, if the side length is x, the area is x*x or x^2.

We can use that to set up an equation.

x^2=121
x=square root of 121=11

Hope this helps!
3 0
3 years ago
A weather report said there is a 60% chance of rain on Monday, and a 30% chance of rain on Tuesday. Based on the report, what is
sergey [27]

Answer:

The answer is 18 percent, or 9/50.

Step-by-step explanation:

We first convert the chance of rain on Monday into a fraction.

60%=60/100=3/5.

We then convert the chance of rain on Tuesday into a fraction.

30%=30/100=3/10.

Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:

3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)

5 0
2 years ago
A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

Z = \frac{X - \mu}{\sigma}

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
3 years ago
3x + 4y = 14<br> x = 2y - 12<br><br> Which point satisfies both equations?
kicyunya [14]
The answer is x and 14
5 0
3 years ago
Read 2 more answers
A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill
SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

35d+45t=300...(1)

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

6d+8t=42...(2)

6d=42-8t...(2)

Therefore, our desired system of equation will be:

35d+45t=300...(1)

6d=42-8t...(2)  


8 0
3 years ago
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