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3 years ago

Bonnie deposits $70.00 into a new savings account.

Mathematics

1 answer:

serg [7]3 years ago

4 0

Answer:

B. $79.45

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.

I = (70)(0.045)(3)

I = 9.45

70 + 9.45 = $79.45

Please let me know if you have questions.

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PLEASE ANSWER THIS IS URGENT

mr Goodwill [35]

Answer:

i think its 48 but dont trust me im just doing this for points hope you get a good grade on it

Step-by-step explanation:

6 0

3 years ago

The store is selling lemons at $0.64 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l

fomenos

$5.12
Each pie requires 1/2 a cup of lemon juice, you make 2 pies so you need a cup of lemon juice. There are 16 tbsp to a cup, each lemon has 2 tbsps of juice, so you’ll need 8 lemons. Each lemon cost $0.64
8*0.64= $5.12

3 0

3 years ago

When we toss a coin, there are two possible outcomes: a head or a tail. Suppose that we toss a coin 100 times. Estimate the appr

marin [14]

Answer:

96.42% probability that the number of tails is between 40 and 60.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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:

100 tosses, so $n = 100$

Two outcomes, both equally as likely. So $p = \frac{1}{2} = 0.5$

$E(X) = np = 100*0.5 = 50$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5$

Estimate the approximate probability that the number of tails is between 40 and 60.

Using continuity correction.

$P(40 - 0.5 \leq X \leq 60 + 0.5) = P(39.5 \leq X \leq 60.5)$

This is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 39.5. So

X = 60.5

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

$Z = \frac{60.5 - 50}{5}$

$Z = 2.1$

$Z = 2.1$ has a pvalue of 0.9821

X = 39.5

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

$Z = \frac{39.5 - 50}{5}$

$Z = -2.1$

$Z = -2.1$ has a pvalue of 0.0179

0.9821 - 0.0179 = 0.9642

96.42% probability that the number of tails is between 40 and 60.

8 0

3 years ago

The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.

GenaCL600 [577]

In case of dogs the value 10 is the minimum value. So all the values lie above 10. In total there were 100 dogs.
So for dogs, we can say number of dogs above the value of 10 pound are 100.

In case of Cats, 10 lies at the position of median. Median is the central value and 50% values lie above the median value. So number of cats with weight above 10 pound is 50.

Thus, we can conclude that there were 50 more dogs than the cats with weight over 10 pounds. So option C gives the correct answer.

8 0

3 years ago

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A right rectangular pyramid is sliced vertically (down) by a plane passing

qwelly [4]

Answer:

isosceles triangle

Step-by-step explanation:

the shape of cross section is isosceles triangle

6 0

2 years ago

Read 2 more answers