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2 years ago

Marissa is drawing coins from a bag that contains 5 pennies, 4 nickels, 5 m

2 answers:

6 0

a. Calculate the sum of all the coins combined = 5 + 4 + 5 + 2 =16. Then put the nickels over the sum = 4/16 = 1/4 = 0.25 = 25%

b. Add the new coins to the sum = 4/20 = 1/5 = 0.20 = 20%

c. She is more likely to draw a nickel in scenario A.

SIZIF [17.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

Total no of coins in the bag $= 5+4+5+2 =16$

a) the probability that she will draw a nickel=no of nickels/total coins

= $\frac{4}{16} =0.25$

If one penny, two dimes and one quarter added then we have total coins new as = $16+1+2+1 = 20$

the

new probability that Marissa will draw a nickel= new nickel coins/new total

= $\frac{4+0}{20} =0.20$

IN the first situation there is more likely as probability is more.

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Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......

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Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

$S_n= \frac{a_1(1-r^n)}{1-r}$

common ratio is -3
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first term is -5
and we want the 8th term

$S_8= \frac{-5(1-(-3)^8)}{1-(-3)}$
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1 year ago

Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time X

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Part A the coefficient is 20c and 35w, the variable is c and w representing cost and week. and the constant is 23.50.

Part B He would have 503.50 because 35(12)+60=420x+60+23.50 which would be 503.50

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2 years ago

On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle. Distance formula: Sta

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Step-by-step explanation:

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2 years ago

Read 2 more answers

You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as p

marysya [2.9K]

Answer:

179.5 - 180.5

Step-by-step explanation:

Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.

Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.

In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5

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2 years ago

An experiment was performed to compare the wear of two different laminated materials. Twelve pieces of material 1 were tested by

GenaCL600 [577]

Answer:

At 0.05 level of significance, the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

Step-by-step explanation:

We hypothesize that mean difference between abrasive wear of material 1 and material 2 is greater than 2.

So we write the null hypothesis $H_0 : \mu_1 - \mu_2 >2$ ,

and the alternative hypothesis $H_1: \mu_1 - \mu_2 \leq 2$ .

We will find the T-score as well as the p-value. If the p-value is less than the level of significance, we will reject the null hypothesis, i.e. we will conclude that the abrasive wear of material 1 is less than that of material 2. Otherwise, we will accept the null hypothesis.

Since the variance is unknown and assumed to be equal, we will use the pooled variance

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where $n_1 = 12, n_2 =10, s_1 =4, s_2 = 5$ .

The mean of material 1 and material 2 are $\mu_1 =85, \mu_2=81$ respectively and mean difference $d$ is equal to 4. The hypothesize difference $d_0$ is equal to 2.

To find the T-score, we use the following formula

$T = \frac{d - d_0}{\sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2} }}$

Substituting all the values into the T-score formula gives us $T = 1.04$ , and the respective p-value is equal to 0.31. This means we have enough statistical evidence not to reject the null hypothesis, and at 5% significance level, the abrasive wear of material 1 exceeds that of material 2 by more than 2 units.

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1 year ago