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Black_prince [1.1K]
1 year ago
5

elijah's credit card statement showed these items: Last Balance Payments Finance Rate New Charges $152.58 $45.00 1.5% $213.40 Wh

at is Elijah's new balance? $320.98 $322.59 $323.27 $397.51
Mathematics
1 answer:
elena55 [62]1 year ago
7 0

Answer:

Option A,$320.98  is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

last balance as shown by the statement was $152.58

new charges were $213.40

payment made by Elijah was  $45

new balance=$152.58+$213.40-$45=$320.98

The rationale for this is that the new charges on the card account add to previous balance owed by Elijah while the payment of $45 made reduces overall balance.

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320miles on 34 gallons in simplest form
Alborosie

Answer:

9 and 2/5 gallons

Step-by-step explanation:

34 x 9 gallons = 306 miles

14 / 34 = 4/10 of the gallons

4/10 simplified = 2/5

Answer: 9 2/5

8 0
2 years ago
Read 2 more answers
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu
Pavlova-9 [17]

Answer:

Mean = 3.4

Variance = 1.088

Standard deviation = 1.0431

Step-by-step explanation:

P=0.68\\ \\N=5

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is m=N\cdot p

Thus,

m=5\cdot 0.68=3.4

The variance of the binomial distribution is s^2=Np(1-p), where s^2​​ is the variance of the binomial distribution, so

s^2=5\cdot 0.68\cdot (1-0.68)=3.4\cdot 0.32=1.088

The standard deviation s is the square root of the variance s^2, so

s=\sqrt{1.088}\approx 1.0431

3 0
1 year ago
Sakura speaks 150150150 words per minute on average in hungarian, and 190190190 words per minute on average in polish. she once
tamaranim1 [39]
We have:
 in hungarian:
 h = 150 words / min
 in polish:
 190 words / min
 Let:
 x: number of words in Hungarian.
 y: number of words in Polish.
 We have the following system of equations:
 (1/150) * (x) + (1/190) * (y) = 5
 y = x + 270 
 The solution is:
 x = 300 words
 y = 570 words
 Therefore the time speaking in each language is:
 in hungarian:
 (1/150) * (300) = 2 min
 in polish:
 (1/190) * (570) = 3 min
 Answer:
 in hungarian: 2 min
 in polish: 3 min

8 0
2 years ago
Hiros family lives 448 kilometers from the beach.Each of the 5 adults drove the family van an equal distance to get to and from
Drupady [299]

Answer:

179.2km

Step-by-step explanation:

The distance from their house to the beach is 448km. Now they have to drive to and from the beach. The total distance traveled by the family is 448km + 448km.

This is equal to 896km. Now we have 5 adults who took their turns to drive and they drove the same distance. The total distance traveled by each adult will be 896/5 = 179.2km

Hence, each adult in the family drove a distance of 179.2km

3 0
2 years ago
In a survey, 376 out of 1,078 US adults said they drink at least 4 cups of coffee a day. Find a point estimate (P) for the popul
lesya692 [45]

Answer:

The point estimate is 0.3488.

The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).

Step-by-step explanation:

In a sample with a number n of people surveyed with a point estimate of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1078, \pi = \frac{376}{1078} = 0.3488

The point estimate is 0.3488.

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3488 - 2.575\sqrt{\frac{0.3488*0.6512}{1078}} = 0.3114

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3488 + 2.575\sqrt{\frac{0.3488*0.6512}{1078}} = 0.3862

The 99% confidence interval for the proportion of adults who drink at least 4 cups of coffee a day is (0.3114, 0.3862).

6 0
2 years ago
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