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ElenaW [278]
3 years ago
11

Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundr

ess for $21.50 and two tanks tops...One that was $9.99 and one that was $15.44. The tax came to $7.34 but shipping was free. How much did Mrs. B. Spend altogether? If the budget for spending was $100, how much money does Mrs. B. Have left?
Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Step-by-step explanation:

3 pairs of flip flops = 14.95 x 3 = 44.85

Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78

After adding tax = 91.78 + 7.34 = 99.12

Mrs B spent 99.12 altogether

Budget = 100

Then money left = 100 - 99.12 = 0.88

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The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?
Bumek [7]

Answer:

J

Step-by-step explanation:

y \alpha x \\  \frac{y}{x}  = k \\  \frac{21}{3}  =  \frac{105}{x}  \\ x = 15

3 0
3 years ago
If the P-value is 0.02, it means that the probability of obtaining the sample statistic is 2%, if the null hypothesis is true. t
Talja [164]

Answer:

Option a) The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.

Step-by-step explanation:

We are given that the p-value is 0.02

Converting it into percentage:

0.02\times 100 = 2\%

P-value can be explained as:

  • P-value can be described as probability of the occurrence of a given event
  • The p-value, or probability, is the probability of finding the observed results when the null hypothesis H_0 of a study is true.
  • If the p-value is less than the chosen significance level then we reject the null hypothesis and accept that the sample gives reasonable evidence to support the alternative hypothesis.
  • A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
  • The p-value is the probability to the right of our test statistic.
  • The smaller is the p-value, the stronger are the evidence against the null hypothesis and in favor of alternative hypothesis.

Hence, Option a) correctly describes the p-values as:

The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.

8 0
3 years ago
Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age
Effectus [21]

Answer:

P = (65 - R) / 60

Step-by-step explanation:

Raul's grandfather is Miguel

Raul's sister is Paula

We are given that Raul’s age is the same as his grandfather’s age minus 60 times the age of his sister. If we write this mathematically, we have that:

R = M - (60*P)

Where R = Raul's age, M = Miguel's age and P = Paula's age

We are then given that Miguel is 65 years old, this means that M = 65

=> R = 65 - 60P

To find Paula's age, we make P the subject of formula, hence:

60P = 65 - R

=> P = (65 - R) / 60

We can use this expression to find Paula's age.

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4 years ago
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Step-by-step explanation:

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3 years ago
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26 divided by 000.0000000009
Flura [38]

Answer:

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The expression contains a division by  

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