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julia-pushkina [17]
3 years ago
5

tara worked 55 hours and earned $453.75.let E equal taras total earnings and h equal the number of hours she worked . which of t

he following is the constant of proportionality
Mathematics
1 answer:
yulyashka [42]3 years ago
5 0
Answer: 8.25

Explanation: You are looking to find something constant or something that stays the same. Something that does stay the same is how much money she earned each hour. So you would do 453.75/55. And then find k, or the constant of proportionality. Which is $8.25. You’re welcome!
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A school team won 6 games this year against 4 games won last year . What is the percent increase .
Y_Kistochka [10]

Answer:

The increase in the number of wins (or amount of change) =6−4=2

Percentage increase

=

original amount or base

amount of change

×100

=

4

2

×100

=50%

8 0
3 years ago
A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the
forsale [732]
<h3>The probability of  student passing the quiz with  at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly  = (\frac{1}{2})   = p = 0.5

Also, the possibility of answering a question wrong  = (\frac{1}{2})  = q = 0.5

Now, to pass he needs to answer 8 or more (  8 , 9 or 10) answers correctly.

P(answering 8 correct answer)  = ^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2  = 0.0439

P(answering 9 correct answer)  =  ^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1  = 0.0097

P(answering 10 correct answer)  = ^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0  = 0.00097

So, the total Probability   = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz  with  at least 8 of the questions correct is 0.05457.

6 0
4 years ago
Quan uses 19 over 2 cups of flour recipe. after baking, one has 17 over 2 cups of flour left over. Find the number of cups of fl
zmey [24]

Answer: 8.5 cups of flour.

Step-by-step explanation: So he first has 19/2 cups of flour, 19/2 cups of flour is the recipe, which is 9.5 cups of flour. He finishes the recipe with 17/2 cups left, which is 8.5 cups of flour.

4 0
4 years ago
6% sales tax on a pair of jeans selling for $19.99. What is the total cost? Round to the nearest tenth ​
lidiya [134]
To get 1% of $19.99 we can move the decimal place two spots to the left. This leaves us with .2 rounded. Then multiply .2 x 6 because its a 6% sales tax. This gives an answer of $1.2. The sales tax on the pair of jeans is an additional $1.20.
3 0
3 years ago
A number cube that has sides numbered 1 through 6 is rolled 180 times.
eimsori [14]
About 120 times because 4 out of 6 times the dice would be a 2 or higher
4 0
2 years ago
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