1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anzhelika [568]
3 years ago
7

Kate has scored 10 free throws out of 18 tries. She would really like to bring her free throw average up to at least 80%. How ma

ny consecutive free throws should she score in order to bring up her average to 80%?
Mathematics
1 answer:
wlad13 [49]3 years ago
3 0
(10+t)/(18+t)=8/10
8(18+t)=10(10+t)
144+8t=100+10t
44=2t
t = 22 throws
You might be interested in
Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

Step-by-step explanation:

Problems of normally distributed samples are 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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

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

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

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

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

Replacing in the first equation

\mu = 8 + 1.44\sigma

\mu = 8 + 14 - \mu

2\mu = 22

\mu = \frac{22}{2}

\mu = 11

Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

7 0
3 years ago
You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo
taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

  • Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

  1. 1+2+4+8+16+32+64+128+256+489=1000
  2. Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
  3. If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since x-489\leq511, by 2) we know that this would be possible.

4 0
3 years ago
70 points!
astra-53 [7]

y = 4.5x

Explanation:

9 ÷ 2 = 4.5

18 ÷ 4 = 4.5

27 ÷ 6 = 4.5

3 0
3 years ago
Help evaluating the question for 14,16
Olenka [21]
Number 14 is 61 and Number 16 is 36..,.



5 0
3 years ago
Read 2 more answers
Evaluate the following expression. 2^-2<br> Answer needs to be a fraction
Shtirlitz [24]

Answer is.........: 1/4

7 0
3 years ago
Read 2 more answers
Other questions:
  • Let L be the line with parametric equations x=5+t,y=6,z=−2−3t. Find the vector equation for a line that passes through the point
    7·1 answer
  • It takes 6 days to put together a computer game. write an algebra equation to describe the number of days, it takes to create N
    13·1 answer
  • A kitchen is rectangle and measures 3 yards by 5 yards. The laminate tiles that i am looking at measures 1/2 ft by 1 ft. How man
    12·1 answer
  • The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe
    14·1 answer
  • Ben has a collection of quarters and nickels worth $5.35. If the number of nickels is 5 less than twice the number of quarters,
    15·1 answer
  • A bicycle store costs ​$3150 per month to operate. The store pays an average of ​$65 per bike. The average selling price of each
    14·1 answer
  • X=3/5 y=1/3 z=2 4/5 work out z+x*y
    5·2 answers
  • Solve the equation for x: 126 = 3x.<br> A. x = 378<br> B. x = 129<br> C. x = 123<br> D. x = 42
    14·1 answer
  • Find the equation of the linear function represented by the table below In slope intercept form.
    11·1 answer
  • During the first 100 days, the school book store sold a total of 1,344
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!