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vodka [1.7K]
3 years ago
9

Jessica baked 3p cookies. Alex baked twice as many cookies as Jessica. Sarah baked 10 fewer cookies than Jessica. Find the total

number of cookies baked in terms of p. A. 2p B. 12p – 10 C. 10 – 12p D. 15 p – 10
Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Answer:

B) 12p - 10

Step-by-step explanation:

J = 3p

A = 2(3p) = 6p

S = 3p - 10

add together:

3p + 6p + 3p - 10 = 12p - 10

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How to solve for 40! / 10!30!
nlexa [21]
40! / 30!  = 40*39*38*37*36*35*34*33*32*31

dividing this by 10!   10*9*8*7*6*5*4*3*2*1

 =    4*13*19*37*17*11*4*31

=      847,660,528
     
         
         
3 0
3 years ago
Becca has saved 25% of the money that she needs to buy a new tennis racket. If she has saved $21 jow much money does the tennis
nexus9112 [7]
Let x be the entire portion of the money Becca needs to save to buy a new tennis racket.

So, 0.25x=$21

x=$21/0.25
x=$84

Thus, the total amount she needs to save is $84. Now, we'll deduct 25 from 84 to get the 75 percent or the remaining amount she has to save.

$84-$21=$63

The answer is $63.
6 0
3 years ago
Read 2 more answers
Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will
ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 153, p = 0.62

So

\mu = E(X) = np = 153*0.62 = 94.86

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

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

Z = \frac{97 - 94.86}{6}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

3 0
3 years ago
Name the polygon. Write whether it is regular<br> or not regular.
andrew-mc [135]

Answer:

since the polygon has eight sides, it's an octagon and no, it's not regular since length of all sides of a regular polygon must be equal but in that octagon, not all sides are equal.

8 0
3 years ago
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​
AysviL [449]

Answer:

Step-by-step explanation:

The first choice is correct

The rate is 20 per dog, thus we get the equation:

c= 20d

However the first dog is free, so the equation becomes

c = 20(d - 1)

And he also has a walking fee of 85 dollars and thus the equation becomes

c= 85 + 20(d-1)

5 0
2 years ago
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