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3 years ago

5

HELLLP MEEEEEEEEEEE plz

2 answers:

olga nikolaevna [1]3 years ago

8 0

1) The ratio of used books to all books is 6:14

2) The ratio of used books to new books is 6:8

IRINA_888 [86]3 years ago

5 0

Answer: a.) 3 used books : 7 books in all (3:7)
b.) 3 used books : 4 new books (3:4)

Explanation: a.) there are 6 used books and 14 total books. (6:14) simplified that ratio is (3:7)

b.) there are 6 used books and 8 new books. (6:8) simplified that ratio is (3:4)

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Johanna receives a report that says her typing speed is 65 words per minute. She knows that she made 4 errors in the 5-minutes t

oksian1 [2.3K]

How many words did she type in 5 minutes ?

65x5 - 4 = 325 - 4 = 321 words

7 0

3 years ago

Which equation represents the parabola shown on the

EastWind [94]

Answer:

y2=-8x is what's graphed so B.

Step-by-step explanation:

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3 years ago

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In addition to the facts in the diagram which statements is necessary to prove that the two triangles are congruent by the SAS c

atroni [7]

The angles should be included between the equal sides

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3 years ago

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Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using

AlladinOne [14]

Answer:

<u></u>

<u>a) P(X=1) = 0.302526</u>

<u>b) P(X=5) = 0.010206</u>

<u>c) P(X=3) = 0.18522</u>

<u>d) P(X≤3) = 0.92953</u>

<u>e) P(X≥5) = 0.010935</u>

<u>f) P(X≤4) = 0.989065</u>

Explanation:

Binomial experiments are modeled by the formula:

$P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}$

Where

P(X=x) is the probability of exactly x successes

$C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}$

p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.

n is the number of trials

1 - p is the probability of fail

there are only two possible outcomes for each trial: success or fail.

<u>a.) P (x=1)</u>

<u></u>

$P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526$

<u>b.) P (x=5)</u>

$P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206$

<u>c.) P (x=3)</u>

Using the same formula:

$P(X=3)=0.18522$

<u>d.) P (x less than or equal to 3)</u>

P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

P(X=4) = 0.059335
P(X=5) = 0.010206
P(X=6) = 0.000729

P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

<u>e.) P(x greather than or equal to 5)</u>

P(X≥5) = P(X=5) + P(X=6)

P(X≥5) = 0.010206 + 0.000729 = 0.010935

<u>f.) P(x less than or equal 4)</u>

P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)

P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065

5 0

4 years ago

Simplify the expression by factoring, showing the steps in your work.

alexdok [17]

Given:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}$

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

$12 x^{2}+31 x+7$

31x can be written as 3x + 28x.

$=\left(12 x^{2}+3 x\right)+(28 x+7)$

Take 3x common in 1st two terms and 7 common in next two terms.

$=3 x(4 x+1)+7(4 x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4 x+1)(3 x+7)$

In the same way, factorize the denominator:

$16 x^{2}+8 x+1$

8x can be written as 4x + 4x.

$=(16 x^{2}+4 x)+(4x+1)$

Take 4x common in 1st two terms and 1 common in next two terms.

$=4x(4 x+1)+1(4x+1)$

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

$=(4x+1)(4x+1)$

Substitute the terms we found for numerator and denominator:

$$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}$

Cancel the common factors.

$$=\frac{3 x+7}{4 x+1}$

The simplified expression is $\frac{3 x+7}{4 x+1}$ .

3 0

4 years ago