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2 years ago

6

Find an explicit rule for the nth term of the arithmetic sequence. -13, -7, -1, 5, ...

1 answer:

Bad White [126]2 years ago

8 0

Answer:

-13 + 5*n-1 I think

Step-by-step explanation:

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Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 66 minutes for his or her performanc

antoniya [11.8K]

The talent show consists of introduction and talent performance. It could be written into this equation
Talent show duration= introduction + talent performance

Each performer for the talent show has 6 minutes for their show, the <span>introduction of the talent show is 24 minutes, and the total duration should be 150 minutes. Then, maximum performance count of the show would be:
</span>
Talent show duration= introduction + talent performance
<span>150 min = 24 min + (performance count * 6min)
</span>performance count = (150min - 24min) / 6 min
performance count=21

7 0

3 years ago

In a bag there are 4 purple marbles, 3 green marbles, 10 yellow marbles. If a student draws one marble what is the sample space?

Tema [17]

Purple, Green, Yellow.

3 0

3 years ago

Read 2 more answers

A common blood test performed on pregnant women to screen for chromosome abnormalities in the fetus measures the human chorionic

goldfiish [28.3K]

Answer:

(a) The proportion of women who are tested, get a negative test result is 0.82.

(b) The proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

Step-by-step explanation:

The Bayes' theorem states that the conditional probability of an event <em>E</em> $_{i}$ , of the sample space <em>S,</em> given that another event <em>A</em> has already occurred is:

$P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum\liits^{n}_{i=1}{P(A|E_{i})P(E_{i})}}$

The law of total probability states that, if events <em>E</em>₁, <em>E</em>₂, <em>E</em>₃... are parts of a sample space then for any event <em>A</em>,

$P(A)=\sum\limits^{n}_{i=1}{P(A|B_{i})P(B_{i})}$

Denote the events as follows:

<em>X</em> = fetus have a chromosome abnormality.

<em>Y</em> = the test is positive

The information provided is:

$P(X)=0.04\\P(Y|X)=0.90\\P(Y^{c}|X^{c})=0.85$

Using the above the probabilities compute the remaining values as follows:

$P(X^{c})=1-P(X)=1-0.04=0.96$

$P(Y^{c}|X)=1-P(Y|X)=1-0.90=0.10$

$P(Y|X^{c})=1-P(Y^{c}|X^{c})=1-0.85=0.15$

(a)

Compute the probability of women who are tested negative as follows:

Use the law of total probability:

$P(Y^{c})=P(Y^{c}|X)P(X)+P(Y^{c}|X^{c})P(X^{c})$

$=(0.10\times 0.04)+(0.85\times 0.96)\\=0.004+0.816\\=0.82$

Thus, the proportion of women who are tested, get a negative test result is 0.82.

(b)

Compute the value of P (X|Y) as follows:

Use the Bayes' theorem:

$P(X|Y)=\frac{P(Y|X)P(X)}{P(Y|X)P(X)+P(Y|X^{c})P(X^{c})}$

$=\frac{(0.90\times 0.04)}{(0.90\times 0.04)+(0.15\times 0.96)}$

$=0.20$

Thus, the proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

6 0

3 years ago

9. A pet store has 45 mice. The number of mice is 22 more than the number of cats. Which equation can be solved to find the numb

madam [21]

Answer

C. c+22=45

Working

6 0

3 years ago

Please help as soon as possible PLEASE

pashok25 [27]

Area of the entire rectangle $=x^2+10x+24$

Solution:

Area of the blue box = length × width

$=x\times x$

Area of the blue box $=x^2$

Area of the pink box = length × width

$=4\times x$

Area of the pink box $=4x$

Area of the green box = length × width

$=6\times x$

Area of the green box $=6x$

Area of the orange box = length × width

$=6\times 4$

Area of the orange box = 24

Total area of the rectangle $=x^2+4x+6x+24$

$=x^2+10x+24$

Area of the entire rectangle $=x^2+10x+24$

4 0

3 years ago