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3 years ago

15

Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Compare the tables. Which correctly shows the

amount Jasmine earns baby-sitting for different numbers of hours?

2 answers:

Ymorist [56]3 years ago

5 0

The answer would be A. She charges $9 an hour.

Lena [83]3 years ago

4 0

Answer:

A

Step-by-step explanation:

Constant rate

4 hours: $36

2 hours : $18

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Type the missing number in this sequence:<br><br> 10, 13, 17, ____, 28, 35, 43

vredina [299]

22

Explanation: 10+3=13 13+4=17 17+5=22

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3 years ago

An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles.

Firlakuza [10]

Answer:

10.4 miles

Step-by-step explanation:

Let the horizontal distance is x

<u>Use tangent to solve this:</u>

tan 30° = 6/x
x = 6 / tan 30°
x = 10.4 mi (rounded)

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Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?

frutty [35]

The Greek mathematician who wrote the most definitive text on geometry, one that is still referred to today is Euclid. Euclid of Alexandria is also called "Father of Geometry". He was a great Greek mathematician. Euclidean geometry is still widely taught in schools and colleges. I hope the answer comes to your help.

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3 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

X²- 6x = 7 FInd the soultion to the equation by completing the square

atroni [7]

Answer:

x = - 1, x = 7

Step-by-step explanation:

Given

x² - 6x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3) x + 9 = 7 + 9

(x - 3)² = 16 ( take the square root of both sides )

x - 3 = ± $\sqrt{16}$ = ± 4

Add 3 to both sides

x = 3 ± 4, that is

x = 3 + 4 = 7 or x = 3 - 4 = - 1

6 0

3 years ago

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