The three lengths 3, 10, 7 create a triangle.

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Let's look at the statement.

7y = 14x  and  y = 2x does have infinitely many solutions. Why? Because the first equation can be rearranged to look like the second one. If you divide 7y and 14x by 7, you end up with y = 2x. Look familiar? This means the set of equations has infinitely many solutions.

Answer:

option D: 100,000

Step-by-step explanation:

approximated to 10⁵ to 100,000

Answer:

12

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 so taking the square root of 144 gives you 12

Step-by-step explanation:

In Triangle (the symbolΔ)QRS,

Angle R is congruent to Angle Q,

And side QR=11

And side SQ=8

Find.The length of RS.

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

Answer:

B is the answer

Step-by-step explanation:

The transformation is a reflection across the y axis and you can see that they are congruent because the points are exact mirrored images.

Answer:

A fan within the center of the table blows air through these holes in order to allow the puck to quickly glide across the table surface. This movement of air is the reason why we call the sport "air" hockey vs. just table hockey. There are two holes at opposite ends of the table that make up a goal.

Step-by-step explanation:

Answer:

3 3/16 lbs is the total amount the puppies weigh

Answer:

24

Step-by-step explanation:

Um. I guess you just multiply 6 x 4 and you get 24

Answer:

Step-by-step explanation:

Answer:

Fraction form: 12/5

Decimal form:2.4

Mixed number form:2 2/5

Answer:

Mike Fred Emma Agnes John

Step-by-step explanation:

Mike Fred Emma Agnes John

Create a list of the names in the order they're given and order them through the information provided.

Answer:

85 pounds

Step-by-step explanation:

did the dog not go to the vet in like 2 years??? anyways its 91-6

Answer:

Step-by-step explanation:

Given that:

[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

b

For x = 53 and s = 4.6

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

Point B is 4 units to the right and 2 units down from the origin points.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, point is located at (4, –2)

Since on the option distance given is from Origin points,

Since we know in coordinates Plane.

X = 4 would be at 4 units right of the origin

y = -2 would be at 2 units down of the origin.

Thus point (4, -2) will be 4 units right and 2 units down from the origin.

Learn more about coordinates here:

https://brainly.com/question/20282507

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12 fishes are in the tank

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answer:

Step-by-step explanation:

12angelfish(8fish/3angelfish)=32 fish

Answer:

Its the one on the left I'm pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gas expands when temperature rises and contracts when cooled. So the full balloon was heated and the partially filled ballon was cooled.

Answer:

18.02 units

Step-by-step explanation:

Answer:

a. $2.12

b. $6.45

c. $38.81

Step-by-step explanation:

a.

I'll convert 30.24 and 7% into fractions.

756/25 * 7/100

Cross cancel 756 and 100 (GCF is 4)

189/25 * 7/25

Convert above into a single fraction

(189 * 7)/(25 * 25)

Multiply 189 by 7, then 25 by 25.

1323/625

Divide, then round to the nearest cent

$2.1168 ≈ $2.12 in sales tax

b.

Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.

1613/50 * 1/5

Multiply 50 by 5.

1613/250

Divide, then round to the nearest cent.

$6.452 ≈ $6.45 in tip money

c.

This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.

$30.24 + $2.12 + $6.45

$32.36 + $6.45

You pay a total of $38.81 for lunch.

Answer:

the 1st one

Step-by-step explanation:

thank u and have a nice day and i hope this helped

Answer:

4x-11y

Step-by-step explanation:

How to solve your question

Simplify

(6−3)−2(+4)

(6x-3y)-2(x+4y)

(6x−3y)−2(x+4y)

Distribute

(6−3)−2(+4)

(6−3)−2−8

Eliminate redundant parentheses

(6−3)−2−8

6−3−2−8

Combine like terms

6−3−2−8

4−3−8

Combine like terms

4−3−8

4−11

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   2n + 8

is 42 (literally mean it equals 42):    2n + 8 = 42

Answer:

b. Not binomial: there are more than two outcomes for each trial.

Step-by-step explanation:

Binomial probability distribution:

We need

Fixed number of trials.

Independent trials.

Each trial can be reduced to a yes/no proposition.

Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.

There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.

10x + 30

10(x+3)

10 x X = 10x

10 x 3 = 30

10x + 30

Answer:

The critical value that should be used in constructing the confidence interval is T = 1.337.

The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.337, which is the crical value.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.337\frac{0.069}{\sqrt{17}} = 0.022[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.268 - 0.022 = 0.246 cc/cubic meter

The upper end of the interval is the sample mean added to M. So it is 0.268 + 0.022 = 0.29 cc/cubic meter

The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter

Answer:

the 20 +2

Step-by-step explanation: