In a class of 25 students, 8 students have heights less than 65 inches and 10 students have heights of 69 inches or more. Find the probabilities described.

1. P(less than or equal to 65 inches and greater than or equal to 69 inches).
2. P(Greater than or equal to 65 inches.)
3. P(greater than or equal to 65 inches and less than or equal to 69 inches.)

Answers

Answer 1

Answer:

It should be 1.

Step-by-step explanation:

It stating that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

Answer 2

The probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

We have given that,

In a class of 25 students, 8 students have heights less than 65 inches and 10 students have heights of 69 inches or more.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

It states that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

Therefore the probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

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Related Questions

You start driving north for 3 miles, turn right, and drive east for another 4 miles. At
the end of driving, what is your straight line distance from your starting point?

Answers

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

NEED ANSWER ASAP NOW PRONTO NOWWWWWWWWWWWWW

The following box plot shows the number of books sold each day at a store for 60 days. How many days did the bookstore sell 2 to 12 books?


10
15
30
45

Answers

Answer:

45

Step-by-step explanation:

alice took out 80/20 mortgage on a $232,000 home. what is the amount financed under the first mortgage?

Answers

Answer:

The amount financed under this mortgage is $185,600

Step-by-step explanation:

Alice took out an 80/20 mortgage on a $232,000 home.

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $232,000

Now, we need to find finance amount from this hone value of $232,000

Let's calculate the 80% of $232,000 as finance amount;

Finance amount = 80% of 232000

 Finance amount  = 0.80 x 232000

Finance amount = 185,600

Hence, The amount financed under this mortgage is $185,600

Helllppppppppp pleaseeeeeee​

Answers

the answer is 17


Explanation
XZ is the hypotenuse of the right angled triangle
so
XZ² = YZ² + YX²
XZ² = 15² + 8²
XZ² = 289
XZ = √289 = 17

Answer:

17 cm

Step-by-step explanation:

Because if you use the Pythagorean threom a^2 + b^2 = c^2. 8 squared is 64 and 15 squared is 225 add those and you get 289, and 17 squared is 289.

I don’t know which one is write and stuck between C and D ?

Answers

Answer:

maybe D

Step-by-step explanation:

I'm thinking D because if do

[tex] - 6 - 4 = - 10[/tex]

but also it doesn't make 16 when you do

[tex]4 \times 6 = 24[/tex]

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
31 units
39 units
41 units
49 units

Answers

Answer:

41 Units

Step-by-step explanation:

You have to use Pitagora.

Diagonal (d) = √9²+40² = √1681 = 41

The length of a diagonal is 41 units.

Length of a diagonal

Using Pythagorean theorem formula

Diagonal (d) =√width²+length²

Let plug in the formula

Diagonal (d)=9²+40²

Diagonal (d) =81+1600

Diagonal (d)=√1681

Diagonal (d) =41 units

Inconclusion the length of a diagonal is 41 units.

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What is the difference
between:
1X + 3) = 10 & 1X1 + 3 = 10

Answers

Step-by-step explanation:

The difference is 1 times +3 is like 1×3=3

Unlike 1 times 1 + 3 =1×1+3=4

Answer:

Step-by-step explanation:

1x +3 is like 1×3=3

1 x 1 + 3  is basically 1×1+3=4

Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? (2 points)

Group of answer choices

4x2 + 216x + 2,592 = 0

4x2 + 216x − 684 = 0

2x2 + 216x − 3,276 = 0

x2 + 108x + 3,276 = 0

Answers

Answer:

4x2+216x-684x

Step-by-step explanation:

solnA) The dimensions of the table are in inches

Let

x=the thickness of the border

we know that the table and the border must have an area of 3,276 square feet

convert the dimensions of the table to feet

remember that; 1ft =12in

36in=3ft

72in=6ft

i.e; 3,276 = (6+12x)*(3+2x)

solve for x

3276=6×3+ 6×2x +2x×3+ 4x²

3276=18+12x+6x+4x²

4x²+18x+18-3276=0

4x²+18x-3258

solnB) The dimensions of the table are in feet

Let

x=the thickness of the border

we know that the table and the border must have an area of 3,276 square feet

i.e 3,276 = ()×()

solve for x

3,276 = 72×36 + 72×2x + 2x×36 + 4x²

3,276 = 2,592 + 144x + 72x + 4x²

4x² + 216x + 2,592 + 3276 = 0

4x²+216× - 684= 0

therefore; the quadratic equation can be used to determine the thickness of the border =

4x² + 216x - 684 = 0

The diameter of a circle measures 28 m. What is the circumference of the circle?
Use 3.14 for y, and do not round your answer. Be sure to include the correct unit in your answer.
28 m
EX

Answers

Answer:

87.92 m

Step-by-step explanation:

The formula to calculate the circumference of the circle is:

Diameter * Pi  ---->  28 * 3,14

Final answer:

The circumference of a circle with a 28 meter diameter is calculated using the formula C = \\(pi) \\times d, resulting in 87.92 meters as the circumference.

Explanation:

The question requires us to find the circumference of a circle given its diameter, which measures 28 meters. To calculate the circumference, we use the formula C = \\(pi) \\times d, where \\(pi) is approximately 3.14 and d is the diameter of the circle. Since the diameter is 28 meters, the circumference is calculated as follows:

C = 3.14 times 28 m = 87.92 m.

Therefore, the circumference of the circle is 87.92 meters.

What best describes the Debt Snowball method for paying off debt

Answers

Answer:

The debt snowball method is a debt reduction strategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance. When the smallest debt is paid in full, you roll the money you were paying on that debt into the next smallest balance.

Step-by-step explanation:

Answer:

a debt reduction str

ategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance.

Step-by-step explanation:

3x^2 and 6x^2 greatest common factor

Answers

It the sender is 38 ove 7
Two because they all can divide in two

Which statements are true? Check all that apply.
1 A is in Quadrant I.
2 B is on the x-axis.
3 C is in Quadrant I.
4 D is in Quadrant III.
5 E is on the x-axis.
6 F is on the x-axis.
7 G is on the y-axis.

Answers

Answer:

1,4,6

Step-by-step explanation:

Which statement is true

Answers

Answer:

A

Step-by-step explanation:

I believe a is true but I'm not a hundred percent sure

Answer:

Answer A

Step-by-step explanation:

13/14 goes to 26/28, which is greater than 25/28.

find the length of the hypotenuse round your answer to the nearest hundred

Answers

A. 7+4=11. That’s the answer to the hypotenuse.

Nora has $50 saved and gets $12 a week in allowance. Write a function to show the total amount of money she will have saved after n weeks.

Answers

Answer:

After 'n' weeks?

Step-by-step explanation:

Make sure your question makes sense.

What is the surface area of the figure?



Composite figure composed of a two rectangular prisms right aligned and stacked on each other. The larger rectangular prism has width of 10 feet, length of 4 feet, and height of 5 feet. The smaller rectangular prism has width of 5 feet, length of 4 feet, and height of 5 feet.



360 cm2


180 cm2


155 cm2


310 cm2

Answers

Answer:

I got 300, though it's not in the answer choices

Step-by-step explanation:

Separate them into two separate rectangles

5×10×4= 200cm

5×5×4= 100cm

=300cm^2

Solve for x and y:
x+y=5 x−y=a
PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!

Answers

Answer:

x=[tex]\frac{a+5}{2}[/tex]  y=5-[tex]\frac{a+5}{2}[/tex]  

Step-by-step explanation:

x+y=5

y=5-x

x-y=a

x-(5-x)=a

2x-5=a

2x=a+5

x=[tex]\frac{a+5}{2}[/tex]  

x+y=5

[tex]\frac{a+5}{2}[/tex]  +y=5

y=5-[tex]\frac{a+5}{2}[/tex]  

Answer:

x=5/2 + a/2,  y= 5/2 - a/2

Step-by-step explanation:

We can solve this system using addition of the equations

x+y=5

x-y=a

2x  =(5+a)

x=(5+a)/2= 5/2 +a/2

x=5/2 +a/2

x-y=a

y = x - a , x=5/2 + a/2

y= 5/2 + a/2-a

y= 5/2 - a/2

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Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)

15, 13, 11, 9

Answers

Answer:

15,13,11,9,…

Given

2

13 - 15 = -2

11 - 13 = -2

9 - 11 = -2

d = -2

3

4

when n = 515,13,11,9,…

Given

2

13 - 15 = -2

11 - 13 = -2

9 - 11 = -2

d = -2

3

4

when n = 515,13,11,9,…

Given

2

13 - 15 = -2

11 - 13 = -2

9 - 11 = -2

d = -2

3

4

when n = 5

A kite is flying at an angle of elevation of
about 55°. Ignoring the sag in the string,
find the height of the kite if 60 m of string
has been let out.
* help please *

Answers

Answer:

49.15 m

Step-by-step explanation:

Length of the string is the hupotenuse: 60

Height of the kite is the opposite: X

sin(55) = opposite/hypotenuse

sin(55) = X/60

X = 60sin(55)

X = 49.14912266 m

The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is the probability that a ship coming ashore at a random point in the Gulf of Mexico lands in the given state? Round your answers to the nearest whole percent.

Answers

Answer:

TX- 23%

AL- 3%

FL- 47%

LA- 24%

MS- 3%

Step-by-step explanation:

Final answer:

To find the probability of a ship coming ashore in a given state, divide the length of its shoreline by the total length of the Gulf of Mexico's shoreline.

Explanation:

To find the probability of a ship coming ashore at a random point in the Gulf of Mexico landing in a given state, we need to divide the length of the shoreline of that state by the total length of the Gulf of Mexico's shoreline. Let's assume there are 4 states that border the Gulf of Mexico: State A with 100 miles of shoreline, State B with 150 miles, State C with 200 miles, and State D with 250 miles. The total shoreline length of the Gulf of Mexico would be 700 miles (100 + 150 + 200 + 250).

Now, we can find the probability for each state by dividing its shoreline length by the total shoreline length. For example, for State A, the probability would be 100/700 which is approximately 0.1429 or 14.29%.

Following the same calculation, the probability for State B is 150/700 which is approximately 0.2143 or 21.43%, the probability for State C is 200/700 which is approximately  0.2857 or 28.57%, and the probability for State D is 250/700 which is approximately 0.3571 or 35.71%.

Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A X <-9
B. x > 3
O c. xx-3
D. X>7

Answers

Answer: Choice B.  x > 3

Work Shown:

5(3-x) < -2x+6

15-5x < -2x+6 .... distribute

15-5x+5x < -2x+6+5x ... adding 5x to both sides

15 < 3x+6

15-6 < 3x+6-6 ... subtracting 6 from both sides

9 < 3x

3x > 9 ... flip both sides of inequality, flip the inequality sign

3x/3 > 9/3 ... dividing both sides by 3

x > 3

Notice that when going from 3x > 9 to x > 3, the inequality sign does not flip. The sign only flips if you divided both sides by a negative number.

I need help with this

Answers

Answer:

(b +4)(b +9)(c -5)(c +9)(k +2)(k +3)

Step-by-step explanation:

Consider the product ...

  (x +a)(x +b) = x^2 +(a+b)x +ab

You will notice that the linear term (a+b)x has a coefficient (a+b) that is the sum of the factors of the constant term (ab).

For problems like this, it is useful to be able to factor the constant term, so you can choose the factors with the appropriate sum.

Signs are important. If the constant is positive, its factors will have the same sign, both positive or both negative. If the constant is negative, its factors will have opposite signs.

__

1. b^2 +13b +36

Factors of 36 are ...

  36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6

The sums of these are 37, 20, 15, 13, and 12. So, the factor pair we're looking for is 4 and 9. The factorization is ...

  = (b +4)(b +9)

__

2. c^2 +4c -45

The middle term is positive, so the larger magnitude factor will be positive. Factors of -45 are ...

  -45 = -1·45 = -3·15 = -5·9

Sums of these factors are 44, 12, 4. So, the factor pair we're looking for is -5 and 9. The factorization is ...

  = (c -5)(c +9)

__

3. k^2 +5k +6

  6 = 1·6 = 2·3 . . . . sums are 7 and 5  ⇒  factors of interest are 2 and 3

  = (k +2)(k +3)

The coordinate (0,0) is a point on the graph y = 2x.
True
False

Answers

yes because it’s linear
True because it does equal y=2x

which glass will get filled first. be very observant to all the paths and think about what would really happen.

Answers

Answer:

Number 7

Step-by-step explanation:

That's the one that is at the bottom and the corresponding tubes lead to the one being the first to be filled

(08.01 MC)
A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of
following statements true about the sample?
It is not a valid sample because it is only a short study,
It is a valid sample because money is offered to participants.
It is a valid sample because the first 10 people were selected to participate.
It is not a valid sample because it is not a random sample of the population

Answers

Answer:

The correct answer is the last on that’s states: it is not a valid sample because it is not a random sample of the population.

Step-by-step explanation:

When a researcher wants to know about the same thing, he/she has to take a sample from the population.

Example, consider a researcher wants to know how many hours the students study at home in a week, so the researcher has to take the sample from the student population.

Here, he/she gives the advertisement and offers $10 for 10 people. Therefore for anyone can come they might not required for a particular study.

Therefore, the answer is the last one.

Answer:

d

Step-by-step explanation:

Select the graph that represents h=-16t^2+80

Answers

Answer: your graph should look like the picture down below!!

Step-by-step explanation:

Vetex: (0,80)

Focus: (0, 5119/64)

Axis of symmetry: x=0

The graph for the given exponential function is shown in the figure.

What is a exponential function?

An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent. It is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

For the given situation,

The exponential function is h = -16t^2+80.

Plot this exponential function in the graph.

We can obtain the graph shown below.

From the graph, the vertex is (0,80)

Hence we can conclude that the graph for the given exponential function is shown in the figure.

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What’s the answers????!!!!

Answers

Answer:

[tex] f(0) = 1 [/tex]

Step-by-step explanation:

The initial value is the value when x = 0.

[tex] f(x) = 4^x [/tex]

For x = 0,

[tex] f(0) = 4^0 [/tex]

[tex] f(0) = 1 [/tex]

Use the Venn diagram to calculate conditional probabilities.



Circles D, E, and F overlap. Circle D contains 13, circle E contains 4, and circle F contains F. The overlap of D and E contains 6, the overlap of E and F contains 7, and the overlap of F and D contains 5. The overlap of all 3 circles contains 5. Number 3 is outside of the circles.

Which conditional probabilities are correct? Check all that apply.

P(D | F) = StartFraction 6 Over 34 EndFraction
P(E | D) = StartFraction 7 Over 25 EndFraction
P(D | E) = StartFraction 7 Over 25 EndFraction
P(F | E) = StartFraction 8 Over 18 EndFraction
P(E | F) = StartFraction 13 Over 21 EndFraction

Answers

Answer:

E2020 A, B, D

Step-by-step explanation:

The probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the Venn diagram the data is shown.

P(D | F) = The probability of event D that depends on the event F.

P(D|F) = 6/34

Similarly:

P(E|D) = 7/25

P(F|E) = 8/18

Thus, the probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.

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An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function.

Answers

Answer:

c=25p

Step-by-step explanation:

c= total cost

p=number of people

total cost is the numer of people times 25 dollars each

The area of a rectangle is 344 square inches. If the rectangle is 16 inches wide, find the perimeter of the rectangle.

A. 67 inches
B. 72 inches
C. 75 inches
D. 80 inches

Answers

Answer:

C. 75 inches

Step-by-step explanation:

well if it's a rectangle then we would do A = L x W we are told the Width and the Area

344 = L x 16

344 / 16 = 21.5

P = L + L + W + W

16 + 16 + 21.5 + 21.5

16 + 16 = 32

21.5 + 21.5 = 43

32 + 43 = 75

the perimeter is 75 inches

Final answer:

To find the perimeter of the rectangle, we calculate the length by dividing the area by the width and then apply the perimeter formula. We find that the length is 21.5 inches and the perimeter is 75 inches.

Explanation:

To find the perimeter of the rectangle when the area is 344 square inches and the width is 16 inches, we need to use the area formula of a rectangle, which is Area = length × width. Since we have the area and the width, we can calculate the length:

Divide the area by the width to find the length: Length = 344 sq in / 16 in = 21.5 in.

Now, use the perimeter formula: Perimeter = 2 × (length + width).

Substitute the length and width into the formula: Perimeter = 2 × (21.5 in + 16 in) = 2 × 37.5 in = 75 inches.

The correct answer is C. 75 inches.

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