katie baked a cake. Her brother ate 1/4 of the cake, her father ate 1/4 of the cake, and her mother ate 1/4 of the cake. How much of the cake is left?

A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 3/4

Answer:

-3x2-6x-3+14 that is the answer

Step-by-step explanation:

x/-3

The probability that 15 or more students in the sample are left-handed handed is 0.0752

(a) Why L can be a binomial distribution

From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed

This, in other words means that:

For each observation, the student is either left-handed or not left-handed

Hence, the distribution can be represented by a binomial distribution

(b) The probability that 15 or more are left-handed

The sample size is given as:

[tex]\mathbf{n = 100}[/tex]

And the proportion is

[tex]\mathbf{p = 11\%}[/tex]

The mean of the dataset is:

[tex]\mathbf{\mu = np}[/tex]

[tex]\mathbf{\mu = 100 \times 11\%}[/tex]

[tex]\mathbf{\mu = 11}[/tex]

The standard deviation of the dataset is:

[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]

So, we have:

[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]

[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]

[tex]\mathbf{\sigma = 3.13}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x \ge 15)}[/tex]

Using continuity correction, we have:

[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]

Calculate the z-score for x = 15.5

[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]

[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]

[tex]\mathbf{z =1.438}[/tex]

The probability is then calculated as:

[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]

Using z-tables of probabilities, we have:

[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]

Approximate

[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]

Hence, the probability is 0.0752

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Answer:

what is you belling? yesterday y monday

Answer:

[tex]=2x^{5} y^{5} \sqrt{7}[/tex]

Step-by-step explanation:

Answer:180

Step-by-step explanation:

Answer:

6 square units

Step-by-step explanation:

In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.

I got 3 unites for the height and 4 units for the base

4 x 3 = 12 square units

however the formula for a triangle is Ab/2

so divide 12/2 = 6

So its 6 square units

Answer:

the answer to your question is 3 and 34

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

Answer:

The segment bisector of FG is HI because it splits it into two equal parts. Since point F to the bisector equals 33 and the bisector to point G is the same, that would also be 33. 33+33=66=FG

Step-by-step explanation:

The measurement of the line segment FG is 66 units.

We need to identify the segment bisector of FG and then find FG.

A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the centre dividing the line into two equal parts. The word segment can also be referred to as line segment which means a segment is a part of the line that has fixed endpoints. The word bisect means cutting any object or line into two equal halves. Hence, a segment bisector is referred to as when two line segments bisect or cut each other at a point dividing the lines into equal halves.

From the given figure, HI is the bisector of the line segment FG.

Given that, 1/2 (FG)=33 units

⇒FG=66 units

Therefore, the measurement of the line segment FG is 66 units.

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Answer:

Step-by-step874747634734634347

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point G divide the line segment FH in 8:2. Using section formula, we get

[tex]G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)[/tex]

[tex]G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)[/tex]

[tex]G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)[/tex]

[tex]G=\left(4.8,4.4\right)[/tex]

Therefore, the coordinates of point G are (4.8, 4.4).

Answer:

10 lunches

Step-by-step explanation:

$47-$7=$40

40/4=10

Hello, 928747!

So we are trying to find how many boxed lunches Janie ordered.

Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00

So to find this, we will first subtract the delivery fee because that does not count towards the lunches.

47 - 7 = 40

So the boxed lunches cost $40.00

To find how many Janie ordered, we will divide 4 by 40

40 ÷ 4 = 10

So Janie bought 10 boxed lunches.

The equation would be (47 - 7) ÷ 4

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Answer:

see attached

Step-by-step explanation:

pleass see attached

Answer:

Please check the explanation.

Step-by-step explanation:

Given

[tex]P(Z > 1.96)[/tex]

To determine

What probability expression is equivalent to [tex]P(Z > 1.96)[/tex].

Suppose Z is a standard normal variable.

Therefore,

P(Z > 1.96) = 1 - P(Z ≤ 1.96)

solving

                 = 1 - Ф(1.96)

                 [tex]= 1 - 0.9750[/tex]

                 [tex]= 0.0250[/tex]

Answer: x=12

Step-by-step explanation: 10(x−3)=90

(10)(x)+(10)(−3)=90 (Distribute)

10x+−30=90

10x−30=90

Step 2: Add 30 to both sides.

10x−30+30=90+30

10x=120

Step 3: Divide both sides by 10.

x=12

Answer:

15.59.

Step-by-step explanation:

The altitude of equilateral triangle bisects the base

So 1/2 base = 3.

Altitude of the triangle is found from Pythagoras theorem:

= sqrt(6^2 - 3^2)

= sqrt27

Area = 1/2 base * altitude

=  3 * sqrt27

= 15.59

Answer:

57

Step-by-step explanation:

a pec

Option A is correct, the value of y is 57 degrees in the triangle.

We have to find the value of y in the given triangle.

Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.

We know the straight line has an angle of 180 degrees

114+x=180

x=66 degrees.

By angle sum property the sum of three angles is 180 degrees.

66+y+y=180

66+2y=180

Subtract 66 from both sides:

2y=180-66

2y=114

Divide both sides by 2:

y=57 degrees

Hence, the value of y is 57 degrees in the triangle.

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Answer:

A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

Answer:

Rhombus

Step-by-step explanation:

Answer:

wheres the end of the question

Step-by-step explanation:

Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.

Answer:

I dont know

Step-by-step explanation:

sorrryy

Answer:

Step-by-step explanation:

[tex]step - 1 : define[/tex]

[tex]2x - 9 = x + 5[/tex]

[tex]2x = x + 5+ 9[/tex]

[tex]2x = x + 14[/tex]

[tex]2x - x = 14[/tex]

[tex]x = 14[/tex]

KL=2x-9

=2.14-9

=28-9

=19

Answer:

30

Step-by-step explanation:

- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0

- A number is divisible by 3 if ist sum of digits is divisible by 3.

- A number is divisible by 5 if its last digit is a 5 or a 0.

_

The least 3 digit number divisible by 30 is 120 and the greatest is 990.

Answer: 30

Step-by-step explanation:

Divisible by 2,3 and 5 means divisible by 2*3*5=30

So we require to calculate number of multiples of 30 in the range 100 to 999.

The least 3 digit number divisible by 30 is 120 and greatest is 990.

This is an AP series with common difference 30.

First number is 120 and n'th number is 990.

We need to find n.

Using the AP series formula

120 + (n-1)*30= 990

or n= 30

There are 30 3-digit numbers divisible by 2,3 and 5.

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps