List 5 rational number between -1 and 0

Answer 6

Step-by-step explanation:

= -6 - (-10 + (-2))

= -6 - (-12).

= -6 + 12

= 6

Answer:

\(h=\frac{2A}{b}\)

Step-by-step explanation:

In this problem, we will rearrange the equation to isolate \(h\).

We start with the given equation:

\(A=\frac{1}{2} bh\)

I will work the \(\frac{1}{2}\) and the \(b\) out of the right side so that \(h\) is left by itself.

First I multiply both sides by 2 to get rid of the \(\frac{1}{2}\) :

\((2)A = (2)\frac{1}{2} bh\)

2 is the same as \(\frac{2}{1}\), so its numerator and denominator cancel the \(\frac{1}{2}\) .

Simplifying, we now have:

\(2A=bh\)

Now we can divide both sides by \(b\):

\(\frac{2A}{b} =\frac{bh}{b}\)

We can cancel the \(b\) in the fraction on the right side, and we're left with:

\(\frac{2A}{b} =h\)

which is the same as:

\(h=\frac{2A}{b}\)

Hope this helps! Let me know if you have any questions.

The probability that y takes a value less than 1/3 is approximately 0.11.

We are given that the cumulative distribution function (cdf) of the random variable y is defined as:

F(x) = { 0, x ≤ 0

\(x^2,\) 0 < x < 1

1, x ≥ 1

We want to find the probability that the random variable y takes a value less than 1/3, i.e., P(y < 1/3).

Since F(x) is the cdf of y, we have:

P(y < 1/3) = P(y ≤ 1/3) = F(1/3)

To find F(1/3), we need to consider two cases:

Case 1: 0 ≤ 1/3 < 1

In this case, we have:

F(1/3) = (1/3\()^2\) = 1/9

Case 2: 1/3 ≥ 1

In this case, we have:

F(1/3) = 1

Therefore, the probability that y takes a value less than 1/3 is:

P(y < 1/3) = F(1/3) = 1/9

Rounding off to the second decimal place, we get:

P(y < 1/3) ≈ 0.11

Therefore, the probability that y takes a value less than 1/3 is approximately 0.11.

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Full Question

Let y be a random variable with cdf F(x) = { 0, x 0 Find P(x < 1/3) (round off to second decimal place).

Answer:

4 3/28

Step-by-step explanation:

Hope this helps!

Answer:

\(4 \frac{3}{28}\)

Step-by-step explanation:

First, let's turn these mixed fractions to regular fractions to make multiplying easier:

3 2/7 = 2/7 + 21/7 = 23/7

1 1/4 = 1/4 + 4/4 = 5/4

Then multiply:

\(\frac{23}{7}*\frac{5}{4} = \frac{( 23 * 5 ) }{(7*4)} =\frac{115}{28}\)

This fraction cannot be simplified, so let's turn it into a mixed fractions:

\(\frac{115}{28} =4\frac{3}{28}\)

Answer:

y = 33 / 15 = 11 /5

Step-by-step explanation:

subtract 3 from both sides,

15y = 33

divide 15 from both sides

y = 33/15

simplify ( divide top and bottom by 3)

y = 11/5

To determine the probability of an event where both dice are odd, let's first list all the possible odd numbers on a die: {1, 3, 5}.

Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.

Now, let's find all the combinations of two dice showing odd numbers:

1. (1, 1) 2. (1, 3) 3. (1, 5) 4. (3, 1) 5. (3, 3) 6. (3, 5) 7. (5, 1) 8. (5, 3) 9. (5, 5)

There are a total of 9 combinations where both dice show odd numbers.

So, the size of the set that corresponds to the event that both dice are odd is 9.

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Answer:

Step-by-step explanation:

12 root 6 is the answer because the 3 root 8 can be simplified to 6 root 2, so you when you multiply 2 root 3 with 3 root 8, you get 12 root 6.

Answer:

\(12\sqrt{6}\)

Step-by-step explanation:

Given expression:

\(2 \sqrt{3} \cdot 3 \sqrt{8}\)

Multiply the numbers 2 and 3:

\(\implies 6\sqrt{3}\sqrt{8}\)

\(\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:\)

\(\implies 6\sqrt{3 \cdot 8}\)

Simplify:

\(\implies 6\sqrt{24}\)

Rewrite 24 as 4 · 6:

\(\implies 6\sqrt{4 \cdot 6}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies 6\sqrt{4}\sqrt{6}\)

Rewrite 4 as 2²:

\(\implies 6\sqrt{2^2}\sqrt{6}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies 6 \cdot 2 \sqrt{6}\)

Multiply the numbers 6 and 2:

\(\implies 12 \sqrt{6}\)

Step-by-step explanation:

the solution of a system of 2 equations (lines or other forms of functions) is the set of all intersection points.

that is where the equations are equal, share the same "behavior".

for 2 lines it is only possible to have

in our case here we see that most points are different.

so, the lines are not identical.

and there is one point they have in common : (0, 2).

that is the solution, the one intersection point.

since they have a point in common, they cannot be parallel.

Answer:

it is A,B,C,E

Step-by-step explanation:

if thease our wrong then i am sorry i took the quiz 3 weeks ago and cannot quite remember what choices they were but i am pretty sure it was those if not then leave it to my brain to not remember

The simplest form of the function is f(x) = x2. The graph is a parabola often called the basic parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

here, we have,

Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve.

Solve f{x}=x-2?

f(x)=x-2    x∈R

x≤0

x-2≤2

Range of f(x)=[∞,2)

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complete question:

9. Which of the following statements are true? Check the boxes of the true statements.

and, attached below.

Answer:

1ab

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

1ab or just ab

Step-by-step explanation:

All 3 parts of the equation have the variables ab at the end, meaning that the solution will also end with ab.

Let's first solve by doing the first property, subtraction:

3ab-9ab=-6ab

Now, we add that sum to 7ab:
-6ab+7ab=1ab

Depending on what they ask, you can either write 1ab or ab, they are the exact same thing.

Answer:

5/7 is the correct answer I think

Step-by-step explanation:

........

Answer:

The most important characteristic of a correlation coefficient is the absolute value.

The absolute value of a correlation coefficient represents the strength of the relationship between two variables, regardless of the direction of the relationship. A correlation coefficient can range from -1 to +1, where a value of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases), a value of +1 indicates a perfect positive correlation (i.e., as one variable increases, the other also increases), and a value of 0 indicates no correlation (i.e., there is no relationship between the variables).

The most important characteristic of a correlation coefficient is the absolute value.

The absolute value of the correlation coefficient represents the strength of the relationship between two variables, regardless of its direction. It indicates the degree to which the variables are associated with each other.

By focusing on the absolute value, we can assess the magnitude of the correlation without being influenced by whether it is positive or negative. For example, a correlation coefficient of -0.8 or +0.8 both indicate a strong relationship, while a correlation coefficient of 0 suggests no relationship.

The number of variables included is not a characteristic of the correlation coefficient itself, but rather a consideration in the analysis. One-tailed and two-tailed refer to the type of hypothesis being tested and are relevant in statistical testing. However, the absolute value of the correlation coefficient is crucial in determining the strength of the relationship between variables, making it the most important characteristic to assess in correlation analysis.

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1085 different combination of 3 movie she can rent.

What is linear equations?

Linear equations is a type of equation that is in between two variables that gives a straight line.

The calculation of  number of different combinations of 3 films she can rent if she needs at least two documentaries is shown below:-

=N×(2× documentry and 1 horror movies)+N×(3 documentry)

=(6C1)×(15C2)+(6Co)×(15C3)

= 630 + 455

= 1,085

Therefore for calculating the number of different combinations of 3 films she can rent if she needs at least two documentaries we simply applied the above formula and here we consider one number in the question as it shows the double number.

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There are 6 different ways to select a cone if it matters which flavor is on top, which is in the middle and which is on the bottom by permutation.

Permutation is the arrangement of objects when the order of arrangement matters.

Here the arrangement is done in 3! ways.

The formula used is

nPr= n!/(n-r)!

Here n=3, r=3

Therefore 3P3= 3!/ (3-3)!= 3!/ 0! =3!= 6 ways( since 0!=1 )

Alternatively,

When selecting a cone, there are six distinct possibilities if it matters which flavor is on top, which is in the middle, and which is on the bottom.

There are three options for the flavor that will be on top, followed by two options for the middle flavor, and then the remaining flavor for the bottom cone.

This gives you 3*2*1=6 possible cone arrangements.

Suppose we have three flavors: vanilla, chocolate, and strawberry.

If it is important which flavor is on top, which is in the middle, and which is on the bottom, there are only six distinct options that can be chosen for the cone. The six choices are:

v a n i l l a, c h o c o l a t e, s t r a w b e r r y

v a n i l l a, s t r a w b e r r y, c h o c o l a t e

s t r a w b e r r y, c h o c o l a t e, v a n i l l a

s t r a w b e r r y, v a n i l l a, c h o c o l a t e

v a n i l l a, c h o c o l a t e, s t r a w b e r r y

c h o c o l a t e, s t r a w b e r r y, vanilla

Therefore, there are 6 different ways to select a cone if it matters which flavor is on top, which is in the middle and which is on the bottom.

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Answer:

just an explanation so all in steps

Step-by-step explanation:

The standard deduction amount for taxpayers over 65 years old in 2016 varied depending on their filing status. Here are the standard deduction amounts for 2016:

For Single filers (and Married Filing Separately):

Under 65 years old: $6,300

Over 65 years old: $7,850

For Married Filing Jointly:

Both spouses under 65 years old: $12,600

One spouse over 65 years old: $13,850

Both spouses over 65 years old: $15,100

For Head of Household:

Under 65 years old: $9,300

Over 65 years old: $10,850

These figures are for the standard deduction only and do not include any additional deductions or credits that may apply. It's important to note that tax laws may change, so it's always recommended to consult the official IRS resources or a tax professional for the most up-to-date and accurate information.

The area of the parallelogram is given as follows:

421 and 7/8 ft².

The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:

A = bh.

The parameters for this problem are given as follows:

Hence the area is given as follows:

A = 45/2 x 75/4

A = 3375/8 ft².

A = 421 and 7/8 ft².

(3375 divided by 8 has a quotient of 7 and a remainder of 8, which is the reason for the mixed number notation).

Hence the second option is the correct option.

The parallelogram is given by the image presented at the end of the answer.

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Answer:

1.75% and 16 times

Step-by-step explanation:

Compound interest formula:

\(\sf A=P(1+\frac{r}{n})^{nt}\)

where:

Given:

Substituting given values into the formula:

\(\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}\)

          \(\sf =791.9576107...\)

Equivalent interest rate:

\(\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%\)

Number of times compounded:

\(\sf \implies nt=4 \times 4=16\)

The 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

To find the 98% confidence interval for the true mean noise level, we can use the formula:

CI = mean ± Z * (σ / sqrt(n))

Where:

CI is the confidence interval,

mean is the sample mean,

Z is the z-score corresponding to the desired confidence level,

σ is the population standard deviation,

n is the sample size.

In this case, we have:

mean = 56.5 (sample mean)

σ = 3.5 (population standard deviation)

n = 180 (sample size)

Confidence level = 98%

First, we need to find the z-score corresponding to a 98% confidence level. The remaining 2% is split equally between the two tails of the distribution, so we have 1% in each tail. We can find the z-score using a standard normal distribution table or a graphing calculator. For a 98% confidence level, the z-score is approximately 2.33.

Now we can calculate the confidence interval:

CI = 56.5 ± 2.33 * (3.5 / sqrt(180))

CI = 56.5 ± 2.33 * (3.5 / 13.416)

CI = 56.5 ± 2.33 * 0.261

CI = 56.5 ± 0.607

CI ≈ (55.9, 57.1)

Therefore, the 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

Step-by-step explanation: 123 but the answer could be infinite

Answer:

Step-by-step explanation: Could be infinite

Answer:

y=-2x+1

Step-by-step explanation:

Look at the photo i think

Answer: A

Step-by-step explanation:

19+13x+32

13x=32-19

13x=13

x=1

We can see that:

Part A: 3 appointments

Part B: 5 appointments

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Part A

Let x = number of dog grooming appointments Macy had in one day.

Given information:

Charge per appointment = $60

Total amount earned = $220

Total amount of tips earned = $40

Create an equation with the given information:

⇒ 60x + 40 = 220

Solving the equation:

Subtracting 40 from bothsides, we have:

⇒ 60x + 40 - 40 = 220 - 40

⇒ 60x = 180

⇒ 60x ÷ 60 = 180 ÷ 60

⇒ x = 3 appointments.

Part B

Let x = number of dog grooming appointments Logan had.

Given information:

Charge per appointment = $70

Total amount earned = $300

Total amount of tips earned = $50

Rental fee per appointment = $20

Create an equation with the given information:

⇒ 70x - 20x + 50 = 300

Solve the equation:

⇒ 50x + 50 = 300

⇒ 50x + 50 - 50 = 300 - 50

⇒ 50x = 250

⇒ 50x ÷ 50 = 250 ÷ 50

⇒ x = 5 appointments.

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To find the interval of convergence for the power series.  In other words, the power series converges for all values of x.

∑n=1∞ (x-4)^n / n*(-5)^n

we can use the ratio test:

lim┬(n→∞)⁡|a_(n+1)/a_n|

=lim┬(n→∞)⁡|(x-4)/(n+1)(-5/n)|

= lim┬(n→∞)⁡|(x-4)(-5)/(n+1)n|

= |-5(x-4)| * lim┬(n→∞)⁡1/(n+1)

= |-5(x-4)| * 0

The series will converge if the limit is less than 1 and diverge if the limit is greater than 1. Therefore, we need to solve the inequality:

|-5(x-4)| * 0 < 1

which simplifies to:

|x-4| > 0

Thus, the interval of convergence is (4 - ∞, 4 + ∞) or (-∞, ∞) in interval notation.

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Answer:

125

Step-by-step explanation:

125x5=625

125x8=1000

Answer:

there are 12 boys for every 4 girls.

Answer:

x=-8

Step-by-step explanation:

5x-3x=-2-14

2x=-16

x=-8