why can't x²+4x+1 be factored

Answer:

23/50 or 0.46

Step-by-step explanation:

probability of girls owning a bicycle 60/100=3/5

probability of girls no owning one is 1-3/5=2/5

same method for boys 70/100=7/10

probability for not is 3/10

to find the probability that only one does you would do..

(3/5*3/10)+(2/5*7/10)

which equals 23/50 or 0.46

Answer:

1. What is the true density of water?

The true density of water is 1 g/cm³. (Actually, the exact density if water is not really 1 g/cm³, but a bit less (very, very little less), at 0.9998395 g/mol at 40 degree Celsius)

2. What variables change the density of water?

Temperature and purity can change the density of water.

3. How does water go against the concept of "Thermal Expansion"?

When water is a liquid, the water molecules are packed relatively close together but can slide past each other and move around freely(as stated earlier, that makes it a liquid). As the temperature increases or decreases from 4 degree Celsius, the density of water decreases.

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Step-by-step explanation:

if you are not sure check 3/4 into the equation

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

PQ are the first two letters and AB are the first two letters.

Since the windows are similar the letters in one are in the same orientation as the other ones.

This means PQ would be the same as AB

PQ = 60

The answer is A. 60 in.

Answer:

a

Step-by-step explanation:

Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

For similar questions on probability

https://brainly.com/question/25870256

#SPJ11

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

The zeroes of the equation x² + 3x - 40 is -8 or 5.

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

F(x) = x² + 3x - 40

Now, solving the quadratic Equation

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8)=0

(x+8) (x-5)= 0

So, x+8 = 0 or x-5=0

x=-8 or x= 5

Hence, the zeroes are -8 and 5.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ1

Answer:

this the answery=x/3+2

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

Learn more about compounded interest at https://brainly.com/question/28020457.

#SPJ1

Answer:

The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the

It will take around 0.24 months for the invested money to get doubled.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The formula to calculate the amount is as follows,

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

Substitute all the corresponding values in the above expression to obtain,

A = P\((1 + 6/100)^{nt}\)

1800 = 900\((1 + 6/100)^{nt}\\\)

=>   \((1 + 6/100)^{nt}\) = 1800/900

=>  \(1.06^{nt}\) = 2

Since, there are 12 months in one year, n = 12.

\(1.06^{12t}\) = 2

=> 12t = log(2) ÷ log(1.06)

=> 12t = 0.275

=> t = 0.02

Which is equivalent to 12 × 0.02 = 0.24 months.

Hence, it will take 0.24 months to double the invested money.

To know more about compound interest click on,

https://brainly.com/question/14295570

#SPJ1

You have a rectangle around a rectangle.  Since you have

the pool plus deck as having length = (x+25) and width = (x+9)

then x is twice the width of the deck. However, the equation for the total area of pool and deck is still area = length*width

y = (x+25)(x+9)

y = x2 + 9x + 25x + 225

y = x2 + 34x + 225  where x represents twice the width of the deck

Answer: x=-2

Step-by-step explanation: Distribute then add -54 to both sides bam then divide by -2

Answer:

X= -10 | Hope this helped! :')

Steps for answer!

1. Divide both sides by -2.

x+27=-34/-2

2. Two negatives make a positive.

x+27=34/2

3. Simplify  34/2 to  17.

x+27=17

4. Subtract 27 from both sides.

x=17-27

5. Simplify  17-27 to  -10.

x=-10

---------------------

Checking answer:

−2(x+27)=−34

1. Let x=−10.

−2×(−10+27)=−34

2. Simplify  -10+27 to  17.

−2×17=−34

3. Simplify  -2 x 17  to  -34.

-34=-34

Done by NeighborhoodDealer.

Answer:

x = 12, y = 4

Step-by-step explanation:

x / y = 3

x - y = 8

Or

12 / 4 = 3

12 - 3 = 8

The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

For more questions on length

https://brainly.com/question/28322552

#SPJ8

Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10

Answer:

it's three hope it helps

Step-by-step explanation:

The radius of the cylinder is 1.59 centimeters.

Remember that for a cylinder of radius R and height H, the volume is given by the formula:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is 76cm, and the volume is 600cm³, then we can replace these two in the equation to get:

600cm³ = 3.14*(76cm)*R^2

Solving for R, we will get:

R = √( 600cm³/3.14*(76cm)) = 1.59 cm

Learn more about cylinders by reading:

https://brainly.com/question/9554871

#SPJ1

The radius of the cylinder is r=50.129

The radius of the cylinder is the radius of a base. The altitude of the cylinder is a perpendicular segment from the plane of one base to the plane of the other and the height of the cylinder is the length of the altitude. The axis of a cylinder is the segment containing the centers of the two bases

The volume of a cylinder is 600,000.

The height is 76cm and the radius is unknown. How do you solve it?

The volume of a right cylinder can be determined by πr²h,

where

r is the radius,

h is the height, and

pi is a constant.

So:

76πr²=600000

πr²=600000/76=7894.736

r²=2512.972

r=50.129 cm^2

Hence, the radius is 50.129 cm^2

Learn more about radius at: https://brainly.com/question/28969202

#SPJ1

Answer:

I believe it would be B.

Let me know if you want work!

The basic ratio of minutes of painting to minutes of instruction is 7 : 6

From the question, we have the following parameters that can be used in our computation:

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

Read more about ratio at

https://brainly.com/question/12024093

#SPJ1

Answer:

It would be a positive 2.

Step-by-step explanation:

This is because if you start with -10 and add 4, the number 2 would go in the blank. Also if you start at positive 10 you just subtract 4 and the number 2 would still go in the blank.

Hope this helps!

Answer:

(2+6)/2= 4 (x-coordinate of midpoint)

(7+3)/2= 5(y=coordinate of midpoint)

Answer:

Hope it will help you:)

Step-by-step explanation:

Solution:

here,

A(2,7)-(\(x_{1,}y_{1\))

B(6,3)-(\(x_{2},y_{2\))

Now using midpoint formula,

midpoint of ab=(x1 + x2)/2, (y1 + y2)/2

                        =(2+6)/2,(7+3)/2

                         =(8/2,10/2)

                          =(4,5)

The midpoint of AB is(4,5).