Which type of graph would be best for showing the height of a sapling tree over the span of several weeks?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27

Answer:

C

Step-by-step explanation:

Answer:

x-0.25 is the answer for the above expression

Answer:

39

Step-by-step explanation:

2×4²+7
2×16+7

32+7=39

(brainlist ty)

Answer:

x = 4

Step-by-step explanation:

\(\sqrt{(x -4)(x - 4)\\}\)

x - 4 = 0

x = 4

Using it's concept, it is found that there is a 0.79 = 79% probability that he or she is content with the vacation allowance.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 500 - 105 = 395 out of 500 employees are content with the vacation allowance, hence:

p = 395/500 = 0.79.

There is a 0.79 = 79% probability that he or she is content with the vacation allowance.

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Answer:

7

50+20 = 70

The inverse function is given by: R(U) = (4G^2M^2)/(U^2)

To find the inverse of the function U(R) = 2GM/√R, we need to express R in terms of u.

Starting with the given equation:

U(R) = 2GM/√R

First, let's isolate √R on one side of the equation by dividing both sides by U(R):

√R = 2GM/U(R)

Next, square both sides of the equation to eliminate the square root:

R = (2GM/U(R))^2

Simplifying further:

R = (4G^2M^2)/(U(R))^2

In this inverse function, we express R, the planet's radius, in terms of the escape velocity u, where G is the universal gravitational constant and M is the planetary mass.

Note that this inverse function provides a relationship between the escape velocity and the planet's radius. By knowing the escape velocity, we can use this equation to estimate the radius of the planet.

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Answer:

24 sides

Step-by-step explanation:

the sum of the exterior angle and the interior angle = 180° , then

exterior angle = 180° - 165° = 15°

The sum of the exterior angles of a polygon = 360°

Divide the total by 15° to find number of sides n

n = 360° ÷ 15° = 24

Answer:

x - 2

Step-by-step explanation:

x minus 2

glad I helped

Answer:

x-2

Step-by-step explanation:

$524.75 - $65.99 = $485.76

but if she wants to get back to exactly $500 she needs too put $41.24 back in her account to get too exactly $500.

but in cold hard cash if she puts back the $41.24 to get it exactly $500 she will have $24.75 in cash with the rest $500 in her checking account!

hopefully this helped, thank you. have a wonderful day!

Answer:

2nd option

1 and 3 ; 2 and 4

Step-by-step explanation:

supplementary angles are those whose sum equal to 180°.

A good way to get a small standard error is to use a Large sample. the correct answer is option 1.

The standard error is a measure of the variability of the sampling distribution of a statistic. A smaller standard error indicates that the statistic is more precise and is likely closer to the true population value.

One way to obtain a smaller standard error is to use a larger sample size. This is because a larger sample size tends to produce a more accurate estimate of the population parameter, with less variability. Therefore, option 1, "Large sample," is the correct answer.

The other options, such as a large population, repeated sampling, small sample, or small population, are not necessarily related to obtaining a small standard error.

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The angle where the tangent intersect is as follows:

m∠L = 55 degrees.

A line that touches the circle at a single point is known as a tangent to a circle.

Therefore, the measure of the angle formed by the intersection of tangents is equals to half the difference of the intercepted arcs.

Hence,

m∠L = 1 / 2 (235 - (360 - 235))

m∠L = 1 / 2 (235 - 125)

m∠L = 1 / 2 × 110

m∠L =  55 degrees

Therefore, the measure of the angle formed by the intersection of the tangent is 55 degrees.

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The time for the investment if, A (t)  = \(850 (1.0623)^t\) Is 11.4 years.

The entire amount repaid at the conclusion of the borrowing period is indicated by the letter (A). A = P(1 + RT) is another way to express the simple interest total amount formula. Here, A stands for the total sum after the specified time.

Given:

The amount of money in an investment is modeled by the function,

A (t)  = \(850 (1.0623)^t\)

The number of years can also be represented by n,

A (n) = 850 (1.0623)ⁿ

If the amount is doubled then,

A (n) = 1700 = 850 (1.0623)ⁿ

2 = (1.0623)ⁿ

Take log both sides, the above expression can be written as,

n = log 2 / log (1.0623)

n = 0.30 / 0.0262

n = 11.429 or 11.4 years

Thus, the time t will be 11.4 years.

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Answer:

Your answer is 9.

Step-by-step explanation:

\(8x+2x+9=10x+9\)

If you were to simplify the first part of the equation, \(8x + 2x + 9\) would turn into \(10x + 9\)

The correct answers about school's population and year are - a. 744, b. 4 years, c. 186 and d. 1208.

The population growth between 2004 and 2008 = population in 2008 - population in 2004

Population growth = 1766 - 1022

Population growth = 744

Time taken for population to reach = final population year - initial population year

Time taken = 2008 - 2004

Time taken = 4 years

Average population growth per year = (final - initial year)/(final - initial population)

Average population growth per year = (1766 - 1022)/(2008 - 2004)

Average population growth per year = 744/4

Average population growth per year = 186

(Year 2004 - year 2001) × Average = (Population in year 2004 - population in year 2000)

3 × 186 = 1766 - Population in year 2000

558 = 1766 - Population in year 2000

Population in year 2000 = 1766 - 558

Population in year 2000 = 1208

Thus, the answers are 744, 4 years, 186 and 1208.

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The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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If the presented hypothesis is confirmed, it can be assumed that individuals in the experimental group suffer from headaches more frequently than those in the control group.

The study examines how stress affects headaches. The theory can be stated as follows: People who encounter stress episodes more than twice per day would feel headaches more frequently than people who do not experience stress. This question concerns a cause and effect analysis, which can be done with reliable results when using an experimental investigation. Therefore, it is advised to use an experimental design for dealing with headaches brought on by stress. Stress events are the only unchanging factor in our study, however they do cause changes in the frequency of headaches. The degree of headaches, which fluctuates when the independent variable is changed, can be thought of as the dependent variable. Here, the technique can be applied as follows: Informed consent is obtained from a sample of 400 persons, all of whom fall within the age range of 25 to 40 (to lessen the impact of any auxiliary variables on the results). The volunteers are divided into two groups at random, one of which is the experimental group and the other the control group (double-blind design to avoid any potential biases). Three times a day, participants in the experimental group are exposed to a show that is heavy on the negative feelings that can lead to stress; in contrast, individuals in the control group are not exposed to any of the shows mentioned above. Then, the presence of headaches is assessed in both groups' members.

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This point is located at (1, 4) on the directed line segment from (-7, 6) to (7, -2).

The coordinates of a point in space are the numerical values that describe its position.

The coordinates of the point that partitions the directed line segment from (-7, 6) to (7, -2) in a ratio of 1 to 3 can be found using the formula for a ratio of two points in a line.

This formula is given by (x₁ + (p/q) (x₂ - x₁)), (y₁ + (p/q) (y₂ - y₁)) where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment and p/q is the desired ratio of the line segment.

In this case, (x₁, y₁) = (-7, 6) and (x₂, y₂) = (7, -2).

Since the desired ratio is 1 to 3, p/q = 1/3.

Substituting these values into the formula yields the coordinates of the point that partitions the line segment in a ratio of 1 to 3 as (1, 4).

This point is located at (1, 4) on the directed line segment from (-7, 6) to (7, -2).

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Answer:

y=X+7

Step-by-step explanation:

(-1, 6)

1x up 1 over 1

y=mx+b

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

Plug 6 for y, and 1 for x.

Like this \(6=x (+-)#\)#

We know x is -1. 6=(-1*1)+#

6=-1+#

y=X+7

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

-1*1+7=6

A)The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

B) The probability of at least two buses arriving in the next 2 hours is =0.865

C)  The probability of no buses arriving in the next 2 hours is =0.135

d) The probability that it will be between 30 and 90 minutes before the next bus arrives is ,0.185

a) Let \($X$\) be the number of buses that arrive in a 2-hour period. Since the time between arrivals of buses follows an exponential distribution with a mean of 60 minutes, the arrival rate λ is given by\($\lambda=1 / 60$\) 0 buses per minute.

Therefore, the number of buses that arrive in a 2-hour period is a Poisson distribution with parameter \(\mu=\lambda t=(1 / 60) \times 120=2$.\). Thus, X has a Poisson distribution with parameter μ = 2.

The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

b) The probability of at least two buses arriving in the next 2 hours is

\($P(X \geq 2)=1-P(X=0)-P(X=1)=1-e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)-e^{\wedge}(-2)\left(2^{\wedge} 1 / 1 !\right)=0.865$.\)

c) The probability of no buses arriving in the next 2 hours is

\(P(X=0)=$ $e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)=0.135$\)

d) Let Y be the time between the first and second bus arrivals. Then Y follows an exponential distribution with a mean of 60 minutes. We want to find the probability that \($30 \leq Y \leq 90$\).

This is equivalent to finding \(P(Y \leq$ $90)-P(Y \leq 30)$,\), which is equal to F(90) - F(30), where F is the cumulative distribution function of the exponential distribution with \($\lambda=1 / 60$\)

Therefore, the probability that it will be between 30 and 90 minutes before the next bus arrives is\(F(90)-F(30)=\left(1-e^{\wedge}(-90 / 60)\right)-(1$ $\left.e^{\wedge}(-30 / 60)\right)=e^{\wedge}(-1.5)-e^{\wedge}(-0.5)=0.185$\)

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The marginal relative frequency of boys and girls who want to be a teacher is 32.86%.

The joint relative frequency of girls who want to be an athlete is 12.38%.

The conditional relative frequency of students that selected doctor, given that those students are boys is 25.93%.

We'll use the terms marginal relative frequency, joint relative frequency, and conditional relative frequency to analyze the data in the table.

1. The marginal relative frequency of boys and girls who want to be a teacher is:

First, find the total number of students who want to be a teacher (boys + girls):

24 (boys) + 45 (girls) = 69 (total students)

Next, find the total number of students surveyed (sum of all entries in the table):

24 + 28 + 56 + 45 + 31 + 26 = 210

Now, calculate the marginal relative frequency of boys and girls who want to be a teacher (total students who want to be a teacher / total students surveyed):

69 / 210 ≈ 0.3286

Multiply by 100 to get the percentage:

0.3286 * 100 ≈ 32.86%

2. The joint relative frequency of girls who want to be an athlete is:

Find the number of girls who want to be an athlete: 26

Calculate the joint relative frequency (number of girls who want to be an athlete / total students surveyed):

26 / 210 ≈ 0.1238

Multiply by 100 to get the percentage:

0.1238 * 100 ≈ 12.38%

3. The conditional relative frequency of students that selected doctor, given that those students are boys:

Find the total number of boys surveyed (sum of boys row):

24 + 28 + 56 = 108

Calculate the conditional relative frequency (number of boys who want to be a doctor / total boys surveyed):

28 / 108 ≈ 0.2593

Multiply by 100 to get the percentage:

0.2593 * 100 ≈ 25.93%

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Answer:

Jackson has 9 apples left

Step-by-step explanation:

19 - 10 = 9

Answer:

\(20^{\circ}\)

Step-by-step explanation:

We can see here that the two unknown angles are on the straight line . So its measure will be 180° .

\(\implies (4x + 20^{\circ})+(x-15^{\circ}) = 180^{\circ} \\\\\implies 5x + 5^{\circ} = 180^{\circ} \\\\\implies 5x = 175^{\circ} \\\\\implies x =\dfrac{175^{\circ}}{5}\\\\\implies x = 35^{\circ} \)

Now the angle F and the angle (x-15)° are vertically opposite angles . So they will be equal .

\(\implies x - 15^{\circ} \\\\\implies 35^{\circ} - 15^{\circ} \\\\\implies \boxed{ 20^{\circ} } \)

Answer:

0.35 per light bulb

Step-by-step explanation:

In order to find the unit price per bulb, we must set up a unit rate.

To do this, divide the cost for the pack by the number of light bulbs in the pack.

cost/bulbs

We know that a 7 pack of bulbs costs $2.45.

cost= $2.45

bulbs= 7 bulbs

$2.45/7 bulbs

Divide 2.45 by 7 (2.45/7=0.35)

$0.35 /bulb

The unit price per bulb is 0.35.