When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?

Answer:

y<=-3x-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=-6-3/1-2

m=-3

y-y1=m(x-x1)

y-3=-3(x-(-2))

y-3=-3x-6

y=-3x-6+3

y=-3x-3

we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x-3

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

Learn more about ”confidence interval” here:

brainly.com/question/32546207

#SPJ11

Answer:

Using the given information from the graph, the x-intercept of the line is -1 and the y-intercept of the line is -4.

Step-by-step explanation:

For this problem, we are asked to find the x-intercept and the y-intercept of the line. The x-intercept represents the point where the line hits the x-axis. The y-intercept represents the point where the line hits the y-axis.

So, knowing this, we have the find the points where the line hits the x-axis and the point where the line hits the y-axis.

The line hits the x-axis at (-1,0). The line hits the y-axis at (0,-4)

So, the x-intercept of the line is -1 and the y-intercept of the line is -4.

Answer:

6.) No, you do not agree with Ted.

7.) x = 34 degrees

Step-by-step explanation:

6.) For a triangle to be valid, it must meet these requirements:

a+b>c

a+c>b

b+c>a

If it fails a single one, then it is invalid.

For example: 6+11 is not greater than 4. Therefor, Ted is incorrect

7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.

We have these clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 is a right angle

Any triangle must have its angles sum to 180 degrees

We also know that right angles are equal to 90 degrees.

Our updated clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 = 90 degrees

angles 1+2+3 must equal 180

So we can make this equation:

x+56+90=180

Add like terms and solve for x:

x = 34

Let's define the following variables.

x = the amount invested at 2%

y = the amount invested at 8%

0.02x = interest at 2% account

0.08y = interest at 8% account

If the total investment in both accounts is 17, 000 then, we can say that:

If the total interest earning in both accounts is 1,060 then, we can say that:

Now that we were able to form a system of equation, we can solve for the values of x and y using substitution method. Here are the steps.

1. Equation Equation 1 into y = .

2. Replace the value of y in equation 2 using equation 1.

3. Solve for x.

The value of x is 5,000. Hence, the amount invested at 2% is 5,000.

4. Solve for y using equation 1 and the calculated value of x.

The value of y is 12,000. Hence, the amount invested at 8% is 12, 000.

The probability that more than one woman will wear sunscreen when outside for more than one hour can be calculated using the binomial distribution.

The binomial distribution is a probability distribution that calculates the probability of a certain number of successes in a fixed number of independent trials. The binomial distribution is a discrete probability distribution that is characterized by two parameters: the probability of success in a single trial (p) and the number of trials (n).In this question, we need to find the probability that more than one woman will wear sunscreen when outside for more than one hour. Since we are dealing with more than one woman, we need to use the binomial distribution with the following parameters:p = probability that a woman wears sunscreen when outside for more than one hourn = number of womenLet's assume that p = 0.6 (60% chance that a woman will wear sunscreen when outside for more than one hour) and n = 3 (three women are outside for more than one hour).The probability that no woman will wear sunscreen is (1 - 0.6)^3 = 0.064.The probability that one woman will wear sunscreen is 3 × 0.6 × (1 - 0.6)^2 = 0.288.The probability that two women will wear sunscreen is 3 × 0.6^2 × (1 - 0.6) = 0.432.The probability that three women will wear sunscreen is 0.6^3 = 0.216.The probability that more than one woman will wear sunscreen is the sum of the probabilities that two or three women will wear sunscreen:P(X > 1) = P(X = 2) + P(X = 3) = 0.432 + 0.216 = 0.648Therefore, the probability that more than one woman will wear sunscreen when outside for more than one hour is 0.648 or 64.8%.
To accurately calculate the probability of more than one woman wearing sunscreen when outside for more than one hour, we would need more information, such as the total number of women and the individual probabilities of them wearing sunscreen.

learn more about binomial distribution here: brainly.com/question/29137961

#SPJ11

Answer:

300

Step-by-step explanation:

100% of 150 is literally 150, add those together and you get 300.

Answer:

the answer is $300

Step-by-step explanation: when increasing by 100% it is the same as multiplying by 2

Answer:

50%

the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%

The price of rolls of film is $2.50 and the price camera batteries is $1.50.

of Two equations can be derived from the  question:

8f + 2b = 23 equation 1

6f + 2b = 18 equation 2

Where:

f = rolls of film

b = camera batteries

In order to determine the value of f, subtract equation 2 from 1

2f = 5

Divide both sides of the equation by 2

f = 2.50

In order to determine the value of b, substitute for f in equation 1:

8(2.50) + 2b = 23

20 + 2b = 23

2b = 23 - 20

2b = 3

b = 1.50

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Answer:

sinA = 12/13, cosA = 5/13, tanA = 12/5

sinB = 5/13, cosB = 5/13, tanB = 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Sin(A) = 12/13

Sin(B) = 5/13

Cos(A) = 5/13

Cos(B) = 12/13

Tan(A) = 12/5

Tan(B) = 5/12

Answer:

3(4+5)=3(4)+3(5)

Hope it helps

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

To learn more about tensile strength : brainly.com/question/14368662

#SPJ11

There is a 3.1% chance of obtaining a sample with a mean of 85 or higher assuming that the true mean sales at the new location are still equal to or less than 75 bowls a day.

What is the P value in statistics?

P value is a part of hypothesis testing. The P value is a measurement used against some data in testing.

Given in question,

    Food Truck in  Old location:

                             Sold =  75 bowls of noodle soup

   New location  Sold =  85 bowls of noodle soup

   p-value = 0.031

there is a 3.1% chance of obtaining a mean with a sample.

similarly, that is we can tell that the true mean sales at the new location will be still equal to or less than 75

  i.e. [P(X=75) ≤ P(X=85)]   bowls a day.

To know more about p-value visit:

https://brainly.com/question/13783749

#SPJ1

The value of 2 divided by 3 is 0.67

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

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

Read more about quotient expressions at

https://brainly.com/question/1807180

#SPJ1

Answer:

irrational

Step-by-step explanation:

irrational because there will still be a 2 under the root when you simplify to 2√2

Answer:

\( \frac{6}{x} = \frac{8}{24} \)

\(8x = 144\)

\(x = 18\)

\( \frac{8}{24} = \frac{y}{12} \)

\(24y = 96\)

\(y = 4\)

So x = 18 and y = 4.

Answer:

Jerry's Running

Step-by-step explanation:

Joey's biking:

32/4=8 Not this one.

Jaclynn's Shopping:

24/3=8 Not this one.

Josephine's Grapes:

4/0.5=8 not this one

Jerry's Running:

2/8= .25 This one is correct

The two triangles are similar by the Angle- Angle and also SIde -Side postulates.

A postulate is defined as a statement that is assumed to be true without any proof.

A theorem is defined as a true statement and is supported by a proof (or can be proven).

Here, two triangles can be said to be similar through many postulates :

1. △ABC and △DEF are similar if

angle ABC is equal to angle DEF; and

angle BCA is equal to angle EFD

(or any other two corresponding angles are same)

This can be said that △ABC and △DEF are similar with Angle- Angle (AA) postulate.

2.  △ABC and △DEF are similar if

side AB/ BC is proportional to side DE/ EF;

(or ratio of two corresponding sides are similar)

This can be said that △ABC and △DEF are similar with Side Side (SS) postulate.

To know more postulate and theorem about here

https://brainly.com/question/1411515

#SPJ4

a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

learn more about hypothesis from givn link

https://brainly.com/question/606806

#SPJ11

The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.

To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.

Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.

When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.

When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.

Since these events are independent, we can multiply the probabilities together:

P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².

Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:

P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8

Before a tax of 22 %, the product has an original price of $ 8032.79.

In this problem we find the case of a product that is sold including a given tax, that is, the price of the product before taxes. The original price can be found by means of the following equation, which is in terms of resulting price and tax rate:

C = C' / (1 + r / 100)

Where:

If we know that C' = $ 9800, r = 22 %, then the original price of the product is:

C = 9800 / (1 + 22 / 100)

C = 9800 / (122 / 100)

C = 9800 / 1.22

C = $ 8032.79

Therefore, the original price of the product, that is, the price before a tax of 22 %, is equal to $ 8032.79.

To learn more on percentages: https://brainly.com/question/29749683

#SPJ1

The total distance around the track is 332.2 meters

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

\(C = 2\pi r\)

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

To evaluate the limit using continuity, we need to consider the intervals on which both the numerator and denominator are continuous. The numerator 12Vx is continuous for all values of x. The denominator 12+x is continuous and nonzero for all values of x except when x = -12.

Continuity is a property that ensures a function is well-behaved and does not have any abrupt jumps or holes in its graph. To evaluate the limit, we need to ensure that both the numerator and denominator of the expression are continuous on the interval in question. In this case, the numerator 12Vx is a simple function and is continuous for all values of x. There are no restrictions or exceptions.

The denominator 12+x is also continuous for all values of x except when x = -12. At x = -12, the denominator becomes zero, which would result in an undefined value for the fraction.

Therefore, the numerator is continuous on the entire real number line, and the denominator is continuous and nonzero for all values of x except x = -12.

Learn more about numerator here:

https://brainly.com/question/7067665

#SPJ11

Answer:

x = \(\frac{4}{5},5\)

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

\(\frac{AB}{BD}=\frac{AC}{CD}\)

\(\frac{5x}{3x+10}=\frac{5x-2}{4x+3}\)

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

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

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

\(x=\frac{4}{5},5\)

Answer:

150

Step-by-step explanation:

125/2.5=50

50x3 =150

Answer:

150

Step-by-step explanation:

I took the Practice/Instruction :)

Answer:

x=18

Step-by-step explanation:

x-4=14

  +4  +4

x=18

Answer:

0.50m/s

Step-by-step explanation: