two numbers have a product of 12 but their sum is-7 what are the numbers

Answer:

n ≤ 4

Step-by-step explanation:

Which means you should start at four (make sure it's a close circle) pointing to the left. I hope it helps.

Answer:

all interior angles of a triangle adds up to 180°

therefore,

x°+79°+41°=180°

x°+120°=180°

x°=180°-120°

x°=60°

\(\huge\boxed{\text{$74$ girls}}\ \huge\boxed{\text{$106$ boys}}\)

Hey there! This situation can be modeled and solved using a system of equations. We'll use \(b\) to represent the number of boys and \(g\) to represent the number of girls.

\(\displaystyle{\left \{ {{b+g&=180} \atop {b&=g+32} \right.}\)

Since we know what \(b\) equals, we can substitute it into the first equation.

\(\begin{aligned}b+g&=180\\(g+32)+g&=180&&\smash{\Big|}&&\text{Substitute.}\\2g+32&=180&&\smash{\Big|}&&\text{Combine like terms.}\\2g&=148&&\smash{\Big|}&&\text{Subtract $32$ from both sides.}\\g&=74&&\smash{\Big|}&&\text{Divide both sides by $2$.}\end{aligned}\)

Now that we know the number of girls, use the second equation to get the number of boys.

\(\begin{aligned}b&=g+32\\&=74+32&&\smash{\Big|}&&\text{Substitute.}\\&=106&&\smash{\Big|}&&\text{Add.}\end{aligned}\)

Answer:

21

Step-b2y-step explanation:

4 +34534534563256456345 divided by 4/55

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ \(50+34\)

⇒ \(84\)

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

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Answer:

The figure is made up of a rectangle and two triangles. The dimensions of the rectangle are 10 cm by 5 cm, so the area of the rectangle is 10 * 5 = 50 cm^2.

Each of the two triangles has a base of 4 cm and a height of 3 cm, so the area of each triangle is (1/2) * 4 * 3 = 6 cm^2. The total area of the two triangles is 2 * 6 = 12 cm^2.

The total area of the figure is the sum of the areas of the rectangle and the triangles: 50 + 12 = 62 cm^2.

Step-by-step explanation:

Answer:

can you post the whole picture? ill edit my answer to the correct one but i doont know the first parts of the question,,

Step-by-step explanation:

The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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The accumulated amount 54675 (\(2.7^{t}\\\)) in dollars of an account with an initial deposit of $7,500 and earns 3. 4% compound interest semi-annually.

A compound interest is calculated by the formula,

\(A = P [ 1 + ( r/n )]^{nt}\)

where, A is the accumulated amount at the end of the period ,

P is the initial amount of deposit,

r is the rate of interest earned on the initial deposit in the period

t is the time periods elapsed

and n is the number of times interest is applied per time period

Here the account has an initial deposit , P = $7500 and earns 3.4% rate of interest, say r, compounded semi- annually, that is n= 2 ( as rate of interest is applied twice a year or twice per time period) in time period, say t.

Therefore by the formula of compound interest we get,

Accumulated amount, A = \(7500[ 1 + 3.4/2]^{2t}\)

⇒ A = \(7500[ 1 + 1.7]^{2t}\) in dollars

⇒ A = \(7500(2.7)^{2t}\) in dollars

⇒ A = 7500 (2.7)² (\(2.7^{t}\) ) in dollars

⇒ A = 54675 (\(2.7^{t}\\\)) in dollars

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To find the probability that at least two dice show the same number, we can first calculate the probability that all five dice show different numbers, and then subtract it from 1.

Step 1: Calculate the probability that all five dice show different numbers.
The first dice can show any number, so its probability is 1. For the second dice, there are 5 remaining numbers that are different from the first one, so its probability is 5/6. Similarly, the third dice has 4 remaining numbers, so its probability is 4/6, and so on.
So the probability that all five dice show different numbers is (1) x (5/6) x (4/6) x (3/6) x (2/6) = 20/216 = 5/54.

Step 2: Subtract the probability from 1 to find the probability of at least two dice showing the same number.
1 - 5/54 = 49/54.

Therefore, the probability that at least two dice show the same number is 49/54.

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The distance between ping's home to aris's home will be 1 street and 12th avenue.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Ping house ⇒ 3rd street and 6th avenue

Ari's home ⇒  21st street and 18th avenue

So, the distance between them

21 - 3 = 18 street

18 - 6 = 12 avenue.

Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".

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Answer: -3/7

Step-by-step explanation:

Slope formula

M= -4-(-7) / 12-19

-3/7

Answer:

p = 37

Step-by-step explanation:

divide 2 on both sides:

p = 37

Hope this helps!

Answer:

p=37

Step-by-step explanation:

74 ÷ 2 = 37

2×37 = 74

74 = 74

make me brainliest pls

250 students

Hi there !

40% ................ 100 students

100% ................... x students

x = 100×100/40 = 10000/40 = 250 students

Good luck !

The restrictions on x are x = 1/5 and x = 0.

The restrictions on x, when (x+4)/(5x-1) is divided by (3x+12)/(6x), can be found by looking at the denominators of each fraction. The restrictions are values of x that would make the denominator equal to zero, which would make the fraction undefined.

For the first fraction, (x+4)/(5x-1), the restriction is when 5x - 1 = 0. Solving for x, we get:
5x = 1
x = 1/5

For the second fraction, (3x+12)/(6x), the restriction is when 6x = 0. Solving for x, we get:
x = 0

Therefore, the restrictions on x are x = 1/5 and x = 0. These values of x cannot be used in the original expression because they would make the denominator equal to zero and the expression undefined.

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a)1. True

2.False

3.True

4).False

b)Without knowing the sample size and standard deviation, we cannot determine the exact 90% confidence interval.

(a) For the content loaded Central Middle School data:

1. True: There is a 95% probability that μ (mean height) is between 54 and 58 inches.

This is the correct interpretation of the 95% confidence interval.

2. False: The confidence interval doesn't tell us the probability of the true mean or the margin of error being exactly as given. It only tells us the range where the true mean is likely to fall with 95% confidence.

3. True: If we took many additional random samples of the same size and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. This is the definition of a 95% confidence interval.

4. False: It's incorrect to say that μ would fall between 54 and 58 95% of the time. The correct interpretation is that if we computed multiple 95% confidence intervals, approximately 95% of those intervals would contain the true mean height.

(b) To determine the 90% confidence interval based on the same data:

Without knowing the sample size and standard deviation, any of the above answers could be the 90% confidence interval. Confidence intervals depend on the sample size, standard deviation, and desired confidence level. With the information given, we cannot determine the exact 90% confidence interval.

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The simplest form is (-2 ±√12)/2.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: x = (-4 ±√48)/4

We have to simplify the given term.

x = (-4 ±√48)/4

x =  (-4 ±√12×4)/4

x =(-4 ±2√12)/4

Now, we take 2 as common and get

x = (-2 ±√12)/2

Hence, the simplest form is (-2 ±√12)/2.

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The answer is 99.63% using probability.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

So the probability that  9-digit social security no number repeated digit is

10!=996371200

\(\frac{996371200}{1000000000}=\frac{155683}{156250}=0.9963712\)

So chance that at least one number is repeated =

1-\(\frac{10!}{10^{9}}=\frac{155683}{156250}=0.99637121\)

=0.9963712

Hence the probability is 99.63%

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Answer:

Step-by-step explanation:

From the picture attached,

Addition of the blocks in first row is 60

a + a + a + 12 = 60

3a + 12 = 60

3a = 60 - 12

3a = 48

a = 16

For second row,

(b + 5) + (b + 5) + (b + 5) + (b + 5) = 60

4(b + 5) = 60

b + 5 = 15

b = 10

For third row,

(a + b) + c = (b + 5) + (b + 5) + (b + 5)

a + b + c = 3(b + 5)

16 + 10 + c = 3(10 + 5) [Since, a = 16 and b = 10}

26 + c = 45

c = 45 - 26

c = 19

For fourth row,

3c + d = 60

3(19) + d = 60

57 + d = 60

d = 60 - 57

d = 3

Answer:

4^30 * 2^30

Step-by-step explanation:

8^31/8 = 8^30

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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To determine the minimum required diameter (D) of the cross-section of the beam, we need to consider the maximum bending moment and the maximum allowable bending stress.

The bending stress in a beam is given by the formula:

σ = (M * c) / I

Where σ is the bending stress, M is the maximum bending moment, c is the distance from the neutral axis to the outermost fiber (which is equal to half of the diameter for a circular cross-section), and I is the moment of inertia of the cross-section.

Rearranging the formula, we have:

D = (2 * M) / (σ * π)

Substituting the given values, with M = 80 kNm (converted to Nm) and σ = 500 MPa (converted to N/m²), we can calculate the minimum required diameter (D):

D = (2 * 80,000 Nm) / (500,000,000 N/m² * π)

D ≈ 0.255 meters or 255 mm

Therefore, the minimum required diameter of the cross-section of the beam is approximately 0.255 meters or 255 mm to resist the maximum bending moment of 80 kNm within the allowable bending stress of 500 MPa.

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The standard error of the sample mean is approximately 8.9 pounds.

What is standard error of the sample mean?

Simple division of the standard deviation by the square root of the sample size yields the SEM. By evaluating the sample-to-sample variability of the sample means, standard error determines the accuracy of a sample mean.

To find the standard error of the sample mean, we need to first find the sample mean weight of the students. To do this, we add up the weights of all the students and divide by the number of students:

(128 + 193 + 166 + 147 + 202 + 183 + 181 + 158) / 8 = 171.5

Next, we need to find the variance of the sample. The variance is a measure of the spread of the data around the mean, and is calculated as follows:

       \(variance = ((weight - mean)^2) / (n-1)\)

where weight is the weight of each student, mean is the sample mean weight, and n is the number of students.

Plugging in the values from our data, we get:

variance = (128 - 171.5)^2 + (193 - 171.5)^2 + (166 - 171.5)^2 + (147 - 171.5)^2 + (202 - 171.5)^2 + (183 - 171.5)^2 + (181 - 171.5)^2 + (158 - 171.5)^2 / 7

= 1096.5

Finally, we can find the standard error of the sample mean by taking the square root of the variance and dividing by the square root of the number of students:

                \(standard\ error = \sqrt{(variance / n)} \\\\= \sqrt{1096.5 / 8 )\\\\=8.9\)

So, The standard error of the sample mean is approximately 8.9 pounds.

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Answer:

ummmmm this is very complacated

Step-by-step explanation:

Answer:

2a/3

Step-by-step explanation:

Cancel the terms that are both in the numerator and the denominator. Or, in other words, simplify. 4a/6 can be simplified to 2a/3.

Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.

Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.

The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.

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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.

Answer:

Step-by-step explanation:

10 to  the power of -1 = 0.1

10 to the power of -2 = 0.01

0.01 as a fraction =

1/10000

because

10 = 1/10  or 10/100

1= 1/100

0.1 = 1/1000

0.01 - 1/10000

Answer:

1/100

Step-by-step explanation:

10^2 is 100 so 10^-2 would be 0.01 or 1/100

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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