Solve pls Brainliest

The result of the expression is 60.

The given expression can be solved by applying the principle of BODMAS.

BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. The BODMAS is used to explain the order of operation of a mathematical expression.

This indicates that numerous operator expressions must only be spelled out in this order, from left to right. We begin by resolving the brackets, then move on to powers or roots, division or multiplication (depending on which comes first from the left side of the expression), and lastly subtraction or addition (depending on which comes on the left side).

Given, 50+20/10*5 = 50+2*5=50+10=60

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Answer:

here u go

Step-by-step explanation:

The diagram below shows ΔOAG, where RN¯, NE¯, and ER¯ are mid-segments of the triangle.

If OA=(4x+3) units, NE=(2.5x) units, RN=4.5 units, and ER=(2x) units, determine the measures below.

The length of NE¯ is units.

The length of GO¯ is units.

The length of AG¯ is units.

The perimeter of ΔOAG is units.

Answer:D

Step-by-step explanation: 610/488= 1.25 or 5/4

The new length is 35+10=45 and the new width is 18+10=28.

To Find the Area of a rectangle is length times the width.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means the length is 35 feet and the width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now we will apply the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

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When two numbers have the same sign, the result will be the number with the larger absolute value. 25 + (-15) - (-10) = 30

To calculate 25 + (-15) - (-10), we must first look at the order of operations. We start with the parentheses, so we need to calculate -15 and -10 first. When two numbers have the same sign, the result will be the number with the larger absolute value. In this case, -15 and -10 both have negative signs, so the result will be -15.

Next, we move on to the addition and subtraction signs. We add 25 and -15 to get 10. Then we subtract -10 from 10, and the result is 30. So, 25 + (-15) - (-10) = 30.

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The percent error of Oliver's estimate will be 7.1%. Then the correct option is B.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

In science class, Oliver gauges the volume of an example to be 52 mL. The genuine volume of the example is 56 mL.

The percent error of Oliver's estimate is given as,

P = [(56 - 52) / 56] x 100

P = (4 / 56) x 100

P = 0.071 x 100

P = 7.1%

The percent error of Oliver's estimate will be 7.1%. Then the correct option is B.

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Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

If the exterior angle is of 90º, it's adjacent interior angle will also be of 90º

What is exterior angle property of triangle?

According to the exterior angle theorem, the exterior angle that results from stretching a triangle's side is equal to the sum of the dimensions of the triangle's two opposed interior angles. The theorem can be used to determine a triangle's unknown angle's measurement. We must first determine the triangle's exterior angle and then its two remote inner angles in order to apply the theorem.

Using the concept of supplementary angles, it is found that the measure of an exterior angle of a triangle is equal to the measure of it's adjacent interior angle if both measure 90º.

Two angles are called supplementary if their measures add to 180º.

The exterior angle of a triangle is supplementary to it's adjacent interior angle.

Thus, if the exterior angle is of 90º, it's adjacent interior angle will also be of 90º.

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By solving a simple product we will see that 12% of 45 is equal to 5.4

If we have a number N and we want to take a percentage P of that number, the operation we need to do is:

new number = N*(P/100%)

Here the original number is N = 45 and the percentage is 12%, then we need to solve:

new number = 45*(12%/100%) = 5.4

Then the 12% of 45 is equal to 5.4

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A bar graph is the most popular visual representation of quantitative data.

Another name for them is bar charts. One tool used in statistics for data processing is the bar graph. Using a bar diagram, it is simple and quick to compare sets of data among several groupings. On one axis of the graph are discrete numbers, while on the other are categories. The purpose is to illustrate how the two axes are related. Bar charts can also show significant alterations in data over time.

Given,

A bar graph is the most popular visual representation of quantitative data.

b) Bar graph

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(A) cylindrical coordinate = (r, θ, z) = (√2, -π/4, 1)

(B) cylindrical coordinate = (r, θ, z) = (14, -π/3, 7)

In the given question, we have to change from rectangular to cylindrical coordinates. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A) (-1,1,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

So we find the value of r and θ one by one.

r = √x^2+y^2

r = √(-1)^2+(1)^2

r = √1+1

r = √2

θ = [tex]\tan^{-1}[/tex](y/x)

θ = [tex]\tan^{-1}[/tex](1/-1)

θ = [tex]\tan^{-1}[/tex](-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√2, -π/4, 1)

B) (-7,7√3,7)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

So we find the value of r and θ one by one.

r = √x^2+y^2

r = √(-7)^2+(7√3)^2

r = √49+147

r = √196

r = 14

θ = [tex]\tan^{-1}[/tex](y/x)

θ = [tex]\tan^{-1}[/tex](7√3/-7)

θ = [tex]\tan^{-1}[/tex](-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 7)

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f(t) =  [tex]0.01 ( 2 )^{t}[/tex] is  which investment will eventually have the greater value.

What investment means?

An asset or object purchased with the intention of generating income or appreciation is referred to as an investment. An asset's value increasing over time is referred to as appreciation.

                               When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

F(t) = [tex]a(b)^{t}[/tex]

option a -                      a = 5

                                b = 1.5

                        f(t) = 5(1.5)

option b -                    a  = 0.01

                                  b = 2

               f(t) =  [tex]0.01 ( 2 )^{t}[/tex]

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By using some exponent properties, we will find the equivalent expression:

(m⁻²*n⁻³)⁻⁴ = m⁸*n¹²

Here are some exponent properties that we need to use:

(aⁿ)ˣ = aⁿ*ˣ

(a⁻ⁿ) = (1/a)ⁿ

Here we have the expression:

(m⁻²*n⁻³)⁻⁴

The exponents can be distributed under multiplication, then:

(m⁻²)⁻⁴*(n⁻³)⁻⁴

Now we can use the first property so we get:

(m⁻²)⁻⁴*(n⁻³)⁻⁴ = m⁽⁻²*⁻⁴⁾*n⁽⁻³*⁻⁴⁾

m⁽⁻²*⁻⁴⁾*n⁽⁻³*⁻⁴⁾ = m⁸*n¹²

That is the equivalent expression.

(m⁻²*n⁻³)⁻⁴ = m⁸*n¹²

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What the point (5, 100) represent is that: At 5 minutes, there are 100 gallons of water in the pool.

The graph missing in the complete question is added at the end of this solution as an attachment

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

This means that the point (5, 100) represents

(x, y) = (5, 100)

So, we have

x = 5 and y = 100

Recall that

So, it means that there are 100 gallons of water in the pool after 5 minutes

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This means that the probability of getting exactly 3 heads in ten flips is about 24.1%.

The probability of getting a specific number of heads in a given number of flips follows a binomial distribution, which describes the probability of getting a certain number of successes in a given number of independent trials. The probability of getting a specific number of heads in ten flips can be calculated using the formula:

P(x heads in n flips) = (n choose x) * p^x * (1-p)^(n-x)

where p is the probability of getting a head on each flip and x is the number of heads.

For example, the probability of getting exactly 3 heads in ten flips is:

P(3 heads in 10 flips) = (10 choose 3) * 0.35^3 * (1-0.35)^(10-3) = 0.241

This means that the probability of getting exactly 3 heads in ten flips is about 24.1%.

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Answer:  3.5 hours

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Given:  [tex]\textsf{2/3 minutes to prepared one bag and they have 5 people}[/tex]

Find: [tex]\textsf{How many hours it will take to prepare 1575 bags}[/tex]

Solution: Looking at the question we can see that Ashley and 4 of her friends are preparing these bags which means that 5 people are going to be working on it.  If we have 1575 bags, then we can just divide 5 from it to split the work evenly which gives us 315 bags per person.

Now that we know the fair share of work, we can multiply 315 bags by 2/3 of a minute per bag which gives us 210 total minutes.  We can then divide that by 60 minutes per hours to get the final answer of 3.5 hours to prepare 1575 bags of samples.

By using the hypothesis test, to determine whether the mean of tickets is not equal to $125 is calculated as 58%.

We must compute the sample's z-score using the sample mean and standard deviation in order to determine the p-value for this hypothesis test. The z-score calculates how far the sample mean deviates from the population mean by standard deviations.

The difference between the two means is $5 if the population mean is $125 and the sample mean is $120. Given that the sample's standard deviation is $25,

z-score =  [tex]\frac{5}{25}[/tex] = 0.2.

We must utilize the z-score to hunt for the equivalent value in a typical normal table in order to determine the p-value. The chance of selecting a sample with a mean of $120 from a population with a mean of $125 is known as the p-value.

The probability that a sample with a z-score of 0.2 would be taken from a population with a mean of $125 is the p-value in this instance. When we look for 0.2 in a typical normal table, we discover that the p-value is roughly 0.58. As a result, 0.58 is the p-value for this hypothesis test. The probability that a sample with a mean of $120 would be taken from a population with a mean of $125 is therefore 58%.

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The equation of the line normal to the curve y = square root(3x² + 2x) at point (2,4) is given as follows:

y - 4 = -4/7(x - 2).

The equation of the line normal to a curve follows the point-slope definition of a linear function, given as follows:

y - y' = m(x - x').

The function in this problem is defined as follows:

y = square root(3x² + 2x).

Then the derivative of the function, applying the chain rule, is given as follows:

y' = (6x + 2)/(2 x square root(3x² + 2x))

y' = (3x + 1)/square root(3x² + 2x)

At x = 2, the numeric value of the derivative is of:

y' = 7/square root(16) = 7/4.

The slope of the normal line is calculated as follows:

m x 7/4 = -1

m = -4/7.

(as the normal line is perpendicular to the tangent line, which has slope equals to the numeric value of the derivative at the point).

The coordinates of the point at (2,4), hence:

x' = 2, y' = 4.

Then the definition of the normal line is given as follows:

y - 4 = -4/7(x - 2).

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There will be "sample size."=102 Below is an additional explanation.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

hence, There will be "sample size."=102 Below is an additional explanation.

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Therefore, the probability that the mean number of lightning strikes per square kilometer is less than 5 is P([tex]X^{'}[/tex]<5)=0.0016

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Here,

mu =6

α=2.4

n=50

Σxi=250

Formula used:

z=[tex]\frac{x-u}{\alpha }[/tex]

Step 2: Calculation

[tex]x^{'}[/tex] = Σ[tex]\frac{xi}{n}[/tex] = 250/50 = 5

z = [tex]\frac{x^{'} - u_{x} }{\alpha x^{'} }[/tex] = [tex]\frac{x^{'} - u_{x} }{ \frac{\alpha }{\sqrt{n} } }[/tex] = [tex]\frac{5- 6}{ \frac{2.4}{\sqrt{50} } }[/tex] ≈ -2.95

P([tex]X^{'}[/tex]<5)=P(Z<-2.95)

=0.0016

or 0.16%

Therefore, the probability  probability that the mean number of lightning strikes per square kilometer is less than 5 is P([tex]X^{'}[/tex]<5)=0.0016

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Answer:

there were 91,487.414 gallons of water in the tank before the leak.

Step-by-step explanation:

To find out the number of gallons of water that was in the tank before the leak, you can use the following equation:

Number of gallons before the leak = Number of gallons after the leak + Number of gallons leaked

Plugging in the values given in the problem, we get:

Number of gallons before the leak = 91,468 gallons + 19.414 gallons

Solving this equation gives us:

Number of gallons before the leak = 91,487.414 gallons

So there were 91,487.414 gallons of water in the tank before the leak.

0.957 < p < 0983 is a 90% confidence interval for the proportion of mp3 players from the population that pass all tests

.Given :

a random sample of 500 mp3 players, 15 failed one or more tests.

no of passed mp3 players = 500-15 =485

p  = 485/500 =0.97

q = 1-p = 1-0.97 =0.03

90% confidence interval.

1- [tex]\alpha[/tex] = 90%

[tex]\alpha = 0.1[/tex]

[tex]Z_{\alpha/2}[/tex] = [tex]z_{.05} =1.645[/tex]

[tex]\hat{p} -[/tex] [tex]Z_{\alpha/2}[/tex][tex]\sqrt{\frac{\hat p \hat q}{n} }[/tex]< p< [tex]\hat{p} +[/tex] [tex]Z_{\alpha/2}[/tex][tex]\sqrt{\frac{\hat p \hat q}{n} }[/tex]

0.957 < p < 0983

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A 90% confidence interval for the percentage of mp3 players in the population that pass all tests is 0.957 < p <0983.

To obtain this confidence interval, add and subtract the margin of error from the sample mean. This result represents the upper and lower bounds of the confidence interval.

If the level of confidence is 90%, we can be 90% confident that the interval contains the population mean. The corresponding z-score is 1.645.

The sample mean (X) and, if relevant, the population standard deviation must be known in order to compute a confidence interval. The sample standard deviation, s, can be used in place of the population standard deviation when the sample size is greater than 30.

According to the given information

15 out of 500 mp3 players in a random sample failed one or more tests.

MP3 players that have been passed: 500-15 = 485

p = 485/500 =0.97

q = 1-p = 1-0.97 =0.03

Confidence interval of 90%.

[tex]1-\alpha[/tex] = 90%

[tex]\alpha[/tex] = 0.1

[tex]Z_{\frac{\alpha }{2} } = Z_{.05} = 1.645[/tex]

[tex]p-Z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]<p<[tex]p+Z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]

0.957 < p < 0983

A 90% confidence interval for the percentage of mp3 players in the population that pass all tests is 0.957 < p <0983.

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A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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Answer:1= 80 percent

2= 87.5 percent

Step-by-step explanation:

Answer:x=-1

Step-by-step explanation:

-x-2(7)=-13

-x-14=-13

(Add 14 on both sides)

-x=1

(-1x is the same as -x)

-1x=1

(Divide both sides by -1)

X=-1

The area of the square is 25ft² and the perimeter is 20ft.

It's important to note that the area of a square is calculated as:

= Side ²

The perimeter is calculated as:

= 4 × Side

From the information given, the side is 5ft. The area will be:.

= 5 × 5

= 25ft²

The perimeter will be:

= 4 × Sode

= 4 × 5ft.

= 20 feet

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In the regression line y = a+ bx+ e, a is the slope of the regression line.

The above statement is False.

The correct Statement is :

The linear regression line has an equation of the form Y =a + bX

where, Y is called the dependent variable or response.

X means independent or predictor or explanatory variable.

a is the y-intercept and b is the slope of the line.

Regression Line:

A regression line is a statistical tool that shows the correlation between two variables. Specifically, it is used when the variation of one (the dependent variable) depends on changes in the value of the other (the independent variable).

Simple linear regression has two cases:

The formula for the least squares regression line (LSRL) from Y to X is:

                           Y=a + bX + ɛ

where,

Y is the dependent variable.

a is the Y intersection.

b is the slope of the regression line.

X is the independent variable.

ɛ is the residual (error).

and

b = (N∑XY-(∑X)(∑Y) / (N∑X2– (∑X)2) ;

and

a = (∑Y – b ∑X) / N

where, N is the total number of observations.

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