solve the equation by factoring plssss help ASAPPPP
4x^{2}-20x=0


Thanks UwU

The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it properly depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.

the mean of the data = 9.12 oz

The SD = 0.05 oz

The probability of the bag to be less than 9.07 oz

x = 9.07

z = x - mean / SD = 9.07 - 9.12/0.05 = - 1

for z = -ve

Ф(z) = 1 - Ф(-z) = 1 - Ф(1) = 1 - 0.8413 = 0.1587

The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.

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1) Let's pick the 2nd equation and to eliminate the x variable, multiply by -2 then add both equations like this

2x+ 4y=10

-2X+ -2y=-30

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

2y = -20

y = -10

2) Now let's plug that y=-10 into one equation, usually the simpler one.

x +y = 15

x -10 = 15 add 10 to both sides

X = 15 +10

x=25

3) So the solution is S ={25, -10}

Charlie's utility function is given by U(A, B) = AB, where A is the number of apples he consumes and B is the number of bananas he consumes. The price of apples is $1, and the price of bananas is $2.

If Charlie's income is $120, he has a budget constraint given by:

1A + 2B = 120

To maximize his utility subject to this budget constraint, Charlie must use his income to purchase the combination of apples and bananas that gives him the greatest value of U(A, B).

The solution to this problem can be found by using the method of Lagrange multipliers. From the budget constraint, we can solve for A in terms of B:

A = 120 - 2B

Substituting this into the utility function, we have:

U(B) = (120 - 2B)B = 120B - 2B^2

To maximize U(B), we must find the value of B that maximizes this expression. Taking the derivative of U(B) with respect to B and setting it equal to zero, we find that:

dU/dB = 120 - 4B = 0

Solving for B, we find that:

B = 30

Thus, if Charlie chose the bundle that maximizes his utility subject to his budget constraint, he would consume 30 units of bananas. The answer is therefore a. 30.

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Answer:

it is IH - 110 ft

Step-by-step explanation:

The plane height is down 110 feet from its initial height.

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Let x be the initial height of the plane.

Then according to question;

if drop down means height in negative term and rise up means height in the positive term.

Then,

the height is

= x -300-180+240+130

= x-110

Therefore, down 110 feet is the height of the plane now relative to its initial height.

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Answer:

162/9 = 18 minutes

Step-by-step explanation:

Answer:

8 meters

Step-by-step explanation:

Given that:

Height of person = 2metres

Length of person's shadow = 6 meters

Height of flagpole =?

Length of flagpole shadow = 24 meters

Height of person = length of person's shadow

Height of flagpole = length of person's shadow

2 = 6

x = 24

Cross multiply

6x = 48

x = 48 / 6

x = 8 meters

The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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19 hours and 20 minutes = 19 1/3 hours

\(\frac{2437.5}{19 \frac{1}{3}}=\boxed{126 \frac{9}{116}}\)

Answer:

A

Step-by-step explanation:

Answer:

y = 1/3x + 3

Step-by-step explanation:

Slope form of a equation: y = mx + b. The slope is 1/3, so y = 1/3x + b

Solve for b by plugging the (x, y) coordinate into the equation.

y = 1/3x + b

2 = 1/3(-3) + b

2 = -3/3 + b

2 = -1 + b

b = 3

So your answer is y = 1/3x + 3

Answer:

19467.2

Step-by-step explanation:

Step 1:

25000 * (1 - .08) = 23000 end of year 1 value

Step 2:

23000 * (1 - .08) = 21,160 end of year 2 value

Step 3:

21,160 * (1-.08) = 19467.2 end of year 3 value

Answer:

Corresponding angles: <4 and < 8

Alternate Exterior Angles: <3 and <5

Same-side Interior Angles: <1 and <8

Step-by-step explanation:

Corresponding angles are angles on the same side of a line.

Answer:

yes

Step-by-step explanation:

nothing in the x is repeating

Answer:its 8

Step-by-step explanation:

The area of the solid shape can be obtained by dividing the surfaces into different parts and finding each area and summing all the areas together.

Surface 1----> rectangle with dimensions 4km by 2km

Surface 2 ---> rectangle with dimensions 8km by 2km

Surface 3 ----> rectangle with dimensions 8km by 2km

Surface 4 ----> triangle with a base 8km and a height of 3.9km

Surface 5 ----> triangle with base 8km and height 3.9km

The total surface area of the solid shape is

Option B is the answer.

The heights of the bars of a histogram corresponding to frequency values.

This is further explained below.

Generally, The number of instances of a recurring event that takes place in a certain amount of time is referred to as its frequency.

When compared to spatial frequency, it is sometimes referred to as temporal frequency, and when compared to angular frequency, it is sometimes referred to as ordinary frequency.

Both of these names stress the difference between the two types of frequency.

In conclusion, The heights of the individual bars in a histogram correspond to the frequency values being shown.

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Answer:

He will have $9.24 left

Step-by-step explanation:

15- 5.76= 9.24

Answer:

-22

Step-by-step explanation:

Step 1: Change 1 1/5 to improper fraction

11/5

Step 2: KCF (Keep Change Flip)

11/5(-10/1)

-110/5

Step 3: Simplify

-22

And we have our answer!

Answer:

x=90

Step-by-step explanation:

x/10-4=5

x/10=9

x=9*10

x=90

The value of x is 90.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x/10 - 4 = 5.

Now, solve for x

Add 4 both side

x/10 - 4 + 4 = 5 + 4

x/10  = 9

Now, Multiply both side by 10.

10x/10 = 9 x 10

x= 90

Hence, the value of x is 90.

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First, we have to understand the slope-intercept form.

\( \large \boxed{y = mx + b}\)

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

\( \large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}\)

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

Answer: 12

Step-by-step explanation: You're welcomed

The quotient of the decimal numbers 57.15 and 4.5 is 12.7.

The given decimal numbers are 57.15 and 4.5.

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Here, 57.15/4.5

4.5|57.15|12.7

     57.15
  _______
       0

Therefore, the quotient of the decimal numbers 57.15 and 4.5 is 12.7.

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Answer:

Rhombus

Step-by-step explanation:

it's like a diamond but it's a little bit thicker

Step-by-step explanation:

= \((a\sqrt{a} + 2a)+(\sqrt{a}+2 )\)

= \(a(\sqrt{a} + 2a)+(\sqrt{a}+2 )\)

= \((a+1)(\sqrt{a} +2)\)

please give me a brainliest answer

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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Answer:

0.05 in per min.

Step-by-step explanation:

We simply divide 6 by 120 to find our unit rate:

6 in/120 min = 1/20 = 0.05 in/1 min

Answer:

1/20 Inch per. Minute

Step-by-step explanation:

6/120 -->

6/1 x 1/120 --> cancel out 6 and 120 for 1 and 20 respectively

1/1 x 1/20 --> 1 x 1/20 => 1/20

Hope this helps!