will give BRAINLY! please help, easy question! please explain!

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

The historical rate of defective widgets produced by ACME Corporation was 7%. Approximately, 91.2 is the standard deviations is the point estimate from 7%.

In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values ​​tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wider range.

The standard deviation can be abbreviated SD, and is most commonly used in mathematical texts and equations with the lowercase Greek letter σ (sigma) for the population standard deviation, or the Latin letter s for the standard deviation of the sample.

The standard deviation of a random variable, sample, population, data set, or probability distribution is the square root of its variance. It is algebraically simpler than the mean absolute deviation, although less robust in practice. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same units as the data.

According to the Question:

Given that:

Defective widgets produced by ACME corporation was 7%

Total sample was 856 widgets.

Therefore, the Standard Deviation estimates from 7% is:

856 of 7% = 91.2

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Note that after the expression 2x³-5x²-19x+42, has been factorized, we have (x−2)(x+3)(2x−7).

Factorization or factoring in mathematics is the process of expressing a number or any mathematical object as a product of numerous factors, generally smaller or simpler objects of the same sort.

The polynomial 2x³-5x²-19x+42 can be factorized by using the rational root test. To apply this test first we need to find at least one rational zero.

In this case one rational zero is x=2.

This means that we can divide polynomial 2x³-5x²-19x+42 by x−2 (the factor theorem)

That is:

2x³-5x²-19x+42/ x-2

= 2x² - x - 21, this means that

2x³-5x²-19x+42 =  (2x² - x - 21) * (x-2)

From the above, our constants are given as:

a = 2, b = -1 and c = 21

Multiply the constant terms by the leading coefficient.

a *x = -42

Find out two number that multiply to a*c = -42 and add b = -1

Next we identify all pairs of numbers with a product of -42. They are:

Next we find all factor pair that sum up to b = -1. It is given as 6 +-7 which is identical to item 8 above.

Next, replace the middle term -1x with 6x-7x to get:

(2x²  −x−21) * (x-2) =(2x²  +6x−7x−21) * (x-2)

If we thus apply factoring by grouping, and factor 2x out of the first group and -7 out of the second group, we have: (2x-7) (x+3) (x-2).

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Full Question:

Factorise 2x³-5x²-19x+42

Answer:

3 because your domain should not repeat

If Jina used three times as many pounds of Type B coffee as Type A, then the amount of Type A coffee used is 27 pounds.

Let the number of pounds of type A coffee used in the blend be denoted by "x",

The shop used 3times as many pounds of type-B coffee,

So, the number of pounds of type B coffee used in the blend is = 3x.

The total cost of the blend is given as $503.55, and

We know that the cost of "type A" coffee is $5.75 per pound, and the cost of "type B" coffee is $4.3 per pound.

So, we can write the following equation,

⇒ 5.75x + 4.3(3x) = 503.55

Simplifying and solving for x, we get:

⇒ 5.75x + 12.9x = 503.55

⇒ 18.65x = 503.55

⇒ x = 27

Therefore, Jina used 27 pounds of type A coffee in the blend.

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Step-by-step explanation:

To Find : Their present ages

Consider,

\(x + y = 46\\x = 46 -y\)

→ (x+4) : (y +4) = 7:2

→ x+4/y+4 = 7/2

→ 46-y+4/y+4 = 7/2

→ 50-y/y+4 = 7/2

→7y +28 = 100-2y

→ 7y +2y = 100 -28

→ 9y = 72

→ y = 8

Now put y = 8 in eq(1) .

→ x = 46 - y

→ x = 46 - 8

→ x = 38

Mark Me Brainliest

Answer:

Greater

Step-by-step explanation:

Answer:

The answer is C i had it on my exam on edge

Step-by-step explanation:

Answer:

ffesfsEFesfSEfESfESfeSESEF

Step-by-step explanation:

fsefesfessfsEfaesgeaergae

The total number of possible outcomes when flipping a coin 8 times is 2^8 = 256.

a. To get exactly 6 heads, we need to choose 6 out of the 8 flips to be heads, and the remaining 2 flips to be tails. The number of ways to choose 6 out of 8 is given by the binomial coefficient (8 choose 6) = 28. Therefore, there are 28 possible outcomes with exactly 6 heads.

b. To get at least 3 heads, we need to count the number of outcomes with 3, 4, 5, 6, 7, or 8 heads. Using the same logic as part (a), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at least 3 heads.

Number of outcomes with 3 heads: (8 choose 3) = 56

Number of outcomes with 4 heads: (8 choose 4) = 70

Number of outcomes with 5 heads: (8 choose 5) = 56

Number of outcomes with 6 heads: (8 choose 6) = 28

Number of outcomes with 7 heads: (8 choose 7) = 8

Number of outcomes with 8 heads: (8 choose 8) = 1

Total number of outcomes with at least 3 heads = 56 + 70 + 56 + 28 + 8 + 1 = 219.

c. To get at most 6 heads, we need to count the number of outcomes with 0, 1, 2, 3, 4, 5, or 6 heads. Using the same logic as part (b), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at most 6 heads.

Number of outcomes with 0 heads: (8 choose 0) = 1

Number of outcomes with 1 head: (8 choose 1) = 8

Number of outcomes with 2 heads: (8 choose 2) = 28

Number of outcomes with 3 heads: (8 choose 3) = 56

Number of outcomes with 4 heads: (8 choose 4) = 70

Number of outcomes with 5 heads: (8 choose 5) = 56

Number of outcomes with 6 heads: (8 choose 6) = 28

Total number of outcomes with at most 6 heads = 1 + 8 + 28 + 56 + 70 + 56 + 28 = 247.

d. To get at most 2 heads, we need to count the number of outcomes with 0, 1, or 2 heads. Using the same logic as parts (b) and (c), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at most 2 heads.

Number of outcomes with 0 heads: (8 choose 0) = 1

Number of outcomes with 1 head: (8 choose 1) = 8

Number of outcomes with 2 heads: (8 choose 2) = 28

Total number of outcomes with at most 2 heads = 1 + 8 + 28 = 37.

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Answer:

ggg

Step-by-step The Rosetta stone is the code that revealed the mystery of Egyptian hieroglyphics allowing to the archeologist and to the scholars to read and interpreting inscriptions and reliefs like texts and tombs in a modern understanding. Thomas Young has shown first, then the French scholar Jean-François Champollion that provide the foundations of many information on the ancient Egyptian culture.

Finally in 1799, soldiers of Napoleon’s army found the Rosetta stone near the town of el-Rashid (Rosetta). Later, the stone became British property after  the Treaty of Alexandria (1801) and  has been presented in the British Museum since 1802.explanation:

Answer:

I do not know if this will help but this is what i wrote:

Napolean's army found the stone in July 15th, 1799 while digging the foundations of an addition to a fort near the town of Rashid (Rosetta) in the Nile delta. the officer in charge which was Pierre-Francois Bouchard realized how important the stone was and soon the stone was shipped to england and arrived in Portsmouth in February 1802.

Near the end of the 4th century AD people became less interested in deciphering the rosetta stone. Around the 19th century, some scholars figured out that they could use greek inscription that was on the stone to decipher the rosetta stone. Thomas young was the first to figure out a royal name which was Ptolemy.

One of the scholars named jean francois Champollion found out that the hieroglyphs recorded the sound of the egyptian language. Champollion made a big step for our understanding of the egyptians after he figured out some of the names of non-egyptian rulers. Chapollions roval, Thomas young, discovered what Champilloon had figured out when he announced it in a newspaper on friday september 27, 1822. Champollion also made a second discovery which actually drove him to figuring out a lot of the Rosetta stone in 1824, He figured out that the alphabetic signs were used not only for foreign names, but also for the egyptian language and names.

Step-by-step explanation:

i'm so sorry if this does not help

Answer:

7

Step-by-step explanation:

35-8-4-2=21

21/3=7

Answer:

7 pounds

Step-by-step explanation:

8+4+2=14

35-14=21

21/3=7

The difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

The correct answer is (d): In the z-test using rejection region(s), the test statistic is compared with critical values. The z-test using a P-value compares the P-value with the level of significance alpha.

The z-test is a statistical test used to assess whether a sample mean or proportion significantly differs from a hypothesized population mean or proportion. The difference between the z-test for mu (population mean) using rejection region(s) and the z-test for p (population proportion) using a P-value lies in the approach used to make the inference.

In the z-test using rejection region(s), the test statistic (calculated from the sample) is compared with critical values based on the chosen level of significance alpha. The critical values are determined from the standard normal distribution or a z-table, and if the test statistic falls within the rejection region (beyond the critical values), the null hypothesis is rejected.

On the other hand, in the z-test for p using a P-value, the test statistic is compared with the P-value. The P-value represents the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming the null hypothesis is true. If the P-value is smaller than the chosen level of significance alpha, the null hypothesis is rejected.

Therefore, the difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

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Step-by-step explanation:

given

g(x) = 5x + 7

g(1) = 5 * 1 + 7

= 5 + 7

= 12

Hope it will help :)

Answer:

12

Step-by-step explanation:

5 x 1=5

5+7=12

The length of the radius of Circle A is 20 units.

What is a circle?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are equidistant from a fixed center point. The fixed center point is often denoted as the center of the circle.

What is an arc?

A circle's curved edge is known as an arc. It is made up of the circle's two ends and the curve that connects them. In other words, an arc is a segment of a circle's circumference.

If the length of arc BC in Circle A is 20π units, we can use the formula for the circumference of a circle to find the radius.

The following is the formula for a circle's circumference:

C = 2πr

where C represents the circumference and r represents the radius.

In this case, we know that the length of arc BC is 20 units times π units. The circumference of the circle is equal to the length of the arc BC, so we have:

C = 20π

Now we can equate this to the formula for the circumference:

20π = 2πr

To find the radius, we can solve for r by dividing both sides of the equation by 2π:

r = (20π)/(2π)

Simplifying the expression:

r = 10

Therefore, the length of the radius of Circle A is 10 units.

Therefore, the length of the radius of Circle A is 20 units.

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Answer:

Step-by-step explanation:

(2x + 1/3x)³

= (7/3x)³

= 343/27 x³

The growth rate for the population of the rabbits each year is 20%

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Exponential exponential is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the expression \(4(1.20)^t\) represents the population of rabbits each year. If x% represents the growth rate, hence:

b = 1.20

growth rate = 1.20 - 1 = 0.20

growth rate = 20%

The growth rate is 20%

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a. The length of one side of the cube  shape x ≈ 3.633 ft

b. The length of one side of the cube  shape is roughly 3.633 feet.

c. The case has a more noteworthy surface region than the block by roughly 10.325 square feet.

Let x be the length of one side of the cube. Since the cube has equal length, width, and height, its volume is  = x^3.

The volume of the box  = (4 feet 5 in) * (3 feet 2 in) * (4 feet 3 in),

which can be converted to feet as Volume of box =

(4 + 5/12) * (3 + 2/12) * (4 + 3/12) = 4.3135 * 3.1667 * 4.25 =

55.0448 cubic feet.

Since the cube has the same volume as the box, we can set Volume of cube = Volume of box and

solve for x:

\(x^3 = 55.0448\\x = (55.0448)^{1/3}\\\)

x ≈ 3.633 ft

b. The length of one side of the cube is approximately 3.633 feet.

c. We must determine the surface area of each to compare the cube's and box's surfaces. A cube with side length x has the surface area given by

Surface area of cube = \(6x^2\), and

Surface area of a box = 2lw + 2lh + 2wh is the formula for the surface area of a box with the dimensions l, w, and h. Based on the box's dimensions, we have:

Surface area of cube = \(6(3.633)^2\) ≈ 79.342 sq. feet

Surface area of box = 2(4.4167 * 3.25) + 2(4.4167 * 4.25) + 2(3.25 * 4.25) ≈ 89.667 sq. feet

By about 10.325 square feet, the surface area of the box is greater than that of the cube.

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Answer:

the first one is 1.667

Step-by-step explanation:

5/3=1.667

10/6=1.667

and so on

Sorry i dont know the second one

The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples \(x < 20\)

\(= z = 20 - 21/2.9/\sqrt{25} \\= z = -1/2.9/5\\= z = -1.72414\\\)

P-value from Z-Table:

\(P(x < 20) = 0.042341\)

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When the level of significance is 0.07, the corresponding confidence level is 93%.

The level of significance (α) in statistical hypothesis testing represents the probability of rejecting the null hypothesis when it is actually true. In contrast, the confidence level represents the degree of certainty or reliability we have in the estimated results from a statistical analysis.

The confidence level is calculated as the complement of the level of significance, subtracted from 1. In this case, if the level of significance is 0.07, we subtract it from 1 to find the confidence level:

Confidence level = 1 - level of significance

Confidence level = 1 - 0.07

Confidence level = 0.93 or 93%

Therefore, when the level of significance is 0.07, the corresponding confidence level is 93%. This means that we can be 93% confident that the estimated results from a statistical analysis will fall within the desired range, while allowing for a 7% chance of Type I error (rejecting the null hypothesis when it is true).

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Answer:

Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.

Answer:

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

The probability of first rolling a 1, then a 5, will be \(\frac{1}{36}\).

To find the probability of getting a 1 the first time and a 5 the second time:

Probability of getting 1 in 1st time = \(\frac{1}{6}\)

Probability of getting 5 in 2nd time = \(\frac{1}{6}\)

The probability of first rolling a 1, then a 5, will be = \(\frac{1}{6}\) × \(\frac{1}{6}\)

\(= \frac{1}{36}\)

Therefore, the probability of first rolling a 1, then a 5, will be \(\frac{1}{36}\).

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Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

The probability to form a triangle using the endpoints of the sticks is 3/35 or approximately 0.0857 (rounded to four decimal places).

Length of the seven sticks in inches = 2, 3, 5, 7, 11, 13, and 17.

Number of sticks selected randomly = 3

To determine the probability of forming a triangle by randomly selecting three sticks from the given set,

Consider the triangle inequality theorem.

According to the theorem, for a triangle to be formed,

The sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

Let us analyze the possibilities,

Selecting sticks with lengths 2, 3, and 5,

In this case, we can form a triangle because 2 + 3 > 5, 3 + 5 > 2, and 5 + 2 > 3.

Selecting sticks with lengths 2, 3, and any other stick greater than 5,

As the longest stick is greater than the sum of the two smaller sticks (2 + 3), we can form a triangle.

Selecting sticks with lengths 2, 3, and the longest stick (17),

In this case, we cannot form a triangle because 2 + 3 is not greater than 17.

In total, there are 3 possible combinations that can form a triangle out of the total 7C3 = 35 combinations selecting 3 sticks out of 7.

Probability

= favourable outcomes / total number of outcomes

= 3/ 35

Therefore, the probability of forming a triangle is 3/35.

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Answer:

\(x = 13 ~~ \text{and}~~ y= 10\)

Step-by-step explanation:

\(~~~~~~2.31 \times 10^x = 2200 \times 1.05 \times 10^y\\\\\implies 2.31 \times 10^x = 2310 \times 10^y\\\\\implies \dfrac{10^x}{10^y} = \dfrac{2310}{2.31}\\\\\implies 10^{x-y}=1000\\\\\implies 10^{x-y} = 10^3\\\\\implies x - y = 3\)

\(\text{If x = 13 and y = 10 then the difference will be 3.}\)

a. The equilibrium solution (y = 0) is stable.

b. The limit of \(\( y(t) \)\) as \(\( t \)\) approaches infinity is 0.

A function's derivative with respect to an independent variable is what is referred to as differentiation. In calculus, differentiation can be used to calculate the function per unit change in the independent variable. Let y = f(x) represent the function of x.

The nonlinear differential equation is given as:

\(\( \frac{{dy}}{{dt}} = -y^2 \)\)

a) Classifying Equilibrium Solutions:

To find the equilibrium solutions, we set the derivative equal to zero:

\(\( -y^2 = 0 \)\)

The only solution is (y = 0). Therefore, the equilibrium solution is (y = 0).

To classify the stability of the equilibrium solution, we examine the sign of the derivative \(\( \frac{{dy}}{{dt}} \)\) around the equilibrium point.

For \(\( y < 0 \), \( \frac{{dy}}{{dt}} > 0 \)\), indicating that the function is increasing and moving away from the equilibrium solution.

For \(\( y > 0 \), \( \frac{{dy}}{{dt}} < 0 \)\), indicating that the function is decreasing and moving towards the equilibrium solution.

Hence, the equilibrium solution (y = 0) is stable.

b) Determining the Limit:

Given that \(\( y(0) = 2 \)\), we need to determine the limit of \(\( y(t) \) as \( t \)\) approaches infinity, if it exists.

The differential equation \(\( \frac{{dy}}{{dt}} = -y^2 \)\) can be separated and solved:

\(\( \frac{{dy}}{{y^2}} = -dt \)\)

Integrating both sides:

\(\( \int \frac{{dy}}{{y^2}} = -\int dt \)\)

\(\( -\frac{1}{y} = -t + C \)\)

Simplifying, we have:

\(\( \frac{1}{y} = t + C \)\)

Rearranging the equation:

\(\( y = \frac{1}{t + C} \)\)

Since we are given \(\( y(0) = 2 \)\), we can substitute this into the equation to find the value of (C):

\(\( 2 = \frac{1}{0 + C} \)\)

Solving for \(\( C \)\), we get \(\( C = \frac{1}{2} \)\).

Therefore, the solution to the differential equation is:

\(\( y = \frac{1}{t + \frac{1}{2}} \)\)

Taking the limit as (t) approaches infinity:

\(\( \lim_{{t \to \infty}} \frac{1}{t + \frac{1}{2}} = 0 \)\)

Hence, the limit of \(\( y(t) \)\) as \(\( t \)\) approaches infinity is 0.

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Answer:

14. y= 3/5x-2

15. y= -1x-2

17. -1/2

Step-by-step explanation:

Since you have a point and a slope put it in point-slope form first.

Point-slope form: y-y1=m(x-x1)

Then solve for y.

Then you'll get the slope-intercept form.

For number 17 use the slope-intercept form y=mx+b

rise/run= m= y2-y1/x2-x1