weekly wages at a certain factory are normally distributed woth a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $450 and $500​

We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)

We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.

So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).

Answer:

666/18=37miles/hour

it would take 1 hour to drive 37 miles

Answer:

second one . the ratio is 3/4 boys to girls and we have 175 girls . then you must put 175 in same level of 4. the same like answer 2 as it mention 3/4 = b/175.

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

The geometric sequence is option(D) i.e, 1, 3, 9, 27, 81,..

What is Geometric sequence ?

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

In this, the last option have the geometric sequence. since, there is a common ration between each term. If you multiplying the previous term in the sequence by 3 gives the next term.

Hence, The geometric sequence is 1, 3, 9, 27, 81,

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Before offering imaging programs, practitioners need to be aware of the reasons why exercise participants are doing it.

When we use imagery, we simulate an actual situation in our minds rather than actually going through it. It differs significantly from daydreaming or simply thinking about anything because it is a cognitive activity that is consciously used by an athlete or exerciser to accomplish a certain task.

In this study, an analysis of secondary data from a recently published randomized controlled trial. In a community-based, group-mediated physical activity intervention for sedentary people 50 and older, the Active Adult Mentoring Program (AAMP) tested the effectiveness of peer volunteers as delivery agents. The AAMP was built on the social-cognitive and self-determination theories, and mentors were trained to lead discussions in groups that would help reinforce key ideas from both theories.

The adaptability of images makes it useful at different times and in varied settings. Athletes employ imagery most frequently right before a competition or during practice, but they do so during the entire season, including the off-season. Similar to how it's reported by athletes, visualization is frequently used before an activity session. For example, it would be more effective for a swimmer to mentally practice her race start by adopting the proper position on the starting block at the swimming pool, as opposed to sitting on a chair at home. Both types of people will typically imagine within the sport and exercise environment where the benefits of this technique are maximized.

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Using the normal distribution, it is found that this type of fishing line have a breaking strength less than the advertised 6 pounds 27.76% of the time.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the following rule:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the breaking strengths are given as follows:

[tex]\mu = 6.44, \sigma = 0.75[/tex]

The proportion of times with breaking strength less than 6 inches is given by the p-value of Z when X = 6, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (6 - 6.44)/0.75

Z = -0.59

Z = -0.59 has a p-value of 0.2776.

Hence the percentage is of 27.76%.

The question is:

How often will this type of fishing line have a breaking strength less than the advertised 6 pounds.

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Answer:

just use calculator ,88 is answer and hi

Step-by-step explanation:

okay so basically you do it likr jormally but you drag the decimal down

1 1

×0.08

____

0.88

Answer:

im mexican im not good at math

Answer

Average change in sea level per minute = -24.5 ft/minute

Explanation

The average change in sea level each minute is given as

For this question,

Sea level changes = -73.5 ft.

Time Taken = 3 minutes.

Average change in sea level per minute = (-73.5/3) = -24.5 ft/minute

Hope this Helps!!!

The most appropriate choice for simultaneous linear equation will be given by -

x = 1, y = 1

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

y = −2x + 3

y = 5x - 4

So, -2x + 3 = 5x - 4

5x  + 2x = 3 + 4

7x = 7

[tex]x = \frac{7}{7}\\x = 1[/tex]

Putting the value of x in the first equation'

y = [tex]- 2\times 1 +3[/tex]

y = 1

So, x = 1, y = 1

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Answer:

y=2x+18

Step-by-step explanation:

y=mx+c --> let's solve now:

y-4=2x+14

y=2x+18

the "m" aka slope is 2.

the "y int." is 18

2) Supplementary Angles

3) Same-side Interior Angles Postulate

4) Substitution Property

5) Subtraction Property of Equality

Given: l || m

Prove:

∠4 = ∠6

2) m∠3 + m∠4 = 180

This is because angles 3 and 4 are supplementary as they lie on a straight line. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they form a linear angle when combined.

3) m∠3 + m∠6 = 180

By the Same-side Interior Angles Postulate when a transversal connects two parallel lines, the interior angles on the same side are supplementary. Hence angles 3 and 6 are supplementary.

4) m∠3 + m∠4 = m∠3 + m∠6

Using Substitution Property we can replace angle 4 with angle 6, the value or sum will still remain the same i.e. 180.

5) m∠4 = m∠6

By the Subtraction Property of Equality, we can subtract the angle 3 from both sides of the equation in part(4) and the resultant equation will be m∠4 = m∠6.

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Answer:

slope = 2/7

y-intercept = -16/7

Step-by-step explanation:

We rewrite this equation in slope-intercept form as follows:

[tex] - 2x + 7y = - 16[/tex]

[tex]7y = 2x - 16[/tex]

[tex]y = \frac{2}{7} x - \frac{16}{7} [/tex]

The slope is 2/7, and the y-intercept is -16/7.

    Quadratic applications include: Horizontal Motion Issues For a moving object, one uses the formula h = -16t2 + vt+s. The following is represented by the variables: h is a symbol for the object's height when it is moving.

   h = v 0 y 2 2 g This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

   If v is the starting speed, g is the gravitational acceleration, and H is the highest point that may be reached in meters, then is the initial speed's angle from the horizontal plane (radians or degrees). The equation H = v 0 2 s I n 2 2 g yields the projectile's greatest height

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Answer:

7 lbs

Step-by-step explanation:

75 percent of 4 lbs is 3 lbs

4+3=7

Answer:7 pounds

Step-by-step explanation:khan

Answer:

x = -5

Step-by-step explanation:

4x + 2 = -18

or

2 + 4x = -18

(Subtract 2 from both sides) -20 = 4x

(Then you divide by 4) so you get... x = -5

Answer:

2 + 4x = -18

Step-by-step explanation:

Two more than: +2

4 times a number: 4x

is -18: = -18

Answer:

The Hendrix family pool has been going down for 3 and a half hours

The distance between the two centers is √[65] / 2

Incenter and circumcenter of the triangle:

Incenter:

The intersection point of all three interior angle bisectors of the triangle is known as the Incenter of the triangle. It is the center of the large circle that can fit in the triangle.

Circumcenter:

The point of intersection of perpendicular bisectors of three sides of a triangle. It will be equidistant from the three vertices of a triangle.

Here we have,

The sides of a triangle are 5, 12, 13

Let the given triangle is triangle ABC

then AB = 5, BC = 13 and AC = 12

[ For more understanding observe the given picture]

As we know (5, 12, 13) is a triplet

then the Given triangle is a right-angled triangle

Let us assume that the triangle is in a graph as the right angle at the origin then the vertices of the triangle are  

A = (0, 0);  B = (0, 5) and C = (12, 0)  

Now find the incenter and circumcenters of the triangle using the above information

The incenter of the triangle

=>  (x, y) =   [tex][ \frac{0(BC) + 0(AC)+ 12(AB) }{AB+AC+AB}, \frac{0(BC) + 5(AC) + 0(AB) }{AB+AC+AB} ][/tex]    

=>  (x, y) =   [tex][ \frac{0(13) + 0(12)+ 12(5) }{5+12+13}, \frac{0(13) + 5(12) + 0(5) }{5+12+13} ][/tex]

=>  (x, y) =  [tex][ \frac{60 }{30}, \frac{60 }{30} ][/tex] = (2, 2)

The circumcenter of the triangle

As we know in a right-angled triangle,

Circumcenter = Midpoint of Hypotenuse

= Midpoint of B(0, 5) and C (12, 0)  

=  [ (12 + 0) / 2 , (5 + 0) /2 ]

= (6, 5/2)  

From the above calculations,

The incenter of the triangle is (2, 2)

The circumcenter of triangle is (6, 5/2)    

Distance between two centers = √ [ ( 6 - 2)²  + ( 5/2 - 2)² ]  

= √[ (4)² + (1/2)² ]

= √ [16 + 1/4]  

= √ [65] / 2

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Check the picture below.

The sum of 25 and 35 using their greatest common factor is 60.

It should be noted that factors simply means the numbers that.van be multiplied with another number which is also a factor to get the original number.

In this case, it should be noted that the sum of 25 + 25 based on their factor will be:

= 5(5) + 5(7)

= 5(12)

= 60

The sum is 60.

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The roots of the quadratic equation  x² + x + 2 = 0  is [tex]-1+\sqrt{-7} /2[/tex] and[tex]-1-\sqrt{-7} /2[/tex]

Roots: In mathematics, a solution to an equation, usually expressed as a number or an algebraic formula. The square root of a number is a value that can be multiplied by itself to give the original number. The square root of 9 is 3, because when 3 is multiplied by itself, you get 9.

given quadratic equation is,  x² + x + 2 = 0

to find the roots we have formula method ,

x=[tex]-b+\sqrt{b^2-4ac}[/tex][tex]/2a[/tex]

x=[tex]-b-\sqrt{b^2-4ac}[/tex][tex]/2a[/tex]

a=1, b=1 and c=2

sub the values in the above equation

x=[tex]-1+[/tex][tex]\sqrt{1-4(1)(2)}[/tex][tex]/2[/tex]

x=[tex]-1-\sqrt{1-4(1)(2)} /2[/tex]

x= [tex]-1+\sqrt{-7}/2[/tex] and x=[tex]-1-\sqrt{-7} /2[/tex] are the roots of the quadratic equation

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The number of hours of rain is 34.

The depth of the creek before the rain was 3 feet. There was a flood last month. The depth of the creek rose to 20 feet after the flood. The weather man said that it rained for 0.5 feet every hour.

The rise in the depth of the creek is the difference between the final and initial depths.

D = 20 - 3 = 17 feet

The number of hours for which it rained is the result of the division of the rise in the depth by the rate of rain.

N = 17/0.5

N = 34 hours

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The equation of a circle with its center at the origin and passes through the point (5,0):   x2+y2=25

the equation of a circle of with the center (2,3) and containing the point (3,2): x2+y2=2

Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.

(x-h)^2+(y-k)^2=r2

                          is the equation for a circle with center (h,k) and radius (r).

This yields the more well-known equation

x2+y2=r2

             for a circle centered at the origin.

Since we are aware that the circle's center is at its origin, i.e.

This fact, together with the circle's intersection point (5,0), can be used to determine the radius. The distance formula is used for this.

r=√(x2−x1)^2+(y2−y1)^2

In light of (0,0) and (5,0):

r=√(5−0)^2+(0−0)^2

=√25+0

√25=5

⇒ r=5

Therefore, x^2+y^2=(5)^2

                   x2+y2=25 is the equation for the circle.

(x-h)^2+(y-k)^2=r2 is the equation for a circle with center (h,k) and radius (r).

This yields the more well-known equation x2+y2=r2 for a circle centered at the (2,3).

Since we are aware that the circle's center is at (2,3), i.e.

This fact, together with the circle's intersection point (3,2), can be used to determine the radius. The distance formula is used for this.

r=√(x^2−x1)^2+(y2−y1)^2

In light of (2,3) and (3,2):

r=√(3−2)^2+(2−3)^2

r = √(1)^2+(-1)^2

= √1+1

=√2

⇒ r=√2

Therefore, x2+y2=(√2)^2

                   x2+y2=2 is the equation for the circle.

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The number of cups of dog food fed to the dog per day is 1.5 cups.

Since the same quantity of dog food is fed to the dog per day, the decrease in the cups of dog food can be modelled with a linear equation. A linear equation is an equation that has one variable that is raised to the power of one.

Number of cups of dog food fed to the dog per day = (cups left after the 8th day - cups left after the 3rd day) / change in the number of days

(108 - 115.5) / (8 - 5)

4.5 / 3 = 1.5 cups

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The area, in square inches, of the larger triangle is 12.

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Answer:38.4 times 3 divided by 2

Step-by-step explanation:

Using the product rule of power, the expression, x^7 / x^4 = x³.

If the bases are the same for two numbers having powers, the product rule of power or exponent states that we are to subtract their powers.

For example, if we are given m³ divide by m², that is m³ / m², therefore we would have:

m³ / m² = m^(3 - 2)

m³ / m² = m [the power will now be 1]

In the same vein, we can simplify "x to the power of 7 divided by x to the power of 4" as shown below:

x^7 / x^4 = x^(7 - 4) [based on the product rule of powers or exponents]

x^7 / x^4 = x³

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