30 point question! WILL AWARD BRAINLIEST!

A ball is thrown across a playing field from a height of h = 5 ft above the ground at an angle of 45° to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function
y = − (32/(20^2))x2 + x + 5


Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.)

Answer:

0.963

Step-by-step explanation:

It’s correct

Answer:

a

[tex]P(X > 7) = 0.5[/tex]

b

[tex]P(X < 3) = -0.5[/tex]

c

[tex]x = 6.2 \ hours[/tex]

d

[tex]x_1 = 8 \ hours[/tex]

e

Mean [tex]\mu = 7[/tex]

Standard deviation [tex]s \approx 1.1547[/tex]  

Step-by-step explanation:

From the question we are told that

  The amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours

Generally the probability that it takes the repairman more than 7 hours to fix a furnace is mathematically represented as

     [tex]P(X > 7) = \frac{9- 7}{9-5}[/tex]

=>[tex]P(X > 7) = 0.5[/tex]

Generally the probability that a randomly selected furnace repair requires less than 3 hours. is mathematically represented as

     [tex]P(X < 3) = \frac{3 -5}{9-5}[/tex]

=>[tex]P(X < 3) = -0.5[/tex]

Generally the 30th percentile of furnace repair times is mathematically represented as

     [tex]30^{th} \ percentile = \frac{x - 5}{9-5}[/tex]

=>  [tex]0.3 = \frac{x - 5}{9-5}[/tex]

=>  [tex]x = 6.2 \ hours[/tex]

Generally the time taken for the longest 25% of furnace repair is mathematically evaluated as

  [tex]75^{th} \ percentile = \frac{x_1 - 5}{9-5}[/tex]

Here making use of the [tex]75^{th}[/tex] because we are considering duration that fall with the top [tex]25^{th}[/tex]

=> [tex]0.75 = \frac{x_1 - 5}{9-5}[/tex]

=> [tex]x_1 = 8 \ hours[/tex]

Generally the mean is mathematically represented as

          [tex]\mu = \frac{5 + 9 }{2}[/tex]

=>        [tex]\mu = 7[/tex]

Generally the standard deviation is mathematically represented as

     [tex]s = \sqrt{ \frac{(9- 5)^2}{12} }[/tex]  

=>   [tex]s \approx 1.1547[/tex]  

The length of LA in the triangle will be 8.

From the information given, it was stated that both the triangles are similar.

In this situation, the length of LA will be:

= (12 × 4)/6

= 48/6

= 8

Therefore, the length of LA in the triangle will be 8.

Learn more about triangles on:

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#SPJ6

Answer/Step-by-step explanation:

Given:

m<3 = 54°

m<2 = right angle

a. m<1 + m<2 + m<3 = 180° (angles in a straight line)

m<1 + 90° + 54° = 180° (substitution)

m<1 + 144° = 180°

m<1 = 180° - 144°

m<1 = 36°

b. m<2 = 90° (right angle)

c. m<4 = m<1 (vertical angles)

m<4 = 36° (substitution)

d. m<5 = m<2 (vertical angles)

m<5 = 90°

e. m<6 = m<3 (vertical angles)

m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles)

m<7 + 54° = 180° (substitution)

m<7 = 180 - 54

m<7 = 126°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 54°

h. m<9 = m<7 (vertical angles)

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36° (substitution)

k. m<12 + m<11 = 180° (linear pair)

m<12 + 36° = 180° (substitution)

m<12 = 180° - 36°

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144° (substitution)

Answer:

a) Function A(x) =  (60*x - 1/2*x²)

b)Side length     x = 60 m      the other side   y = 30 m

c) A (max)  = 1800 m²

Step-by-step explanation:

Area of rectangular garden with length  " x " and wide "y"

A = x*y        

Perimeter of rectangular area ( only three sides 2*y and 1*x)

P(r)  = 2*y + x

P(r) = 120 = 2*y + x

y = ( 120 - x ) /2

Area of the garden as function of x is

A(x) = [( 120 - x ) /2]*x          ⇒     A(x) = (60*x - 1/2*x²)

Taking derivatives on both sides of the equation:

A´(x) = 60 - x

A´(x)  = 0            60  -  x  = 0

x = 60 m

Then

y = ( 120  -  x ) / 2                ⇒   y = (120 - 60 )/2

y = 30 m

A(max) = 30 * 60

A(max) = 1800 m²

The side length (x) is 30 m each

The maximum area is 1800 m².

He has 120 meters for fencing . He use it to form 3 sides of a rectangular garden.

Therefore,

let

the side parallel to the house = y

the sides perpendicular to the house = x (2 sides)

Therefore,

perimeter = 2x + y

120 = 2x + y

y = 120 - 2x

area = x(120 - 2x)

area = 120x - 2x²

area = -2x² + 120x

The leading coefficient is less than zero, therefore, the parabola is facing downward.  The maximum area is at (h, k).

where

h = - b / 2a

a = -2

b = 120

h = - 120 / 2 × -2

h = 120 / 4 = 30

The sides perpendicular to the building  = 30 meter

The side parallel to the building = 120 - 2(30) = 60 meters

The maximum area = 60 × 30 = 1800 m²

read more: https://brainly.com/question/8602676?referrer=searchResults

Answer:

3.1 to the nearest tenth is 3.1.

Step-by-step explanation:

The first decimal place is the tenths place. Hope this helps!

3.1 because 1 can't be raised to the next number

Answer:

$172

Step-by-step explanation:

Ok, So $1430 is the total amount PLUS fees and insurance. So 18 months at $89 per month. so do 18*89=1602. $1602-$1430=$172.

So She paid insurance and fees $172.

Answer:

3x=x+12 This is not quadratic. This is linear in x. (3x-x) = 12 (bringing x from the right to the left, change side then change sign, in other words add - x to both the sides.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

Step-by-step explanation:

Find the table attached

a) Given

F(x) = 6/x-2

When x = -4

F(-4) = 6/-4-2

F(-4) = 6/-6

F(-4) = -1

F(x) = 6/x-2

When x = -3

F(-3) = 6/-3-2

F(-3) = 6/-5

F(-3) = -1.2

F(x) = 6/x-2

When x = -2

F(-2) = 6/-2-2

F(-2) = 6/-4

F(-2) = -1.5

F(x) = 6/x-2

When x = -1

F(-1) = 6/-1-2

F(-1) = 6/-3

F(-1) = -2.0

F(x) = 6/x-2

When x = 0

F(0) = 6/0-2

F(0) = 6/-2

F(0) = -3

F(x) = 6/x-2

When x = 1

F(1) = 6/1-2

F(1) = 6/-1

F(1) = -6

F(x) = 6/x-2

When x = 2

F(2) = 6/2-2

F(2) = 6/0

F(2) = infty

F(x) = 6/x-2

When x = 3

F(3) = 6/3-2

F(3) = 6/1

F(3) = 6

F(x) = 6/x-2

When x = 4

F(4) = 6/4-2

F(4) = 6/2

F(4) = 3

b) Given

r(x)=6x+12/x^-4

When x = -4

r(-4) = 6(-4)+12/(-4)^-4

r(-4) = -24+12/(1/256)

r(-4) = -12(256)

r(-4) = -3072

When x = -3

r(-3) = 6(-3)+12/(-3)^-4

r(-3) = -18+12/(1/81)

r(-3) = -6(81)

r(-3) = -486

When x = -2

r(-2) = 6(-2)+12/(-2)^-4

r(-2) = -12+12/(1/16)

r(-2) = -0(16)

r(-2) = 0

When x = -1

r(-1) = 6(-1)+12/(-1)^-4

r(-1) = -6+12/(1)

r(-1) = -6+12

r(-1) = 6

When x = 0

r(0) = 6(0)+12/(0)^-4

r(0) = 0+12/0

r(0) = 12/0

r(0) = infty

When x = 1

r(1) = 6(1)+12/(1)^-4

r(1) = 6+12/1

r(1) = 18(1)

r(1) = 18

When x = 2

r(2) = 6(2)+12/(2)^-4

r(2) = 12+12/1/16

r(2) = 24(16)

r(2) = 384

When x = 3

r(3) = 6(3)+12/(3)^-4

r(3) = 18+12/1/81

r(3) = 30(81)

r(3) = 2430

When x = 4

r(4) = 6(4)+12/(4)^-4

r(4) = 24+12/1/256

r(4) = 36(256)

r(4) = 9216

We want to construct tables of values for the two given functions.

The tables are:

a)

[tex]\left[\begin{array}{ccc}x&y\\-4&-7/2\\-3&-4\\-2&-5\\-1&-8\\0&NaN\\1&4\\2&1\\3&0\\4&-1/2\end{array}\right][/tex]

b)

[tex]\left[\begin{array}{ccc}x&y\\-4&3,048\\-3&954\\-2&180\\-1&6\\0&0\\1&18\\2&204\\3&990\\4&3,096\end{array}\right][/tex]

A table will be something like:

[tex]\left[\begin{array}{ccc}x&y\\-4&\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\\4&\end{array}\right][/tex]

Where the values of x go from -4 to 4.

To complete the tables, we just need to evaluate the functions in each one of the x-values at the left, and the outcome will be placed at the right.

a) f(x) = 6/x - 2

Now we just need to evaluate the function in all the given points:

f(-4) = 6/(-4) - 2 =  -3/2 - 4/2 = -7/2

f(-3) = 6/-3 - 2 = -4

f(-2) = 6/-2 - 2 = -5

f(-1) = 6/-1 - 2 = -8

f(0) is undefined, as we can't divide by zero, here we can write NaN (Not a number).

f(1) = 6/1 - 2 = 4

f(2) = 6/2 - 2 = 1

f(3) = 6/3 - 2 = 0

f(4) = 6/4 - 2 = -1/2

Now we put all of these in the correspondent place of the table:

[tex]\left[\begin{array}{ccc}x&y\\-4&-7/2\\-3&-4\\-2&-5\\-1&-8\\0&NaN\\1&4\\2&1\\3&0\\4&-1/2\end{array}\right][/tex]

b) We do the same thing, here we have:

r(x) = 6*x + 12/x^-4 = 6*x + 12*x^4

Now we evaluate this in the given values:

r(-4) = 6*(-4) + 12*(-4)^4 = 3,048

r(3) = 6*(-3) + 12*(-3)^4 = 954

r(-2) = 6*(-2) + 12*(-2)^4 = 180

r(-1) = 6*(-1) + 12*(-1)^4 = 6

r(0) = 6*0 + 120^4 = 0

r(1) = 6*1 + 12*1^4 = 18

r(2) = 6*2 + 12*2^4 = 204

r(3) = 6*3 + 12*3^4 = 990

r(4) = 6*4 + 12*4^4 = 3,096

Now we place these values in the correspondent place on the table:

[tex]\left[\begin{array}{ccc}x&y\\-4&3,048\\-3&954\\-2&180\\-1&6\\0&0\\1&18\\2&204\\3&990\\4&3,096\end{array}\right][/tex]

These are our two tables.

If you want to learn more, you can read.

https://brainly.com/question/8629807

Answer:

2

Step-by-step explanation:

m=y2-y1/x2-x1

13-5=8

6-2=4

8/4=2

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

The value of 7 in 2,751 is 700 since 7 is in the hundred place in the value

The value of 7 in 7,433 is 7000, since 7 is in the thousand place in the value.

In order to know how many times the 7 in 2,751 is more than 7 in 7,433, we will take the ratio of 700 to 7000 as shown:

ratio = 700:7000

ratio = 700/7000

ratio = 0.1

Hence the value of the 7 in 2,751 is 0.1 times the value of the 7 in 7433

Answer:

I believe it’s 1/10 but I’m not to sure

Step-by-step explanation:

Answer:

the answer should be B:12/5

Answer:9,594 thats tha answer

Answer:

Single discount rates are one off discounts which are given by seller on certain products with certain conditions which most be met for it to apply such conditions can be for buyers who pay in cash, buyers who buy in bulks e.g buy 10 get one free, or for every 5 bought you get a 5% discount e.t.c.

This is related to chain discount because its also a series of discount which is allowed for list price of products or services.

Answer:

2 and 7: Alternate exterior

3 and 7: Corresponding

3 and 5: Same side interior

3 and 6: Alternate interior

Answer:

217

Step-by-step explanation:

155 + 40% = 217

Answer:

0.01?

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

We have the perimeter of the square, which is 40, and 40/4=10. In this picture, we see that the circle's diameter is the same as the length of one side of the square. Therefore, the diameter of the circle is 10. The are formula for circles is [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius. The radius of the circle is just the diameter divided by 2, and 10/2=5. Now, [tex]5^2[/tex] is 25, and [tex]3.14\cdot25=78.5[/tex].

Answer:

It is price between 1~100 lol

Step-by-step explanation:

Answer: y = 45

Step-by-step explanation:

the two angles will be supplementary to each other

4y - 45 + y = 180

Combine like terms

5y - 45 = 180

Add 45 to both sides

5y = 225

Divide both sides by 5

y = 45

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)

Answer:

12 weeks

Step-by-step explanation:

It will take Jackie 12 weeks to buy her car because she earns 172 per week.

If you divide 2000 buy 172 you end up with 11.6

if you multiply 11 and 172 you get 1,892 which is just a little under 2000

if you add another week = 172$ you will arrive at 2064 which is enough to buy  

her car.

Hope this helps.

Answer:

1) if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.

2) a standard deviation of 6.0843 results in a 1.07% replacement rate

3) using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit

Step-by-step explanation:

based on the given data;

x will represent the random variable such that the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months

so

x → N( U = 45, ∝ = 5.6)

Under the warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charges to the consumer.

if the battery fails after 31 months but within 54 months, the manufacturer provides a prostrated credit towards the purchase of anew battery

1) If the manufacturer's assumptions are correct,

p(x < 3) = p( [x-u / ∝ ] < [ 31-45 / 5.6] )

= p( z < -2.5 )

using the standard normal table,

value of z = 0.0062 ≈ 0.62%

so if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.

2)

The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect, so a standard deviation of ? results in a 1.07%

so lets say;

p ( x < 31 ) = ( 1.07%) = 0.0107

p ( [x-u / ∝ ] < [ 31-45 / ∝] ) = 0.0107

now from the standard table

-2.301 is 1.07%

so

( 31 - 45 / ∝ ) = -2.301

-14 / ∝ = -2.301

∝ = -14 / - 2.301

∝ = 6.0843

therefore a standard deviation of 6.0843 results in a 1.07% replacement rate

3)

Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

p( 31 < x < 54 ) = p ( [31 - u / ∝ ] < [ x-u / ∝]  < [ 54 - 45 / ∝] )

= p ( [31 - 45 / 6.0843 ] < [ x-u / ∝]  < [ 54 - 45 / 6.0843] )

= p ( -2.301 < z < 1.4792 )

= p(Z < 1.5) - p(Z < -2.3)

= 0.9393 - 0.0108

= 0.919 ≈ 91.9%

therefore using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit

Answer:

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144

Answer: 60

Step-by-step explanation:

If he sells 16 each day after 5 days he would sell 80 leaving him with 60 bushels of wheat

Answer:

2020

Step-by-step explanation:

101 • 21 = 2121

2121 - 101 = 2020

Answer:

9.8

Can i get brainliest please?

Answer:

9.8

Step-by-step explanation:

Hoped that helped :)