WILL GIVE BRILLIANTIEST Select the better deal in the pair. Then give the unit rate for the better deal.
$90 $222
or
3g 69
The (select) y deal is better. The unit rate of the better deal is $
Vg.

Answer:

The length of side EF is 10 units.

If there is any specific measurement for each unit, multiply 10 by the measurement amount.

Answer:

10 units

Step-by-step explanation:

The side of EF is 10 units

The side of DE is 10 units

The side of DF is about 14.1 units

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

To know more about hypothesis visit:

brainly.com/question/30404845

#SPJ4

Answer:

The formula A = (1/2)bh represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle

Step-by-step explanation:

Answer:

b = 2A/h

Solve the equation with substitution

Answer:

$4752  was collected during that time

Answer:

$4752 was made in the 2 hour time period.

Hope this helps :)

Step-by-step explanation:

12 * 396 = 4752

There are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

For the number to be divisible by 5, its units digit must be either 0 or 5. Since we cannot repeat digits, we have two cases to consider:

Case 1: The units digit is 0.

In this case, we have 5 choices for the units digit (0, 1, 2, 3, or 4). For the remaining four digits, we can choose them in 4! ways (i.e., 4 choices for the first digit, 3 choices for the second digit, 2 choices for the third digit, and 1 choice for the fourth digit).

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 0 is:

5 × 4! = 120

Case 2: The units digit is 5.

In this case, we have only one choice for the units digit, which is 5. For the remaining four digits, we can choose them in 4! ways as before.

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 5 is:

1 × 4! = 24

The total number of ways to form a five-digit number that is divisible by 5 without repeating digits is the sum of the numbers from both cases:

120 + 24 = 144

Therefore, there are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

To know more about divisibility rule refer here:

https://brainly.com/question/28620778?#

#SPJ11

The function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Given, a function y = 7|x + 1| - 5

Now, we have to write the given function as a piecewise function

|x + 1| = (x + 1) for x > -1 and

|x + 1| = - (x + 1) for x < -1

So, the given function can be written as a piecewise function

               7(x + 1) - 5                for x > -1

y   =

              -7(x + 1) - 5                for x < -1

On simplifying, we get

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Hence, the given function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Learn more about Functions here https://brainly.com/question/25638609

#SPJ1

Answer:

576

Step-by-step explanation:

3 x 8= 24

24^2= 576ft

Answer:

192 ft²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here r = 8 , then

A = π × 8² = 3 × 64 = 192 ft²

Step-by-step explanation:

eyoaekzgzegkegkzEGKegkzegkzkegzegkzegkzhekzkehskzFegkzkegzgkzejfszfjsjwfJwfUr

Answer:

Step-by-step explanation:

f(-2) = 3 - (-2)^2 = 3 -4 = -1

Answer:

1.47 years

Step-by-step explanation:

Given that,

The height of male elephant is given by the formula,

\(h=62.5\sqrt[3]{t} +75.8\)

If h = 275 cm, we need to find the age of the elephant.

Put h = 275 cm in the above formula,

\(275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years\)

So, the required time be 1.47 years.

By using Wilson's Theorem, we have proved that (p-2)! ≡ 1 (mod p) for a prime number p

Wilson's Theorem states that if p is a prime number, then (p-1)! is congruent to -1 (mod p), or equivalently, (p-1)! ≡ -1 (mod p).

We start with the given expression, (p-2)!.

We can rewrite this as (p-1)! / (p-1) since (p-2)! = (p-1)! / (p-1).

According to Wilson's Theorem, (p-1)! ≡ -1 (mod p).

We substitute this into our expression: (p-2)! ≡ (p-1)! / (p-1) ≡ -1 / (p-1).

We need to find the modular multiplicative inverse of (p-1) modulo p. Since p is prime, we know that (p-1) is coprime to p. Therefore, the modular multiplicative inverse exists.

Let's denote the modular multiplicative inverse of (p-1) as k, such that (p-1) * k ≡ 1 (mod p).

Multiplying both sides of our expression by k, we have: (p-2)! * k ≡ -1 * k ≡ 1 (mod p).

Since k is the modular multiplicative inverse of (p-1), we can substitute it back into our expression: (p-2)! * (p-1) ≡ 1 (mod p).

Finally, we divide both sides by (p-1) to isolate (p-2)!, giving us the desired result: (p-2)! ≡ 1 (mod p).

Therefore, by using Wilson's Theorem, we have proved that (p-2)! ≡ 1 (mod p) for a prime number p.

Learn more about  Wilson's Theorem from given link

https://brainly.com/question/32250349

#SPJ11

The event is randomly selecting one card from a standard deck of 52 playing cards. We need to determine the number of outcomes in this event and whether it is a simple event or not.

In a standard deck of 52 playing cards, there are 4 suits (hearts, diamonds, clubs, spades) and each suit has 13 cards (Ace, 2-10, Jack, Queen, King). Therefore, there are 52 possible outcomes or cards to choose from in this event.
Now, let's determine if this event is a simple event or not. A simple event is an event that consists of a single outcome. In this case, since we are randomly selecting one card from the deck, the event of selecting a specific card (e.g., Ace of Hearts) would be a simple event because it has a single outcome. However, if the event is defined as selecting a card of a specific suit or a card of a specific rank (e.g., selecting a heart or selecting a King), then it would not be a simple event as there are multiple outcomes associated with that event.
When randomly selecting one card from a standard deck of 52 playing cards, there are 52 possible outcomes in the event. The event of selecting a specific card, like the Ace of Hearts, would be a simple event with a single outcome. However, events defined by selecting cards of a specific suit or rank would not be simple events as they have multiple outcomes.

Learn more about simple event here
https://brainly.com/question/30633016

 #SPJ11

Answer:

ok wirrudi 123 alf8 434 21 3dis w

The equation x = 7 - 4√3 is a radical expression, and the value of the radical expression is \((x + \frac 1x)^2 = 3650401 -2107560\sqrt 3\)

The equation is given as:

x = 7 - 4√3

So, we have:

\((x + \frac 1x)^2 = (7 - 4\sqrt 3 + \frac{1}{7 - 4\sqrt 3})^2\)

Take the LCM

\((x + \frac 1x)^2 = (\frac{49 -56\sqrt3 + 48}{7 - 4\sqrt 3})^2\)

Evaluate the like terms

\((x + \frac 1x)^2 = (\frac{97 -56\sqrt3 }{7 - 4\sqrt 3})^2\)

Rationalize

\((x + \frac 1x)^2 = (\frac{(97 -56\sqrt3)(7 - 4\sqrt 3) }{49 -48})^2\)

Evaluate the difference

\((x + \frac 1x)^2 = ((97 -56\sqrt3)(7 - 4\sqrt 3))^2\)

Expand

\((x + \frac 1x)^2 = (679 -388\sqrt 3 -392\sqrt 3 + 672)^2\)

Evaluate the like terms

\((x + \frac 1x)^2 = (1351 -780\sqrt 3 )^2\)

Expand

\((x + \frac 1x)^2 = 1825201 +1825200 -2107560\sqrt 3\)

\((x + \frac 1x)^2 = 3650401 -2107560\sqrt 3\)

Hence, the value of the radical expression is \((x + \frac 1x)^2 = 3650401 -2107560\sqrt 3\)

Read more about radical expressions at:

https://brainly.com/question/8952483

#SPJ1

Answer:

p=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

\( - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16\)

A) The odds of picking a black jellybean are 14/37.

Step-by-step explanation:

The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.

Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.

Therefore, the number of black jellybeans = 14

Now, the number of unfavorable outcomes is the number of jellybeans that are not black.

Therefore, the number of unfavorable outcomes = 37-14=23

Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37

Answer: Odds of picking a black jellybean are 14/37.

B) The odds of picking a green jellybean are 5/35.

Step-by-step explanation:

The jar contains ten black, eight red, twelve yellow, and five green jellybeans.

Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.

Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.

Therefore, the number of unfavorable outcomes = 35-5=30

Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30

Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6

Hence, the odds of picking a green jellybean are 5/35.

Answer: Odds of picking a green jellybean are 5/35.

Learn more about it by clicking this link

https://brainly.com/question/29104341

#SPJ11

The graph of the equation of line is explain below

The general equation of a straight line is y = mx + c, where m is the slope, and y = c is the worth where the line cuts the y-pivot. This number c is known as the block on the y-pivot. Central issue. The condition of a straight line with inclination m and block c on the y-hub is y = mx + c.

We have, equation of line ,3y-2=5​

⇒ y = 7/3

Its graph is shown below,

To know more about equation of line visit:

brainly.com/question/21511618

#SPJ9

Answer:

Step-by-step explanation:

\(6x=3(x - 4) - x \)

Multiply the terms in the bracket

That's

\(6x = 3x - 12 - x \\ 6x = 2x - 12\)

Subtract 2x from both sides of the equation

\(6x - 2x = 2x - 2x - 12 \\ 4x = - 12\)

Divide both sides by 4

\( \frac{4x}{4} = - \frac{12}{4} \)

We have the final answer as

Hope this helps you

Answer:

-4

Step-by-step explanation:

6x = 3(x - 4)

6x = 3x - 12

3x = -12

x = -4

Best of Luck!

Answer:

1 - 1 = 0

1 + 1 = 2

Step-by-step explanation:

:)

Answer:

1-1=0 1+1=2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C) $14.2

Step-by-step explanation:

$3 is flat value. minimum price. $0.8 per mile for 14 miles is 0.8x14 which equals to 11.2. Add $3 and get $14.2.

C) 14.20

.8×14=11.2

11.2+3=14.2

Answer:

  see below for the meaning of a, b, c, k, p, q.

Step-by-step explanation:

You want the minimum value of a quadratic function.

The extreme will be a minimum if the sign of the leading term is positive. It will be a maximum if the sign of the leading term is negative.

The standard form equation of a parabola is ...

  f(x) = ax² +bx +c

The x-coordinate of the extreme value (maximum or minimum) is ...

  x = -b/(2a)

The y-coordinate of the extreme value, the maximum or minimum, is ...

  y = -b²/(4a) +c

The extreme point is (-b/(2a), -b²/(4a) +c).

The vertex form equation of a parabola is ...

  f(x) = a(x -h)² +k

The coordinates of the vertex (extreme point) are (h, k).

The factored form of the equation of a parabola is ...

  f(x) = a(x -p)(x -q)

where p and q are the x-intercepts.

The coordinates of the extreme point are ((p+q)/2, -a/4(p-q)²).

__

Additional comment

As you can see, the way you find the minimum (or maximum) value depends on what you're starting with. In general that value is the y-value of the vertex. We have also shown the x-value of the vertex, because you may be asked for the coordinates of the minimum (or maximum) point.

You may see the quadratic function in other forms. Generally, those forms can be rearranged to one of these forms. Obviously, if you're looking for the vertex, the "vertex form" is the easiest place to start.

The value of 'a' is the leading coefficient in every case.

<95141404393>

To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method. The minimum value occurs at the vertex of the parabola.

To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method.

Vertex Formula:

Completing the Square:

By using either of these methods, you can find the minimum value of a quadratic equation.

About minimum value here:

https://brainly.com/question/11206119

#SPJ11

Answer:

A ) 8,000 x - 24,000 in 3 day

Answer:  The answer is D

Step-by-step explanation:

55% of the pins were purple if Omar ordered a set of purple and red pins. He received 60 pins in all. 33 of the pins were purple.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants. An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To find the percentage of purple pins, we need to divide the number of purple pins by the total number of pins and multiply by 100.

Number of purple pins = 33

Total number of pins = 60

Percentage of purple pins = (Number of purple pins / Total number of pins) x 100

= (33 / 60) x 100

= 55%

Therefore, 55% of the pins were purple.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

Answer:

77 is the ninth term.

Step-by-step explanation:

You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.

y = f(x)

Reflection, change the sign of the function

y = - f(x)

f(x) -f(x)

1 -1

2 -2

3 -3

8 -8

20 -20

The x coordinate will change.

The total amount with Siobhan is given by the equation S = $ 8.33

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.

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 data ,

Let the amount with Siobhan be represented as S

Let the amount with Priya be represented as P

Let the amount with James be J = $ 7.00

And , Priya makes 40% more than James

So , P = ( 40 / 100 ) x P + P

Substituting the values in the equation , we get

The amount with P = ( 0.40 ) ( 7 ) + 7

The amount with Priya P = 2.8 + 7

The amount with Priya P = $ 9.80

Now ,

Siobhan makes 15% less than Priya

So , the amount with Siobhan S = P - ( 15/100 )P

Substituting the values in the equation , we get

The amount with Siobhan S = 9.80 - ( 0.15 )( 9.80 )

On simplifying the equation , we get

The amount with Siobhan S = 9.80 - 1.47

The amount with Siobhan S = $ 8.33

Hence , the amount with Siobhan is $ 8.33

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The correct null and alternative hypotheses for Becky's one-proportion hypothesis test are H0: p = 0.5 and Ha: p ≠ 0.5 (The true proportion of heads is different from 50%).

This represents a two-tailed test because the alternative hypothesis (Ha) includes the "≠" symbol, indicating that the true proportion of heads could be either greater than or less than 50%.

In this case, Becky conducted a coin flip experiment, where she flipped the coin 30 times and obtained 18 heads. By comparing the observed proportion (18/30 = 0.6) to the hypothesized proportion of 0.5 (50%), she wants to determine if there is evidence to suggest that the coin is biased and not coming up heads or tails in a truly random fashion.

To perform the hypothesis test, she will calculate the test statistic (Z) and compare it to the critical value(s) corresponding to her chosen significance level of 5%. If the test statistic falls in the rejection region, she would reject the null hypothesis and conclude that there is evidence to suggest that the true proportion of heads is different from 50%.

Therefore, by using the correct null and alternative hypotheses, Becky can proceed with her hypothesis test accurately and draw valid conclusions regarding the randomness of her coin flips.

To learn more about hypothesis test from the given link

https://brainly.com/question/29576929

#SPJ4

The missing side lengths in the given 45°-45°-90° triangle are:

Shorter leg: 3 inches

Longer leg: √2 / 2 inches

The missing side length(s) in the given 45°-45°-90° triangle can be found by applying the properties of this special right triangle.

In a 45°-45°-90° triangle, the two legs are congruent, and the hypotenuse is equal to √2 times the length of the legs. In this case, we have the hypotenuse as 1 inch and the shorter leg as 3 inches.

Let's determine the lengths of the missing sides:

1. **Shorter leg:** Since the two legs are congruent, the missing shorter leg is also 3 inches.

2. **Longer leg:** To find the longer leg, we can use the relationship between the hypotenuse and the legs. The hypotenuse is √2 times the length of the legs. Thus, we can set up the equation: √2 * leg length = hypotenuse. Plugging in the values, we get √2 * leg length = 1. To isolate the leg length, we divide both sides by √2: leg length = 1 / √2. To rationalize the denominator, we multiply the numerator and denominator by √2: leg length = (1 * √2) / (√2 * √2) = √2 / 2. Therefore, the longer leg is √2 / 2 inches.

In summary, the missing side lengths in the given 45°-45°-90° triangle are:

Shorter leg: 3 inches

Longer leg: √2 / 2 inches

By using the given information and applying the properties of the 45°-45°-90° triangle, we determined the lengths of the missing sides. The shorter leg is simply 3 inches, as the legs are congruent. For the longer leg, we used the relationship between the hypotenuse and the legs, which states that the hypotenuse is √2 times the length of the legs. By solving the equation √2 * leg length = 1, we found the longer leg to be √2 / 2 inches.

Learn more about triangle here

https://brainly.com/question/28470545

#SPJ11

Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

Read more about cost reimbursement

brainly.com/question/31930459

#SPJ1