Jennifer is saving money to buy a bike. The bike costs $227. She has $106 saved, and each week she adds
$11 to her savings.
How long will it take her to save enough money to buy tho hilo?

Answers

Answer 1

Answer:

11 weeks.

Step-by-step explanation:

227-106=121

121 divided by 11 = no. of weeks

Therefore it takes her 11 weeks.

Answer 2

Answer:

It will take 11 weeks

Step-by-step explanation:

11 times 11 is 121.

121 plus 106 is 227

which is the exact number the bike costs


Related Questions

Im new to this app!
And im looking for help!!
Please help ASAP!!!
Please!!!!

Answers

y=-4x²-8x+1

а<0 so we will be looking for maximum

х=-b/2a=8/-8=-1

у=4+8+1=13

Maximum point (-1;13)

Economists have found that the amount of corruption in a country's government is correlated to the gross domestic product (GDP) per capita of that country. This can be modeled by y=530x−9240 where x is the corruption score and y is GDP per capita in dollars. Corruption scores range from 0 to 100 with 0 being highly corrupt and 100 being least corrupt. what is the slope of the line represent?

A. the GDP per capita of the country with the lowest corruption score
B. the corruption score needed for a GDP per capita of zero
C. the average GDP per capita for every point in the corruption score
D. the increase in GDP per capita for every increase of one in corruption score

Answers

Step-by-step explanation:

pandemic times: Potential ... - CAF

have shown evidence that the effect of corruption on real GDP per capita is more pronounced in countries with low levels of8

Write a fraction for the portion of the grid that is NOT shaded.
15
8
15
7
7
15
8
15

Answers

7

15

because there are a total of 15 grid and the question asked to pick the grid that doesn't shaded

Answer:

7/15

Step-by-step explanation:

We can count the grids to see that there are 15. This is the total, and will become our denominator. From there, we can count the non blue squares to get to 7, our numerator. We put our numerator, 7, over pur denominator, 15. This gives us 7/15.

James is applying for a new job at a game design company. Job A offers $40,000 starting salary with a $1000 raise each year. Job B offers $35,000 starting salary with a 8% raise each year. Which job should James take if he is working at this job for 5 years?

Answers

Job B because every year he gets a $2800 every year and if he continues for 5 years he will get a total of $14000 but if he works at job A he gets $5000 after 5 years

Step-by-step explanation:

A........a40,000 + b5000 WITH 5 YEARS

B........a35,000 + b14,000 with 5 years

answer B

Of 240 stamps that Harry and his sister collected, Harry collected 3 times as many as his sister. How many did each collected.

Answers

Answer:

Harry collected 180 stamps

Harry's sister collected 60 stamps

Step-by-step explanation:

Let X be the number of stamps that Harry's sister colleted.

The number of stamps Harry colleted is 3 time as many as his sister's

⇒ 3*X + X = 240

⇒ X = 60

⇒ 240 - 60= 180

Answer:

180 for harry and 60 for his sister

Step-by-step explanation:

Answer true or false and explain your answer. If it is important not to reject a true null​ hypothesis, the hypothesis test should be performed at a small significance level.

Answers

Answer: No, The goal when testing a hypothesis is to to guess a large significant level to possibly have the answer correct based upon evidence. False. It needs to be a large significant level

Step-by-step explanation:

A girl has 9 skirts, 8 blouses, and 7 pairs of shoes. How many different skirt-blouse-shoe outfits can
she wear? (Assume that each item matches all the others, so she is willing to wear any combination.)

Answers

Answer:

She could wear 7 different outfits

Jack is a discus thrower and hopes to make it to the Olympics some day. He has researched the distance (in meters) of each men's gold medal discus throw from the Olympics from 1920 to 1964. Below is the equation of the line of best fit Jack found.

y = 0.34x + 44.63
When calculating his line of best fit, Jack let x represent the number of years since 1920 (so x=0 represents 1920 and x=4 represents 1924).

Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.
71.83 meters

65.03 meters

717.83 meters

44.63 meters

Answers

Answer:

65.03 meters

Step-by-step explanation:

The line of best fit, for the distance of the winning throw, in x years after 1980 is:

[tex]y = 0.34x + 44.63[/tex]

Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.

1980 - 1920 = 60, so this is y(60).

[tex]y(60) = 0.34(60) + 44.63 = 65.03[/tex]

So the answer is 65.03 meters.

The volume of a cone is given by the formula $V = \frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height. The area of the base of a cone is 30 square units, and its height is 6.5 units. What is the number of cubic units in its volume?

Answers

9514 1404 393

Answer:

  65 cubic units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  V = 1/3Bh

  V = 1/3(30)(6.5) = 65 . . . cubic units

Find the value of a for which there is no term independent of x in the ezlxpansion of
[tex](1 + ax {}^{2} )( \frac{2}{x} - 3x) {}^{6} [/tex]

Answers

"no terms independent of x" basically means there is no constant term, or the coefficient of x ⁰ is zero.

Recall the binomial theorem:

[tex]\displaystyle (a+b)^n=\sum_{k=0}^n\binom nk a^{n-k}b^k[/tex]

So we have

[tex]\displaystyle \left(1+ax^2\right)\left(\frac2x-3x\right)^6 = \left(1+ax^2\right) \sum_{k=0}^6 \binom 6k \left(\frac2x\right)^{6-k}(-3x)^k[/tex]

[tex]\displaystyle \left(1+ax^2\right)\left(\frac2x-3x\right)^6 = \left(1+ax^2\right) \sum_{k=0}^6 2^{6-k}(-3)^k\binom 6k x^{2k-6}[/tex]

[tex]\displaystyle \left(1+ax^2\right)\left(\frac2x-3x\right)^6 = \sum_{k=0}^6 2^{6-k}(-3)^k\binom 6k x^{2k-6}+a\sum_{k=0}^6 2^{6-k}(-3)^k\binom 6k x^{2k-4}[/tex]

The first sum contributes a x ⁰ term for 2k - 6 = 0, or k = 3, while the second sum contributes a x ⁰ term for 2k - 4 = 0, or k = 2. The coefficient of the sum of these terms must be zero:

[tex]2^{6-3}(-3)^3\dbinom 63 + a\times2^{6-2}(-3)^2\dbinom 62 = 0[/tex]

which reduces to

2160a - 4320 = 0

2160a = 4320

a = 2

An election ballot asks voters to select 2 city commissioners from a group of 4 candidates. In how many ways can this be​ done?

2 city commissioners can be selected from a group of 4 candidates in
nothing ___ different ways.

Answers

Answer:

20

Step-by-step explanation:

In order to estimate the average time spent per student on the computer terminals at a local university, data were collected for a sample of 81 business students over a one-week period. Assume the population standard deviation is 1.8 hours. If the sample mean is 9 hours, then the 95% confidence interval is

Answers

Answer:

(8.608, 9.392)

Step-by-step explanation:

We have the following information

Population standard deviation = 1.8

Sample mean = 9 hours

Sample n = 81

C I = 95%

So level of significance

Alpha = 1-0.95

= 0.05

Z critical at 0.05/2

Z(0.025) = 1.96

The 95% c.i =

9+-(1.96)(1.8/√81)

9+-(1.96)(0.2)

(9-0.392)(9+0.392)

(8.608, 9.392)

This is the confidence interval at 95%.

I hope you find my solution useful. Good luck!!!

Sketch a graph of f (x) = −1

Answers

Answer:

Step-by-step explanation:

f(x) = -1 is actually the same as y = -1.  Find y = -1 on the y axis and then draw a horizontal line through this point.  The resulting graph is that called for here.

A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following exponential function, where is the number of minutes since the can was placed in the cooler.

T(x)=-22+44e^-0.03x

Find the initial temperature of the soda and its temperature after 18 minutes.

Answers

Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

 

Initial temperature (x = 0):

 

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

 

After 18 minutes (x = 18):

 

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C

Please help, will give brainliest!!!!!

Answers

Answer:

third option

Step-by-step explanation:

Brainliest please~

The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard deviation of the distribution of sample means for samples of size 60

Answers

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation is 9.5 for a population.

This means that [tex]\sigma = 9.5[/tex]

Sample of 60:

This means that [tex]n = 60[/tex]

What is the standard deviation of the distribution of sample means for samples of size 60?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264[/tex]

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.Number of days Absent | Probability 0 0.60 1 0.20 2 0.12 3 0.04 4 0.04 5 0.001. What is the mean number of days absent? What are the variance and standard deviation?2. For the following probability distribution: a) x|10|11|12|13|14b) P(x)|.1|.25|.3|.25|.13. Find the mean, variance and standard deviation for the following probability distribution.

Answers

Answer:

(1)

[tex]E(x) = 0.72[/tex]

[tex]Var(x) = 1.1616[/tex]

[tex]\sigma = 1.078[/tex]

(2)

[tex]E(x) = 12[/tex]

[tex]Var(x) = 1.3[/tex]

[tex]\sigma = 1.14[/tex]

Step-by-step explanation:

Solving (1):

[tex]\begin{array}{ccccccc}{Days} & {0} & {1} & {2} & {3} & {4}& {5} \ \\ {Probability} & {0.60} & {0.20} & {0.12} & {0.04} & {0.04} & {0.00} \ \end{array}[/tex]

(a): Mean

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]E(x) = 0 * 0.60 + 1 * 0.20 + 2 * 0.12 + 3 * 0.04 + 4 * 0.04 + 5 * 0.00[/tex]

[tex]E(x) = 0.72[/tex]

Solving (b): The variance

This is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where:

[tex]E(x) = 0.72[/tex]

and [tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 0^2 * 0.60 + 1^2 * 0.20 + 2^2 * 0.12 + 3^2 * 0.04 + 4^2 * 0.04 + 5^2 * 0.00[/tex]

[tex]E(x^2) = 1.68[/tex]

So, we have:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 1.68 - 0.72^2[/tex]

[tex]Var(x) = 1.1616[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{Var(x)}[/tex]

[tex]\sigma = \sqrt{1.1616}[/tex]

[tex]\sigma = 1.078[/tex]

Solving (2):

[tex]\begin{array}{ccccccc}{x} & {10} & {11} & {12} & {13} & {14}& { } \ \\ {P(x)} & {0.1} & {0.25} & {0.3} & {0.25} & {0.1} & { } \ \end{array}[/tex]

(a): Mean

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]E(x) = 10 * 0.10 + 11 * 0.25 + 12 * 0.3 + 13 * 0.25 + 14 * 0.1[/tex]

[tex]E(x) = 12[/tex]

Solving (b): The variance

This is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where:

[tex]E(x) = 12[/tex]

and [tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 10^2 * 0.10 + 11^2 * 0.25 + 12^2 * 0.3 + 13^2 * 0.25 + 14^2 * 0.1[/tex]

[tex]E(x^2) = 145.3[/tex]

So, we have:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 145.3 - 12^2[/tex]

[tex]Var(x) = 1.3[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{Var(x)}[/tex]

[tex]\sigma = \sqrt{1.3}[/tex]

[tex]\sigma = 1.14[/tex]


What balance will be in an account that has an initial deposit of $4600 with an APR of
1.8%? The money is compounded quarterly for 30 years.

How much interest has been earned for the entire time period?

Answers

Answer:

100$or 20.4 that is the answer

A line has a slope of 9 and passes through the point (2, 8). What is its equation in slope-intercept form? Explain?

Answers

Answer:

y = 9x-10

Step-by-step explanation:

Slope-Intercept form is y = mx + b where m is the slope and b is the y intercept.

plug in what we are given

8 = 9(2) + b

solve for the y intercept (b)

8=18+b

8-18 = b

-10 = b

plug the slope (m) and y intercept (b) into our formula

y = 9x - 10

Answer: y= 9x-10


Step 1: Write equation in slope- intercept form

In the question, we are asked to write an equation for a line in slope- intercept form. For step 1, let’s write the standard formula.

y= mx+b

Step 2: Substitute information

To solve the equation, we must first substitute the numbers into the equation. Let’s first substitute the slope, which will replace the letter m.

y= mx+b
y= 9x+b

Now let’s put the point into the equation. It will not stay in the equation like 9, but it help us find the numeric value of b. Let’s put this in now.

y= 9x+b
8= 9(2)+b

Step 3: Solve for b

Let’s now solve our equation for b.

8= 9(2)+b
8= 18+b
-10= b

Step 4: Write final equation

We know the value for b, so we can now substitute this into the equation for our final answer. Keep in mind that the point will not stay in, and y and x will remain a variable.

y= mx+b
y= 9x+b
y= 9x-10

This is your answer! Our equation is y=9x-10. Hope this helps! Comment below for more questions.

A rope is 56 in length and must be cut into two pieces. If one piece must be six times as long as the other, find the length of each piece. Round your answers to the nearest inch, if necessary.

This is the Written equation.
x+6x=56

Solve the equation.

Interpret the results and write the answer in words.

The smaller piece is x = _ in.
The longer piece is _x = _ ( ) = _ in.
The lengths of the two pieces are _ in
and _ in.

Part 1 of 2
_ in

Part 2 of 2
_ in

Answers

Answer:

8 inches

48 inches

total 56 inches

Step-by-step explanation:

x+6x = 56

7x = 56

Divide by 7

7x/7 = 56/7

x = 8

The smaller piece is x inches or 8 inches

The larger piece is 6x inches or 6*8 =48 inches

8+48 = 56 inches

The total length is 56 inches

Answer:

8 inches, and 48 inches

Step-by-step explanation:

x+6x=56

Solve the equation.

7x=56

x=8

Interpret the results and write the answer in words.

The smaller piece is x = 8 in.

The longer piece is 6x = 6 (8) = 48 in.

The lengths of the two pieces are 8 in

and 48 in.

If g(x) = x2 – 4, find g(5).
6
О
14
21
O
29

Answers

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]\sf \: g(x) = {x}^{2} - 4 \\ \\ \sf \: x = 5 \\ \\ \sf \: g(5) = {5}^{2} - 4 \\ \sf \: g(5) = 25 - 4 \\ \sf \: g(5) =\underline 2\underline1[/tex]

Answer ↦21 [Option C]

[tex]\tt \: g(x) = {x}^{2} - 4[/tex]

Substitute the value of x as 5 (given) in the above equation. The equation changes too..

[tex]\tt \: g(5) = {5}^{2} - 4[/tex]

Now you can easily solve the equation.

[tex]\tt \: g(5) = {5}^{2} - 4 \\\tt g(5) =( 5 \times 5) - 4 \\ \tt \: g(5) = 25 - 4 \\ \tt \: g(5) = 21[/tex]

Answer - [tex]\boxed{\sf{21}}[/tex]

a rice cooker was sold for $60 after a discount of 60% waht was the usual price of the rice cooker plz simple for class 5 pleeease

Answers

Answer:

$150

Step-by-step explanation:

discount=60%

let the price=x

(100-60)% of x=$60

40% of x=60

x=60×(100/40)=150


7. 2+ 32 = 5+ 3z
a. -1/2
b. infinitely many solutions c. no solution
d.2 1/3
can i get a explanation on how to find the answer too.

Answers

Answer:

[tex]z=9\frac{2}{3}[/tex]

Step-by-step explanation:

2 + 32 = 5 + 3z

34 = 5 + 3z

3z + 5 = 34

3z + 5 - 5 = 34 - 5

3z = 29

3z ÷ 3 = 29 ÷ 3

[tex]z=9\frac{2}{3}[/tex]

What is the circumference of the circle in terms of [tex]\pi[/tex]?
a. 900[tex]\pi[/tex] in.
b. 90[tex]\pi[/tex] in.
c. 60[tex]\pi[/tex] in.
d. 30[tex]\pi[/tex] in.

(duplicate, as I forgot the image)

Answers

[tex] \sf \: r \: = 30 \: in. \\ \sf \: C \: = 2\pi r \\ \\ \sf \: C \: = 2\pi(30) \\ \sf \: C = 2 \times 30\pi \\ \sf \: C = \boxed{\underline{ \bf c. \: 60\pi \: in.}}[/tex]

Which of the relations given by the following sets of ordered pairs is a function?
C_{(1,2), (2, 3), (3, 4), (5,6), (2, 1)}
C {( - 2,5), (7,5), ( – 4,0), (3,0), (1, - 6)}
Ċ {(2, – 8), (1, – 4), (0,0), (1, 4), (2,8)}
{(3, – 3), (3,
1), (3, 1), (3, 3), (3,5)}
Submit
Pass
elp
Don't know
answer
14
tv
va

Answers

The first or second one because a function can't have the x value repeating

please help!
find measure of CDE ​

Answers

Answer:

170

Step-by-step explanation:

A heptagon's internal angles add up to 900 degrees.

So:

(2x-13)+(3x-8)+(2x-3)+(2x-7)+(3x-1)+(2x+11)+(2x+9) = 900

16x - 12 = 900

16x = 912

x = 912/16

x = 57

So:

3x - 1 = 3 * 57 -1 = 170

Is there a difference in the number of people who have an Annual pass to Disney World comparing people who live in Florida to those who do not?

Answers

Answer:

Fail to reject the null hypothesis.

Step-by-step explanation:

People who live in Florida and also have annual pass to Disney world is 221, sample size selected for group 1 is 350.

People who do not live in Florida and have annual pass to Disney world is 365, sample size selected for Group 2 is 650.

Group 1 sample proportion is : 221 / 350 = 0.6314

Group 2 sample proportion is 365 / 650 = 0.5615

Test statistics is 0.8317

Since test stats value is greater than the sample proportion significance level, we fail to reject the null hypothesis.

Find the surface area of a sphere
with a radius of 9 cm.
Surface Area = [?] cm?

Answers

Answer:

[tex] 1,017.36 \: {cm}^{2} [/tex]

Step-by-step explanation:

Surface area of a sphere

[tex] = 4\pi {r}^{2} \\ = 4 \times 3.14 {(6)}^{2} \\ = 12.56 \times 81 \\ = 1,017.36 \: {cm}^{2} [/tex]

Answer:

1017.36 cm²

Step-by-step explanation:

Given :-

Radius = 9cm .

We know ,

SA = 4π r²SA = 4* 3.14 * (9cm)² SA = 4 *3.14*81cm²SA = 1017.36 cm²

A rectangular room is 6 meters longer than it is wide, and its perimeter is 28
meters. Find the dimension of the room.

Answers

Answer: width = 4 and length = 10

Step-by-step explanation:

Width = w and length = w + 6

2(w) + 2 (w + 6) = 28

2w + 2w + 12 = 28

4w = 28 - 12

W = 16/4

W = 4 (width)

Length = w + 6

4 + 6 = 10

What is the value of x?
OA) 65°
B) 50°
OC) 80°
OD) 90°

Answers

Answer:

Please mark be Brainliest and I hoped this helped!

x = 80°  

Step-by-step explanation:

These are both isosceles triangles, so the top 2 angles are both 65°. The last angle of that triangle is 180° - (65° + 65°) which is 50°. Then, the opposite of that angle is in the next triangle. It is also 50°. So the 2 base angles are both 50°, so x is 180° - (50° + 50°) which is 80°.  

Other Questions
Woodpecker(A) was found in relatively large numbers in a particular ecosystem. however since the addition of a new species,woodpecker(B) its population has greatly decreased. This example can be used to illustrate What is the correct sequence of events in DNA replication?A. New bases are added, Two resulting strands wind into helices , DNA strands separate, DNA Helix unwinds.B. DNA Helix unwinds, Two resulting strands wind into helices, DNA strands separate, New bases are added.C. DNA Helix unwinds, DNA strands separate, New bases are added, Two resulting strands wind into helices.D. DNA strands separate, New bases are added, DNA Helix unwinds, Two resulting strands wind into helices. The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? Plzz answer this questionChapter:Tense Define what an emotion How was manganese, a heavy element present in trace amounts in thehuman body, formed?O A. Through the star cycleB. Through the big bangO C. By fusion in small starsO D. By fusion in large stars use the figure to find n please. Manifest Destiny, a phrase coined in 1845, is the idea that the United States is destinedby God, its advocates believedto expand its dominion and spread democracy and capitalism across the entire North American continent.TRUE ?OR FALSE? Fluent readers:pay attention to various signals in the text.notice when different words are being emphasized.recognize the presence of humor or sarcasm and the mood of the text.All of the choices are correct. which number best represents the slope of the graphed line Assume that an investor is offered a choice of a risk-free government bond that is expected to return 3.5% or a high-risk corporate stock. According to one of the principles of finance, what would induce the investor to purchase the corporate stock Plz help me find a on the triangle show work plz Which organisms benefit an ecosystem by addingoxygen and removing carbon dioxide from theatmosphere?a Algaeb CowsC Birdsd Insects HELP!!!!!How did farmers in marshy areas modify the environment to make it suitablefor farming?A. They started raising cattle.B. They irrigated the fields.C. They drilled for oil.O D. They dug drainage ditches. How do you translate "Those who have frequented them not being one of them, you know. The rich are the most boring people in the world. Comforted by the security of money and privileges, do they conceive anything "alternative" to what has been handed down for decades" in French?I would be grateful if you could reply as quickly as possible.Thank you so much for your attention. how was the life of men in agricultural age Mt ni th 420g ch nhit 100C v 260g nc nhit 58C lm cho nc nng ln ti 60C . Cho nhit dung ring ca nc l 4200J/kg.K v bo qua s hao ph nhit ra mi trng bn ngoi . Hy tnh :a) Nhit ca ch khi c cn bng nhit b) Nhit lng nc thu voc) Nhit dung ring ca chd) Nu mun nc v ch nng ti nhit 75C th cn thm vo mt lng ch nhit 150C l bao nhiu ? Which statements about the box plot are correct? Check all that apply.A box and whisker plot. The number line goes from 30 to 80. The whiskers range from 34 to 76, and the box ranges from 42 to 70. A line divides the box at 46.Fifty percent of the data values lies between 34 and 46.Seventy-five percent of the data values lies between 42 and 70.It is unlikely that there are any outliers.The interquartile range is 24.The range is 36. The number of measles cases increased 5.2% to 33 cases this year, what was the number of cases prior to the increase? Which passage provides more effective evidence, and why?