Suppose that X is an event, and that P(X)=0.66 . What is P( X ˉ ) (i.e. the probability that X will not occur)? Answer = You have attempted this problem 0 times. You have unlimited attempts remaining.
The probability of X not occurring is 0.34.
What is Probability?
Probability is a branch of mathematics concerned with measuring the likelihood of events. It involves studying random phenomena, such as coin tosses, rolling dice, or weather patterns, and assigning numerical values to the likelihood of different outcomes .The formal definition of probability is based on the concept of equally likely outcomes, where the probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes
If P(X) = 0.66, then the probability of not X occurring (i.e., X complement or X bar) is:
P(X bar) = 1 - P(X)
P(X bar) = 1 - 0.66
P(X bar) = 0.34
Therefore, the probability of X not occurring is 0.34.
To learn more about Probability, visit the link:
https://brainly.com/question/24756209
#SPJ1
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter
The initial fee per meter is $110.
Although the fundamentals of speed, time, and distance stay the same, the kind of problems posed in exams may vary.
Most of the time, applicants will be given 1-2 word problems based on Speed, Time, and Distance, but they should also be prepared for questions on data sufficiency and data interpretation based on the TDS (Time, Distance, and Speed) theme.
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
F(d) models the fee (in dollars) for climbing d meters.
F(d)=110+0.12d
To find the initial amount, substitute d=0 int the above function, and we get
F(0)=110+0.12(0)=110
Hence, the initial fee is $110.
The complete question is-
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.F(d)models the fee (in dollars) for climbing d meters. F(d)=110+0.12d. What is the initial fee?
learn more about initial condition,
https://brainly.com/question/2005475
#SPJ4
13731 arks
a) Write the missing numbers.
10% of 140 =
5% of 140 =
1% of 140 =
b) Work out 16% of 140
You can use part (a) to help you.
000 0
Sam purchases a new car for $29,500. The car depreciates at a rate of 13. 25% per year. What is
the value of the car after 7 years?
If Sam purchases a new car for $29,500 and the car depreciates at a rate of 13. 25% per year, then the value of the car after 7 years is $11652.50
We can use the formula for exponential decay to find the value of the car after 7 years:
V = P × e^(-rt)
where:
V = value of the car after 7 years
P = initial price of the car
r = annual depreciation rate (as a decimal)
t = time in years
Plugging in the values we get:
V = 29500 × e^(-0.1325 × 7)
V = 29500 × e^(-0.9275)
V = 29500 × 0.395
V = $11652.50
Learn more about exponential decay here
brainly.com/question/30935879
#SPJ4
Which pair of angles are vertical angles?
O KRC and CRH
O ERT and MRC
O MRC and KRM
O KRE and ERT
Answer:
Option B
Step-by-step explanation:
Vertical angles are a pair of angles which have the following characteristics:
(i) Equal in measurement
(ii) Located on opposite sides of two intersecting straight lines
AND
(iii) Have the same vertex
Vertical angles in this figure:
∠ERT and ∠MRC
∠KRC and ∠ERH
∠KRE and ∠CRH
Mr. Denson has a square shaped patio enclosed with a fence. The entire length of the fence around the perimeter of the patio is 72 meters. What is the area of his square-shaped patio?
The area of Mr. Denson's square-shaped patio that enclosed the fence is 324 m².
What is the area?The area is represented as the number of unit squares that cover the surface of an enclosed figure or object, measured in square units like cm² and m².
The area is the product of the two sides (length and breadth).
The perimeter of a square = 4a, where a is one length of the square.
If 4a = 72 meters, a = 18 meters (72/4).
The area of the square-shaped patio = 324 m² (18 x 18).
Thus, Mr. Denson should know that his square-shaped patio has an area of 324 m².
Learn more about the area at brainly.com/question/25292087.
#SPJ1
Write the equation of a circle with center at ( 3, -5 ), and a radius of 3.
A. (x - 3)² + (y + 5)² =9
B. 3 (x - 3)² + (y + 5)² =9
C. (x + 3)² + (y - 5)² =9
D. (x + 3)² + (y - 5)² =3
Answer:
The equation of a circle with center (h, k) and radius r is given by:
(x - h)² + (y - k)² = r²
So, substituting the values given in the question, we get:
(x - 3)² + (y + 5)² = 3²
Simplifying, we get:
(x - 3)² + (y + 5)² = 9
Therefore, the correct option is A) (x - 3)² + (y + 5)² = 9.
Step-by-step explanation:
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3100. Assume that the standard deviation is $1200.
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
The z-score is a measure of how many standard deviations a data point is from the mean. It can be calculated using the formula
z = (x - μ) / σ,
where x is the data point, μ is the mean, and σ is the standard deviation.
a. The z-score for a backyard structure costing $2300 can be calculated as follows:
z = (2300 - 3100) / 1200 = -800 / 1200 = -0.67
b. The z-score for a backyard structure costing $4900 can be calculated as follows:
z = (4900 - 3100) / 1200 = 1800 / 1200 = 1.
c. The z-score in part (a) is -0.67, which means that the backyard structure costing $2300 is 0.67 standard deviations below the mean. The z-score in part (b) is 1.5, which means that the backyard structure costing $4900 is 1.5 standard deviations above the mean. Neither of these z-scores are extreme enough to be considered outliers, as they are both within 2 standard deviations of the mean.
d. The z-score for the backyard shed-office combination costing $13,000 can be calculated as follows:
z = (13000 - 3100) / 1200 = 9900 / 1200 = 8.25
This z-score is much larger than 2, which means that the structure costing $13,000 is more than 8 standard deviations above the mean. This is an extreme value and should be considered an outlier.
To know more about z-score refer here:
https://brainly.com/question/15016913
#SPJ11
Write The Polynomial in the form at^2 + bt + c and then identify the values of a, b, and c
0
The polynomial 0 can be written in the form at^2 + bt + c as 0t^2 + 0t + 0. In this case, a, b, and c are all equal to 0.
What is the relationship between the base of an exponential function and its rate of growth?
O The base of an exponential function is unrelated to its rate of growth.
O The smaller the value of the base, the greater the function's rate of growth.
O The greater the value of the base, the greater the function's rate of growth.
O For each increase in the base, the function's rate of growth doubles.
The cοrrect statement is "The greater the value οf the base, the greater the functiοn's rate οf grοwth"
What is Expοnential functiοn?An expοnential functiοn is a mathematical functiοn οf fοrm f(x) = abˣ,
where a and b are cοnstants, and x is the variable.
The base b is a pοsitive cοnstant and is typically greater than 1. The expοnent x represents the degree οf grοwth οr decay οf the functiοn.
Expοnential functiοns are cοmmοnly used tο mοdel grοwth οr decay in variοus real-wοrld phenοmena, such as pοpulatiοn grοwth, cοmpοund interest, radiοactive decay, and the spread οf disease.
When b is greater than 1, the functiοn represents expοnential grοwth. As x increases, the functiοn grοws at an increasing rate.
When b is between 0 and 1, the functiοn represents expοnential decay. As x increases, the functiοn decays at a decreasing rate.
Therefοre,
The cοrrect statement is "The greater the value οf the base, the greater the functiοn's rate οf grοwth".
Learn more about Exponential function at
https://brainly.com/question/14355665
#SPJ1
An increasing number of consumers believe they have to look out for themselves in the marketplace. According to a survey conducted by the Yankelovich Partners for USA WEEKEND magazine, 60% of all consumers have called an 800 or 900 telephone number for information about some product. Suppose a random sample of 25 consumers is contacted and interviewed about their buying habits
The probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product is approximately 0.326.
How is the binomial probability distribution employed in statistics? What is it?The number of successes in a certain number of independent trials that all have the same probability of success are described by the discrete probability distribution known as the binomial probability distribution. The probability of success is constant during all trials, and it is used in statistics to describe situations where there are two alternative outcomes (success or failure).
The binomial probability distribution is given as:
P(X ≥ k) = 1 - P(X < k)
Here, p = 0.60, and the sample size is n = 20.
Thus,
P(X ≥ 11) = 1 - P(X < 11)
= 1 - ∑(20 choose x) (0.6)ˣ (0.4)⁽²⁰⁻ˣ⁾ for x from 0 to 10
P(X ≥ 11) = 0.326
Hence, the probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product is approximately 0.326.
Learn more about binomial probability distribution here:
https://brainly.com/question/30786502
#SPJ1
The complete question is:
You are a real estate broker for Aurora Realty. One of your clients, Erica Heston, has agreed to purchase one of the homes your office has listed for sale for a negotiated price of $235,000. The down payment is 20%, and the balance will be financed with a 15-year fixed-rate mortgage at 8.75% and discount points. The annual property tax is $5,475, and the hazard insurance premium is $2,110. When Erica signed the original contract, she put down a deposit of $5,000, which will be credited to her down payment. In addition, at the time of closing, Erica must pay the following expenses:
Appraisal lee - $215
Credit report - $65
Roof inspection - $50
Mortgage insurance premium - 1/2% of amount financed
Title search - $125
Altorney's fees - $680
Escrow fee - $210
Prepaid interest - $630
The total monthly PITI of the mortgage loan, given the principal and the tax, would be $ 2, 512.08.
How to find the monthly PITI?To find the monthly PITI, you first need to find the principal and interest portion by the formula :
= Amount financed / 1, 000 x factor for 8.75%, 15 years
= 188, 000 / 1, 000 x 10
= $ 1, 880
The monthly tax and insurance portion would be:
= ( Estimated property tax + Annual insurance ) / 12
= ( 5, 475 + 2, 110 ) / 12
= $ 632.08
The monthly PITI on the mortgage loan is therefore :
= 1, 880 + 632.08
= $ 2, 512.08
Find out more on PITI at https://brainly.com/question/30914746
#SPJ1
The question is:
What is the total monthly PITI of the mortgage loan?
A plant in Alamo, TN, manufactures complex transformer components that must meet specific guidelines for safety. One such component is constructed to deliver 1,000 volts of electricity. A component creates a critical safety hazard if it absorbs humidity at a level above 3%. Any components that absorb too much humidity will be destroyed. A quality control inspector uses a random sample of components to conduct a hypothesis test with H0: The humidity level absorbed is 3%, and Ha: The humidity level absorbed is more than 3%. What is the consequence of a Type II error in this context?
The company believes the humidity absorbed is more than 3% when in fact it is not. Correctly functioning components will be destroyed at great expense to the company.
The company believes the voltage delivered is more than 1,000 volts, when in fact it is not more than 1,000 volts. Correctly functioning components will be destroyed at great expense to the company.
The company believes the voltage delivered is no more than 1,000 volts, when in fact it is more than 1,000 volts. The company will sell components that absorb a dangerous level of humidity.
The company believes the humidity absorbed is not more than 3%, when in fact it is more than 3%. The company will sell components that absorb a dangerous level of humidity.
answer is D
In this case, it means that the company fails to identify components that absorb too much humidity, leading to a potential safety hazard for customers.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The consequence of a Type II error in this context is that the company believes the humidity absorbed is not more than 3%, when in fact it is more than 3%.
This means that the company will fail to detect components that absorb a dangerous level of humidity, and these components will be sold to customers, potentially causing a safety hazard. This is because the null hypothesis in this case is that the humidity level absorbed is 3%, and the alternative hypothesis is that it is more than 3%. A Type II error occurs when the null hypothesis is not rejected, even though it is false, and the alternative hypothesis is true.
Therefore, In this case, it means that the company fails to identify components that absorb too much humidity, leading to a potential safety hazard for customers.
To learn more about Algebraic expression from given link.
brainly.com/question/953809
#SPJ1
HELPPP PLEASE
Line p has a slope of -3/8, Line q is perpendicular to p. What is the slope of line q?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:
We know that
Line q's slope = [tex]-\frac{3}{8}[/tex]
AND we know that line q is perpendicular to line p.
When a line is perpendicular to another line, this means that the slope is the opposite reciprocal of the other slope.
This means that we simply have to flip our fraction and change the sign.
Thus, the slope is [tex]\frac{8}{3}[/tex]
The value of the of your quarters incense is a function of and the number of quarters. You have finally output when the input is 10
The value of the of your quarters incense is a function of and the number of quarters, then the output when input is 10 is 250.
Quarters:
In mathematical terms, quartering is the division of a whole into 4 equal parts, where 1 is the part referred to and 4 is the number of parts the whole is divided into.
Let the quarter be 25 cents then value(v) of quarter (cents) is functions of n then equation,
v = 25n
Putting input (n =10)
V = 25× 10
= 250
The independent value is: n
The dependent value is : v
The equation is: v = 25n
And, the output when input is 10 is 250.
Learn more about Quarter:
https://brainly.com/question/391885
#SPJ4
Drew triangle JKL, with a height of inches and a base of inches, and triangle XYZ, with a height of inches and a base of inches. Which triangle has the greater area?
Triangle JKL has a greater area than triangle XYZ, as it has an area of 98 square inches
To determine which triangle has the greater area, we need to use the formula for the area of a triangle, which is half the product of the base and height.
For triangle JKL, with a base of 14 inches and a height of 14 inches, we have:
Area = (14 x 14) / 2 = 98 square inches
For triangle XYZ, with a base of 20 inches and a height of 8 inches, we have:
Area = (20 x 8) / 2 = 80 square inches
Therefore, triangle JKL has a greater area than triangle XYZ, as it has an area of 98 square inches compared to 80 square inches for triangle XYZ. This is because the base and height of triangle JKL are both larger than those of triangle XYZ.
To know more about area click here:
brainly.com/question/27683633
#SPJ4
Draw triangle JKL, with a height of 14 inches and a base of 14inches, and triangle XYZ, with a height of 8 inches and a base of 20 inches. Which triangle has the greater area? in 100 words
Two families at the zoo.
The smith family of two adults and three children pay £61.
The jones family of three adults and five children pay £96.
Work out the cost of and adult ticket and the cost of a child ticket.
Answer:
adult ticket £17
child ticket £9
Step-by-step explanation:
Let the cost of an adult ticket be X and child ticket be Y
make two simultaneous equations
2X+3Y=61
3X+5Y=96
solve for each variable by either substitution or elimination method
2X+3Y=61
X=(61-3Y)/2
3[(61-3Y)/2]+5Y=96
(183-9Y)/2 + 5Y=96
183-9Y+10Y=192
Y=9
X=(61-3(9))/2
X=17
The circumference of a circle is 6π ft. What is the area, in square feet? Express your answer in terms of
�
π.
Answer:
9π
Step-by-step explanation:
circumference=6ft
radius=3ft
radius squared=9ft
area=9ft ×π
area=9π
5 menos que el conciente de un número y 2.
The expression "5 less than the conscious number and 2" can be written mathematically as: n - 5 = 2
What is a Math Expression?A math expression is a combination of mathematical symbols, numbers, and variables that represents a mathematical statement or calculation. It can be as simple as a single number, such as 5, or as complex as a multi-term equation, such as 3x + 4y = 12.
Expressions can include arithmetic operations such as addition, subtraction, multiplication, and division, as well as other mathematical functions such as exponents, logarithms, and trigonometric functions.
How to solve the given expression?Where "n" represents the number in question. To find the value of "n", you can add 5 to both sides of the equation:
n - 5 + 5 = 2 + 5
This is the result:
n = 7
Therefore, the number in question is 7.
Read more about algebra here:
https://brainly.com/question/432678
#SPJ1
The question in English is:
(What is) 5 less than the conscious of a number and 2
At a football game, a vender sold a combined total of 137 sodas and hot dogs. The number of sodas sold was 49 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:
Answer:
From the problem, we know that:
s + h = 137 (the total number of sodas and hot dogs sold is 137)
s = h + 49 (the number of sodas sold is 49 more than the number of hot dogs sold)
Now we can substitute the second equation into the first equation:
(h + 49) + h = 137
Simplifying this equation:
2h + 49 = 137
Subtracting 49 from both sides:
2h = 88
Dividing both sides by 2:
h = 44
Now we know that 44 hot dogs were sold. We can use the second equation to find the number of sodas sold:
s = h + 49
s = 44 + 49
s = 93
Therefore, 93 sodas were sold.
Number of sodas sold: 93
Number of hot dogs sold: 44
Step-by-step explanation:
Answer: Let's use variables to represent the number of sodas and hot dogs sold.
Let x be the number of hot dogs sold.
According to the problem, the number of sodas sold was 49 more than the number of hot dogs sold, so the number of sodas sold is x + 49.
The problem also tells us that the combined total of sodas and hot dogs sold was 137. So we can set up an equation:
x + (x + 49) = 137
Simplifying the left side:
2x + 49 = 137
Subtracting 49 from both sides:
2x = 88
Dividing both sides by 2:
x = 44
So the number of hot dogs sold was 44.
To find the number of sodas sold, we can use the expression we set up earlier:
x + 49
Substituting in our value for x:
44 + 49 = 93
So the number of sodas sold was 93.
Answer: Number of sodas sold: 93, Number of hot dogs sold: 44.
Brainliest Appreciated
At an ice cream shop, the cost of 4 milkshakes and 2 ice cream sundaes is $23.50. The cost of 8 milkshakes and 6 ice cream sundaes is $56.50.
Order the steps below for solving this system of linear equations using the elimination method.
Write the correct number, 1 for first through 4 for last, in front of each step listed.
Choices: Solve for y, Substitute the value for y into one of the equations to determine the value of x, Subtract from the other equation, and Multiply the equation 4x + 2y = 23.50 by 2.
Step 1:
Step 2:
Step 3:
Step 4:
x = 3.375 and y = 5 provide the system of equations' answer.
How Do You Solve an Equation System?The process of figuring out the unknown variables while keeping the equations balanced on both sides is known as the system of equations method. We solve an equation system by identifying the value of the variable that makes the condition of all the provided equations true. There are numerous methods for solving a system of equations.
Multiply the equation 4x+2y=23.50 by 2.
From the other equation, subtract.
Calculate y using a solution.
To find the value of x, substitute the value for y into one of the equations.
To eliminate one variable (either x or y) while utilising the elimination method, the equations are added or subtracted.
To start, we can multiply the first equation by 2 to get rid of the 2y term:
8x + 4y = 47
Next, we can subtract the second equation from this equation to eliminate the 8x term:
2y = 10
y = 5
Now that we have solved for y, we can substitute this value into one of the original equations (let's use the first one) to solve for x:
4x + 2(5) = 23.50
4x + 10 = 23.50
4x = 13.50
x = 3.375
To know more about equations visit:-
https://brainly.com/question/12895249
#SPJ1
what function is f (-2)?
The value οf f(-2) fοr this functiοn is 12.
What is functiοn ?A functiοn is a mathematical rule οr prοcess that assigns a unique οutput value tο each input value. In οrder tο evaluate a functiοn at a specific input value, we need tο knοw the functiοn itself. The functiοn can be given in different fοrms, such as an equatiοn οr a graph, and we use these fοrms tο determine the οutput value fοr a given input value.
Fοr example, if we are given the equatiοn οf a functiοn[tex]f(x) = x^2 - 3x + 2,[/tex] we can evaluate f(-2) by substituting -2 for x in the equation:
[tex]f(-2) = (-2)^2 - 3(-2) + 2 = 12[/tex]
Therefοre, the value οf f(-2) fοr this functiοn is 12. Hοwever, if we are nοt given the equatiοn οr any οther infοrmatiοn abοut the functiοn, we cannοt determine its οutput at a specific input value.
To know more about function visit :
https://brainly.com/question/11624077
#SPJ1
Complete Qustion:
How to find f (- 2 for a function?
The triangle show below may not be congruent 
Answer:
Step-by-step explanation:
This is another question. It's not related to this question. Sorry.Please help! What do I graph?
Answer:
look at image
Step-by-step explanation:
Assume g and h are whole numbers, and g < h. Which expression has the least value?
Expression B has the least value if g and h are whole numbers, and
g < h.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Given that,
g < h
To determine which expression has the least value, we need to simplify each expression as much as possible and compare the results.
First, let's simplify expression A:
A = (h + g) * (h - g)
= h*h - g*g
Next, let's simplify expression B:
B = h*h- 2hg + g*g
Finally, let's simplify expression C:
C = h*h + 2hg + g*g
Now we can compare the expressions. We know that g < h, so g*g < h*h. Therefore, the smallest value will be produced by the expression with the smallest coefficient for the h*h term.
A has a coefficient of 1 for the h*h term, while B and C have coefficients of -2h and 2h, respectively. Since h is positive, -2h is the smallest coefficient, so expression B has the smallest value.
Therefore, expression B has the least value.
To learn more about Algebraic expression from given link.
brainly.com/question/953809
#SPJ1
Solve the equation.
5(y+2/5)=−13
y = ?
Answer:
-3
Step-by-step explanation:
5(y+2/5)=-13
5*y+5*2/5=-3
5y+2=-13
5y=-13-2
5y=-15
5y/5=-15/5
y=-3
Answer:
y = -3
Step-by-step explanation:
Now we have to,
→ Find the required value of y.
The equation is,
→ 5(y + (2/5)) = -13
Then the value of y will be,
→ 5(y + (2/5)) = -13
→ 5(y) + 5(2/5) = -13
→ 5y + (10/5) = -13
→ 5y + 2 = -13
→ 5y = -13 - 2
→ 5y = -15
→ y = (-15)/5
→ [ y = -3 ]
Hence, the value of y is -3.
Find the measure of angle NSR.
A)50
B)63
C)126
D)113
The measure of angle NSR.
D. angle NSR = 113 degreesHow to find the measure of the angleThe situation in the picture is when two chords intersect in a circle in this case the angle NSR is calculated using the formula
angle NSR = 1/2 (arc NR + arc QP)
Plugging in the values
angle NSR = 1/2 (176 + 50)
angle NSR = 1/2 (226)
angle NSR = 113 degrees
Learn more about angle at:
https://brainly.com/question/25770607
#SPJ!
A 15-foot ladder is leaning against a wall of a building. If the top of the ladder makes a 72° angle with the wall of the building, approximately how high above the ground is the top of the ladder?
Answer:
14.2665 feet above the ground
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's call the height of the ladder on the wall "h". Then we have:
sin(72°) = h/15
Multiplying both sides by 15, we get:
h = 15 sin(72°)
Using a calculator, we find that sin(72°) is approximately 0.9511. So:
h ≈ 15 × 0.9511
h ≈ 14.2665
Therefore, the top of the ladder is approximately 14.2665 feet above the ground.
The table gives the average number of days of rain in each month of the year. Find the mode of the given data. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Days of Rain 6 7 10 10 11 12 10 10 9 7 7 6 A. 7 B. 7 and 10 C. 9.5 D. 10
The mοde value fοr the table οf data given is οptiοn D. 10.
What is mοde?A mοde is described as the value in a grοup οf values that οccurs mοre frequently. The value that appears the mοst frequently is this οne.
The mοde is nοt necessarily unique tο a given discrete distributiοn, since the prοbability mass functiοn may take the same maximum value at several pοints x1, x2, etc. The mοst extreme case οccurs in unifοrm distributiοns, where all values οccur equally frequently.
The data is given fοr the average number οf days οf rain in each mοnth οf the year.
The mοde will the number οf days repeating itself mοre number οf times.
It can be seen that 10 is repeated 4 times amοng the data given.
Therefοre, the mοde value is 10.
To learn more about mode from the given link
https://brainly.com/question/27951780
#SPJ1
PLEASE HELP ASAP!!!
Question in photo