Answer: ( -9, -8)
Step-by-step explanation:
When reflected across the y-axis, the y-coordinate will be the opposite!
So the answer is (-9, -8)
45% of the fish in a pond are perch, 3/10 of the fish are carp and the rest of the fish are trout. Write the ratio of perch to carp to trout in this pond in its simplest form
Answer:
The ratio of perch to carp to trout in the pond is 3:3:4, which is the simplest form. This means that for every 3 perch, there are 3 carp and 4 trout.
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
The probability that the person uses exactly one of the facilities is 0.8.
Given that, there are 120 people in a sport center.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Now, the person uses exactly one of the facilities
= 78+46+41-(21+16+24+9)
= 165-70
= 95
So, probability =95/120
= 0.8
Therefore, the probability that the person uses exactly one of the facilities is 0.8.
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a tree that is 15 feet tall casts a shadow that is 4 feet long. what is the distance from the top of the tree to the tip of the shadow? round to the nearest tenth.
By using trigonometry, it can be calculated that-
Distance from the top of the tree to the tip of the shadow is 15.46 feet
What is Trigonometry?
Trigonometry shows the relationship between sides and angles of a right angled triangle.
There are six trigonometrical functions
[tex]sin \theta, cos \theta, tan \theta, cot \theta, sec \theta, cosec \theta[/tex]
[tex]sin \theta = \frac{Perpendicular}{Hypotenuse}\\\\cos \theta = \frac{Base}{Hypotenuse} \\\\tan \theta = \frac{Perpendicular}{Base} \\\\cot \theta = \frac{Base}{Perpendicular} \\\\sec \theta = \frac{Hypotenuse}{Base} \\\\cosec \theta = \frac{Hypotenuse}{Perpendicular} \\\\[/tex]
Let the angle of elevation be [tex]\theta[/tex] and distance from the top of the tree to the tip of the shadow be d feet
Here the tree represents the perpendicular, shadow represents the base and distance from the top of the tree to the tip of the shadow represents the hypotenuse
A tree that is 15 feet tall casts a shadow that is 4 feet long
[tex]tan\theta = \frac{15}{4}\\\theta = tan^{-1}( \frac{15}{4})\\\theta = 75.1^{\circ}[/tex]
Now,
[tex]sin75.1^{\circ} = \frac{15}{d}[/tex]
[tex]0.97 = \frac{15}{d}\\d = \frac{15}{0.97}\\d = 15.46 \ feet[/tex]
Distance from the top of the tree to the tip of the shadow is 15.46 feet
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How do you split an infinitive in a sentence?
To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.
In the given question we have to explain, how we split an infinitive in a sentence.
As we know that,
Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.
To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.
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Eliza is making a batch of candles to sell at a craft
fair. The materials for one candle cost $3. If she
adds a 75% markup, how much money does she
charge for a candle?
Answer:
$5.25
Step-by-step explanation:
3 + .75(3)
3 + 2.25
5.25
On January 1, a nasty species of algae is mistakenly introduced into Lake Skinner. It grows in such a way that it doubles every day. If it continues to grow like this, the lake will be totally covered and the fish in the lake will suffocate. At the rate it is growing, this will happen on January 30.
1). When will Lake Skinner be covered halfway?
2). On January 26, you convince your friend that the lake will be completely covered soon. Your friend laughs. Why is your friend skeptical?
3). One January 29 a cleanup crew arrives and is able to remove most of the algae. When they are done on February 1, only 1 % of the surface is covered. How well does this solve the problem in Lake Skinner?
Answer:
1). If the algae doubles every day, it will take 15 days for it to cover half the lake. This means it would happen on January 15.
2). Your friend may be skeptical because they may not believe that the algae can grow so quickly and cover the entire lake in just 30 days. Alternatively, they may not believe that you have accurate information about the situation.
3). Removing most of the algae on January 29 would significantly reduce the amount of algae in the lake and would likely help prevent the lake from becoming completely covered. However, if 1% of the surface is still covered with algae on February 1, it is possible that the problem has not been fully solved and the algae could continue to grow and potentially become a problem again in the future. It would be best to continue monitoring the lake and taking action to prevent the algae from growing.
mia is taking art and calculus courses on mondays. she is late for the art class with probability 0.5 and late for the calculus class with probability 0.4. suppose the two events are independent. what is the probability that mia is on time to exactly one of the classes?
The probability that Mia is on time to exactly one of the classes is 0.5
Given that
probability of she is late for the art class (x)= 0.5
probability of she is late for the calculus class(y) = 0.4
the probability of she is not late for the art class (z)= 1 - x = 1 - 0.5 =0.5
the probability of she is not late for the calculus class(p)= 1 - y = 1 - 0.4 = 0.6
the probability that Mia is on time to exactly one of the classes =
Probability of arriving (late for Calculus and on time for Art)) or (late for Calculus and on time for Art)
= (x × p) + (y × z)
=(0.5 × 0.6) +(0.4 × 0.5)
=0.3+0.2
= 0.5
The probability that mia is on time to exactly one of the classes = 0.5
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x+2 over 3 = 2x-6 over 8
Point Q is on line segment PR. Given PR = 10 and QR = 8 determine the length PQ.
By means of Euclidean geometry and algebra, the line segment PQ has a length of 2 units.
How to determine the length of a line segment
In this problem we find the case of a geometric system formed by a line segment PR with a point Q on the line between P and R. Thus, a line segment PQ is inside the line segment described above.
According to the statement, the lengths of the line segments PR and QR are known and the length of line segment PQ can be known by Euclidean geometry and algebra:
PR = PQ + QR
PQ = PR - QR
If we know that PR = 10 and QR = 8, then the line segment PQ is calculated below:
PQ = 10 - 8
PQ = 2
In accordance with algebra and Euclidean trigonometry, the length of line segment PQ is 2.
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Part A Fill in the blank question. A model car is for sale online. Beginning on day one, the owner discounts the price by 5% each day until it sells. On the third day the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? $ Part B Fill in the blank question. What percent discount does this represent from the original price? Round to the nearest whole percent.
Part A) If the original price of the model car was $40, and it was sold on the third day, with a daily discount of 5%, the sales amount is $34.30.
Part B) The percentage discount from the original price is 14%.
Calculating the percentage discount:The percentage discount is the total discount divided by the original price multiplied by 100.
In this instance, we compute the total discount as $5.70, then express this value as a numerator with $40 as the denominator. The quotient is multiplied by 100.
Original price of the model car = $40
Daily discount = 5%
The date the car sells = the third day
The sales price on the third day = $34.30 ($40 x 95% x 95% x 95%)
Total discounts = $5.70 ($40 - $34.30)
Percentage discount for three days =14.25% ($5.70/$40 x 100)
= 14%
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a sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.05 mm and a sample standard devia- tion of .34 mm. the desired true average thickness of such lenses is 3.20 mm. does the data strongly suggest that the true average thickness of such lenses is some- thing other than what is desired? test using a 5 .05.
A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."
Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.
Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05
False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'
Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis
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What is the value of x? Responses 3 12 6√2 6
Applying the sine ratio, the value of x is calculated as: x = 6.
How to Find the Value of x Using the Sine Ratio?The sine ratio is part of the trigonometric ratios that is used to solve a right triangle, which is expressed as:
sin ∅ = opposite side length / hypotenuse length
Given the following:
Reference angle (∅) = 45°Opposite length = 6√2Hypotenuse length = xApply the sine ratio to find the value of x:
sin 45 = 6√2/x
Multiply both sides by x
sin 45 × x = 6√2
Divide both sides by sin 45:
sin 45 × x / sin 45 = 6√2/sin 45
x = 6√2 / √2/2
x = 6√2 × 2/√2
x = 12/2
x = 6
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Sophie is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 51, find Sophie's age.
2 m
1 m
I
3m
The area of each of the bases will be
The
area of the right and left lateral faces will be
m².
✓m².
The area of the front and back lateral faces will be
m².
The lateral area of the prism will be
The surface area of the prism is 22 m².
m².
I have no idea im doing the same thing
82% of Ms.M's students increase their math SAT score. Of those, 75% increase their score by at least 100 points. Overall, what percent of students increase their math SAT score by at least 100 points?
Step-by-step explanation:
80()#-$/-38३८8३88353738३३
if p1, p2 and p3 are probabilities of surviving for years 1, 2 and 3 respectively, what is the cumulative probability of surviving for 3 years?
If p1, p2 and p3 are probabilities of surviving for years 1, 2 and 3 respectively, then the cumulative probability of surviving for 3 years is p1 + p2 + p3
The probability of surviving for 1 year = p1
The probability of surviving for 2 year = p2
The probability of surviving for 3 year = p3
The probability is the ratio of the number of favorable outcomes to the total number of outcomes.
The cumulative probability is defined as the probability distribution of random variables
The cumulative probability = p1 + p2 + p3
Therefore, the cumulative probability of surviving for 3 years is p1 + p2 + p3
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Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The solution of the given linear equation can be obtained as x = 0.4.
What is meant by the distributive property?The distributive property states that the product of a number and the sum of other numbers is equal to the sum of their individual products.
It can be expressed as a(b + c + d) = ab + ac + ad.
The given linear equation can be solved as follows,
-2.5(4x - 4) = -6
Use distribute property in the RHS to obtain,
-2.5 × 4x - 2.5 × -4 = 6
=> -10x + 10 = 6
=> -10x = -4
=> x = 0.4
Hence, the given equation can be solved as x = 0.4.
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What is the 1st perfect number?
The smallest perfect number is 6.
Any positive integer whose sum is equal to its divisors is known as a perfect number. A point to be noted is that the number itself is not included here.
If we go serially,
1 cannot be included as its only divisor is the number itself.
2's divisor is 1, and we can clearly see they are not equal.
3's divisor is 1 again. Hence not a perfect number.
4's divisor is 1 and 2. 1 + 2 = 3, which again is not 4.
5's divisor is 1.
6's divisors are 1, 2 and 3.
We can see that 1 + 2 + 3
= 6
Hence, the smallest perfect number is 6.
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6 is the smallest or first perfect number in a mathematics.
Any positive integer in which whose sum is equal to its divisors is known as a perfect number. A point is to be noted that should not be a number itself is not included here as required so the number should be deterministic .
1 is a number cannot be included as its only divisor is the number to itself.
2's divisor is 1, and we can clearly see that they are not equal.
3's divisor is 1 again. Hence the number 1 is not a perfect number.
4's divisor is 1 and 2. 1 + 2 = 3, which again is not 4.
5's divisor is 1.
6's divisors are 1, 2 and 3.
We can see that 1 + 2 + 3 = 6
Hence, the smallest perfect number is 6.
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Drag each tile to the correct box. Not all tiles will be used.
Given a horizontal line segment AB and a point C, place the steps for copying AB to create CD in the proper order.
By using the rule of construction of a line segment,
The steps for copying line segment AB to create line segment CD in the proper order are given below.
What is a line?
Anything that has only length but no breadth and height is called a line.
Part of a line is called line segment.
The steps for copying line segment AB to create line segment CD in the proper order are
Step 1: Set the compass width to AB
Step 2: Place the compass point at point c and draw an arc
Step 3: Mark a point D anywhere on the arc
Step 4: Draw CD
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point f is at 4, and point g is at. Point h lies between point f and point g. If the ratio of fh to hg is 3 : 9, where does point h lie on the number line? point h is at on the number line.
The point H is at 2.5 on the number line
Here we know that point F is at 4 and point G is at -2.
The distance between these 2 points is
4 - (-2)
= 4 + 2 units
= 6 units.
Now let the point H be at x on the number line.
Now it is given that
FH:GH = 3:9
or, FH/GH = 3/9
or, (4 - x) / (x - (-2)) = 3/9
or, (4 - x)/(x + 2) = 1 /3
or, 12 - 3x = x + 2
or, 4x = 10
or, x = 2.5
Hence point H is at 2.5
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Complete Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3:9, where does point H lie on the number line? Point H is at the number line.
the owner of a smoothie shop wants to survey customers to find out what new fruits should be added to the menu
Answer:
Step-by-step explanation:
Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipts.
Its correct I got it right!!
The approach which is most likely to represent a sample that is representative of the population is option C. Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipt.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
The random sample we need here is the sample of customers coming to a shop.
If we select the customers by the other options other than the third one, it will lead to various bias issues like sampling bias and research bias.
Hence the most appropriate method is to use option c.
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The length of a clothe is 9m, it was increased to 12m, what is the percent of change.
Answer:
33.33%
Step-by-step explanation:
Calculate percentage change from
V1 = 9 to V2 = 12
(V2-V1)|V1|×100
=(12−9)|9|×100
=3/9×100
=0.333333×100
=33.33%
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
•A. Infinitely many
•B. Two
•C. Zero
•D. One
Question
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
•A. Infinitely many
•B. Two
•C. Zero
•D. One
D: One is the answer
2,158 divide by 26. A.80 B.83 C.86 D.89
Answer: B.83
Step-by-step explanation:
Answer: B.83
Step-by-step explanation:
The number 2,158 is called the numerator or dividend, and the number 26 is called the denominator or divisor.
The quotient of 2,158 and 26, the ratio of 2,158 and 26, as well as the fraction of 2,158 and 26 all mean (almost) the same:
2,158 divided by 26, often written as 2158/26. 2,158 divided by 26 = 83
The result of 2158/26 is an integer, which is a number that can be written without decimal places.
2158 divided by 26 in decimal = 83
2158 divided by 26 in fraction = 2158/26
2158 divided by 26 in percentage = 8300%
HOPE THIS HELPS!Dante can type 48 words in 6 minutes. What is his rate in words per minute.
Answer:
8 words per minute.
Step-by-step explanation:
Divide 48 by 6
thor weighs 192 pounds and plans on losing 2.1 pounds each month. belvedere weighs 211 pounds and plans on losing 7.5 pounds per month. If they stick to their plans, how many months will it take for belvedere to weigh the same as thor
By solving a linear equation, it can be calculated that-
It takes 3.51 months for Belvedere to weigh the same as Thor
What is a linear equation?
At first it is important to know about 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.
A linear equation needs to be solved here
Let the number of months for Belvedere to weigh the same as Thor be x months
Thor weighs 192 pounds and plans on losing 2.1 pounds each month.
Weight of Thor after x months = 192 - 2.1x
Belvedere weighs 211 pounds and plans on losing 7.5 pounds per month.
Weight of Belvedere after x months = 211 - 7,5x
By the problem,
The linear equation is
192 - 2.1x = 211 - 7.5x
7.5x - 2.1x = 211 - 192
3.51 5.4x = 19
x = [tex]\frac{19}{5.4}[/tex]
x = 3.51 months
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Consider the exponential function: f(x) = 3 the initial value for this function is. The base for this function is. The domain for this function is. The range for this function is.
For Function 3(5/4)³ , 3 is inital value , 5/4 is base with (-∞, ∞) as Domain
An exponential function is one with the mathematical formula f (x) = ax, where "x" is a variable and "a" is a constant that serves as the function's base and must be greater than 0.
An exponential function f(x) = abˣ,
Domain is the set of all real numbers (or) (-∞, ∞).Range is f(x) > d if a > 0 and f(x) < d if a < 0.According to the question,
The given exponential function : f(x) =3(5/4)³
Here, 3 is the Inital value
The base of the function is 5/4
As the function is real, Domain = (-∞, ∞)
The function given only has one value. That is the entirety of its range: [3(5/4)^3, 3(5/4)^3]
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what is 55/100 as a decimal
Please help!! 20 points to anyone who gives the RIGHT answer!!
What 2 numbers have a sum of 3 and a product of -10?
the answer is 5 and negative 2