Lets make a pciture of the game room:
then, the perimeter is given by
\(x+x+15+15=90\)which is equal to
\(2x+30=90\)By moving 30 to the righ hand side, we have
\(\begin{gathered} 2x=90-30 \\ 2x=60 \end{gathered}\)then, x is given by
\(\begin{gathered} x=\frac{60}{2} \\ x=30 \end{gathered}\)This means that the answer is 30 feet, which corresponds to option b.
What is the slope passing through the points ( 11 ,-5) and (1 ,20)
Answer:
hope it helps...............
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
The third slot
Step-by-step explanation:
Answer:
i think it is y=4x+1
Step-by-step explanation:
|3d-3n|-4 if n=2 and d=3
Answer:
-1
Step-by-step explanation:
\(|3d-3n|-4\)
Once we have an absolute value, we know that
\(|3d-3n| \geq 0\)
\(\text{For }n=2 \text{ and } d=3\)
\(|3(3)-3(2)|-4\)
\(|9-6|-4\)
\(|3|-4\)
\(3-4\)
\(-1\)
Which coordinates are the best estimate of the solution to the system of equations. -3x+y=2 -4x+7y=1
The best estimate of the solution to the system of linear equations is the point are (x,y) will be (0.76, 4.30).
What is linear equations?A linear equation in two variables is one that is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Given:
as x,y are variables,
-3x + y = 2 ..............(1)
- 4x + 7y = 1 ...........(2)
We know that,
The solution of the system of linear equations is the intersection point of both graphs
Multiply equation (1) by 7 on both sides and then subtract it from eq (2)
- 4x + 7y = 1 ...........(2)
-21x + 7y = 14 ..............(1)
⇒- 17 x = -13
⇒ 17 x = 13
⇒ x =\(\frac{13}{17}\)
⇒ x = 0.76
Now on putting value of x = 0.76 in eq (1) we get
- 3x + y = 2 ............ (1)
⇒- 3(0.76) + y = 2
⇒y = 4.30
The best estimate of the solution to the system of linear equations is the point (x,y) will be (0.76, 4.30).
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What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
The cafeteria lunch menu lists:
Pizza Cheese, Sausage, Pepperoni
Dessert - Pudding or Cookie
Drink-Water, Milk, Soda
How many different lunch meals can you construct from these choices?
O 18
O
O 81
03
Answer: 18
Step-by-step explanation:
Multiply number of each item possible
3*2*3=18
A person leaves home and walks 4 miles west, then 5 miles southwest.
How far from home is she?
miles
In what direction must she walk to head directly home?
degrees North of East
The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.
To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).
To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).
To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.
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The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
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g 5 points It is known that a certain lacrosse goalie will successfully make a save 80% of the time. (Assume that all save attempts are independent.) Suppose that the lacrosse goalie attempts to make 12 saves. (Round answers to three decimal places.) (a) What is the probability that the lacrosse goalie will make at least 10 saves
Answer:
The probability that the lacrosse goalie will make at least 10 saves is 0.558.
Step-by-step explanation:
Let X denote the number of saves the lacrosse goalie will successfully make.
It is provided that the probability of the lacrosse goalie making a successfully save is, p = 0.80.
It is assumed that all save attempts are independent.
Suppose that the lacrosse goalie attempts to make n = 12 saves.
The random variable X follows a binomial distribution with parameters n = 12 and p = 0.80.
Compute the probability that the lacrosse goalie will make at least 10 saves as follows:
\(P(X\geq10 )=P(X=10)+P(X=11)+P(X=12)\)
\(={12\choose 10}(0.80)^{10}(0.20)^{2}+{12\choose 11}(0.80)^{11}(0.20)^{1}+{12\choose 12}(0.80)^{12}(0.20)^{0}\\\\=0.2835+0.2062+0.0687\\\\=0.5584\\\\\approx 0.558\)
Thus, the probability that the lacrosse goalie will make at least 10 saves is 0.558.
Some IQ test are standardized to a normal model, with a mean of 100 and a standard deviation of 15
(a) in what interval would you expect the central 95% of IQ scores to be found
(b) About what percent should have IQscores above 115
(c) About what percent of people should have IQ scores between 70 & 85
(d) About what percent should have IQ scores above 130%
Answer:
(a) The central 95% of IQ scores in a standardized test would be found in the interval from 85 to 115. This is because a normal distribution is symmetric around the mean, and 95% of the data falls within two standard deviations of the mean. So, the interval would be mean - 2standard deviation to mean + 2standard deviation i.e. 100 - 215 to 100 + 215 = 85 to 115
(b) About 2.5% of people should have IQ scores above 115. This is because the IQ scores follow a normal distribution and IQ scores above 115 are considered to be in the top 2.5% of the distribution.
(c) About 16% of people should have IQ scores between 70 and 85. This is because the IQ scores follow a normal distribution, and IQ scores between 70 and 85 fall within one standard deviation of the mean (85 is one standard deviation below the mean and 70 is one standard deviation below that)
(d) About 0.1% of people should have IQ scores above 130. This is because IQ scores above 130 are considered to be in the top 0.1% of the distribution.
Step-by-step explanation:
The volume of a cone of height 4cm is 48cm². Find the radius (take π=22/7)
Answer:
22
Step-by-step explanation:
Is easy just multiple
Which of these expressions is equivalent to log(16 • 14)?
CA. 16 log (14)
OB. log(16)+ log(14)
C. log(16) log(14)
D. log(16)-log(14)
The equivalent expression of log(16 × 14) is log 16 + log 14.
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expressions are expressions that have similar value or worth but do not look the same.
Therefore, the equivalent expression of log(16 × 14) can be found as follows:
using logarithm law,
The log of a product is the sum of the logs.
logₐ xy = logₐ x + logₐ y
Therefore,
log(16 × 14) = log 16 + log 14
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The dot plot shows the number of televisions owned by the families in a neighborhood
The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.
The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.
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Which equation has a solution of 5 and -5?
A)x^2 -10x +25= 0
B) X^2 +10x + 25=0
C) X^2 +25= 0
D) X^2 -25=0
Answer:
D) x²-25
Step-by-step explanation:
(x+5)(x-5) = x² + 5x - 5x - 25 → x² - 25
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answer:
\(\displaystyle d = 34\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: \(\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}\)(Parenthesis) Add: \(\displaystyle d = \sqrt{(0)^2+(34)^2}\)[√Radical] Simplify: \(\displaystyle d = \sqrt{(34)^2}\)[√Radical] Evaluate: \(\displaystyle d = 34\)identify the terms that are substituted for supply chain. (check all that apply.) multiple select question. supply web supply network extended enterprise demand chain lean operation
The following phrases are used in place of supply chain:
Supply network ; Demand chain ; Extended enterprise ; Supply web.
Explain about the supply chain?The supply chain is a networked system of businesses, people, information, and assets created to locate, produce, and transport items from their point of origin to their final destination, which is often from the a supplier to a customer.
Modern supply chains sometimes span several nations and involve numerous processes, making them exceedingly complicated.
The fundamental steps in such a supply chain are as follows:
original source or raw material extractiontransforming raw materials into simple componentsputting together basic components into completed goodsdistributing finished goods to customersdelivering completed goods to customers or end usersThus, the following phrases are used in place of supply chain:
Supply network ; Demand chain ; Extended enterprise ; Supply web.
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Larry and Donna bought a sofa at the sale price of $1,152. The original price of the sofa was $1,920.
Find the amount of discount in dollars.
The discount in dollars is $768.
This is a question of simple subtraction.
A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time
Discounted Amount means an amount equal to the sum of the Offer Discount, Volume Discount and Payment Discount, applied to the List Price of all Eligible Products ordered by the Customer under these Terms.
Larry and Donna bought a sofa at the sale price of $1152.
The original price of the sofa was $1920.
So, Discounted amount of the sofa= (Original price of the sofa- Sale price of the sofa)
i.e, ($1920-$1152)= $768.
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4,7,14,49, next number is what
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
Alan, Bob, and Candy sold tickets to raise money for charity. Alan sold 125 tickets. Bob sold 14 times as many tickets as Alan, Candy sold half as many tickets as Bob. How many tickets did they sell altogether
Answer:
2750
Step-by-step explanation:
Alan - 125
Bob - 14×125
Candy - 7×125
125×(1+14+7)= 22×125=2750
HELPPP I don’t know what the answer is.
Answer:
aaaaaaaaaaAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Am I correct? Will give brainilest to correct answer!
Answer:
Yes 6/3=2 simplified which is way bigger than 2/3
Step-by-step explanation:
Answer:
\( \frac{6}{3} > \frac{10}{15} \)
Option AStep-by-step explanation:
6/3=2
10/15 = 2/3 = 0.66...
2 > 0.66
Find an angle in each quadrant with a common reference angle with 319°, from 0°≤θ<360°
The angles with a common reference angle of 319° in each quadrant are:
First quadrant: 319°, Second quadrant: -139°, Third quadrant: 139°, Fourth quadrant: 41°.
To find an angle in each quadrant with a common reference angle of 319°, we can start by subtracting 360° from 319° repeatedly until we get a result between 0° and 360°. This is because angles that differ by a multiple of 360° are coterminal, which means they have the same reference angle.
319° - 360° = -41° (not in the range 0° to 360°)
319° - 2(360°) = -401° (not in the range 0° to 360°)
319° - 3(360°) = -721° (not in the range 0° to 360°)
319° - 4(360°) = -1041° (not in the range 0° to 360°)
319° - 5(360°) = -1361° (not in the range 0° to 360°)
319° - 6(360°) = -1681° (not in the range 0° to 360°)
319° - 7(360°) = -2001° (not in the range 0° to 360°)
Since none of these results are in the range of 0° to 360°, we need to add multiples of 360° instead.
319° - 1(360°) = -41° (not in the range 0° to 360°)
319° - 0(360°) = 319°
319° + 1(360°) = 679° (not in the range 0° to 360°)
319° + 2(360°) = 1039° (not in the range 0° to 360°)
319° + 3(360°) = 1399° (not in the range 0° to 360°)
So, the angle with a common reference angle of 319° in the first quadrant (0° to 90°) is:
θ = 319° - 1(360°) = -41° + 360° = 319°
The angle with a common reference angle of 319° in the second quadrant (90° to 180°) is:
θ = 180° - 319° = -139°
The angle with a common reference angle of 319° in the third quadrant (180° to 270°) is:
θ = 319° - 180° = 139°
The angle with a common reference angle of 319° in the fourth quadrant (270° to 360°) is:
θ = 360° - 319° = 41°
Therefore, the angles with a common reference angle of 319° in each quadrant are:
First quadrant: 319°
Second quadrant: -139°
Third quadrant: 139°
Fourth quadrant: 41°
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Which of the following rules represents the function shown in the table?
f(x)=n+3
f(x)=3n
f(x)=1/3n
Answer:
f(x)=3n
Step-by-step explanation:
We can see it goes x=2 to y=6 this has been times by 3, x=-1 to y=-3 also times by 3 and x=0 y=0 0x3=0
TRUE or FALSE: The regression equation is always the best predictor of a y value for a given value of x. Defend your answer.
Answer:
FALSE
Step-by-step explanation:
The regression equation is a prediction model which is generated for a given independent, x and dependent, y variable. The regression model is usually ideal when both the dependent and independent variables are numerical. The regression equation cannot be generated if either the x or y value is non-numeric. In such situation, classification models may be better suited for such cases especially if there is no efficient method of converting the non-numeric column into a numeric variable.
how do i write 152 as a mixed number
Answer: 1 13/25
Step 1: Write down the percent divided by 100 like this:
152% = 152/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 152 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(152,100) = 4. So,
(152÷4)/(100÷4) = 38/25 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 152/100 is also equal to 1 13/25 when expressed as a mixed number.
So. Borrrrrring uhhhhh
I know right
Step-by-step explanation:
tell me about it