Answer:
27(1/2) → [Mixed fraction]
Step-by-step explanation:
Given addition: 7(7/8) + 5(13/16)
Convert all the two mixed fractions to proper fractions.
= {(56+7)/8} + {(80 + 13)/16}
= (63/8) + (93/16)
Take the LCM of the denominator 8 and 16 is 16.
= {(63*2 + 93*1)/16}
= {(126 + 93)/16}
= (220/16)
Write to fraction in lowest form by cancelling method.
= (220÷2)/(16÷2)
= 110/8
= (110÷2)/(8÷2)
= 55/2
Write the obtained answer in the form of mixed fraction.
= 55/2 = 27(1/2) Ans.
Please let me know if you have any other questions.
Find the area and perimeter of each shape.
Answer:
perimeter=4l then multiply with how many square are there
then area = l²
multiple with how many square are there
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 12 fl oz per minute. How fast was the pipe leaking in gallons per hour?
Answer:
720 oz per hour
Step-by-step explanation:
The table shows data from a local landscaper, estimating the area of flower gardens (x) in square feet, and the dollar cost to install them (y).
when using the median-fit method with summary points (10, 120), (15, 150), and (25, 200), what is the equation of the best-fit model?
y = 5.33x + 67.78
y = 5.94x + 70.00
y = 6.00x + 56.67
y = 6.00x + 60.00
x y
5 75
10 120
12 130
14 140
15 150
18 160
20 175
25 200
30 240
The equation of the best-fit model using the median-fit method is:
y ≈ 5.94x + 70.00
To find the equation of the best-fit model using the median-fit method, we need to calculate the median values of x and y and use them as the summary points.
Given the data points:
(10, 120), (15, 150), and (25, 200)
The median values of x and y are:
Median x = 15
Median y = 150
Now, we can use the median values in the equation of a line (y = mx + c) to find the best-fit model:
Substituting the median values:
150 = m * 15 + c
To solve for m and c, we can use any of the three data points. Let's use (10, 120):
120 = m * 10 + c
We now have a system of equations:
150 = m * 15 + c
120 = m * 10 + c
Solving this system of equations, we find:
m ≈ 5.94
c ≈ 70.00
Among the options provided, the closest match is:
y = 5.94x + 70.00
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ILL MARK U BRAINLIEST!!
Answer:
unlikely
Step-by-step explanation:
What proportion of a normal distribution falls between z = 1.16 and z = +1.16?
A) 0.3770
B) 0.6230
C) 0.2460
D) 0.7540
The proportion of a normal distribution that falls between z = 1.16 and z = +1.16 is 0.3770, which corresponds to option A.
The area under the standard normal curve between two z-scores can be found using the standard normal distribution table.
Since the area under the curve is symmetric around the mean (which is 0 for the standard normal distribution), the area between z = -1.16 and z = 1.16 is the same as the area between z = 0 and z = 1.16, which is half the total area between z = -1.16 and z = 1.16.
Using the standard normal distribution table, we find that the area to the right of z = 1.16 is 0.1230. Therefore, the area between z = 0 and z = 1.16 is:
0.5 - 0.1230 = 0.3770
So the proportion of a normal distribution that falls between z = 1.16 and z = +1.16 is 0.3770, which corresponds to option A.
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Please show your work. I will give brainliest to the right answer!
Answer:
\(y = \frac{1}{8}(x + 4)^2 + 4\)
Step-by-step explanation:
Given:
Focus of parabola: (-4, 6)
Directrix: y = 2
Required:
Equation for the parabola
SOLUTION:Using the formula, \( y = \frac{1}{2(b - k)}(x - a)^2 + \frac{1}{2}(b + k) \) , the equation for the parabola can be derived.
Where,
a = -4
b = 6
k = 2
Plug these values into the equation formula
\( y = \frac{1}{2(6 - 2)}(x - (-4))^2 + \frac{1}{2}(6 + 2) \)
\(y = \frac{1}{2(4)}(x + 4)^2 + \frac{1}{2}(8)\)
\(y = \frac{1}{8}(x + 4)^2 + \frac{8}{2}\)
\(y = \frac{1}{8}(x + 4)^2 + 4\)
what is aquare root of 16
Answer:
The square root of 16 is 256.
hope it helps
A triangle has an area of 42cm2. The height of the triangle is 14 centimeters. What is the length of the base of the triangle?
Answer:
6 cm
Step-by-step explanation:
The area of a triangle can be calculated using the formula:
Area = (1/2) * base * height
We are given that the area of the triangle is 42cm2 and the height is 14cm. Substituting these values into the formula, we get:
42 = (1/2) * base * 14
Multiplying both sides by 2, we get:
84 = base * 14
Dividing both sides by 14, we get:
base = 6
Therefore, the length of the base of the triangle is 6 centimeters.
Kindly help me solve this questions
a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2
Answer:
a) x=6
b) x= 498/463
hope this helps!!
what is 59 estimted by 65
59 estimated by 65 would be 60.
How to estimate a number by another number ?To estimate a number by another number means to find a value that is close to the original number but is easier to work with or understand. Estimation is a method of making quick calculations or approximations, often without the use of a calculator or other precise tool.
To estimate 59 by 65, you can use rounding to the nearest ten. To do this, round both 59 and 65 to the nearest ten, which is 60. Therefore, 59 estimated by 65 is 60.
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Use the Distributive Property to find (5s+6)(s−2).
Answer:
5s^2 - 4s - 12
Step-by-step explanation:
Answer:
5s^2+4-12
Step-by-step explanation:
which one is x and y?
Answer:
Im gonna take a guess and say that the number of students is x and the $ collected is y
Step-by-step explanation:
After training a logistic regression model to predict malignant vs. benign tumors from medical images, we apply the model to make a prediction on a new observation. The output of the sigmoid function is 0.64. What category does our model predict for this new observation
Since the output of the sigmoid function is 0.64, the predicted probability of the observation being malignant is 0.64. We need to set a threshold probability to classify the observation as malignant or benign.
If we set the threshold probability at 0.5, the observation would be classified as malignant, since the predicted probability (0.64) is greater than the threshold probability. However, the choice of threshold probability depends on the specific problem and the costs associated with false positives and false negatives. So, the predicted category would be malignant if the threshold probability is set at 0.5.
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convert into degree: 400 grade
please help)):
50 points help pls
Question: state whether the figure appears to have a line symmetry (write yes or no). If so, draw all lines of symmetry
Answer:
No, it doesn't have all lines of symmetry
Step-by-step explanation:
If you can see, the triangle's line of symmetry is from a vertex to the center of another line. So, draw a line from the bottom left vertex (corner) to the center of the right side/line. And then, draw another from the right corner to left center line.
Find the new amount given the original amount and the percent of change.
$6; 10% increase
Answer:
$6.60
Step-by-step explanation:
If it is a 10% increase, you change the 10% to 0.1.
Then multiply the 0.1 and the $6 together which you will then get 0.6.
Then add the original amount ($6)
$6 + $0.6 = $6.60
Fine the equation of the line.
Answer:
what is the line.............
7 1/2 divided by 3/5
Answer:
12.5
Step-by-step explanation:
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
BRAINLIEST
can anybody help maybe b
Answer:
B
Step-by-step explanation:
i took i test trust me ( :
PLS HELP I NEED IT!!!
There is a population of 100,000 bacteria in a colony. If the number of bacteria doubles every 12
hours, what will the population be 24 hours from now?
Answer:400,000
Step-by-step explanation:If it doubles every 12 hours then the first 13 gone be 200,000 then 12 hours later it gone 400,000
lol i still dont get it i need a smartt brainlist help pleaseee
please helpppppppppppppppppppppppppppppppppppppppp
Convert the following fractions into percent and decimals.
1/4, 1/25 , 1/6 , 1/3
Answer:
1/4 is 0.25
1/25 is .04
1/6 is 0.16
1/3 is 0.3
If TV and Wý are parallel lines and m<TUX = 122°, what is m<VUS? HELP ASAP
Answer:
m∠VUS = 122
Step-by-step explanation:
m∠TUX = 122°
∴m∠VUS = 122°(vertically opposite angles are equal)
hope this helps you!!
The solution is, m∠VUS = 122
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the diagram, we get,
m∠TUX = 122°
∴m∠VUS = 122°
(vertically opposite angles are equal)
Hence, The solution is, m∠VUS = 122.
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10. Graph x³ - 3x² + 2 = 0.1-x. What are the solutions to the equation?
O
x = -2.1, x= -1.5, and x = 0.6
x = -0.6, x = 1.5, and x = 2.1
x= -1.5, x = -0.6, and x = 2.1
x = -1.5, x = 0.6, and x = 2.1
Correct option is B, the solutions to the equation are x = -0.6, x = 1.5, and x = 2.1. Following is the graph.
The three most popular types of graphs are bar graphs, circle graphs, and line graphs. Different sorts of graphs can be used to display various types of data.
A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The points on a graph are typically used to depict the relationships between two or more things.
Common graph types include line graphs, bar graphs, pie charts, scatter plots, and histograms. Graphs are an excellent tool for visualizing data and presenting statistics.
As, we can see from the graph that option B satisfies the graph.
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what’s the area of the trapezoid
Answer:
1/2(15)(50 + 30)
1/2(15)(80)
1/2(1200)
600m²
Step-by-step explanation:
Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data gives an indication:
Number of Similar Preferences Number of Married Couples
All Four 34
Three 131
Two 124
One 71
None 15
What is the sample space in this problem?
The sample space in this problem is the total number of married couples who were studied for their personality type preferences.
The sample space is the set of all possible outcomes or events in a particular study or experiment. In this case, the sample space refers to the total number of married couples who were included in the study on personality type preferences. It is the entire population of interest for this problem, and it includes all the couples who were surveyed and their respective scores on the personality type preferences.
The data provided in the question is a representation of the sample space, and it shows the number of married couples with different levels of similarity in their personality type preferences.
The sample space in this problem, which refers to the total number of possible outcomes, can be found by summing the number of married couples with each level of similar preferences.
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Math, Please Help 15 points
Step-by-step explanation:
(5x - 2y³)² = (5x - 2y³)(5x - 2y³) =
25x² - 10xy³ - 10xy³ + 4y⁶ = 25x² - 20xy³ + 4y⁶
so, the third answer option is correct.
Okay so I'm in 9th grade and i have to solve this equation it's a lil tricky so may ya'll help me please.
15 = -h
Answer:
h= -15
Step-by-step explanation:
you have to move the negative from the h to the other side :)
(-2)-(-3)=
(Is it okay if you explain how you got the answer I’m bad at math )
Answer:
1
Step-by-step explanation:
So we let's simplify
(-2) is still -2 so you could put away the parenthesis -(-3) you need to distribute or multiply the - to -3 negative times negative is positive so it will become 3
Now the equation looks like this:
-2+3= 1
Answer:
the answer is 1
Step-by-step explanation:
ok, so you see that there's a negative sign in front of (-3). even if there's no other number in front of the parentheses, there's actually a -1, its just that math omits the 1 to make life easier. With that in mind, whenever you see an even amount of negative signs, the answer's gonna be positive. In this case you just multiple -3 and the negative sign to get +3, and since there's a -2 in front of the -3, you add them together (-2+3) to get 1
Hope this isn't too much info for you :'D
A sample of bacteria taken from a river has an initial concentration of 2.1 million bacteria per milliliter and its concentration triples each week. (a) Find an exponential model that calculates the concentration after x weeks. (b) Estimate the concentration after 1.6 weeks. (a) B(x) = (Type an equation usingx as the variable.)
The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.
This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.
To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.
The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.
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