Answer:
A= 180-41=
A= 139 degrees
B= 180-41
B = 139 degrees
Step-by-step explanation:
On a straight line its 180 degrees
A is separating a straight line with a 41-degree angle so.
A= 180-41
A= 139 degrees
B is also separating a straight line with a 41-degree angle so.
B= 180-41
B = 139 degrees
Answer:
Hi
Please mark brainliest
help needed. due today TT
There is a linear relationship between the number of people in a group and the cost to enter a museum. The museum charges $20 for two people and $28 for three people.
Part C: Using your work from Part A, complete this prompt: How many people can enter the museum for $100?
Answer:
11 people could enter for $100
Step-by-step explanation:
According to the information given:
$28=3 people
$20=2 people
so it goes up by 8 dollars for every person added
20-8= 16, the original fee, meaning the sequence formula would be:
8n+8 (n being the number of people)
if 8n+8=100
8n=92
n=11.5 rounded down would be 11
Please answer these 2 word problems for BRAINLIEST AND IF CORRECT I WILL GIVE EXTRA POINTS
Answer:
150
Step-by-step explanation:
6) Raul received a score of 74 on a history test for which the class mean was 70 with a standard deviation of 3. He received a score of 70 on a biology test for which the class mean was 70 with standard deviation 7. On which test did he do better relative to the rest of the class?a)biology testb)history test c)the same
Solution:
The z score value is expressed as
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ where \\ x\text{ is the sample score} \\ \mu\text{ is the mean score} \\ \sigma\text{ is the standard deviation of the score} \end{gathered}\)Given that
\(\begin{gathered} History: \\ x=74 \\ \mu=70 \\ \sigma=3 \\ Biology: \\ x=70 \\ \mu=70 \\ \sigma=7 \end{gathered}\)To determine which test Raul did better,
step 1: Determine the z score value for the history test.
Thus,
\(\begin{gathered} z_{history}=\frac{74-70}{3}=1.333333333 \\ \end{gathered}\)step 2: Determine the z score value for the biology test.
\(z_{biology}=\frac{70-70}{7}=0\)step 3: Determine the probability that he did better in the history test.
Thus, from the normal distribution table,
\(Pr(history)=0.9088\)step 4: Determine the probability that he did better in the biology test.
From the normal distribution table,
\(Pr(biology)=0.5\)Since the probability that he did better in history is higher than the probability he did better in the biology test, this implies that he did better in the history test, relative to the rest of the class.
The correct option is B.
Julio bought 12 bulbs of jumbo garlic for $11.88. How many bulbs of jumbo garlic can Anjali buy if she has $3.96?
Answer:
Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
Step-by-step explanation:
To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:
\(\frac{11.88}{12}\)
Divide the fraction by \(\frac{12}{12}\) to calculate the unit rate:
\(\frac{.99cents}{1bulb}\)
So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by \(\frac{4}{4}\):
\(\frac{.99}{1}\) × \(\frac{4}{4}=\)
\(\frac{3.96}{4}\)
Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
_
Check your work by dividing \(\frac{3.96}{4}\) by \(\frac{4}{4}\) to see if you will get your initial unit rate:
\(\frac{3.96}{4}\) ÷ \(\frac{4}{4} =\)
\(\frac{0.99}{1}\)
Therefore, our solution is correct!
√2x = 3 solve for x?
Answer:
9/2
Step-by-step explanation:
Which quantity is proportional to 40/8?
Answer:
5/1
10/2
15/3
20/4
25/5
30/6
35/7
Step-by-step explanation:
Natalie waters the lawn 3 times a week. If she watered the lawn 24 times in all, which equation could be used to find how many weeks she has been watering the lawn?
Group of answer choices
A. x+3=24
B. 24-x=3
C. 3x=24
D. x/3=24
Answer:
C
Step-by-step explanation:
I'm pretty sure its c but i'm not sure whats going on with d
Answer:
D
Step-by-step explanation:
So what you will need to do is divide 3 in 24 to find how many weeks she has been watering her lawn, You get 8.
Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $30.
Patrick owes Melinda 1/3 the amount Carey owes. How much does Patrick owe
Melinda?
Find the surface area of the pyramid.
A drawing of a square pyramid. The length of the base is 4.5 meters. The height of each triangular face is 6 meters.
The surface area of the pyramid is 74.25 square meters.
What is surface area?Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.
What is pyramid?A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.
In the given question,
The area of the base is simply the area of a square, which is:
Area of base = length x width = 4.5m x 4.5m = 20.25 square meters
To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).
We can use the Pythagorean theorem to do this:
h²= (1/2 x base)² + height²
h² = (1/2 x 4.5)² + 6²
h² = 2.25 + 36
h² = 38.25
h = √38.25
h = 6.18 meters (rounded to two decimal places)
Now that we know the slant height, we can find the area of each triangular face:
Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters
Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:
Total area of triangular faces = 4 x 13.5 = 54 square meters
Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Surface area = Area of base + Total area of triangular faces
Surface area = 20.25 + 54
Surface area = 74.25 square meters
Therefore, the surface area of the pyramid is 74.25 square meters.
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PLEASE HELP ME ANSWER THIS QUESTION, THANKS!
Answer:
(a) therefore the equation is
a(t) = -1000t + 32800
Step-by-step explanation:
(a) a(t) = mt + b
(8, 24800). ( 20, 12800)
(t, a). ( t¹ , a¹)
slope or gradient, m = a¹ - t¹
a - t
m = 12800 - 24800
20 - 8
m = -12000
12
m = -1000
The slope is -1000
let's use (8, 24800) to find b.
24800 = -1000 (8) + b
24800 = -8000 + b
b= 24800 + 8000
b = 32800
therefore the equation is
a(t) = -1000t + 32800
(b) Since the slope is negative (-1000), it means that the altitude is decreasing at a constant rate of 1000 feet per minute. The negative sign indicates the descent, as the altitude is decreasing over time.
Therefore, the slope tells us that the plane is descending at a constant rate of 1000 feet per minute.
(c) The value 32800 tells us the initial altitude of the plane before descending. It indicates the starting point or the initial position of the aircraft above the ground level.
Therefore, the value 32800 represents the initial altitude of the plane before it began descending.
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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i need help sadly
what is 60% of 120?
Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?
The total interest on the loan will be $457,412,82892.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.
We can find the total interest on loan, using the formula -
I = {P(1 + APR/100)^t − P}
The principal amount of loan = $220,000
Compound APR = 3.82%
Time = 30 years
Using the formula, we get -
220,000[1 + 0.0382]^30−220,000
220000{[1 + 0.0382]^30 - 1}
$457,412,82892
Therefore, the total interest on the loan will be $457,412,82892.
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30-3x3/3+8(2) can someone give me an explanation for how they got the answer?
Answer:
43
Step-by-step explanation:
Order of Operations first
30 - 9 / 3 + 8 x 2
30 - 3 + 16
27+16
43
Allied Health - A certain medication is available only in 500 ug tablets. If the patient needs to take 3.0 mg per day, how many tablets must she take?
SOLUTION
To know the number of tablets the patient will take, it will be:
\(\frac{Amount\text{ she needs to take per day}}{Amount\text{ available per medication}}\)But we must note that the millages(drug dosages) are not in the same units, so we must first convert them to the same unit. (g)
Convert the amount she needs to take per day to grams:
\(\begin{gathered} 3.0mg\text{ to g} \\ =3.0\times10^{-3}g \\ =0.003g \end{gathered}\)Convert the amount of medication available to grams:
\(\begin{gathered} 500\mu\text{g to g} \\ =500\times10^{-6} \\ =0.0005g \end{gathered}\)The number of tablets she must take is:
\(\begin{gathered} \frac{0.003}{0.0005} \\ =6 \\ \text{She must take 6 tablets.} \end{gathered}\)What is the value of 5/6 divided by 3/4 in a fraction form
Answer:
5/6 ÷ 3/4 = 20/18 as simplified as 10/9 in fraction form. 5/6 ÷ 3/4 = 1.1111 in decimal form.
Step-by-step explanation:
The value of 5/6 divided by 3/4 is 10/9.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
5/6 divided by 3/4
as, fraction does not perform proper division
So, 5/6 ÷ 3/4
= 5/6 x 4/3
= 20 / 18
= 10 / 9
Hence, the resultant value is 10/9
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Kevin bought a used guitar at a garage sale for $150. He fixed it up and sold it for $200. What was the percent increase?
(Need explanation to show my work)
Answer:
33.3
Step-by-step explanation:
You need to divide 200 and 150 to get you 4/3. Then you will have to _____________________________
Compare the slopes of the lines for y=f(x) and y=g(x) to determine if they are parallel.
x
f(x)
g(x)
0
22
24
1
36
38
2
50
52
3
64
66
Question content area bottom
Part 1
Select the correct choice below and fill in the answer box(es) to complete your choice.
A line's steepness can be determined by looking at its slope. Slope is determined mathematically as increase over run.
How do you find slope of a line?According to the slope equation, the slope of a line may be calculated by dividing the rise of the line between any two places by the run of the same line between the same two sites.
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
Slope of y =f(x)
Slope (m) = ΔY / ΔX = 14 / 1 = 14
y = 14x + 22
When x=0, y = 22
When y=0, x = -1.5714285714286
Slope of y = g(x)
Slope (m) =ΔY / ΔX = 14 / 1 = 14
y = 14x + 24
When x=0, y = 24
When y=0, x = -1.7142857142857
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24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow
The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
It is given that:
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow
From the data given in the question.
Red : 6
Blue: 4
Green: 8
Yellow : 1 (half of 2)
Pink: 1 (half of 2)
Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
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PLEASE HELP!!!!
Find the greatest common factor. 5x^2a+5xa^2
The greatest common factor of the expression 5x²a + 5xa² is 5xa
How to find greatest common factor of 5x²a + 5xa²?To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.
In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².
We can check this by dividing both terms with 5xa:
5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)
Thus, the GCF of 5x²a + 5xa² is 5xa.
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This table represents some points on the graph of a linear function
Answer:
ummm... There is no table
Step-by-step explanation:
Answer:
Do you have a picture
Step-by-step explanation:
(-4) (-2) +2 (6+5) if anyone knows pls tell due dates tomm for homework
Thanks,
Unknownaz05
Answer:
21
Step-by-step explanation:
(-4)(-2)+2(6+5)
(8)+2(11)
10+11
21
Hope this helps! :)
Answer:32
Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32
A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
A bicycle store costs $2400 per month to operate. The store pays an average of $75 per bike. The average selling price of each bicycle is $155. How many bicycles must the store sell each month to break even?
Answer:
they need to sell 32 bikes
Step-by-step explanation:
75 x 32 = 2,400
Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model
shown for each question using the ratio given. Then, calculate your answer from the model and explain you
reasoning.
How many pairs of socks are brown in a package of 10 pairs of socks?
Answer:
6 brown socks are in a package of 10 pairs of socks
quanto é (a+b) elevado a 3 --(b-c) elevado a 3???
Vamos escrever.
(a.b)³. b.(b.c)² =
a³.b³.b. b².c² =
a³b^6.c² ( forma simplificada)
If the width of a rectangle is 3x+2 and the length is 2(x+4) what is the value of x
Answer:
Step-by-step explanation:
josh packed one layer of a rectangular prism with 15 unit cubes. The prism holds 4 layers of unit cubes. What is the volume of the rectangular prism?
Answer:60
Step-by-step explanation:
The required volume of the rectangular prism is 60 cubic units,
Given that,
josh packed one layer of a rectangular prism with 15 unit cubes. The prism holds 4 layers of unit cubes.
To determine the volume of the rectangular prism.
Volume is defined as the ratio of the mass of an object to its density.
Here,
Dimension of the rectangular prism,
Each layer consists of 15 unit cubes,
Length of the rectangular prism = 15 units,
and consist of 4 layers,
Width = 4 * 1 = 4 units
height = 1
The volume of the rectangular prism = length * width * height
= 15 * 4 * 1
= 60 cubic units
Thus, the required volume of the rectangular prism is 60 cubic units,
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Find the volume of the cone. Use 3.14 for π. Remember that there is a formula for calculating the volume of a cone.
The volume of the cone is 314cm³
What is volume of a cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.
The volume of the cone is 1/3πr²h
h²= 13²-5²
h = √169 - 25
h = √144
h = 12 cm
V = 1/3πr²h
V = 1/3 ×3.14 × 5² × 12
V = 942/3
V = 314 cm³
therefore the volume of the cone is 314cm³
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Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?
Answer:
at 5 hours he will have traveled 400 mi
Step-by-step explanation:
320÷4= 80
320=4, then 400=5
hope this helps