Answer:
I want brainliest!!! u promisteed
Step-by-step explanation:
1) 180-114 = 66
angle three = 66
360 = 70 + 70 + angle two + angle two
220 = angle two + angle two
angle two = 110
Work out a)4/5-1/5 b)9/11+5/11 c)3/4+1/8
The solutions are:
a) 3/5
b) 14/11
c) 7/8
What are the steps of adding and subtracting fractions?The steps for adding and subtracting fractions are as follows:
Step 1: Match the denominators.
Step 2: Add and subtract the numerators.
Step 3: Make the fraction simpler.
Fractions with different denominators can be added or subtracted by using Least Common Multiple(LCM) to convert them to like fractions.
a) 4/5 - 1/5
The denominators of the fractions are the same so we have to just subtract the numerators.
= (4 - 1)/5
= 3/5
b) 9/11 + 5/11
Similarly, the denominators of these fractions are also equal so we have to just add the numerators.
= (9 + 5)/11
= 14/11
c) 3/4 + 1/8
First, we find the Least Common Multiple (LCM) of the denominators to convert them into like denominators and then add the respective numerators.
LCM of 4 and 8 = 8
= \(\frac{6+1}{8}\) = 7/8
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Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
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A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answer:
Step-by-step explanation:
1 bowl holds 5 fish
x bowls hold 263 fish
1/x = 5/263 Cross multiply
5x = 263 Divide by 5
5x/5 = 263/5
x = 52.6
So you actually need 53 fishbowls. One of them holds only 3 fish
The article "Determination of Most Representative Subdivision" gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines. Data on the variable x = total length of streets within a subdivision are as follows.
1280 5320 4390 2100 1240 3060 4770 1050 360 3330 3380 340 1000 960 1320 530 3350 540 3870 1250 2400 960 1120 2120 450 2250 2320 2400 3150 5700 5220 500 1850 2460 5850 2700 2730 1670 100 5770 3150 1890 510 240 396 1419 2109
(a) Fill in a stem-and-leaf display for these data using the thousands digit as the stem. Do not truncate numbers. For example, number 2380 has stem-"2" and leaf-"380". (Enter solutions from smallest to largest. Separate the numbers with spaces.)
0 100 240 340 360 396 396 450 500 510 530 540 960 960
(b) Fill in the table below. (Round your answer to four decimal places if needed.)
Class Interval Frequency Relative Frequency
0 - <1000
2000 - < 3000
4000 - < 5000
5000 - < 6000
(c)
What proportion of subdivisions has total length less than 2000?
What proportion of subdivisions has total length between 2000 and 4000? (Round your answer to four decimal places if needed.)
a) The data is not symmetric
b) The complete table:
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298c) Proportion of subdivisions has total length less than 2000 is 0.49
Proportion of the subdivisions has total length between 2000 and 4000 is 0.36
a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.
Stem Leaf
0 360, 340, 960, 530, 540, 960, 450, 500, 100, 510, 240, 3961 280, 240, 050, 000, 320, 250, 850, 670, 890, 4192 100, 400, 120, 250, 320, 400, 460, 700, 730, 1093 060, 330, 380, 350, 870, 150, 1504 390, 7705 320, 700, 220, 850, 770The data is not symmetric
b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula
Relative Frequencies are given by
Relative frequency = Frequency / Total frequency
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298= 47
Histogram attached at end of solution
The histogram is approximately positively skewed.
c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000
= 0.26 + 0.23
Proportion of subdivisions has total length less than 2000 = 0.49
Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000
= 0.21 + 0.15
Proportion of the subdivisions has total length between 2000 and 4000 = 0.36
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Drawing Inferences from Givens, Common Core Geometry Homework. Only #4
You could draw a line
that is form with two angles with these two angles we form an angle of 180°
the supplementary angles the sum is always 180°
the 180° angle is represented in blue
in red we have the line
The line S nd T intersect at point. what is the value of y
Point R has vertical opposing angles at its opposite sides. In the diagram, y has the value 29.
when two things come together?Two items collide or lay across each other when they intersect. Your life will ideally cross paths only with paths of other intriguing individuals, just as your street may cross paths with a major thoroughfare.
Angles vertically are equal.
We therefore have:
4y - 8 = 79 + y
Gather related terms in the equation above.
4y - y = 79 + 8
Analyze similar words
3y = 87
Subtract 3 from both sides.
y = 29
As a result, the figure's y value is 29.
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The complete question is-
The lines s and t intersect at point R.
What is the value of y?
The line S and T intersect at point. The value of y is 29
Describe Vertical Angles?Vertical angles are a pair of angles that are formed by the intersection of two straight lines. They are opposite angles, meaning they are located across from each other and have the same measure. Vertical angles are congruent, which means they have the same angle measure.
For example, if two lines intersect at a point, they form four angles, with two pairs of vertical angles. If one of the angles has a measure of 30 degrees, then the opposite angle (the vertical angle) will also have a measure of 30 degrees.
Since vertical angles are congruent, we have:
4y - 8 = 79 + y
Simplifying the equation, we get:
3y = 87
Therefore, the value of y is:
y = 29
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The complete question is :
The line S and T intersect at point. what is the value of y
After spending $19 dollars, Issac had twice as much money as Lara.
If Lara had $27, how much money did Issac have at first?
Answer:
73
Step-by-step explanation:
yes it is 73dddfmsmxk
If Mags (m) is 34 years old, how old is Vector (V) m=v+2 A. V=64 B. V=68 C. V=36 D. V=32
Answer:
32
Step-by-step explanation:
Mags is 34. If Vector's age+2 is equal to Mags' age, and she is 34, just subtract 2 from 34, which equals 32.
Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the surface of the sea. On a number line, what is the distance between the two elevations?
a:7
b;8
c:13
d:14
Answer:
13
Step-by-step explanation:
Point-slope equation
y-6=3(x - 5)
y- 4 = -9(x+8)
y- 2 = 5x
Slope
-10
2
712
2
Point on
line
(1,4)
(5,-3)
(-7,-7)
The point slope equation and slope of some lines are given below
1) For y - 6 = 3(x - 5), slope = 3
2) For y - 4 = -9(x + 8), slope = -9
3) y - 2 = 5x, slope = 5
4) Point slope equation of line whose slope = -10 and passing through (1, 4)
y - 4 = -10(x - 1)
5) Point slope equation of line whose slope = 2 and passing through (5, -3)
y + 3 = 2(x - 5)
6) Point slope equation of line whose slope = \(\frac{1}{2}\) and passing through (-7, -7)
\(y +7 = \frac{1}{2}(x +7)\\\)
What is equation of line in point slope form?
The most general form of equation of line in point slope form is given by \(y - y_1 = m(x - x_1)\) , \((x_1, y_1)\) is a point on the line
Where m is the slope of the line
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan\theta\)
1) y - 6 = 3(x - 5)
y - 6 = 3x - 15
y = 3x - 15 + 6
y = 3x - 9
Slope = 3
If x = 0,
\(y = 3 \times 0 -9\\y = -9\)
(0, -9) is a point on the line
2) y - 4 = -9(x + 8)
y - 4 = -9x - 72
y = -9x - 72 + 4
y = -9x - 68
Slope = -9
If x = 0
\(y = -9 \times 0 -68\\y = -68\)
(0, -68) is a point on the line
3) y - 2 = 5x
y = 5x + 2
Slope = 5
Putting x = 0
\(y = 5 \times 0 + 2\\y = 2\)
(0, 2) is a point on the line
4) Slope = - 10
The line passes through (1, 4)
Point slope equation
y - 4 = -10(x - 1)
5) Slope = 2
The line passes through (5, -3)
Point slope equation
y - (-3) = 2(x - 5)
y + 3 = 2(x - 5)
6) Slope = \(\frac{1}{2}\)
The line passes through (5, -3)
Point slope equation
\(y - (-7) = \frac{1}{2}(x - (-7))\\y +7 = \frac{1}{2}(x +7)\\\)
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3.) Miss Weibel goes to the salad bar for lunch. She can choose from cheese, olives, tomatoes, or cucumbers. She can also pick Italian, ranch, or French dressing. What is the probability that Miss Weibel will make a salad with ranch dressing?
Step-by-step explanation:
1/3 or 33% because there are 3 dressing choices and she picked only 1
At an amusement park, guests have to take either a train or a boat 22 miles from the parking lot to the front entrance and then back when they leave the park. The train goes 10 mph faster than the boat . Abdul takes the train into the park and the boat on his way back. The boat goes an average speed of 20 mph. How long did the round trip take?
Answer:
1 hour 50 minutes
Step-by-step explanation:
Total distance from parking lot to entrance = 22 miles
We will assume that the total distance from entrance to lot is also 22 miles
The average speed of the boat = 20mph
The average speed of the train is 10 mph faster = 20 + 10 = 30 mph
Time taken for travel from parking lot to park by train = 22/30 hours
22/30 hours = 22/30 x 60 minutes = 44 minutes
On the way back, the boat was taken
Distance = 22 miles, speed = 20 mph
Time taken = distance/speed = 22/20 hours
22/20 hours = 22/20 x 60 minutes = 66 minutes
Total round trip time taken = 44 + 66 = 110 minutes
110 minutes = 110/60 hours
= 1 50/60 = 1 hour 50 minutes
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
114
63
177
Do not play a
sport
61
67
128
Total
B. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.36.
175
150
Are being a girl and playing a sport independent events? Why or why not?
D. No, they are not independent, because P(girl) = 0.46 and
P(girl | plays a sport) = 0.54.
325
A. Yes, they are independent, because P(girl)≈ 0.46 and P(girl | plays
a sport)≈ 0.36.
OC. Yes, they are independent, because P(girl) ≈ 0.46 and P(girl | plays
a sport) = 0.54.
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.
What is independent event ?
In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.
Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:
P(A and B) = P(A) x P(B)
If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.
According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.
Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.
We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.
If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.
This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.
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The difference of y and 3 amounts to 12
Answer:
y-3=12
Step-by-step explanation:
Difference is subtracting of means between so the difference of y and 3 is y-3 and amounts is = so amounts to 12 is =12 so the difference of y and 3 amounts to 12 is y-3=12
Which value is a solution to this equation?
0=x^2-3x-4
Answer:
(x+1)(x-4)
x=-1, x=4
Step-by-step explanation:
the factors of -4x^2
x and -4x
the sum of x-4x= -3x
A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7 degrees. How high is the lamppost? Round to the nearest foot
Answer:
12 feet or 12 ft
Step-by-step explanation:
We solve for this question using Trigonometric function of Tangent
tan θ = Opposite/ Adjacent
θ = Angle of elevation = 33.7°
Opposite side = Height of the lamp = ??
Adjacent side = Shadow of the lamp = 18 feet
Hence,
tan 33.7° = Opposite/ 18
tan 33.7° × 18 = Opposite
Opposite = 12.004507735 feet
Approximately to the nearest foot = 12.0feet
The height of the lamppost with a shadow of 18 ft. is 12 feet.
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the lamppost, hence:
tan(33.7) = h/18
h = 12 feet
The height of the lamppost with a shadow of 18 ft. is 12 feet.
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Im strugling on these question
Answer and Step-by-step explanation:
How're you struggling with this? Simply look for a point that is inside of the triangle.
The answer is A. (-1, -2)
because this point is INSIDE the triangle.
#teamtrees #PAW (Plant And Water)
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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A parallelogram has sides measuring 10 and 18, and an angle measuring 100 degrees. What is its area?
Answer:
180
Step-by-step explanation:
The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:
A=10×18
A=180
The area of the parallelogram is 180 square units
Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out
Distance travelled with 20 l of petrol in solution and final answer.
Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.
The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.
Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.
As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.
Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.
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what is 4bc in number form
Answer:
4x1x1
Step-by-step explanation:
4xbxc all variables such as b,c,x equal 1.
Select the tables that show a proportional relationship between x and y.
Answer:
The table in blue
Step-by-step explanation:
I need help in answering this question
Answer:
2 6 12 20,000
6 18 36 60,000
Step-by-step explanation:
The bottom number is 3 times the top number.
Find the common ratior for the geometric sequence and user to find the next three terms.
243, 162, 108, 72, ...
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
mom this u?
You intend to conduct an ANOVA with 7 groups in which each group will have the same number of subjects: n=6n=6. (This is referred to as a "balanced" single-factor ANOVA.)
1. What are the degrees of freedom for the numerator?
d.f.(treatment) =
2. What are the degrees of freedom for the denominator?
d.f.(error) =
Answer:
d.f.(treatment) = 6
d.f.(error) = 35
Step-by-step explanation:
In the question we have
k = 7
r= 6
n= rk= 42
1. The degrees of freedom for the numerator is calculated as under
d.f.(treatment) = k-1= 7-1= 6
Where k gives the number of columns
2. The degrees of freedom for the denominator is calculated as under
d.f.(error) = k (r-1)= n-k= 42-7=35
where k gives the number of columns and r gives the number of rows.
This is for one way ANOVA as asked above.
PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
Angle M and angle N are complementary angles. The measure of angle M is (5x-
1), and the measure of angle N is 16.
What is the measure of angle M
Answer:
Your answer is 164°
Complementary,,, so (180-N)
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sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
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help me to answer this
Answer: The answer would be 20
Step-by-step explanation: