Answer:
Step-by-step explanation:
Answer:
Stem Leaf
6 4 9
7
8 8 8
9 1 2 3 4 5 7 7
10 0
Step-by-step explanation:
The stem-and-leaf plot is a semi-graph that allows presenting the distribution of a quantitative variable. It consists of separating each data in the last digit (which is called a leaf) and the remaining front numbers (which form the stem).
It is especially useful for medium-sized data sets and that your data is not grouped around a single stem. With it we can get the idea of what distribution the data have, the asymmetry, etc.
The name of stem and leaves refers to the branch of a plant, with the front digits marking the stem where the number is located and the final digit of the leaf.
1. First at all, we have to sort the data from lowest to highest
64, 69, 88, 88, 91, 92, 93, 94, 95, 97, 97, and 100
2. Draw a table with two columns, the first column for the stem and the second for the leaves. Arrange all the stems in the first column in descending order. Each stem is written only once.
Stem Leaf
3. Record all the leaves in the second column, in increasing order, next to the corresponding stem.
Stem Leaf
6 4 9
7
8 8 8
9 1 2 3 4 5 7 7
10 0
What is the sum of 4.9 × 102 and 6.8 × 103?
Answer:
The sum is
[tex]7.92\times 10^3[/tex]
Step-by-step explanation:
We want to add
[tex]4.9\times 10^2 and 6.8\times 10^3[/tex]
The sum of these two numbers is:
[tex]4.9\times 10^2 +6.8\times 10^3[/tex]
This is the same as:
[tex]4.9\times 100 +6.8\times 1000[/tex]
[tex]490 +6800=7290[/tex]
We rewrite 7290 in standard form to get;
[tex]7.92\times 10^3[/tex]
A soccer field is 50 yards wide and 60 yards long. If a person walks across the field along the diagonal instead of walking the length and width of the field, how much shorter is the distance? Round to the nearest thousandth.
Answer:
66 yards
Step-by-step explanation:
it eaquls that because it is PerfEctIng liveS
Find the measure of angle x
x = 90 - 28
x = 62°
The answer is choice B.
Answer:
The answer is B; 62 degrees
Step-by-step explanation:
A straight line has an angle measure of 180 degrees
So our equation to solve for x is: 180 - 90 - 28 = x
Therefore, x = 62
Combine the like terms to create an equivalent expression: −5r+8r+5
Answer:
3r+5
Step-by-step explanation:
Since -5r and 8r both have r in them, we can combine them and the expression looks like:
3r+5
Which is our answer.
Answer:
3r+5
Step-by-step explanation:
Math
I need help please???!!
Answer:
True
Step-by-step explanation:
Any point on the x- axis has a y- coordinate of zero, hence
(2, 0) lies on the x- axis
I need the Answer.... PLZ PLZ PLZ
Answer:
The answer is B.
Step-by-step explanation:
Please mark brainliest!
find Sn for the given arithmetic series a1=-26 d=-9 n=24
Answer:
- 3108
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2[tex]a_{1}[/tex] + (n - 1)d ]
Substitute the given values into the formula
[tex]S_{24}[/tex] = [tex]\frac{24}{2}[/tex] [ (2 × - 26) + (23 × - 9) ]
= 12 ( - 52 - 207 )
= 12 × - 259 = - 3108
Compute the following 7!/3!
If we reduce the expression by cancelling common factors, your answer would be 840.
An angle with 43 is called
Answer:
Acute
Step-by-step explanation:
Anything with a measure less than 90 degrees is acute
An acute angle. It's less then 90 degrees.
^^^Is that the answer you're looking for?
Which expression can be used to represent 8 more than the product of 15 and 12?
Answer:
25
Step-by-step explanation:
15x12=180
8x25=200
The expression is [tex]\(15 \times 12 + 8 = 188\)[/tex].
To represent "8 more than the product of 15 and 12", you would first calculate the the product of 15 and 12, and then add 8 to to the result.
1. Calculate the product of of 15 and 12:
[tex]\(15 \times 12 = 180\)[/tex]
2. Add 8 to to the result:
[tex]\(180 + 8 = 188\)[/tex]
So, the expression representing "8 more than the product of of 15 and 12" is [tex]\(15 \times 12 + 8\)[/tex], which simplifies to to [tex]\(188\)[/tex].
Angle 0 lies in the second quadrant, and sin 0=3/5
Cos 0=
Answer:
-4/5
Step-by-step explanation:
Please use a symbol such as x or Ф to represent an angle; your 0 is too easily confused with zero.
If Angle Ф lies in the second quadrant, and sin Ф=3/5, find cos Ф.
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse: sin Ф = opp / hyp = 3 / 5. Thus the opp side has length 3 and the hyp has length 5. By the Pythagorean Theorem,
the adj side has length √(5² - 3²), or √(25-9), or √16, or ±4. Because the angle is in the 2nd quadrant, choose adj = -4.
Then the cosine of this angle is cos Ф = adj / hyp = -4 / 5
Final answer:
To find cos 0, use the Pythagorean identity and evaluate.
Explanation:
To find cos 0, use the Pythagorean identity and evaluate. The given information states that angle 0 lies in the second quadrant and sin 0 = 3/5. We need to find cos 0. Since angle 0 is in the second quadrant, cosine is negative in that quadrant. We can use the Pythagorean identity to find cos 0 = √(1 - sin² 0), which becomes cos 0 = √(1 - (3/5)²). Evaluating this gives us cos 0 = √(1 - 9/25) = √(16/25) = 4/5.
2x + 3y = 105
x + 2y = 65
Solve for x in x + 2y = 65
x = 65 - 2y
Substitute x = 65 - 2y into 2x + 3y = 105
130 - y = 105
Solve for y in 130 - y = 105
y = 25
Substitute y = 25 into x = 65 - 2y
x = 15
Therefore;
x = 15
y = 25
AB and BC form a right angle at point B. if A= (-3, -1) and B = (4, 4), what is the equation of BC
Answer:
With fractions: [tex]y=-\frac{7}{5} x+\frac{48}{5}[/tex]
With decimals: [tex]y=-1.4x+9.6[/tex]
Step-by-step explanation:
First we are finding the slope of line AB using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where
[tex]m[/tex] is the slope
[tex](x_1,y_1)[/tex] are the coordinates of the first point
[tex](x_2,y_2)[/tex] are the coordinates of the second point
The first point is A= (-3, -1) and the second one is B = (4, 4), so [tex]x_1=-3[/tex], [tex]y_1=-1[/tex], [tex]x_2=4[/tex] and [tex]y_2=4[/tex].
Replacing values
[tex]m=\frac{4-(-1)}{4-(-3)}[/tex]
[tex]m=\frac{4+1}{4+3}[/tex]
[tex]m=\frac{5}{7}[/tex]
Now, since AB and BC form a right angle, BC is perpendicular to AB. The slope of a perpendicular line is the negative reciprocal of the other line; in other words, the slope of BC is the negative reciprocal of the slope of AB. To find the negative reciprocal of the slope of AB we just need to multiply its slope by -1 and invert the fraction:
[tex]m_{AB}=\frac{5}{7}[/tex]
[tex]m_{BC}=-\frac{7}{5}[/tex]
Finally, to complete the equation of BC, we are using the point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m[/tex] is the slope
[tex](x_1,y_1)[/tex] are the coordinates of the point
We know that [tex]m_{BC}=-\frac{7}{5}[/tex], so [tex]m=-\frac{7}{5}[/tex]. Since the line passes throughout point B = (4, 4), [tex]x_1=4[/tex] and [tex]y_1=4[/tex].
Replacing values
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-4=-\frac{7}{5} (x-4)[/tex]
[tex]y-4=-\frac{7}{5} x+\frac{28}{5}[/tex]
[tex]y=-\frac{7}{5} x+\frac{28}{5}+4[/tex]
[tex]y=-\frac{7}{5} x+\frac{48}{5}[/tex]
[tex]y=-1.4x+9.6[/tex]
Answer:
-7x − 5y = -48
Step-by-step explanation:
This was correct on plato :D
How do I solve absolute value equalities?
4| n+8 | = 56
Answer:
Step-by-step explanation:
I believe you do, 4 times each number in the absolute value symbol. 4 times n, 4 times positive 8. 4n+32=56
You minus 32 on both sides and you get 24. Then you take 24 and divide it by 4, and there is your answer 6.
You can check it by plugging 6 into the equation.
which describes money that is received from a sale of goods or services?
Answer:
revenue
Step-by-step explanation:
It is another name for funds or money received from a sale of goods or services.
Answer:
it is revenue
Step-by-step explanation:
Determine if direct variation x-2y=0
Answer:
x-2y=0 is a direct variation
Step-by-step explanation:
Direct variation is of the form
y= kx
Can we get the equation in that form
x-2y =0
Add 2y to each side
x-2y+2y =0_2y
x=2y
Divide each side by 2
x/2 = 2y/2
1/2x =y
Flip the sides
y = 1/2x
This is of the form y= kx where k = 1/2
x-2y=0 is a direct variation
Select the correct answer.
What is the vertex of the parabola given by y = -(x − 2)2 − 1?
A.
(2, 1)
B.
(2, -1)
C.
(-2, 1)
D.
(-1, 2)
Answer:
Vertex: 2,-1
Step-by-step explanation:
you just gotta graph it
Final answer:
The vertex of the parabola given by the equation y = -(x - 2)² - 1 is (2, -1).
Explanation:
To find the vertex of the parabola given by the equation y = -(x − 2)² − 1, you should recognize that the equation is already in the vertex form, which is y = a(x − h)² + k, where (h, k) is the vertex of the parabola. In this case, h equals 2, and k equals -1, therefore the vertex of the parabola is (2, -1).
6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]
Answer:
24
Step-by-step explanation:
Just plug it into the calculator.
(solve) 12 1/2-(-4 1/2) =
Answer:
17
Step-by-step explanation:
12 1/2 -(-4 1/2) = 12 1/2 + 4 1/2
=25/2 + 9/2
= 34 /2
= 17
The value of the given expression is 17
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 12 1/2-(-4 1/2), we need to simplify it,
12 1/2 -(-4 1/2)
= 12 1/2 + 4 1/2
=25/2 + 9/2
= 34 /2
= 17
Hence, the value of the given expression is 17
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A gallon of paint will cover approximately 350 square feet. The family room measures 15x18 feet and has a 8 foot ceilings.How many gallons of paint must be purchased in order to pint the walls
Answer:
2 gallons
Step-by-step explanation:
So first, we need to figure out the total area of the walls,
so 15 x 8 = 120 x 2 = 240
18 x 8 = 144 x 2 = 288
240 + 288 = 384
2 gallons are needed
What is the value of x
Answer:
30 degrees
Step-by-step explanation:
A right angle is 90 degrees. Subtract 30 and you get 60. Then divide it by two because the leftover is 2x.
Answer:
x=30
Step-by-step explanation:
90-30=60
60/2=30
I got the 90* from the right angle
The cylinder has a volume of 536.94 cubic inches. What is the radius of the cylinder? (Use 3.14)
The formula for the volume of a cylinder is V = π r^2 h
We know what the volume (V) and PI is so:
536.94 = 3.14 r^2 h
But since we don't know the height, it is not possible to find the radius as we cannot find the value of a variable if there are still more than 1 variable in an equation in which we don't know the value of
I would suggest to delete this question and add the height or tell us the height of the cylinder in the comments
A bag contains 5 red marbles, 6 white marbles, and 5 blue marbles. Find P(red and blue).
Please show work so I can undersand.
The probability of getting blue and red marble is [tex]0.0976[/tex].
What is Probability?
The probability of any event is the ratio of number of favourable outcome and Total number of outcome.
It is given that a bag contains [tex]5[/tex] red marbles, [tex]6[/tex] white marbles and [tex]5[/tex] blue marbles.
We have to find the Probability [tex]\[\text{P}\left( \text{red and blue} \right)\][/tex].
So,
[tex]\[\text{The total number of marbles in the bag}=5+6+5\][/tex]
[tex]= 16[/tex]
Probability of getting red marble [tex]\[\text{P}\left( \text{red} \right)\text{=}\frac{\text{no}\text{.of red marbles}}{\text{total number of marbles}}[/tex]
[tex]\[=\frac{5}{16}\][/tex]
Probability of getting white marble [tex]\[\text{P}\left( \text{white} \right)\text{=}\frac{\text{no}\text{.of white marbles}}{\text{total number of marbles}}[/tex]
[tex]\[=\frac{6}{16}\][/tex]
Probability of getting blue marble [tex]\[\text{P}\left( \text{blue} \right)\text{=}\frac{\text{no}\text{.of blue marbles}}{\text{total number of marbles}}[/tex]
[tex]\[=\frac{5}{16}\][/tex]
Now, we find the probability for [tex]\[\text{P}\left( \text{red and blue} \right)\][/tex],
[tex]\[\text{P}\left( \text{red and blue} \right)\] = $\text{P}\left( \text{red} \right)\text{ }\!\!\times\!\!\text{ P}\left( \text{white} \right)$[/tex]
[tex]$=\frac{5}{16}\cdot \frac{5}{16}$[/tex]
[tex]$=0.0976$[/tex]
Hence, the Probability of [tex]\[\text{P}\left( \text{red and blue} \right)\][/tex] is [tex]0.0976[/tex].
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Final answer:
The probability of drawing a red marble and then a blue marble from a bag containing a mix of marbles is 5/48, calculated by multiplying the probabilities of each individual event occurring in sequence.
Explanation:
The question asks for the probability of drawing a red and then a blue marble from a bag containing 5 red, 6 white, and 5 blue marbles. We begin by calculating the probability of drawing a red marble, which is 5/16 (since there are 5 red marbles out of a total of 16). After drawing a red marble, we do not replace it, so there are now 15 marbles left. The probability of drawing a blue marble next is 5/15 or 1/3, since there are 5 blue marbles left.
To find the combined probability of two independent events, we multiply their individual probabilities. Therefore, the probability of drawing a red then a blue marble without replacement is 5/16 * 1/3, which simplifies to 5/48. So, P(red and blue) is 5/48.
this is my last question gn guys
pls answer so i can sleep
Answer:
48 cm²
Step-by-step explanation:
Area
= (6 x 2) + (10 - 6) x 9
= 12 + 36
= 48 cm²
Please explain your answer as well. THX!!
Answer:
The correct option is the fourth one.
Step-by-step explanation:
FIRST QUESTION:
To solve this problems we need to know the following things:
1. Given f(x) = k*g(x). We know that the graph of f(x) will be identical to the graph of g(x) but enlarged or compressed depending on the value of k.
2. Given f(x) = g(x) + k. We know that the graph of f(x) will be identical to the graph of g(x) but shift downwards if k<0 or shift upwards if k>0.
Having said this, we have that:
f(x) = 1/2 * log_2 (x) - 8
In this case, there are two transformations: The function is supressed by 1/2 and also shifted downwards by 8 units.
SECOND QUESTION
We need to find the portion of domain where f(x) = x^2 + a is one-to-one.
A function f is one-to-one if each x in the domain has exactly one image in the range. And, no y in the range is the image of more than one x in the domain.
So if we want a one-to-one function we need to restrict the domain starting from x=0. So it would be: [0, inf)
Now to find the inverse function, we need to solve the equation for "x"
y = x^2 + a
y - a = x^2
x = sqrt(y-a)
Then, the inverse function would be:
y = sqrt(x-a)
The correct option is the fourth one.
Is the ratio 25 to 16 proportional to 5 to 4.
No because 5:4 time 4 you get 20:16 not 25:16 and if you manage 25 it will be 25:20 so not promotional
Answer:
no
Step-by-step explanation:
because if you divide 25 by 16 you get 1.5625 and if you divide 5 by 4 you 1.25, so they are not proportional. and another way to see if its proportional or not, is to divide the numerators by the same number as you did with the denominators. for example, 25/5 = 5 but 16/5 does not equal 4, so they aren't proportional.
solve........3 (5p - 3) = 5 (p - 1)
Step 1: multiply the numbers in front of the parentheses with each term inside the parentheses
15p - 9 = 5p - 5
Step 2: get like terms on the same side
10p = 4
Step 3: divide both sides by 10
p = 4/10
Step 4: simplify
p = 2/5
The solution for p in the given expression is p = 2/5.
Given is an expression 3 (5p - 3) = 5 (p - 1), we need to solve for p,
To solve the given expression for p, let's break down the steps:
Distribute the multiplication on both sides of the equation:
15p - 9 = 5p - 5
Rearrange the equation by moving all terms involving p to one side and the constants to the other side:
15p - 5p = -5 + 9
Combine like terms on both sides:
10p = 4
Divide both sides by 10 to isolate p:
p = 4/10
Simplifying the fraction:
p = 2/5
Therefore, the solution for p in the given expression is p = 2/5.
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When the sum of 1/2 and 1/3 is divided by the product of 1/2 and 1/3 what is a quotient
Answer:
56
Step-by-step explanation:
To calculate the quotient of the sum of 1/2 and 1/3 divided by the product of 1/2 and 1/3, we need to perform two separate calculations first: one for the sum and one for the product.
1. Calculate the Sum:
First, we find the sum of the fractions 1/2 and 1/3. To add two fractions, we need a common denominator. The least common multiple of 2 and 3 is 6, so we convert both fractions to have a denominator of 6:
\[
\frac{1}{2} = \frac{3}{6}, \quad \text{ and }\quad \frac{1}{3} = \frac{2}{6}.
\]
Then, we add the two fractions:
\[
\frac{3}{6} + \frac{2}{6} = \frac{3+2}{6} = \frac{5}{6}.
\
The sum of 1/2 and 1/3, therefore, is 5/6.
2. Calculate the Product:
Next, we find the product of the two fractions by multiplying them directly:
\[
\frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6}.
\]
The product of 1/2 and 1/3 is 1/6.
3. Divide the Sum by the Product:
Finally, we divide the sum by the product:
\[
\frac{5/6}{1/6} = \frac{5}{6} \times \frac{6}{1} = \frac{5 \times 6}{6 \times 1} = \frac{30}{6} = 5.
\
The quotient of the sum of 1/2 and 1/3 divided by the product of 1/2 and 1/3 is 5.
Thus, the final answer to the question is 5.
Find the number of solutions of -x^2 + 5x - 4 = 0.
Answer:
There are 2 solutions for the equation -x^2 + 5x - 4 = 0 i.e x=1 and x=4
Step-by-step explanation:
We can find the number of solutions of the given equation -x^2 + 5x - 4 = 0 by solving the equation using factors method to solve the quadratic equation.
[tex]-x^2 + 5x - 4 = 0\\Taking\,\, - sign\,\, common\\x^2 - 5x + 4 = 0\\making\,\, factors\,\, of\,\, 4x^2\\x^2 -4x -x +4 = 0\\x(x -4) -1 (x - 4) = 0\\(x-1)(x-4)=0\\x-1 = 0 \,\, and \,\, x-4 =0\\x = 1 \,\,and\,\, x = 4\\[/tex]
The values of x are:
x=1 and x=4
So, there are 2 solutions for the given equation -x^2 + 5x - 4 = 0
the cost function for Dans new clothing store where he sells T-shirt is C=$12.25n+1150.What will Dan's total cost for this month be if he sells 25 T-shirts this month
Answer:
$1456.25
Step-by-step explanation:
$12.25 multiplied by 25 = $306.25
now you have $306.25 + $1150 = $1456.25
which is your answer $1456.25