Answer:
x ≈ 15.59
Step-by-step explanation:
We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):
a^2 + b^2 = c^2
9^2 + x^2 = 18^2
81 + x^2 = 324
Subtract 81 from both sides to get x^2 alone on one side.
x^2 = 243
Square root both sides to isolate x.
x = 9sqrt3)
x ≈ 15.59
P(n) models the probability, when rolling a pair of dice, of obtaining two numbers whose sum is n 2 6 7 P(n) 1/36 5/36 6/36 when does the probability increase faster? a)Between a sum of 2 and a sum of 6 b) Between a sum of 6 and a sum of 7 c)the probability increases at the same rate over both intervals
Answer:
Option c.
Step-by-step explanation:
From the given table, it is clear that
[tex]P(2)=\dfrac{1}{36}[/tex]
[tex]P(6)=\dfrac{5}{36}[/tex]
[tex]P(7)=\dfrac{6}{36}[/tex]
The increasing rate of probability between a sum of 2 and a sum of 6 is
[tex]r_1=\dfrac{P(6)-P(2)}{6-2}[/tex]
[tex]r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}[/tex]
The increasing rate of probability between a sum of 6 and a sum of 7 is
[tex]r_2=\dfrac{P(7)-P(6)}{7-1}[/tex]
[tex]r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}[/tex]
Since [tex]r_1=r_2[/tex], therefore the probability increases at the same rate over both intervals.
Hence, the correct option is c.
Answer:
c)the probability increases at the same rate over both intervals
Step-by-step explanation:
it was right on khan academy
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
Evaluate 2y - 10 + 8y when y is 4
Answer:
30Step-by-step explanation:
Given,
y = 4
Now, let's evaluate:
[tex]2y - 10 + 8y[/tex]
Plug the values
[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]
Multiply the numbers
[tex] = 8 - 10 + 32[/tex]
Calculate the sum of positive numbers
[tex] = 40 - 10[/tex]
Subtract the numbers
[tex] = 30[/tex]
Hope this helps...
Best regards!!
Answer:
30
Step-by-step explanation:
To solve your question we must first replace y with the given number. In this case, the number given is 4 so,
2 (4) - 10 + 8 (4)
We can now solve by multiplying 2 by 4 and 8 by 4
2 * 4 = 8
8 * 4 = 32
8 - 10 + 32 = 30
Hope this helps!!
2/3% as a fraction pls i need to know thx
Answer:
Hey there!
2/3% is basically 2/3's of 1 percent.
Thus, as a fraction we get 2/300.
Hope this helps :)
Answer:
1/150
Step-by-step explanation:
2/3%
We know that 1% = 1/100
2/3% = (2/3)/100
2/3% = 2/(3 × 100)
2/3% = 2/300
2/3% = 1/150
Pleaseeeee hurryy need help!!
it is the last one
Step-by-step explanation:
by simplifying powers it becomes
8g^8/64h ^5
simplifying it further gives
g^8/ 8h^5
The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
convert it into the equation 5=k/4
so 5x4 is 20
k=20
then x=20/y
and y is 7
so the answer is 20/7
5x-2y = -25 Solve by linear combination please show work
Answer:
The answer you get is x=-3, and y=5 or (-3,5)
Step-by-step explanation:
3x+y=-4 and 5x-2y = -25.
Firstly, to solve the equation let's use the multiplication method.
5x-2y=-25 (Multiply by 1)
3x+y=-4 (Multiply by 2)
=
5x-2y=-25
+6x+2y=-8
=
11x=-33
x=-3
We know that x=-3, now we can find y by substituting this value into other equations.
5(-3)-2y=-25
-15-2y=-25
+15 +15
-2y=-10
y=5
The answer you get is x=-3, and y=5 or (-3,5)
60 is what percent of 90?
Answer:
[tex]\boxed{66.67\%}[/tex]
Step-by-step explanation:
[tex]\frac{60}{90}[/tex]
[tex]=\frac{2}{3}[/tex]
[tex]\approx 66.67\%[/tex]
60 is 66.67 percent of 90.
66,(6) %
Step-by-step explanation:90 ............... 100%
60 ....................X%
X = 60×100/90 = 600/9 = 66,(6) %
Please answer this!!! Thank you!!!
I hope this helped! Good luck with the rest of your class :)
Does coordinate c or coordinate d represent a greater number?
Answer:
Coordinate d
Step-by-step explanation:
Answer: d is larger
c = -2 and d = -1
====================================================
Explanation:
We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).
The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.
Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.
*PLEASE ANSWER ASAP TY* Which of the following statements best describes a segment of a circle? a.) A segment is a portion of a sector that is bound by a chord and the major arc formed by that chord. b.) A segment is a portion of a sector that is bound by a radius and the minor arc formed by that radius. c.) A segment is a portion of a sector that is bound by a radius and the major arc formed by that radius. d.) A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.
Answer: D
Step-by-step explanation:circle by a secant or a chord
A segment of a circle can best be described as: D. A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.
What is a Segment of a Circle?The segment of a circle can be described as the region that is covered or surrounded by a chord and the corresponding arc that lies at both endpoints of the chord.
An example of a segment of a circle is shown in the picture attached below.
Therefore, the statement that best describes a segment of a circle is: D. A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.
Learn more about segment of a circle on:
https://brainly.com/question/436329
Select all the examples of categorical data. colors number of siblings favorite pet profits genre of music
Answer:
Color, favorite pet, genre of music
Step-by-step explanation:
Categorical variables are simply statistical variables which are non - numeric, usually employed in characterization and groupings based on a certain number of fixed attributes, categories. In the options atated above, the categorical variables fall under a heading with a limited and fixed attributes such as color, pet and genre of music. However, options such as number of siblings and profit are purely numeric variables which can take up any numeric digits and allow for direct numeric computation. They are called quantitative variables.
Answer:
colors, genre of music, favorite pet
You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).
Answer:
q(-1)=-2
Step-by-step explanation:
1) flip the equation:
4x+7=-1
2) subtract 7 from both sides:
4x=-8
3) divide both sides by 4:
x=-2
HOPE THIS HELPS!!!! :)
Sketch the graphs of the equations: y = −3 −x
This is a linear equation in slope-intercept form. We can see that the slope is -1 and the y-intercept is -3 -- the line passes through (0, -3).
To graph this, we can simply plot the point (0, -3) and draw a line with slope negative 1 (this means that for every unit right, we have to move 1 unit down.
I have attached a picture of the graph.
Hi. Please i need help with this question .
workings please
Find the perimeter of the diagram.
a. 41cm
b. 38cm
c. 37cm
d.35cm
e. 32cm
Answer:
b. 38 cm.
Step-by-step explanation:
Note that the 2 sides which are unmarked are the opposite sides of 2 rectangles so they are both = 2 cm.
Now we just add all the given sides.
Starting with 6 on the top and travelling clockwise:
Perimeter = 6 + 2 + 2 + 3 + 3 + 2 + 7 + 2 + 3 + 3 + 3 + 2
= 38 cm.
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)
Answer:
26% or 10/39
Step-by-step explanation:
Since box A has 5 dark chocolates and 10 milk chocolates, there are 15 chocolates in all. Box B has 24 chocolates in total (12 milk, 12 dark). So there is a total of 39 chocolates in all.
There are 10 milk chocolates in Box A, so the probability of choosing any one milk chocolate out of the total 39 is 10/39 or in percentage, 26%.
What is the volume of the following rectangular prism?
Answer:
65/8 units ³
Step-by-step explanation:
V = l x w x h
l x w = 16 1/4 units² = 65/4 units²
h = 1/2 units
V = 65/4units² x 1/2units = 65/8 units ³
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(-2) plz respond quickly
Answer:
f(-2) = -6
Step-by-step explanation:
f(x) = 5x + 4
Let x=-2
f(-2) = 5*-2 +4
= -10+4
= -6
Answer:
[tex]\boxed{f(-2) = -6}[/tex]
Step-by-step explanation:
[tex]f(x) = 5x-4[/tex]
Put x = -2
[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]
help me plzzzz i need help i need help right now right now
Answer:
the third one is correct
Can someone please help me?
Answer:
15=Does not have the right diagram
16=Does not have the right diagram
17=Sorry I can not draw that on a screen
18=4,8
19=5,4
20=2,7
21=5,8
22=145 Degrees
Step-by-step explanation:
15, Complementary angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines
16, According to the definition of supplementary angles, they are two angles that sum up to 180, and any two angles that are on the same line, same side and are being separated by a line are supplementary
17,
18, Corresponding angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines.
19, By the definition of Alternate Interior Angles, they are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal
20, By the definition of Alternate Exterior Angles, they are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal
21, Vertical angles are angles opposite of each other made by two intersecting lines
22, 1, and 2 are supplementary angles so 180-35=145=1. 1 and 8 are Alternate Exterior Angles so 1=8, substitute, 145=8
Hope this helps, if it did, please consider giving me brainliest, it will help me a lot. If you have any questions, feel free to ask.
Have a good day! :)
What is the mean absolute deviation of the data set {30,33,36,34,52}?
Answer:
6
Step-by-step explanation:
I took the test and got 100%
I hope i helped and that i get brainliest :P
Answer:
Step-by-step explanation:
1)To find the mean absolute deviation of the data, start by finding the mean of the data set.
2)Find the sum of the data values, and divide the sum by the number of data values.
3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4)Find the sum of the absolute values of the differences.
5)Divide the sum of the absolute values of the differences by the number of data values.
8. Solve for "x":
(5x + 2)
(x + 4)
Answer:
x = 29
Step-by-step explanation:
(5x + 2) + (x + 4) = 180
6x + 6 = 180
6x = 174
x = 29
I HOPE THIS HELPS
Answer:
x=29 degrees
Step-by-step explanation:
We know that the straight line is 180 degrees because definition of a straight. So we take 4 and 2 and subtract them off of 180. so 180-4-2=174. Now, we do 174/6 because you want to figure out how much times 6 can go into 174 because there are 6 x's (if that makes sense). So we get the answer 29 so x=29 degrees.
Basically, you want to combine like terms. So we combined the non-variable numbers and we subtract it off of 180. Then we take the variables and combine them. So in this case, it would be x+5x=6x. Then we need to figure out what x is so we just divide by 6 on both sides. So 6x=174 so x=29.
I hope this made sense.
Find the magnitude of the vector.
(-2,-7)
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\[/tex]
Then you need to simplify:
[tex]=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}[/tex]
Answer:
53
Step-by-step explanation:
Which of the following verifies that AABC is similar to A DEF?
Answer:
D
Step-by-step explanation:
According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.
The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.
A is incorrect because the similarity can be determined.
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
c rectangular prism i think
Step-by-step explanation:
Ordered pair for this point? (I circled the point in Pink)
Answer:
(-4,-3)
Step-by-step explanation:
The first coordinate of the ordered pair is the x value or go across
to the right is positive and the left is negative so x = -4
The second coordinate of the ordered pair is the y value or go up and down
up is positive and down is negative so y = -3
(-4,-3)
Answer:
(-4, -3)
Step-by-step explanation:
You can move 4 left from the x axis to get -4, and then move 3 down from the y axis to get -3, leading to the coordinates (-4, -3).
WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.
Step-by-step explanation:
The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.
The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.
feet.
The radius of Cylinder A measures
10
7
14
Answer:
14 I think
Step-by-step explanation:
Tell me if I'm wrong
Answer:
14
mark me brainy plz!
Step-by-step explanation:
60 points
Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.
8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__
Select one statement for each blank to correctly complete Lana’s work.
blank 1: 2xy(4x−5y)+3(4x−5y)
blank 1: −4x(2xy+3)+5y(2xy+3)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y
NEED PROOF FOR POINTS
Answer:
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Step-by-step explanation:
Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y
Step 1: Group the polynomial function
(8x²y−10xy²)+(12x−15y)
Step 2: Factor the common value and variables from the functions in parentheses.
= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))
= 2xy(4x-5y)+3(4x-5y)
Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.
(2xy+3)(4x-5y)
The final expression gives the factor form of the polynomial.
Hence the statement for each blank that correctly completes Lana's work are;
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
If sin theta = 4/5 and cos theta is in quadrant II, then cos theta and tan theta equal what?
Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].
[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
If sin θ = 4/5.
The value of the cosine is negative. Then the cosine of angle θ is given as,
cos θ = -√(1 - sin²θ)
cos θ = - √[1 - (4/5)²]
cos θ = - √[9/25]
cos θ = - 3/5
θ = 143.13°
The value of the tangent of angle θ is calculated as,
⇒ tan θ
⇒ tan 143.13
⇒ - 0.75
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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