Answer:What is the probability of spinning a 2 on the spinner?
Image result for You roll a number cube and then spin a spinner with two equal-sized sections. What is the probability of rolling a number greater than 3 and spinning red? A. 1/4 B. 1/6 C. 1/3 D. 1/2
There are 2 sections on the spinner that contain a '2'. The probability of spinning a 2 is 2 / 8 . The probability of spinning a 3 is also 2 / 8
Step-by-step explanation:
The probability of rolling a number greater than 3 and spinning red is 1/4.
We need to determine the favorable outcomes (the outcomes that satisfy both conditions) and the total possible outcomes.
The numbers greater than 3 and corresponding to the red section are: 4R, 5R, and 6R. So, there are 3 favorable outcomes.
Since we have a number cube with 6 sides and a spinner with 2 sections, the total possible outcomes are the product of the number of sides on the cube and the number of sections on the spinner, which is 6 × 2 = 12.
The probability is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Probability = Favorable outcomes / Total possible outcomes
= 3 / 12
= 1 / 4
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In the figure diameter DE is drawn with the midpoint of the circle at C(-3; 2).
EA is a tangent to the circle at E (1,3).
Answer:
4
Step-by-step explanation:
[tex]gradient = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]y2 = - 3 \\ y1 = 3 \\ x2 = 2 \\ x1 = 3[/tex]
[tex] \frac{ - 3 - 1}{2 - 3} = \frac{ - 4}{ - 1} = 4[/tex]
What is the length of side a? Round to the nearest tenth
Answer:
○ [tex]\displaystyle 12,9[/tex]
Step-by-step explanation:
Use the Law of Sines to find the length of the second edge:
Solving for Angles
[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]
Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]
Let us get to wourk:
[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]
I am joyous to assist you at any time.
Click all the questions that are considered statistical questions. No links please.
Answer:
The first three are not statistical, the last three are.
A school needs 138 5 meters of fencing for a new playground Fencing is
sold in 12-foot sections. How many sections of fencing should be
purchased to fence the playground? PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!
Answer:
12 Sections
Step-by-step explanation:
With 138.5 meters needed and fencing being purchased in 12-foot sections, you would need 12 sections purchased. 138.5/12=11.54, this is rounded up to 12 because of the purchase size.
A polynomial p(x) has 3, 2-i, and √3 as its roots and goes through (0,-90), find p(x)
Answer:
p(x) = -2x⁵ +14x⁴ -28x³ -12x² +102x -90
Step-by-step explanation:
Assuming the desired polynomial has real and rational coefficients, each of the complex and irrational roots has a corresponding conjugate. That is, the roots of p(x) must include ...
{3, 2 -i, 2 +i, √3, -√3}
Each of these roots corresponds to a linear factor. Root p corresponds to factor (x -p), for example.
__
Factored formThen the factored p(x) will be ...
p(x) = k(x -3)(x -(2 -i))(x -(2 +i))(x -√3)(x +√3) . . . . for some scale factor k
Simplifying a bit, we have ...
p(x) = k(x -3)((x -2)² +1)(x² -3) = k(x -3)(x² -4x +5)(x² -3)
__
Scale factorAt x=0, this evaluates to ...
p(0) = k(0 -3)(0² -4·0 +5)(0² -3) = 45k
We want p(0) = -90, so we require ...
45k = -90
k = -2
__
Then the function p(x) factored to integers is ...
p(x) = -2(x -3)(x² -4x +5)(x² -3)
When we multiply this out, we find the standard form equation is ...
p(x) = -2x⁵ +14x⁴ -28x³ -12x² +102x -90
Question 9 of 14 V
Question 9
Levi was designing a kite. He needs to determine the measure of A before cutting the fabric.
(1100
(6x + 4)º
A А
(4x + 26)
What is the measure of angle A?
The measure of angle A in the kite before cutting the fabric is 42 degrees.
What is a kite?A kite is a quadrilateral with four sides and four angles. Adjacent sides are equal, and the diagonals bisect each other at 90 degrees.
Also, there is a pair of equal opposite angles.
From the diagram:
110 + (6x + 4) + (4x + 26) = 180 (sum of angles in a straight line)
10x + 30 = 70
x = 4
∠A = 4(4) + 26 = 42°
The measure of angle A in the kite before cutting the fabric is 42 degrees.
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Rewrite 4 as a fraction.
4/4
4/1
1/4
Answer:
4/1
Step-by-step explanation:
when you divide 4 by 1 you will get 4 which is your original answer.
23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
24. The speed of a skidding car is directly proportional to the
square root of the length of the skid. On a snowy road, a car
with good brakes traveling at 40 mph would skid approxi-
mately 178 ft. If the skid marks of a similar car on a similar
road were 400 ft, how fast would this car be traveling?
24. If the skid marks of a similar car on a similar road were 400 ft, how fast would this car be
traveling?
The direct variation that of the speed to the skid length implies that the speed increases as the length increases
The car would be traveling at 59.96 mph
How to determine the speed of the skidding car?A direct variation that illustrates the speed of the skidding car is:
s = k√l
Where:
s represents the speed of the carl represents the length of the skidk represents the proportionality constantMake k the subject in s = k√l
k = s /√l
Rewrite as:
s₁ /√l₁ = s₂ /√l₂
Substitute known values
40 /√178 = s₂ /√400
Evaluate the square root of 40
40 /√178 = s₂ /20
Multiply both sides by 20
800 /√178 = s₂
Evaluate the quotient
s₂ = 59.96
Hence, the car would be traveling at 59.96 mph
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A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes?
16 ft
17 ft
18 ft
19 ft
Answer:
19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.
so,median=9ft
Mai earns a salary of $200 per week plus an additional 5% commission on her sales. If
Mai's weekly salary increases by $25 and her commission increases to 6%, how much will
she earn if her weekly sales are $2,500?
so Mai had booming sales of $2500, now her commission used to be 5%, but since she rules it went up to 6%, how much is her commission on that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 2500}}{\left( \cfrac{6}{100} \right)2500}\implies 150[/tex]
since her salary which used to be $200 but is now 200 + 25 = $225, so for that week she earned 225 + commission or 225 + 150 = 375.
Mika’s gym allows her to bring 3 guests for free. After the first three, she must pay $7 per guest. How many guests, g, can she bring to the gym if she pays $42?
Answer:
9 guests
Step-by-step explanation:
the first 3 guests are free and anyone after is 7 per guest
well if we divide 42/7 we get 6
and we add the 3 we get 9 guests.
This makes sense due to the fact that the first 3 guests are free and we are paying for everyone else after them. So it's 7 dollars a student therefore, 9 guests.
Find the area of the triangle b= 12.4 cm and h= 18 cm
Answer:
111.6 cm
Step-by-step explanation:
The area of a triangle can be calculated using the following formula:
Area = (base x height) / 2
Using this formula we can solve this problem in the following way:
We know base = 12.4, and height = 18(12.4 x 18) / 2 = 111.6Hope this helps!!
Answer:
answer 111.6 cm^2.......
six times three added to seven
pa answerr-,-
Answer:
25 :) hope this helps you
:v
What is 3x + 2y = 12 (show your work)
Answer:
y = (-3/2)x + 6
Step-by-step explanation:
3x + 2y = 12
2y = -3x + 12
÷2 ÷2 ÷2
y = (-3/2)x + 6
Slope: (-3/2)
Y-intercept: (0,6)
I hope this helps!
Which function has a constant additive rate of change of –1/4?.
AB = 18, BC = 9, then AC = __
Answer:
AC=162/B
Step-by-step explanation:
AB= 18
A=18/B
BC=9
C=9/B
AC=18/B * 9/B
AC=162/B
Helppppp!!!!!!!!!
I need this before midnight
Answer:
a) 9am
b) 10am
c) 50 miles
d) 30 minutes
e) 11:30
f) 90 miles
Identify the value of y.
7(5-5y) = 9y-4-357
Hey there!
Let's solve this equation!
The first step is to use the Distributive Property.
7(5-5y)=9y-4-357
35-35y=9y-361
Combine Like Terms:
-35y-9y=-361-35
-44y=-396
Divide both sides by -44:
y=9
Hence, the answer is:
[tex]\boxed{\boxed{\bold{y=9}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
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#LearningIsFun
[tex]\rule{200}{2}[/tex]
What is the
Height?
Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.
Answer:
the answer is the number 23
help me pls pls bro pls
Plese help me.....
GOD WILL BLESS YOU
4 11
8 22
16 n
8 x n = 22 x 16
n = 44
Why is math super hard??
Find the decimal approximations for these give your answers to 1 decimal place.
a)square root of 3
b)square root of 21
c)square root of 62
Answer:
A) 1.7
B) 4.5
C) 7.8
help again thank you .
Answer:
Left 2, up 1
Step-by-step explanation:
If you use slope, remember rise/run. You go up then left.
Answer: left 2 up 1
Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps
A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?
seven less than the product of a number n and 1/3 is no more than 95
Ms. James class is making bracelets. A bracelet I made out of 3 pieces of string that are each 6 inches long. How many YARDS of string does the class need to make 84 bracelets?
Answer:
42 yards.
Step-by-step explanation:
3 x 6 is 18. 18 x 84 is 1512. 1512 divided by 12 is 126. 126 divided by 3 is 42.
Main Factoring Special Case Quadratics
[tex]81c {}^{2} - 4 = (9c - 2)(9c + 2)[/tex]
since it is in the form of:
[tex]x {}^{2} - y {}^{2} = (x - y)(x + y)[/tex]
2)
[tex]75x {}^{2} - 27y {}^{2} = (5 \sqrt{3} x - 3 \sqrt{3} y)(5 \sqrt{3} x + 3 \sqrt{3} y)[/tex]
3)
[tex]z {}^{2} + 12z + 36[/tex]
[tex]z {}^{2} + 6z + 6z + 36[/tex]
[tex]z(z + 6) + 6(z + 6)[/tex]
[tex](z + 6)(z + 6)[/tex]
[tex](z + 6) {}^{2} [/tex]
4)
[tex]4f {}^{2} + 18f + 18f + 81[/tex]
[tex]2f(2f + 9) + 9(2f + 9)[/tex]
[tex](2f + 9)(2f + 9)[/tex]
[tex](2f + 9) {}^{2} [/tex]
5)
[tex]49a {}^{2} - 14a + 1[/tex]
[tex](7a - 1) {}^{2} [/tex]
6)
[tex]x {}^{4} - 16[/tex]
[tex](x {}^{2} - 4)(x {}^{2} + 4)[/tex]
The vertices of a quadrilateral drawn in a coordinate plane are (-6,6), (4,6), (2,-5), and (-6,-9). what is the length of the side joining the vertex in quadrant i to the vertex in quadrant 11? a) 2 b) 8 c) 10 d) 12
Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:
c) 10
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:
[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]
Which means that option C is correct.
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Can someone please help me with this?
Answer:
[tex]403.06 cm^2; 100.77cm^2[/tex]
Step-by-step explanation:
Ok, step 1. What's the measure of the internal angle of a dodecagon? After some splitting in triangles you get that's [tex](n-2)\pi = 10\pi[/tex]. That makes each angle measure [tex]\frac{10}{12}\pi[/tex].
That allows us to split the whole figure in 12 isosceles triangles with (congruent) angles of [tex]\frac5{12}\pi[/tex]. Consider just one, red in my picture. The height of that triangle - orange "vertical" line - can be found with some trigonometry as [tex]3tan \frac5{12}\pi \approx 11.2 cm[/tex]
At this point one triangle has area [tex]\frac12 \cdot 6\cdot 11.2 = 33.6 cm^2[/tex] and the whole cookie has area as 12 triangles [tex]403.06 cm^2[/tex].
After her eating spree, you're left with 3 triangles, for a grand total of [tex]100.77 cm^2[/tex]