Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3 chance of Alfredo randomly selecting a red spiral from his backpack?
Answer:
the fourth option
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag
1st option = 2 / 4 = 1/2
2nd option = 4/8 = 1/2
3rd option = 2/3
4th option = 2/6 = 1/3
the fourth option is correct
18 ABCDEFGH is a cuboid. AB= 7.3 cm CH= 8.1 cm Angle BCA = 48° F A E D G B Find the size of the angle between AH and the plane ABCD Give your answer correct to 1 decimal place. H C (Total for Question 18 is 4 marks)
The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.
To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.
First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:
BC = AB * sin(BCA)
BC = 7.3 * sin(48°)
BC ≈ 5.429 cm
Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:
BH = AB - BC
BH ≈ 7.3 - 5.429
BH ≈ 1.871 cm
Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:
cos(BAH) = BH / AH
cos(BAH) ≈ 1.871 / 8.1
BAH ≈ arccos(1.871 / 8.1)
BAH ≈ 74.4°
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70 POINTSS)NEED FAST ANSWERS)
A square with a side length of 42 meters was created from a square with a side length of 3.5 meters using a scale factor. What is the scale factor?
12:1
24:1
144:1
147:1
Answer:
multiply all of them then add all of them then divide by the lowest number
12:1 is the scale factor
3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1
Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.
Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio
To check go to:
https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
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What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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Isolate Y and change equation into slope intercept form 4x-y=6
Answer:
the equation 4x - y = 6 can be written in slope-intercept form as y = 6. In this form, the y-intercept is 6, and there is no slope, since there is no x term in the equation.
Step-by-step explanation:
To isolate Y and change the equation into slope-intercept form, we need to move all of the terms containing Y to one side of the equation, and all of the constant terms to the other side. We can do this by adding Y to both sides of the equation.
The original equation is 4x - y = 6. We can isolate Y by adding Y to both sides of the equation, which gives us 4x - y + y = 6 + y. Since Y appears on both sides of the equation, we can cancel it out by subtracting Y from both sides, which gives us 4x - 0 = 6 + y.
We can then rearrange the terms on the right side of the equation to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, we can move the 6 to the left side of the equation by subtracting it from both sides, which gives us y = 6 + y. We can then simplify this equation to get y = 6.
208 x 26 using long multiplication
Answer:
2 0 8
× 2 6
+ 1 2 4 8
+ 4 1 6
= 5 4 0 8
The Answer of 208 × 26 Is 5.408
Explanation.= 208 × 26
= (208 × 6) + (208 × 20)
= 1.248 + 4.160
= 5.408
__________________
Class: Elementary School
Lesson: Multiplication
\(\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:CyberPresents}}}}\)
Angle 4 and angle ____ are vertical angles.
A: 1
B: 2
C: 3
Answer:
angle 4 and angle 1 are vertical angles
Step-by-step explanation:
vertical angles are opposite each other
Select the statement that describes this expression: 8 + one half x (6 – 2) – 1.
Answer:
B).
Step-by-step explanation:
Add 8 to half the difference of 6 and 2 then subtract 1.
Answer:
I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
a is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3
Answer:
a) "K" is proportional Constant K= 0.0833
b) The value of b = 99.639
Step-by-step explanation:
Explanation :-
Given 'a' is directly proportional to 'b'
a ∝ b
a = k b ....(i)
where "K" is proportional Constant
Case(i):-
when a =6 and b=72
a = k b
⇒ 6 = k (72)
⇒ \(K = \frac{6}{72} = \frac{1}{12} = 0.0833\)
Case(ii):-
Given a = 8.3
a = k b
⇒ 8.3 = 0.0833 ×b
⇒ \(b = \frac{8.3}{0.0833} = 99.639\)
Final answer:-
a)"K" is proportional Constant K= 0.0833
b) The value of b = 99.639
What is the slope of the line represented by the equation y= 4/5X-3?
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(\frac{4}{5}\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The given equation is in slope-intercept form.⸻⸻⸻⸻
\(\boxed{\text{Slope-Intercept Form}}\\\\y = mx + b\\------------\\\rightarrow \text{m - slope}\\\\\rightarrow \text{b - Y Intercept}\)
⸻⸻⸻⸻
We are given the equation of:
\(y = \frac{4}{5}x - 3\)
The fraction \(\frac{4}{5}\) is in 'm's space. This would make it the slope.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
The slope is 4/5
Step-by-step explanation:
y= 4/5X-3
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 4/5
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?
Answer:
3/18
Step-by-step explanation:
Answer:
18:3
Step-by-step explanation:
acorns go first then squirrels cause the question says acorns TO squirrels
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
What is the answer to the following question?
Answer:
SAS similarity
Step-by-step explanation:
You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.
PLEASE PLEASE HELP
PLEASE HELP PLEASE HELP
The center of the hanger represents an equal sign, since both sides of the hanger are equal.
Given different coloured triangles and shapes, we can assign a variable to each of them.
Assigning VariablesLet one green triangle be equal to \(a\).
Let one blue square be equal to \(b\)
Let one red circle be equal to \(c\).
Let one yellow pentagon be equal to \(d\).
Creating TermsOn the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be \(3a\).
Under the triangles on the left side is 1 blue square. This means that the next term could be \(1b\), or just \(b\).
Next is 2 red circles ⇒ \(2c\)
And finally are 3 yellow pentagons ⇒ \(3d\)
To sum up the left side as an expression, we can write all the terms we have just written as a sum:
\(3a+b+2c+3d\)
Now, after doing the same procedure for the right side of the hanger, we get:
\(2a+3b+c+2d\)
Writing the EquationFor now, we only have two expressions representing the two sides of the hanger:
Left: \(3a+b+2c+3d\)
Right: \(2a+3b+c+2d\)
To turn these into an equation, we must have an equal sign.
Remember that both sides of the hanger are equal. Knowing this, we can state the following:
Left side = Right side
\(3a+b+2c+3d = 2a+3b+c+2d\)
Answer:\(3a+b+2c+3d = 2a+3b+c+2d\)
What is the area?
30
32 in
Step-by-step explanation:
Here's your solution
=> Base = 32 In
=> Height = 30 in
=> Area of traingle = 1/2*base *height
=> putting the value of base and height in formula
=> Area = 1/2*30*32
=> Area = 480 in sq
hope it helps
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ
=
50.2
. You would like to be 90% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required?
Using the sample size relation with the standard normal distribution, the required sample size is 3032 samples.
What is Normal distribution ?
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Using the sample size relation with the standard normal distribution, the required sample size is 673 samples.
n = [(Z* × σ) / ME]²
ME = margin of error
Z* = Z critical at 90% = 1.645
Substituting the values into the equation :
n = [(Z* × σ) / ME]²
n = [(1.645 × 50.2) / 1.5]²
n = (82.6/ 1.5)²
n = 55.06
n ≈ 3032
Therefore, the Number of samples required is 3032 samples.
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How many lines of symmetry does this figure have
Answer:
d
Step-by-step explanation:
Answer:
B) 1
Only 1 line of symmetry
Step-by-step explanation:
This shape/figure is a heart, and a heart shape can only be divided into symmetry once!
I hope this helped :)
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
1+2+5834-54545246
43122
Answer:
-5454524637285
Step-by-step explanation:
Calculator lol
Please help me, ASAP tyyy
Answer:
\(531\:\text{students}\)
Step-by-step explanation:
This question implies a constant rate or proportion to estimate the number of students who may choose chocolate from a larger sample size. Therefore, we can set up the following proportion and solve:
\(\frac{59}{200}=\frac{x}{1800},\\\\x=\frac{1800\cdot 59}{200},\\\\x=\boxed{531}\)
When is a repeating decimal acceptable to use during calculations? When should you convert a repeating decimal to a fraction for calculations?
A repeating decimal is acceptable to use during calculations when you require a certain level of precision
When is a repeating decimal acceptable to use during calculations?A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.
It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.
On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.
Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.
Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.
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Please help me solve this, it’s the last question.
The value of the double integration is 7776 after solving and integration. the answer is 7776.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
Double integration (x + y) dA
y = x²
y² = 216x
y = √216 √x
∫∫(√216 √x + x²)
After solving:
\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)
=7776
Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.
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Which is a function and what is not a function?
how many days are in a year?
A Julian year, used for astronomical calculations, has 365.25 days:
By convention, the Gregorian calendar year has 365 days.
To compensate, a leap year occures every 4 years, except for years that are divisable by 100 and not divisable by 400.
Answer: 365 days.
What is the volume of this figure?
Enter your answer in the box.
yd³=
7 yd
30 yd
10 yd
9 yd
The volume of the given figure above would be = 4,095 yards³.
How to calculate volume of the given figure?To calculate the volume of the given figure, it is first divided into two giving rise to a rectangular prism and a trapezoidal prism.
The volume of a rectangular prism= length×width×height
where;
length= 30yrds
width= 9 yards
height= 7 yards
volume= 30×9×7 = 1,890yards³
The volume of a trapezoidal prism= ½(a+b)×h×l
where;
a= 19yd
b= 30yd
h= 10yd
l= 9 yd
volume= ½(19+30)×10×9
= 49×5×9
= 2,205yards³
Therefore, the total volume of the figure would be ;
= 1,890+2,205
= 4,095 yards³
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