Answer:
∠J = 31.06°
Step-by-step explanation:
Taking the inverse sin function :
sin ∠J = 1.6/3.1J = sin⁻¹ (0.516)∠J = 31.06°When Tariq goes bowling, his scores are normally distributed with a mean of 110 and a standard deviation of 10. Using the empirical rule, what percentage of the games that Tariq bowls does he score between 80 and 140
Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.
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∆CAT ≅ ∆DOG. Find x.
Answer:
A
Step-by-step explanation:
since the triangles are congruent , then corresponding sides are congruent
AC = OD
8x - 6 = 3x + 9 ( subtract 3x from both sides )
5x - 6 = 9 ( add 6 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Group the terms with variables on one side of the equal sign and simplify.
19p = 10p + 54
9p = 54
9p = −54
29p = 54
29p = −54
Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Step-by-step explanation:
my dear this is very very simple
you can definitely solve it by yourself.
just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.
19p = 10p + 54
so grouping like terms:
10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign
so we have,
19p -10p = 54
since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)
so we get:
9p = 54 ( 9 apples = 54)
option (A)
Hope this helps.
Ace that assignment.
Good luck ✅.
you're super free to ask any further questions okay.
An ice cream shop will allow you to build your own sundae. You must choose from vanilla, chocolate, or strawberry ice cream. You must choose with or without bananas, with or without nuts, and must pick between chocolate and caramel syrup. How many sundaes can you build?
Answer: 24
Step-by-step explanation: 3*2*2*2=24
You can build 24 sundaes
Using trig to find a side
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 117.8
Step-by-step explanation:
The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.
Taking the tan value of the listed angle :
tan 50° = x/99
1.19 = x/99
x = 1.19 × 99
x = 117.8 (nearest tenth)
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into cach
bottle?
A. 8/12
*
B. 2 2/8
C. 8/26
D. 2 4/8
Answer:
b
Step-by-step explanation:
to find the answer to this you sould divide the amount of pints by the number of bottles
18/8
which is also 2 2/8
so the answer is b
Complete this statement:
Identify the axis of symmetry, vertex, and y intercept of y=-6x^2+12x-8
Answer:
See below for answers and explanations (with attached graph)
Step-by-step explanation:
It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:
[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]
Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:
[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]
Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.
A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year. The graph shows the unit sales of this item in the years since the store started stocking it.
The data is best modeled by a
Square Root, Quadratic, Linear
Based on the graph, the store owner
should
Should Not
The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.
How do we know that the graph models a quadratic function?Because it decreases in value until the minimum value, then it increases again.
After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.
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help me please, will mark brainliest!
Step-by-step explanation:
remember (always remember) : a probability is desired cases divided by total possible cases.
what is our total here ?
1388 students at this school
what are our desired cases here ?
every student, who bikes to the school : 207
so, the probability that a randomly picked student is biking to the school is
207/1388 = 0.149135447...
so, b. is the right answer.
please let me know what is not clear to you.
we solved now many probability questions together, but this is very, VERY basic, and you could not do it.
so, what is not "clicking" with you ? what do you need explained ?
Find the surface area of the prism.
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
(Screenshot included Need answer fast) easy question for experts. Select the graph that matches the equation y = 2 4/7x − 3
Answer: B
Step-by-step explanation:
This equation is in y = mx + b form, also known as slope-intercept form.
First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.
Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.
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14. A bag contains 20 marbles. There are 4 blue
marbles, 10 green marbles, and 6 red marbles.
A marble is randomly selected from the bag. What is the
probability that the marble is red?
Answer:
30%, or 1/3
Step-by-step explanation:
If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.
Hope this helps! :)
7-12 find the limit.
8. [tex]\lim _{t \rightarrow \infty} \frac{t^{3}-t+2}{(2 t-1)\left(t^{2}+t+1\right)}[/tex]
Divide through the limand by the highest power of t :
[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]
(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)
As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with
[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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12
y
8
41.81
48.199
33.69
56.31
ninate Education, Inc.
Answer:
hope this help you
Step-by-step explanation:
[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]
Will mark brainlist to whoever answers first!
Full explanation please
Answer:
D
Step-by-step explanation:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,
J-(2,2)
A-(4,4)
--
G-(-2,-2)
C-(-4,-4)
--
H-(4,4)
B-(8,8)
Sara can paint a small deck in 7 hours. Together with Joe, they can paint the deck in 3 hours.
How long would it take Joe to paint the deck by himself? Write a Rational Equation and use it to
solve for the answer to this question.
Answer:
12/5 hours
Step-by-step explanation:
Let the total area to be painted be X
Let S be the rate at which Sally paints and J be the rate at which Joe paints
We have:
X/S = 4 hours (1)
X/J = 6 hours (2)
(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)
From (3) and (4)
J/S = 2/3 or J =2/3 × S
If they both paint at the same time time taken is
X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours
what is 2.75% of 210,547
Answer:
5,790.0425
Step-by-step explanation:
Which is a regular hexagon?
A.
B.
C.
D.
A regular hexagon consists of 3 main characteristics:
It is a closed shape.Six equal sidesSix equal anglesAnswer: Here u go
Step-by-step explanation:
Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?
Answer:
10 girls and 11 boys
Step-by-step explanation:
That is the answer!!
Answer:
There are 10 girls and 11 boys.
Step-by-step explanation:
Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.
one day she counts 21 seats and 30 wheels. the equation representing
The equation represents 21 seats and 30 wheels will be given as B.
u + 2b = 30
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 21 seats and 30 wheels.
u is the number of unicycles and b is the number of bicycles.
There are total 21 seats
⇒ u+b=21
unicycle has 1 wheel and bicycle has 2 and total there are 30 wheels
⇒ u+2b=30
Hence,the equation represents 21 seats and 30 wheels will be given as B. u + 2b = 30
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Which graph shows a dilation?
The graph that shows a dilation would show the reduction or enlargement of the original figure (see attachment).
What is a Dilation?Dilation is defined as a form of transformation where a figure is enlarged or reduced by scale factor. Simply put, a dilation is a process of resizing an original image.
The image containing the referenced graphs is missing. However, the image below shows what a dilation is.
Thus, the graph that shows a dilation would show an enlargement or reduction.
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Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?
(2, –4)
(1, 3)
(–4, 2)
(3, 1)
Answer:
C
Step-by-step explanation:
CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of the door if it is 7 feet high?
Answer:
width = 3 feetStep-by-step explanation:
Let h be the height of the door
and w be its width
The statement “The height of the door is I foot more than twice its width”
can be translated mathematically like this : h = 2w + 1
Let’s solve the equation for w:
h = 2w + 1
⇔ 2w = h - 1
[tex]\Leftrightarrow w=\frac{h-1}{2}[/tex]
now , if the door is 7 feet high then it’s width is equal to :
[tex]\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft[/tex]
Answer:
3 feet
Step-by-step explanation:
It mentions that the height of the door is 1 foot more than twice its width.
height (h) = 2 × width (w) + 1 footThe width of a door of height 7 feet will be :
7 feet = 2 × width (w) + 1 foot2× width (w) = 6 feetwidth (w) = 3 feetfind three numbers whos sum is 86, if the first number is three times the difference between the second and the third, and the second number is two more than twice the third.
Answer: 45,28,13
Step-by-step explanation:
Firstly let’s call integer 3
‘x’
Following the information given the following equations can be constructed:
integer 3 = x
integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two
integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3
next we can treat them like their own variables almost.
integer 1 + integer 2 + integer 3 =86
so now plug in the equations we have constructed for each integer:
(3((2x+2)-x)) + (2x+2) + x = 86
to make it easier to read please see the image attached below to solve for x
After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)
now plug in 13 into our integer equations :
integer 2: 2(13)+2= 28
Therefore integer 2 is 28
integer 1: 3((2(13)+2)-(13))=
3((28-13)
3(15)
45
Therefore integer 1 is 45.
and integer 3 is x which as we now know is equal to 13
If the positive difference between 3.2 and 1.09 is multiplied by 0.47, the result is:
Answer:
0,9917
Step-by-step explanation:
3.2 - 1.09 = 2.11
2.11 multiplied by 0.47 = 0.9917
What is the monthly payment on a 48-month loan for $28,000 with 2% interest?
Amortization formula:
$585
$608
$618
$625
plx help me plx ? can u tell me the answer of this algebra equation 2(x+3)+3(×-4)
Step-by-step explanation:
[tex] = 2(x + 3) + 3(x - 4)[/tex]
[tex] = 2x + 6 + 3x - 12[/tex]
[tex] = 2x + 3x + 6 - 12[/tex]
[tex] = 5x - 6[/tex]
...
A linear pair must add up to 180 degrees is true or false?
Answer:
true
Step-by-step explanation: