Answer:
x = 37.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 63 = x /19
19 tan 63 =x
x=37.28959
To the nearest tenth
x = 37.3
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n= 64, x= 3, p= 0.04
Answer:
0.2210
Step-by-step explanation:
If p = 0.04
then 1-p = 1 - 0.04 = 0.96
So we have the probability distribution value
as;
n C r * p^r * (1-p)^(n-r)
Thus;
64 C 3 * p^3 * (1-p)^(64-3)
= 64 C3 * 0.04^3 * 0.96^61
where 64 C 3 is 64 combination 3
= 41,664 * 0.04^3 * 0.96^61
= 0.2210
Simple angle please help :)
y = 42°
Because the angle at the side of right angle will also be right angle or 90°
Sum of all angles of a triangle = 180°.
So, 48° + 90° + y = 180°
=> 138° + y = 180°
=> y = 180° - 138°
=> y = 42°
Angles on a straight line are 180. Therefore, 180 - 90 (right angle) = 90
Angles in a triange add to 180.
90 + 48 = 138
180 - 138 = 42
y = 42—————— (not sure if you need this, but:)
To work out x, you would do:
Angles on a straight line add to 180.
180 - 48 = 132
132/2 = 66
x = 66To work out z:
Angles in a triangle add to 180. You know x is 66, so
66 + 90 (right angle) = 156
180 - 156 = 24
z = 24What is the domain of this function?
Answer:
1,2,3,4
Step-by-step explanation:
I'm not sure, but i think it is
Given that SQ is the perpendicular bisector of PR , set up the equation needed to solve for n and find the value of of n
** Fill in the blanks for full credit**
Step-by-step explanation:
the equation is
3n-1 = 5n-7
2n= 6
n= 3
I need help!! h(x)=x^2-5 Find h(-7) simplify your answer.
hello please help me !
Answer:
The answer is D.
Step-by-step explanation:
D is the only choice that properly connects each part of the equation, such as 6*50-6 -> 300-6.
Stephen wants to use the Angle Angle Similairity Theorem to determine if the street between the park and bus stop is parallel to the street between his friend's house and the grocery store. He knows the angle between the bus stop, the park, and his home. Which other angle does he need to know?
Answer:
The angle between his home, his friends house and grocery store
Step-by-step explanation:
The given angle are;
The angle between the bus stop, the park and his home
The Angle Angle Similarity Theorem can be used to determine if the streets are parallel by verifying if there are congruent corresponding angles on the streets between his friends house and the grocery store and the street between the park and the bus stop
Therefore, the angle he needs to know is the angle between his home, his friends house and grocery store which are same side interior angles and they should sum to 180° to give the angle between the road and the other side of his friend's house
I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.
The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB - CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm, EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem: 2*4= 2.5 * ED
ED = (2 * 4)/2.5
3.2 cm.
Answer:
1) It is given that line AB is tangent to the circle at A.
∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)
Thus, the measure of ∠CAB is 90º.
Which expression is equivalent to ____?
Answer: B) ^6√2
Both expressions equal 1.22
Step-by-step explanation:
By selling a mobile for Rs.30, 000, Shankar gains 5%. Find the CP of the mobile.
Answer:
Rs. 28,571.4
Step-by-step explanation:
Let
Cost price = x
Profit = 5% of x
= 0.05x
Selling price = Rs.30, 000
Profit = Selling price - cost price
0.05x = 30,000 - x
Collect like terms
0.05x + x = 30,000
1.05x = 30,000
x = 30,000/1.05
x = Rs. 28,571.428571428
Approximately,
Cost price = x = Rs. 28,571.4
Given m
II
n, find the value of x.
m
n
20
119°
Please help
x=119
hope it doesn't help you!!
There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(not red)
Answer:
25%
Step-by-step explanation:
We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.
me podrian ayudar con esto?-- cual es la factorizacion prima del 90 y su respectivo proceso
Answer:
[tex]2*3^{2} *5[/tex]
Step-by-step explanation:
90 = 45 = 15 = 5
2 3 3
2 3
2
Which equation is equivalent to the given equation?
- 4(x – 5) + 8x = 9x – 3
Hi!
-4(x - 5) + 8x = 9x - 3
-4x + 20 + 8x = 9x - 3
-4x + 8x - 9x = -3 - 20
-5x = -23
Answer: B
Answer:
B
Step-by-step explanation:
-4x +20 +8x = 9x -3. That's equall to 4x+20=9x-3. subtract 9x both sides, -5x+20=-3. subtract 20 both sides, -5x=-23.
A group of 17 students participated in a quiz competition. Their scores are shown below:
Score 0–4 5–9 10–14 15–19 20–24
Number of students 4 5 2 3 3
Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Part A
Answer: HistogramExplanation:
A histogram is best because it helps show how the scores breakdown for the various bins or intervals or classes. It's effectively a visual summary of a grouped frequency table.
A dot plot would not work because we don't know the specific scores, but rather just the general region of where they fall.
A box plot doesn't work well either because we lose information on how the distribution is broken down. Sure we get the five number summary out of it, but we don't see how the bins are set up.
============================================================
Part B
We have the categories or bins of 0-4, 5-9, 10-14, 15-19, 20-24. Each bin will correspond to a bar that tells us how frequently the values show up. It tells us how frequent or how many scores we got in that sub-interval.
The bin 0-4 has a bar that is 4 units high which means we got 4 scores that are between 0 and 4The bin 5-9 has a bar that is 5 units high, so we have 5 scores between 5 and 9.The bin 10-14 has a bar that is 2 units high since we have 2 scores in this region.And so on. This all leads to the histogram shown below.
Answer:
Part A is a histogram.
Part B draw a histogram
Step-by-step explanation:
This is because a dot plot and a box plot are too specific for how the data was given. We don't know the exact number for each student.
Part B The x axis would be labeled by the groups, 0-4, 5-9, 10-14, 15-19, 20-24. The y axis would be labeled number of students. Then you could color in the area matching the correct number of students for each category.
what must be added to x3-3x2-12x+19 so that the result is exactly divisible by x2+x-6?
Answer:
[tex]x^3-3x^2-12x+19[/tex] is divisible by [tex]x^2+x-6[/tex] when [tex]2x+5[/tex] is added to it.
Step-by-step explanation:
Let [tex]p(x)=x^3-3x^2-12+19[/tex] & [tex]q(x)=x^2+x-6[/tex]
By division algorithm, when p(x) is divided by q(x), the remainder is a linear expression in x
So, let [tex]r(x)=ax+b[/tex] is added to [tex]p(x)[/tex] so that [tex]p(x)+r(x)[/tex] is divisible by [tex]q(x)[/tex]
Let, [tex]f(x)=p(x)+r(x)[/tex]
⇒ [tex]f(x)=x^3-3x^2-12x+19+ax+b[/tex]
⇒ [tex]f(x)=x^3-3x^2+x(a-12)+b+19[/tex]
We have,
[tex]q(x)=x^2+x-6=(x+3)(x-3)[/tex]
Clearly, [tex]q(x)[/tex] is divisible by [tex](x-2)[/tex] and [tex](x+3)[/tex]
{ [tex](x-2)[/tex] and [tex](x+3)[/tex] are factors of [tex]q(x)[/tex] }
We have,
[tex]f(x)[/tex] is divisible by [tex]q(x)[/tex]
⇒ [tex](x-2)[/tex] and [tex](x+3)[/tex] are factors of [tex]f(x)[/tex]
From factors theorem,
If [tex](x-2)[/tex] and [tex](x+3)[/tex] are factors of [tex]f(x)[/tex]
then [tex]f(2)=0[/tex] and [tex]f(-3)=0[/tex] respectively,
⇒ [tex]f(2)=0[/tex] ⇒ [tex]2^3-3(2)^2+2(a-12)+b+19=0[/tex]
⇒ [tex]8-12+2a-24+b+19=0[/tex]
⇒ [tex]2a+b-9=0[/tex]
Similarly,
[tex]f(-3)=0[/tex] ⇒ [tex](-3)^3-3(-3)^2+(-3)(a-12)+b+19=0[/tex]
⇒ [tex]-27-27-3a+36+b+19=0[/tex]
⇒ [tex]b-3a+1=0[/tex]
Subtract (1) from (2)
[tex]b-3a+1-(2a+b-9)=0-0[/tex]
⇒ [tex]b-3a+1-2a-6+9=0[/tex]
⇒ [tex]-5a+10=0[/tex] ⇒ [tex]5a=10[/tex] ⇒ [tex]a=2[/tex]
Put [tex]a=2[/tex] in equation 2
⇒ [tex]b-3[/tex] × [tex]2+1=0[/tex] ⇒ [tex]b-6+1=0[/tex] ⇒ [tex]b-5=0[/tex] ⇒ [tex]b=5[/tex]
∴ [tex]r(x)=ax+b[/tex] ⇒ [tex]r(x)=2x+5[/tex]
Hence, [tex]x^3-3x^2-12x+19[/tex] is divisible by [tex]x^2+x-6[/tex] when [tex]2x+5[/tex] is added to it.
Hope this helps...
find the square root of the following number 8136.04
Answer:
90.2
Step-by-step explanation:
Assuming that you can use a calculator, you would need to type in the square root symbol and type in the value 8136.04.
The square root of 8136.04 is 90.2.
PLEASE HELP ASAP
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 186,160 193,606.40 201,350.66
House 2 (value in dollars) 190,000 201,000 212,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
In this question, two houses have an initial value of $179,000, and the projected values are given in the tables for houses 1 and 2.
Part a:
If the absolute value of the change is always the same, it is linear.
If the rate is the same, it is exponential.
House 1:
We have that:
193,606.4 - 186,160 = 7446.4
201,350.66 - 193,606.40 = 7744.26
Let's try exponential:
[tex]\frac{193,606.4}{186,160} = 1.04[/tex]
[tex]\frac{201,350.66}{193,606.40} = 1.04[/tex]
For house 1, the rate of change is the same, and thus, it is exponential.
House 2:
212,000 - 201,000 = 201,000 - 190,000 = 11,000.
Absolute value of change is the same, so linear.
Thus, for house 1, an exponential function is used, as the rate of change is the same, and for house 2, as the absolute value of change is always the same, it is linear.
Part B
House a:
Exponential function, with initial value of $179,000, and exponential growth rate of 1.04 - 1 = 0.04. Thus:
[tex]f_a(x) = 179000(1+0.04)^x[/tex]
[tex]f_a(x) = 179000(1.04)^x[/tex]
House b:
Linear function, with initial value of $179,000, increasing by $11,000 each year. So
[tex]f_b(x) = 179000 + 11000x[/tex]
Part c:
House a after 30 years:
[tex]f_a(30) = 179000(1.04)^30 = 580,568[/tex]
House b after 30 years:
[tex]f_b(30) = 179000 + 110000(30) = 509,000[/tex]
In 30 years, house a will have a value of $580,568, while house b will have a value of $580,568. House a will have a higher value, due to exponential growth.
For more about linear/exponential growth, you can check https://brainly.com/question/14983998
What is the answer to this ?
Answer:
Not enough informationone side should be given.
-------------------------
hope it helps...
have a great day!!
Plsss help... question from gradients. Will give brainliest
Answer:
uwuwhwhwnwjwjwiwieiwiwjwjjejeejjwje
Step-by-step explanation:
euwwuwjw
What are the solutions of x2+ 6x-6= 10?
X=-11 or X= 1
X=-11 or X=-1
X=-8 or X=-2
X=-8 or X= 2
Diego's family truck holds 21 gallons of fuel. Each day the car uses 1.5 gallons of fuel. A warning light comes on when the remaining fuel is 2.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 10 days without the warning light coming on? Explain or show your reasoning. Starting from a full tank, can Diego's family drive the car for 15 days without the warning light coming on? Explain or show your reasoning. Diego says the expression 21 - 1.5t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for? Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming on. Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly what the solution to the inequality means in the context of this situation
Answer:
The inequality is 0.6x < 12.5
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
0.6x < 12.5 inequality that represent the situation
Solve for x
x < 12.5/0.6
x < 20.8 days
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
please help me answer this
Answer:
10000000
Step-by-step explanation:
gitcy is good for your spleen
Find the value or JM in the image below
Please help, I will give brainliest if you explain.
Answer:
A.
Step-by-step explanation:
Basically.. when you draw a line from the vertex of a right triangle's 90 degree angle to its hypotenuse, it'll make two triangles with the same angles. Then you can use ratios to discern the size of said rectangles. I hope that helps.
HELP I WILL GIVE BRAINLIEST
Answer:
A.) 6.4 units
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of AB.
If we find the horizontal and vertical distance of A and B, we form a triangle, with leg lengths of 5 and 4.
Now, we just solve using the Pythagorean theorem.
5^2 = 25
4^2 = 16
25 + 16 = 41
sqrt 41 ≈ 6.4 units.
Hope this helps!
If there is something wrong, just let me know.
A line segment has one endpoint of A (2,5) and a slope of (2/3). Find coordinates for B
Answer:
B could be (4,8), (6,11), (8,14), (10,17), (12,20), etc.
Step-by-step explanation:
quick mafhs
Find AB, given that line AD is the perpendicular bisector of BC
Answer:
11
Step-by-step explanation:
because line AD divided the triangle ABC into two equal halves
What is value of x if 20x-10*110=50
Answer:
57.5
Step-by-step explanation:
20x - (10 x 110) = 50
=> 20x - 1100 = 50
=> 20x = 1150
=> x = 1150/20
=> x = 115/2
=> x = 57.5
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Complete Question
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Answer:
[tex]P(\=x >96 )=0.01884[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=12[/tex]
Sample mean [tex]\=x =90[/tex]
Standard Deviation [tex]\sigma=10[/tex]
Generally
[tex]\sigma_x=\frac{\sigma}{\sqrt{10}}[/tex]
[tex]\sigma_x=\frac{10}{\sqrt{12}}[/tex]
[tex]\sigma_x=2.887[/tex]
Generally the equation for P(\=x >96 ) is mathematically given by
[tex]P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})[/tex]
[tex]P(\=x >96 )=P*(Z>\frac{90-96}{2.887})[/tex]
[tex]P(\=x >96 )=1-P(Z<2.08)[/tex]
[tex]P(\=x >96 )=1-0.98116[/tex]
[tex]P(\=x >96 )=0.01884[/tex]
