Answer:
50
Step-by-step explanation:
Given right triangle ABC with altitude BD drawn to hypotenuse AC
Given:
In right triangle ABC, BD is the altitude drawn to hypotenuse AC.
[tex]AD=20, DC=45[/tex]
To find:
The length of BD.
Solution:
According to geometric mean theorem of triangles, if an altitude is drawn to the hypotenuse of a triangle, then the altitude is the geometric mean of the segments of the hypotenuse.
Using geometric mean theorem of triangles, we get
[tex]BD^2=AD\times DC[/tex]
[tex]x^2=20\times 45[/tex]
[tex]x^2=900[/tex]
Taking square root on both sides, we get
[tex]x=\dfrac{900}[/tex]
[tex]x=30[/tex]
Therefore, the length of BD is 30 units and the correct option is C.
A bacteria culture is growing at a rate of
r(t) = 7e^0.6t
thousand bacteria per hour after t hours. How much did the bacteria population increase during the first two hours? (Round your answer to three decimal places.)
Answer:
[tex]{ \bf{r(t) = 7e {}^{0.6t} }} \\ { \tt{r(2) = 7 {e}^{0.6 \times 2} }} \\ = { \tt{7 {e}^{1.2} }} \\ = 23.241 \: thiusand bacteria \: per \: hour[/tex]
Butch will miss an important TV program while taking his statistics exam, so he sets
both his VCRs to record it. The first one records 70% of the time, and the second one
records 60% of the time. What is the probability that he gets home after the exam and
finds? (We assume that events A and B are independent, so with P(A)=0.7 and
P(B) = 0.6 respectively.)
(a) No copies of his program?
(b) One copy of his program?
Answer:
b
Step-by-step explanation:
this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will
Question 4 of 5
How many solutions does 8 + 6
=
– 4 + have?
A. Two solutions
B. One solution
C. No solutions
D. Infinitely many solutions
SUBMIT
There are 13 apples in a basket. 4 of these apples are green. The rest are red. what is the ratio?
Answer:
9:4 4:13
Step-by-step explanation:
Answer:
a) 9:4 b) 13 : 9
Step-by-step explanation:
13 = total
4 = green
13-4 ( which Is 9) = red
Ratio of red apples to green apples?
9:4
RATIO of all apples to red
13: 9
what is the product of -3y²(-4y³+y-9)
Answer:
-3y²(-4y³+y-9)
-9y(-63y-9)
567y-81y
4 8 6 y
increase 6800 by 12%
Answer:
Step-by-step explanation:
6,800, percentage increased by 12% (percent) of its value = 7,616
20, percentage increased by 1,000% (percent) of its value = 220
1,000,000, percentage increased by 0.49% (percent) of its value = 1,004,900
Answer:
7616
hope it helps
mark brainliest please
What base makes the equation below true?
Note: A number should be entered, not a word.
Answer:
4
Step-by-step explanation:
in base 4
21 = (2 * 4) + (1 * 1) = 9
HELP ME PLSSSS!!!
f(x) = x2 What is g(x)?
A. g(x) = 2x²
B. g(x)=1/2x2
C. g(x)=(1/2x)2
D. g(x)=1/4x2
Answer:
B. g(x)=1/2x2
Step-by-step explanation:
Function f(x):
[tex]f(x) = x^2[/tex]
At [tex]x = 2, y = f(2) = 2^2 = 4[/tex]
Function g:
Function g is a division of function f by a value. When [tex]x = 2, y = 2[/tex], that is, the value of f is divided by two, and thus, the correct answer is given by option b.
PLEASE HELP ME ASAP!
Answer:
A
Step-by-step explanation:
Ricky is playing a racing game on PS5.
• He earns 20 points every 1 level he passes.
• He earns 24 points for every 15 laps.
• He drove 45 laps and passed 6 levels.
How many points did Ricky earn?
Answer:
192 points
Step-by-step explanation:
he earned 120 points for passing 6 levels and getting 20 points per level
he earned 72 points for racing 45 laps and getting 24 points per every 15 laps
|x+2|+4=11
A) x=5,-9
Answer:
the mod always gives positive answers
so the answer will be
Step-by-step explanation:
x+2+4=11
x+6=11
x=11-6
x=5
answer is x is 5
Answer:
x=5,9
Step-by-step explanation:
|x+2|+4=11
|x+2| = 7
next you get two answers by adding two or subtracting two. SO the right answer should be 5 and 9. A is wrong . I DONT SEE THE OTHER ANSWER CHOICES BUT THIS IS WHAT I GOT.
Match each inequality to the number line that represents its solution
Answer:
x - 51 [tex]\leq[/tex] 43
x - 99 [tex]\leq[/tex] -104
75 < 69 - x
150 + x ≤ 144
Step-by-step explanation:
Prove formally. Step by step with statements and reasons.
Answer:
K
K -> H
H
B -> ~H
H not B (sorry I couldn't type out the symbol)
~B
Step-by-step explanation:
Verbally, what's happening is this:
We have an assertion of K. Since K -> H (K implicates H), and B -> ~H (B implicates a negation of H), a negation of B (~B) is proven. (In this entire process, nothing is given about the symbols except K is true, hence the assertion, which then implicates that H is true and that B is negated since B implicates that negated H is true when in fact it is the opposite.)
Formally, the answer would be the following:
K
K -> H
H
B -> ~H
H not B (sorry I couldn't type out the symbol)
~B
Hope this helped!
5. In ALMN if mL = 48° and mZN = 24", then
O ALMN is an obtuse isosceles triangle
O ALMN is an acute scalene triangle
O ALMN is an obtuse scalene triangle
O ALMN is an acute right triangle
None of the above
9514 1404 393
Answer:
(c) ΔLMN is an obtuse scalene triangle
Step-by-step explanation:
The two given angles are different measures and total less than 90°. That means the third angle will be more than 90°, an obtuse angle. Since all of the angles are different, the triangle is scalene.
ΔLMN is an obtuse scalene triangle
3x + 1 over 4y2
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.
Answer:
5/32
Step-by-step explanation:
(3x+1)/4y^2
(3(3)+1)/[4(4)^2]
(3*3+1)/[4(4)(4)]
(9+1)/[4*16]
10/64
simplify
5/32
The value of the expression at x = 3 and y = 4 is [tex]\frac{5}{32}[/tex] .
Concept:Firstly we will convert the expression into numerical form.Then, we will substitute the value of x & y respectively in the expression and simplify it.How to solve the given question?Converting the expression into numerical form.Thus, the value of the expression at x = 3 and y = 4 is [tex]\frac{5}{32}[/tex] .
Learn more about expressions here:
https://brainly.com/question/723406
#SPJ2
A delivery truck manager takes a sample of 25 delivery trucks and calculates the sample mean and sample standard deviation for the cost of operation. A 95% confidence interval for the population mean cost is constructed and found to be $253 to $320. He reasons that this interval contains the mean operating cost for the entire fleet of delivery trucks since the sample mean is contained in this interval.
Required:
a. Do you agree with his reasoning?
b. How would you interpret this confidence interval?
c. Is this an appropriate use of a confidence interval?
d. Concerning your answers to parts a through c, what assumptions did you make (if any)? Does the Central Limit Theorem apply? Why or why not?
e. How does this apply or could apply to your profession?
Answer:
a) No.
b) Lies between 253 and 320.
c) No.
d) Central limit theorem is not applicable here.
e) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision
Step-by-step explanation:
1) No I do not agree, it's just because the mean should be always within the confidence interval. in this case, the above statement doesn't satisfy the condition.
2)The true mean values at 95% confidence interval lies between 253 and 320.
3) No, because this is only used for the difference in mean. If there is a difference then the mean is different.
4) Central limit theorem is not applicable here. Since the sample size is very small, it better to use t distribution rather which indicated normal data.
in case the sample size is greater than 30, we can then apply the central limit theorem.
5) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision.
A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean, µ for the probability distribution.
x P(x)
-500 0.076
-250 0.191
0 0.265
250 0.316
500 0.152
Answer:
The mean is [tex]\mu = 69.25[/tex]
Step-by-step explanation:
We are given the following distribution:
P(x = -500) = 0.076
P(x = -250) = 0.191
P(x = 0) = 0.265
P(x = 250) = 0.316
P(x = 500) = 0.152
Find the mean, µ for the probability distribution.
To find the mean, we multiply each outcome by its probability. So
[tex]\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25[/tex]
The mean is [tex]\mu = 69.25[/tex]
help please step by step
Answer:
1. 33km
2. 1.2ft
3. 16in
4. 20.1ft
5. 7.2yd
6. 38mi
Step-by-step explanation:
1. 10+11+12=33km
2. 1/2(1.8+0.6)1=1.2ft
3. 5+5+3+3=16in
4. 4.1+2.7+5.4+7.9=20.1ft
5. 1.8+1.8+1.8+1.8=7.2yd
6. 12+7+12+7=38mi
Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006,
approximately what was the tctal employment in 2006?
a. 214,000
b. 187,000
C. 195,000
d. 189,000
Answer:
D 189,000
Step-by-step explanation:
Find the area of this regular polygon. Round to the nearest tenth. 8.8 ft
Answer:
I don't really know but I'm pretty sure u can fix it and answer this question
Graph the set on a number line. {-1/2, -1 3/4}
Answer:
D
Step-by-step explanation:
Each dot is 1/4 and we are going from 0 to -2
Describe, in your own words, what "convenience sampling" is. 1 point
Answer:
It is a type of non-probability sampling that involves the sample being drawn from that part of the population that is close at hand
HW HELP ASAP PLZZZZZ
Answer:
3
Step-by-step explanation:
I think its 3 because when we add 2 to x the graphic must be continue two step to right
please help me and explain
Answer:
y = 2x + 1
Step-by-step explanation:
the line passes (0, 1) and (2, 5)
the slope = (5-1)/(2-0) = 4/2 = 2
the equation :
y - 1 = 2( x -0)
y-1 = 2x
=> y = 2x + 1
Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.
A 4-column table with 3 rows. The first column has no label with entries likes mountain bikes, does not like mountain bikes, total. The second column is labeled liking touring bikes with entries a, c, 70. The third column is labeled does not like touring bikes with entries b, 5, e. The fourth column is labeled total with entries 47, d, 80.
What are the correct values of a, b, c, d, and e?
a = 42, b = 28, c = 33, d = 5, e = 10
a = 42, b = 5, c = 28, d = 33, e = 10
a = 5, b = 42, c = 28, d = 10, e = 33
a = 5, b = 10, c = 28, d = 33, e = 42
Answer: Choice B
a = 42, b = 5, c = 28, d = 33, e = 10
====================================================
Explanation:
Refer to the diagram below. We have a table of values in which some values (if not most) are unknown. We have variables as placeholders until we can figure out which numbers replace them.
Along the bottom row, we see that 70+e = 80, which solves to e = 10. I subtracted 70 from both sides.
That must mean the answer is between choice A or choice B.
--------------------------
Since e = 10, and b+5 = e (third column), we can replace the 'e' with 10 to get the equation b+5 = 10. That solves to b = 5. This rules out choice A.
The final answer is choice B
---------------------------
If you want to keep going to find a, c and d, then let's solve a+b = 47 which is the same as a+5 = 47 after replacing letter b with 5.
a+5 = 47 solves to a = 42 after subtracting both sides by 5.
Then along the first column, we see that a+c = 70 which is the same as 42+c = 70. Isolating c gets us c = 28
Lastly, c+5 = d is shown along the second row. Plug in c = 28 to find that d = c+5 = 28+5 = 33
So overall we have:
a = 42, b = 5, c = 28, d = 33, e = 10
Answer:
b is correct
Step-by-step explanation:
Instructions: Find the area of the sector. Round your answer to the nearest tenth.
I’ll mark brainliest please help
Answer:
75.7m^2
Step-by-step explanation:
[tex] \frac{30}{360} \times \pi {r}^{2} \\ \frac{30}{360} \times \frac{22}{7} \times {17}^{2} \\ \frac{1}{12} \times \frac{22}{7} \times 289 \\ 75.6904761905 = 75.7[/tex]
please help me i will give brainlist to the correct answer
Answer:
<ABC = 27
< BAC = 126
Step-by-step explanation:
<C = <B since it is an isosceles triangle. We know this since AC - AB
<C = 27 so <ABC = 27
The sum of the angles of a triangle = 180
A + B+ C = 180
A + 27+27 = 180
A + 54 =180
A = 180-54
A =126
< BAC = 126
số 37 không có ước nào là số nguyên tố
nhận xét trên đúng hay sai ?
Chào Đứa bé!!
Được thôi, nếu vậy câu trả lời cho của bạn câu hỏi là có/thật
I hope it helps u!!
Just comment if u have any questions :-)
In isosceles △HAM, m∡A =32°, . What is m∠H?
Answer:
This all I can do
Step-by-step explanation:
m∠F. 20 In the diagram below, LATE is an isosceles ... 32 In the diagram of JEA below, m∠JEA = 90 and m∠EAJ = 48. ... cylinder that has a height of 15 cm and a diameter of 12 cm? ... If m∠HAM = 12, what is m∠AMT ? 1) 12. 2) 78. 3) 84.