Answer:
[tex] \therefore x =2[/tex]
Step-by-step explanation:
[tex] \triangle TPR \sim \triangle SQR... (given) [/tex]
[tex] \therefore \frac{TP}{SQ} = \frac{PR}{QR}[/tex]
[tex] \therefore \frac{TP}{SQ} = \frac{PQ+QR}{QR}[/tex]
[tex] \therefore \frac{3}{x} = \frac{1\frac{1}{3} +2 \frac{2}{3}}{2 \frac{2}{3}}[/tex]
[tex] \therefore \frac{3}{x} = \frac{\frac{4}{3} + \frac{8}{3}}{\frac{8}{3}}[/tex]
[tex] \therefore \frac{3}{x} = \frac{\frac{12}{3}}{\frac{8}{3}}[/tex]
[tex] \therefore \frac{3}{x} = \frac{12}{8}[/tex]
[tex] \therefore x = \frac{8\times 3}{12}[/tex]
[tex] \therefore x = \frac{24}{12}[/tex]
[tex] \therefore x =2[/tex]
86 49 63 90 82 98 36
What is the variance of the data set?
Answer:
→ Mean of given data = xi = (86 + 49 + 63 + 90 + 82 + 98 + 36) / 7 = 504 / 7 = 72 .
→ variance of the set of data = 525
Step-by-step explanation:
Hope it is helpful....
Answer:
525
Step-by-step explanation:
(86 + 49 + 63 + 90 + 82 + 98 + 36) / 7 = 504 / 7 = 72 . → variance of the set of data = 525
Find the volume of the irregular figure. 2 cm 3 cm 4 cm [?] cm3 5 cm 7 cm 3 cm 6 cm
No links for answers
Answer:
102cm³
Step-by-step explanation:
Imagine the shape as two rectangular prisms, a small one on top of a bigger one. Find their volumes individually, and then add them together:
Small rectangular prism
Volume=length*width*depth
=2*3*(7-5)
=6*2
=12cm³
Bigger rectangular prism
Volume=length*width*depth
=6*3*5
=6*15
=90cm³
12+90=102cm³
What are some tips for the SAT math section?
Answer:
You should study hard and look through the test first to answer the ones you do know and then go back to the ones you don't know. Also if you use any methods or anything related to help with math try to use those through. Therefore try your best and just prepare for it, and always have supplies.
5/8 plus 1/16 simplified
Helpppp pleaseeee I need help
Answer:
The answer is D because it is closer to zero so it is greater in value. For example if the number is further away from zero (and is negative) the value is less but if it’s closer it is greater and in positive numbers the rules are opposite
Step-by-step explanation:
Write the decimal in simplest fractional form: -1.375
Find the equation to the graph below
Answer:
a
Step-by-step explanation:
the formula of the equation is y=mx+n; and if m=1/2 and n=-1 then it's y=1/2x-1
There are 120 cars in a grocery store parking lot. The probability that a car selected at random is white is 1/8. How many of the cars in the parking lot are white?
A. 8
B. 15
C. 30
D. 105
Answer:
B
Step-by-step explanation:
Theoretically it is 120/8=15
Find 22% of 48
Help please- i need this answer i’m stuck on it
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y=x+2
Step-by-step explanation:
PLEASE HELP! I REALLY NEED HELP!!!
Answer:
on which one?
The consumption of asparagus results in the release of methanethiol and S-methyl thioesters metabolites in the urine. To some people, these metabolites have a very distinctive odor, but others cannot detect the odor ("asparagus anosmia"). How common is asparagus anosmia?
In a genetic study aiming to find the genetic markers supporting the phenotype, researchers contacted 6909 participants in a large scientific cohort and found that 4161 had asparagus anosmia. Assuming that the cohort is representative of the American adult population, obtain a 90% confidence interval for the true population of Americans with asparagus anosmia. Use technology, for instance, the 1-PropZInt function in the TI graphing calculator or the Statistics / Proportion / 1-sample function (Confidence Interval tab) on CrunchIt!.
Answer:
The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Researchers contacted 6909 participants in a large scientific cohort and found that 4161 had asparagus anosmia.
This means that [tex]n = 6909, \pi = \frac{4161}{6909} = 0.6023[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 - 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.5926[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 + 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.6120[/tex]
The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).
Find the x and y for numbers 2 and. 3 thank you
Answer:
(0, 4 ) and (2, - 4 )
Step-by-step explanation:
(2)
3x + 4y = 16 → (1)
- 3x + 2y = 8 → (2)
Adding (1) and (2) term by term will eliminate the x- term
0 + 6y = 24
6y = 24 ( divide both sides by 6 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(4) = 16
3x + 16 = 16 ( subtract 16 from both sides )
3x = 0 , then
x = 0
solution is (0, 4 )
(3)
2x - 4y = 20 → (1)
5x + 4y = - 6 → (2)
Adding (1) and (2) term by term will eliminate the y- term
7x + 0 = 14
7x = 14 ( divide both sides by 7 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
5(2) + 4y = - 6
10 + 4y = - 6 ( subtract 10 from both sides )
4y = - 16 ( divide both sides by 4 )
y = - 4
solution is (2, - 4 )
Enrique collects miniature cars. He has one large case that holds 20 cars and 3 same-size, smaller cases to hold his cars.
Let n be the number of cars in each smaller case. Write an algebraic expression to represent how many total cars Enrique can fit in his cases.
Answer:
C = 3n + 20Step-by-step explanation:
There is one large case with 20 cars and 3 small cases with n cars in each.
Possible number of cars C is:
C = 3n + 20The dimensions of a right rectangular prism are 3/2 ft, 1/2 ft, and 2ft. What is the volume of this prism ?
Answer:
v=1.5
Step-by-step explanation:
1.5*0.5*2=1.5
can i have brainliest
Volume of rectangular prism is 1.5 ft³
Given that;
Given prism is a right rectangular prism
Dimension are 3/2 ft, 1/2 ft, and 2ft
Find:
Volume of prism
Computation:
Volume of a rectangular prism = Length × Width × Height
Volume of rectangular prism = [3/2] × [1/2] × 2
Volume of rectangular prism = 6 / 4
Volume of rectangular prism = 1.5 ft³
Learn more;
https://brainly.com/question/12649592?referrer=searchResults
Bethany is a biologist who has been measuring and recording the rabbit population at a park over the last several years. She has noticed that a trigonometric function can model the population, which reaches a maximum population, m, each summer and a minimum population, n, each winter. If she uses to represent the rabbit population t years from the start of her study, what is the domain of function p?
Answer:
[0,∞)
Step-by-step explanation:
Answer:
[0,∞)
Step-by-step explanation:
Correct on Plato!
which expression is equivalent to the given expression (3m^2n)^3/mn^4
Answer:
Step-by-step explanation:
[tex]\frac{(3m^2n)^3}{mn^4}\\ \\ \frac{27m^6n^3}{mn^4}\\ \\ \frac{27m^5}{n}\\ \\ \text{ or if you want to use negative exponents}\\ \\ 27m^5n^{-1}[/tex]
Given that a = 2.4 cm, and b = 9.6 cm, work out x
Answer:
where am i supposed to find the x if you haven't given the equation for the sum
Step-by-step explanation:
What is the difference between the number of the students who prefer history to English?
Favorite Class
50
40
Number of Students
20
10
Math English Science History
Class
Pick one of these
55
35
45
10
Please help me
Will give you brainly
Answer:
They are 45 history students and 10 English students the difference is 35 students
35
The average price for a gallon of gasoline in Germany is $5.57 and in France it is $5.54. Assume these averages are population averages in two countries, and that the probability distributions are normally distributed with the standard deviation of $.35 in Germany and standard deviation of $.25 in France. What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
Answer:
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average price for a gallon of gasoline in France is $5.54. The standard deviation is $.25.
This means that [tex]\mu = 5.54, \sigma = 0.25[/tex]
What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
This is 1 subtracted by the pvalue of Z when X = 5.30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.3 - 5.54}{0.25}[/tex]
[tex]Z = -0.96[/tex]
[tex]Z = -0.96[/tex] has a pvalue of 0.1685
1 - 0.1685 = 0.8315
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
Help mmmmmmmmmmemmmemeeeee
Answer:
P-E-M-D-A-S
Step-by-step explanation:
Ok, so start with what i call "P-E-M-D-A-S"
P: parentheses | Also known as these: ( )
E: exponents | Its a small number by another number, like the 3 on your screen
M: Multiply | Also Known as x or a dot
D: Divide | i forgot how to make it
A: Add | also known as +
S: Subtract | also known as -
now go in order to solve it, it makes it much more easy!
Answer:
49 is your answer
Step-by-step explanation:
let's do b-pemdas
brackets
parentheses
e(I forgot the name for it but it's basically a small number next to the big number)
Multiply
Divide
Add
Subtract
you do the equation in that order
so
2+8•7-(3^2)
we focus on (3^2)
that's 3•3 which equals to 9
so now the equation is
2+8•7-9
Now we focus on 8•7 which equals to 56
the equation now looks like
2+56-9
you then add 56 to 2 which equals to 58 and then subtract 9 from it so it should look like this
2+56=58
58-9= 49
and 49 is your answer
hope this help!!!
if you would give me brainliest that would help a lot!!
8,24,72,216 what is the next term
Answer:
648
Step-by-step explanation:
216x3
Wwwwwwwwwwwwwwwwwwwww
Answer: 648
Step-by-step explanation:
HOPE THIS IS RIGHT
The perimeter of a rectangle is 62cm.if the length of the rectangle is 24cm,what is tge width of the rectangle
Answer:
b= 7
Step-by-step explanation:
here's your solution
=> perimeter of rectangle = 62 cm
=> length = 24 cm
=> let width be (b)
=> perimeter of rectangle = 2(l + b)
=> 2(l + b ) = 62
=> 2(24 + b) = 62
=> 48 +2b = 62
=> 2b = 62 - 48
=> 2b = 14
=> b = 14/2
=> b = 7
hope it helps
Infinity cost $100,000. The sale is 60% off, then additional 40% off. How much would it cost after all sales applied?
[tex] \bold{hola} [/tex]
me podrían ayudar en resolver esta ecuación
[tex]7x - 5 = 4 x + 7[/tex]
Answer:
yo habloo español y gracias por los puntos
AB =
Round your answer to the nearest hundredth.
A
50°
B
2
с
Answer:
50.04
Step-by-step explanation:
Answer: 3.11
Step-by-step explanation:
khan academy hint.
what is the discounted price of a $15.50 with a 20% discount
Answer:
$12.40
Step-by-step explanation:
100% -20% discount = 80%
15.50 x 0.80 = 12.40
(−1)^3⋅(−1)^2
simplify
What’s the slop of the line in simplest form.
Answer:
y=1/2x +4
rise over run 1/2
y intercept is 4
An automobile dealer can sell 12 cars per day at a price of $17,000. He estimates that for each $300 price reduction he can
sell two more cars per day. If each car costs him $14,000, and fixed costs are $1000, what price should he charge to
maximize his profit? [Hint: Let x = the number of $300 price reductions.]
How many cars will he sell at this price?
Answer:
$ 1100
Step-by-step explanation:
Let p(x) be the price he charges for a car after x price reductions.
Since car costs him $10,000, and fixed costs are $1000
p(x) = 13000-10000-1000-300x = 2000 - 300x
Let q(x) = 12 + 2x the quantity of cars sold after x price reductions.
and the profit he can make are given by:
Profit = R(x) = (12+2x)(13,000 - 10,000 - 1,000 - 300x) dollars.
As you can see, maximizing profit , we have to check where P'(x) = 0
And P''(x)<0.
So we get x = 3.
Replacing the value we get we get 2000 - 300 X 3 = 2000 - 900
= $ 1100
]