Answer:
x=12 Proportion should be 1 2/3
Step-by-step explanation:
To find PT, subtract 26 from 65= 39
26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3
30/(4x-3)=2/3 (Cross Multiply)
30*3=90
2(4x-3)=8x-6
8x-6=90 (Add 6 to both sides)
8x=96 (Divide 8 from both sides)
x=12
QT is equal to 4(12)-3=45
RT is 75
Proportion: 65/39=1 2/3
75/45=1 2/3
A researcher measures water drawn from 52 points a city's system in order to check the claim that the average lead content in the city's water is no more than 7 micrograms per deciliter. She finds an average of 5 micrograms per deciliter. Please match each of these terms:
a. Population
b. Sample
c. Parameter
d. Statistic
1. the 52 water draws
2. 7 micrograms per deciliter
3. 5 micrograms per deciliter
4. 7/52 lead measurements
Answer:
a. Population - 1. the 52 water draws
b. Sample - 4. 7/52 lead measurements
c. Parameter - 2. 7 micrograms per deciliter
d. Statistic - 3. 5 micrograms per deciliter
Step-by-step explanation:
If the value is from a population, it is a parameter.
Otherwise, if the value is from a sample, it is a statistic.
A population is an entire group of people, or of something, while a sample is a small number of observations from this group.
In this question:
The entire population is the measures drawn from the 52 points in the city's system.
In the entire system, the average is no more than 7 micrograms per deciliter. This is a value from the entire population, so this is a parameter.
To found the average of 5 micrograms, she took 7 of these measurements. So the 7 measurements are the sample and the average os 5 micrograms is a statistic.
So the correct matching is:
a. Population - 1. the 52 water draws
b. Sample - 4. 7/52 lead measurements
c. Parameter - 2. 7 micrograms per deciliter
d. Statistic - 3. 5 micrograms per deciliter
solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!
Hey there!
The answer to your question is [tex]-2 \frac{3}{11}[/tex]
[tex]-2(4x+4) - 3x -2= 34[/tex] Write the equation
[tex]-8x - 8 - 3x - 2 = 34[/tex] Distribute -2
[tex]-11x-10 = 34[/tex] Combine like terms
[tex]-11x = 24[/tex] Add 10 to both sides
[tex]-2 \frac{3}{11}[/tex] Divide both sides by -11
Hope it helps and have a great day!
Which is the correct answer? I already have something but not sure if correct
Answer:
83, not -83
Step-by-step explanation:
absolute value is ALWAYS POSITIVE!!! remember that!
what is 32% of 655????
Answer:
209.6
Step-by-step explanation:
Answer:
209.6
plz mark as brainliest
The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
what is a cubic polynomial function with zeros 3,3 and -3? show your work.
Answer:
Cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:
[tex](x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0[/tex]
So, cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]
An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
Please help at least one of them number it please!!!!
Answer:
Step-by-step explanation:
1. k - 5
2. 31g
3. b - 43
4. u - 36
5. 15r
6. 21/q
7. 7 + j or j + 7
8. 33/n
9. a + 23
10. 44m
11. c + 15
12. 10 -f
13. 39/e
14. k - 29
15. s - 38
16. v + 28
17. x - 11
18. y + 26
2100 principle earning 4% compounded each year annually after 4 years
Answer:
$2,456.70
Step-by-step explanation:
please help me asap!!!!
Answer:
[tex]\displaystyle 31[/tex]
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]
I am joyous to assist you at any time.
Which equations have the same value of x as 5/6x + 2/3 = -9? Select three options.
•6 (5/6x + 2/3) = -9
•6 (5/6x + 2/3) = 9(6)
•5x + 4 = -54
•5x + 4 = -9
•5x = -13
•5x = -58
ANSWER: B,C,F
Answer:
B, C, F C:
Step-by-step explanation:
(x - 3)2 + (y + 7)2 = 121 what's the center of the circle
Answer:
centre = (3, - 7 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 3)² + (y + 7)² = 121 ← is in standard form
with centre = (h, k ) = (3, - 7 )
Which is an equation of the line through the origin and (-4,-9)?
Note: Origin point = (0,0).
[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]
Slope-Intercept[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]
Rewrite the equation by substituting m = 9/4 in the equation.
[tex]y = \frac{9}{4} x + b[/tex]
Find the value of b.Because the graph passes through the origin point. That means the y-intercept is (0,0).
Therefore we rewrite the equation again to
[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]
Answer[tex] \large \boxed{y = \frac{9}{4} x}[/tex]
Round these numbers to the nearest tenths place (1 decimal place)
5) 41.35
Answer:
41.4 im pretty sure
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
We do not have enough information to use this theorem. We only have one side and two right angles marked. Hence, you have your answer.
I am joyous to assist you at any time.
A point is randomly chosen on the following. Find the probability that a point chosen at random will NOT be in the triangle.
(Round to the nearest hundredth)
Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?
Answer:
initial velocity = 15 m/s
final velicity = 0 m/s
time required = 10sec
Formula is V = U + at
0 = 15 + a 10
-15 ÷ 10 = acc
acc = - 1.5 m/s^2
plz give branlist
what is -X - 29 = 15 - 3x
Answer: x = 22
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x =22
Step-by-step explanation:
Jake’s rental car service uses the equation y = 0.45x + 39.50 to calculate the total cost, y, where x is the number of miles driven. Angie’s rental car service uses this table to calculate the cost of a car rental.
Answer:
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIST
Daniel runs 4/5 mile in 1/4 hour.
Enter the number of miles Daniel runs in 1 hour if he continues at the same rate.
Answer:
16/5 or 3 1/5 mile
Step-by-step explanation:
Because he is traveling at a same rate, 4/5*4= 16/5.
solve for c
c+d=15
3c+2d=36
Need help RIGHT NOW will mark brainliest
Multiply the top by -2 and just cross elimination the rest. Hope this helps.
what is the slope of the line through the points P(6,8) and Q(7,3)
Answer:
q
Step-by-step explanation:
In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.
a. What percentage of students is expected to pass the course?
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
Answer:
a. 66.8%
b. 0.855
Step-by-step explanation:
In a recent survey in a Statistics class,
Percentage of students that attended class on Friday = 60%
Percentage of students that did not attend class on Friday = 100 - 60% = 40%
Percentage of those who went to class on Fridays and passed the course = 98%
Percentage of those who did not go to class on Fridays and passed the course = 20%
a. What percentage of students is expected to pass the course?
This is calculated as:
= 60% × 98% + 40% × 20%
= 0.668
Converting to percentage
= 0.668 × 100
= 66.8%
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
We solve using Baye's Theorem
= [60 × 98%]/[60% × 98% + 40% × 20%]
= 0.588 /0.688
= 0.8546511628
Approximately = 0.855
Part(a): The required pass percentage is 66.8%
Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]
Given that,
P(Friday) = 0.60, P(No Friday) = 0.40
[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]
Part(a): The percentage of students expected to pass the course is 0.668.
[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]
Part(b):
The probability that he/she attended classes on Fridays is 0.8802
[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]
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Hey I'm not good at math! please help me!
simplify the expression -3÷(-2/5)
Answer:
7 1/2
Step-by-step explanation:
Because you have to keep, change, flip and it is positive because they both are negative
Can you mark me brainliest
I need help with this shi
If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE
Answer:
25
Step-by-step explanation:
a1 = 9
a2 = a1 + 4
a2 = 9 + 4
a2 = 13
a3 = a2 + 4
a3 = 13 + 4
a3 = 17
a4 = 21
a5 = 21 + 4
a5 = 25
This can more easily be done by using this formula
L = a1 + (n - 1) * d
a1 = 9
n = 5
d = 4
L = 9 + (5 -1)*4
L = 9 + 4*4
L = 9 + 16
L = 25
What is m<1 and m<3 someone help me please
Answer:
m < 1 = 52
m < 3 = 52
Step-by-step explanation:
m < 8 = 128 therefore m < 4 = 128
1.) we know that m < 4 + m < 1 must equal 180
128 + m < 1 = 180
180 - 128 = m < 1
52 = m < 1
due to the position of m < 1 and m < 3, they are the exact same
ANSWER QUICKLY
what are 2 things you are allowed to assume for proofs if the picture show for congruency
Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.
Step-by-step explanation:
What is the slope of the line through (2, 10) and (-2, 17)?