Solution :
First term, a₀ = -10 .
Common difference of A.P. , d = -8 - (-10) = 2 .
Last term, aₙ = 24 .
We know, last term is given by :
aₙ = a₀ + (n-1)d
24 = -10 + (n-1)×2
2n - 2 = 34
n = 18
Now, sum of series is given by :
[tex]S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n = 126[/tex]
Hence, this is the required solution.
Find mMLK. 272 °. please and thank you!!
Answer:acute angle less than ninety so around fourth five
Step-by-step explanation:
Mr. and Mrs. Steele, deposited $8,000 to open a college savings account for their granddaughter on the day she was born. The account pays 5% simple interest annually. If they made no other deposits or withdrawals since then, how much money would be in the account after 18 years?
Answer:
see my explantion!!
Step-by-step explanation:
8000*0.05=400
400*18=7200$
It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?
Answer:
8.07 inches
Step-by-step explanation:
7.29+0.78=8.07
During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.
let be the real price x :
x - x × ( 25/100 ) = 1350
x - x × ( 1/4 ) = 1350
x - x/4 = 1350
4x - x / 4 = 1350
3x / 4 = 1350
3x = 1350 × 4
3x = 5400
x = 5400 ÷ 3
x = Rs 1800
find the measure of the angle with the ?. no links
Answer:
D) 146
Step-by-step explanation:
Exterior angle thm:
42 + 104 = x
x = 146
What is the ratio for cos B
Answer:
cos B = 8/17
Step-by-step explanation:
The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.
Question 17 *
There are 24 girls in a class. The ratio of girls to boys is 3 : 8.
How many boys are in the class?
Shayla's ndeshare fare from the airport was $28.50, and she added a 15% tip. How much did Shayla pay in total?
Answer: 15 percent of 28.50 is 4.275
So 28.50 + 4.275 = 32.775
So $32.77
Answer:
32.78 100% correct did usa test prep
Step-by-step explanation:
What is the measure of angle R?
110°
140°
125°
70°
Solve for x helpppp pleaseee
Answer:
10
Step-by-step explanation:
360=95+95+15+7x+15+7x
360-95-95-15-15=7x+7x
140=14x
140/14=x
10=x
PLEASE HELP ME ACE THIS
angle a = ___ degrees
Angle B = ADC arc / 2
32 = ADC arc / 2
ADC arc = 2 × 32
ADC arc = 64
_________________________________
ADC arc + ABC arc = 360
64 + ABC arc = 360
ABC arc = 360 - 60 - 4
ABC arc = 300 - 4
ABC arc = 296
_________________________________
Angle D = ABC arc / 2
x = 296 / 2
x = 148
_________________________________
Angle A = x - 40
Angle A = 148 - 40
Angle A = 108 degrees
I NEED HELP PLEASE PLEASE IN ALGEBRA!
Answer:
what is question?
Step-by-step explanation:
What are the dimensions of the tabletop with the
leaves open? Round to the nearest tenth of a foot. Someone please answer I need this for extra credit :))
Answer:
Dimensions of the tabletop is 2.8 cm × 2.8 cm.
Step-by-step explanation:
From the picture attached,
ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.
Dimensions of the tabletop ABCD,
Length = AB
Width = BC
Coordinates of A → (1, 3)
Coordinates of B → (3, 5)
Coordinates of C → (5, 3)
Coordinates of D → (3, 1)
Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
≈ 2.8 units
BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]2\sqrt{2}[/tex]
= 2.8 units
Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
Its D because the x axis can repeat itself
Step-by-step explanation:
A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.
Answer:
D, the last one
Step-by-step explanation:
A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.
I NEED HELP PLS i don’t understand exactly how to do this :/
Answer:
I assume AC = 49.89 since the number is cut off
Step-by-step explanation:
tangent(degree) = opposite / adjacent
To find AC, you can set up tan(29) = AC / CB
tan(29) = AC / 90 (the picture is cutted off, so I assume....)
[tex]90*tan(29)[/tex] = AC
Guys l forgot how to do this l knew how to buy can someone please remind me what to do asap pleasee
PLS HELP ASAP DUE TMR TY
Answer:
a=8/2
a=4
Step-by-step explanation:
Answer:
[tex]a = 4[/tex]
Step-by-step explanation:
[tex](2a) = 8[/tex]
[tex]a = \frac{8}{2} [/tex]
[tex]a = 4[/tex]
Hope it is helpful.....the function f(x) is graphed below. if f(n)=0 what is the value of n?
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
Simplify each expression
Answer:
a) 2x + 6y + 7x
9x + 6y
b) 3a + 8b + 5a
8a + 8b
c) 6u + 3v - 2u
4u + 3v
d) 9p + 8q - p
8p + 8q
e) 2m + 5n + 4m + 3n
6m + 5n + 3n
6m + 8n
f) 6u + 9v + u + 3v
12v + 6u + u
12v + 7u
g) 8b + 7c + 3b - 2c
8b + 3b + 5c
11b + 5c
h) a + 2b + a - b
2a + 2b - b
2a + b
i) 5a + 2b - 5a + 6b
8b + 5a - 5a
8a
h) 9p + 3q - 2p - 3q
7p + 3q - 3q
7p
Police use breath analyzer to detect the level of alcohol in drivers. Which property of alcohol is used in breath analyzers? A. reducing properly B. oxidising property C. denaturing property D. dehydrating property
Answer:
not good destroy body mind effect
HELP WILL GIVE BRAINLY PLZ DONT SKIP
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly
chosen student took Form B and did not pass? Show ur work/explain in words what you did
A. 0.055
B 0.195
C. 0.305
D. 0.390
Answer:
C. 0.305
Step-by-step explanation:
100 - 39 = 61
.5 x .61 = .305
30.5%
HELP PLEASE I NEED HELP
[tex]C. \: 8 \sqrt{3} [/tex]✅
Step-by-step explanation:
[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.
The mean of the test that has a normal distribution is 55.
What is the mean of the test?Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:
49 = μ - 3σ equation (1)
59 = μ + 2σ equation (2)
To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:
49 + 59 = μ - 3σ + μ + 2σ
Simplifying, we get:
108 = 2μ - σ
We can also solve for σ by subtracting equation (1) from equation (2) to get:
59 - 49 = μ + 2σ - (μ - 3σ)
Simplifying, we get:
10 = 5σ
Therefore, σ = 2.
Substituting this value of σ into the equation we found earlier, we get:
108 = 2μ - σ
108 = 2μ - 2
Solving for μ, we get:
2μ = 108 + 2
2μ = 110
μ = 110/2
μ = 55
Therefore, the mean of the test is 55.
Learn more about normal distribution here: https://brainly.com/question/29509087
#SPJ1
A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed on the line that tests the weight of the filled boxes and rejects any product outside the correct package weight. Historically, 90% of the product manufactured on this line is within the correct weight range. The sensor rejects boxes of incorrect weight 98% of the time. The sensor rejects boxes of correct weight 1% of the time. What is the probability that a correct weight box of cereal will get rejected by the sensor
Answer:
0.2%
Step-by-step explanation:
The given parameters are;
The percentage of product within the correct range = 95%
The percentage of the times the sensor reject boxes of incorrect weight = 98%
The percentage of the times the company reject boxes with correct weight = 1%
[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]
We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2
FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01
FPR = 0.2/(0.2 + 9.8) = 0.02
TPR = 89.1/(89.1 + 0.9) = 0.99
TNR = 9.8/(9.8 + 0.2) = 0.98
P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))
Where;
P(C/A) = The probability that a correct weight package is accepted
∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776
The probability that a correctly weighed package is rejected, P(C/R), is given as follows;
P(C/R) = 1 - P(C/A)
∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%
The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%
Answer:0.9%
Step-by-step explanation:
good luck!!!
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
805
Step-by-step explanation:
Three friends take a road trip to Florida. They drive a total of 1,042 miles. Doug drives 400, Ben drives 342, and Chris drives 300. What percent did each one drive on the trip?
A. Doug 40.4%, Ben 33%, Chris 26.6%
B. Doug 38.4%, Ben 20.8%, Chris 40.8%
C. Doug 38.4%, Ben 32.8%, Chris 28.8%
D. Doug 41.1%, Ben 40.2%, Chris 18.7%
Answer:
C
Step-by-step explanation:
Doug: 400/1042 = .3838 = 38.4%
Ben: 342/1042 = .3282 = 32.8%
Chris: 300/1042 = .2879 = 28.8%
Answer:
Doug 38.4%, Ben 32.8%, Chris 28.8%
hi help pls doing all my late work last minute so i don’t fail
Given:
The compound inequality is:
[tex]-1>n\geq 5[/tex]
To find:
The reason for no solution of the given inequality.
Solution:
We have,
[tex]-1>n\geq 5[/tex]
This inequality can be written as two separate inequalities.
[tex]-1>n[/tex] and [tex]n\geq 5[/tex]
The inequality [tex]-1>n[/tex] represents all real values less than -1.
The inequality [tex]n\geq 5[/tex] represents all real values greater than or equal to 5.
Both inequalities [tex]-1>n[/tex] and [tex]n\geq 5[/tex] have no common values. Therefore, the given inequality has no solution. Hence proved.
Answer this and I will brainliest
A fraction Equivalent 4/6 and has the denominator 3
Answer:
7
Step-by-step explanation:
Answer:
the answer is 2/3
hope this helps
have a good day :)
Step-by-step explanation:
Thank for doing l love u
good job guys ik math is hard sometimes