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Marina86 [1]
2 years ago
12

What is the sum of the arithmetic series: s10 = -20, d = 4, a1 =? ​

Mathematics
2 answers:
Otrada [13]2 years ago
8 0
<h2>Step-by-step explanation:</h2><h3>\green\star Given</h3>

\blue\stars10 = -20

\blue\starn = 10

\blue\star an = -20

\green\star solution

\green\stars10 = n\2 [a+(n-1)d]

\green\star-20 = 10a2[a+(10-1)4]

\green\star-4 = a +36

\green\stara1 = -40

\small\boxed{a = -40}

Hope it helps.

Hope it helps

KengaRu [80]2 years ago
4 0

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

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Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10
Alborosie

Answer:

<em>The probability is 42%</em>

Step-by-step explanation:

<u>Conditional Probability</u>

It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).

If P(A) is the probability of occurrence of A, P(A\cap B) is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.

The probability that a randomly selected band member plays the trumpet is

\displaystyle P(A)=\frac{24}{125}

The probability that he or she has both attributes is

\displaystyle P(A\cap B)=\frac{10}{125}

Thus, the required conditional probability is

\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}

\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42

The probability is 42%

5 0
2 years ago
Benito wrote the equations shown about the figure. Explain Benito’s errors.
Minchanka [31]

Answer:

  • Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

7 0
2 years ago
A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375&#10; or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
2 years ago
Read 2 more answers
Willie and his brothers went to TGI Mondays. Their order consisted of 3 cheeseburgers at $8.75 each, a fish sandwich for $6.75,
Sladkaya [172]

<u>Answer:</u>$68.69

<u>Step-by-step explanation:</u>

Calculation of bill value

Cheeseburgers  =    26.25

(8.75 x 3)

Fish Sandwich    =     6.75

Pizza                    =    14.99

Sweet Tea

(4 x 2.09)              =    8.36

Total of items        =  56.35

Sales tax on food  =   3.381

(56.35 x 6%)          

Total bill value       = 59.731

Calculation of tips

Bill value x 15%

=59.731 x 15%

Tips paid=8.95965

Calculation of meals cost

Total meal cost = Bill value + tips

=59.731+8.95965

=$68.69

Total meal cost is $68.69

7 0
1 year ago
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her fri
Andru [333]

Answer:

Step-by-step explanation:

Total amount of apples that Nicole bought was 6 pounds.

Each pound of apple cost $1.50

This means that the total cost of the 6 pounds of apple that Nicole bought would be

6 × 1.5 = $9

The store had a discount of $2 off her total purchase. This means that the amount that was paid is

9 - 2 = $7

If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be

x = 7/2

6 0
1 year ago
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