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qwelly [4]
3 years ago
12

Find the sum of the first 25 terms of the arithmetic sequence.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{n}{2}*(a+l)=\frac{25}{2}*(100+220)\\\\=\frac{25}{2}*320=\frac{25*320}{2}\\\\=25*160=4000

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Let a line l be given in the coordinate plane. What linear equation is the graph of line l?
LUCKY_DIMON [66]

Answer:

y=2/7x+2.5

Step-by-step explanation:

3 0
2 years ago
In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system
In-s [12.5K]

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 =  0.9 ;       H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for  α= 0.05

We use the test statistic

z=  x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38  is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

7 0
3 years ago
Alan drew a polygon with four sides and four angles. All four sides are equal.None of the angles are right angles.What figure di
lora16 [44]
Alan drew a rhombus, all four side are equal but none of the angles are right.

7 0
3 years ago
Determine the 8th term in the geometric sequence whose first term is -10 and whose common ratio is 2
enyata [817]
\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-10\\
r=2\\
n=8
\end{cases}
\\\\\\
a_8=-10\cdot 2^{8-1}\implies a_8=-10\cdot 2^7
\\\\\\
a_8=-10\cdot 128\implies a_8=-1280
8 0
3 years ago
Pls answer a b and c
monitta

Answer:

<u>Given</u>

  • r = 1.6 cm
  • h = 6.2 cm

a.

<u>Volume of the half-sphere:</u>

  1. V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)

b.

<u>Volume of the cylinder:</u>

  • V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³

c.

<u>Volume of the figure:</u>

  • V = 8.6 + 49.8 = 58.4 cm³
5 0
3 years ago
Read 2 more answers
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