1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sleet_krkn [62]
3 years ago
6

PLEASE HURRY 50 POINTS Answer Both parts and I will reward Brainliest

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

We have:

a_1=-3

and:

r=4

so:

$\sum\limits_{n=2}^5\,-3\cdot4^{n-1}=\sum\limits_{n=1}^5\,-3\cdot4^{n-1}-a_1=S_5-a_1=\frac{-3-(-3)\cdot 4^5}{1-4}-(-3)=

=\dfrac{-3-(-3)\cdot 1024}{-3}+3=\dfrac{-3(1-1024)}{-3}+3=1-1024+3=\boxed{-1020}

It is a finite sum, so it is convergent.

You might be interested in
PLZZ HELP ILL GIVE BRAINLIST
scZoUnD [109]

Answer:

V≈471.24

r Radius: 5

h Height: 6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the ratio of the area of the trapezoid to the area of the hexagon
Tcecarenko [31]
1:2. Two hexagons fit in a hexagon.
4 0
3 years ago
The blood platelet counts of a group of women have a boll-shaped distribution with a mean of 261.1 and a standard deviation of 6
alexandr402 [8]

The variable is

X: blood platelet count of a woman

This variable has a bell shaped distribution (Normal)

With mean μ=261.1 and standard deviation σ=64.3

a.

The platelet count within 3 standard deviations of the mean can be calculated as

μ±3σ

You can symbolize it as

μ-3σ ≤ X ≤ μ+3σ

According to the empirical rule of the normal distribution you know that under any bell shaped distribution:

Between μ ± σ you'll find the 68% of the distribution

Between μ ± 2σ you'll find the 95% of the distribution

Between μ ± 3σ you'll find the 99% of the distribution

So following this rule you'll find 99% of the women with platelet count within 3 standard deviations of the mean.

b.

3% of the population is found between a vertain interval, the rest 97% is separated in equal tails around this interval.

Divide 0.97 by 2

0.97/2= 0.485

Each tail contains 0.485 of the distribtuion.

a and b represent the values within you'll find 3% of the population.

Until a you'll find 0.485 of the population and until b you'll find 0.485+0.03=0.515

To calculate both unknown values you have to use the standard normal distribution. This distribution is centered in zero, the left tail is negative and the right tail is positive.

a and b are at a equal distance from the mean but with different sign, so you only have to calculate on and then you invert the sign to get the other one.

I'll calculate the positive value:

Z= (X- μ )/σ~N(0,1)

P(Z≤ b)=0.515

Look in the body of the Z-table, rigth or positive entry and reach the margins for the value:

b= 0.038

Then using the values of the mean and the standard deviation you can calculate the corresponding valueof platelet count:

b= (X- μ )/σ

0.038= (X- 261.1 )/64.3

0.038*64.3=X-261.1

2.4434+261.1=X

X=263.5434=263.5

a=-b=-0.038

a= (X- μ )/σ

-0.038= (X- 261.1 )/64.3

-0.038*64.3=X-261.1

-2.4434+261.1=X

X=258.6566= 258.7

3% of the populations platelet count is between 258.7 and 263.5.

3 0
9 months ago
mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500
SOVA2 [1]

Answer:

3300

Step-by-step explanation:

Formula

Gross Salary = Basic + Commission

Givens

Basic = 3000

% = 12%

Solution

Gross = 3000 + 12/100 * 2500

Gross = 3000 + 30000/100

Gross = 3000 + 300

Gross = 3300

3 0
3 years ago
Can someone please help me? :)
Dimas [21]
Answer: is C. 30,000
8 0
3 years ago
Read 2 more answers
Other questions:
  • How to find the number for using a equivalent expression for nx a
    7·1 answer
  • Daniel is three years older than twice his brother's age. Daniel is 17. Fill in the box with the expression that represents the
    15·1 answer
  • The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would th
    12·2 answers
  • 6. Mr. Larson worked days during the week . On each day , he spent $ 7 on lunch . On Sunday , he spent $ 40 on lunch for his fam
    9·1 answer
  • What is the slope of the line graphed on the coordinate plane?
    5·1 answer
  • Two parallel lines are cut by a transversal as shown below.<br> Suppose
    9·2 answers
  • In this polygon, which angle is an interior angle
    14·2 answers
  • Devon drove at the same speed for 4 hours. He drove a total of 120 miles,
    15·2 answers
  • Work out the temperature
    15·1 answer
  • 9-5(x+4) = 3(2-x) - 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!