5. Below is the data from randomly sampling 100 students in two different cities

Find the sum of the finite geometric series: 5 + 10 + 20 + ... +81,920.

Anestetic [448]

Answer:

No solution

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term. In other words, a n +a1 ⋅ r n -1

Geometric Sequence: r = 2

The series given has a value of r such that r > 1 or r < − 1. Therefore, the infinite sum cannot be calculated.

8 0

2 years ago

Find the area of this prism.

RUDIKE [14]

Do you mean volume? Its a 3d figure:
240 cubic centimeters.

Just use the formula length x width x height
And divide the figure into two figures so u can find the area much easier

Comm.ent me if u have any questions,
-SpaceMarsh
Brainliest pls?

8 0

3 years ago

Which of the following linear equations represents the data chart?

BlackZzzverrR [31]

Answer: y = -x + 7

Step-by-step explanation:

The slope is $\frac{5-6}{2-1}=-1$ , so we know the equation is of the form $y=-x+b$ .

Substituting in the coordinates (1,6) to find b,

$6=-1+b\\\\b=7$

Thus, the equation is y = -x + 7

4 0

2 years ago

A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength

irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let $\bar X$ = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean comprehensive strength = 5500 psi

$\sigma$ = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( $\bar X$ > 4985 psi)

P( $\bar X$ > 4985 psi) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{4985-5500}{\frac{100}{\sqrt{9} } }$ ) = P(Z > -15.45) = P(Z < 15.45)

= 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

4 0

3 years ago

HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.

Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$