Jim is selling hot dogs at a ball game.

Vladimir [108]

There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers

Answer:

$t= 462.82\ days$

Step-by-step explanation:

Exponential Growth

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

$\displaystyle f(x) = f_o(1 + r)^t$

Where $f_o$ is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

$\displaystyle f(x) = 100(1.01)^t$

We need to know when the number of followers will reach 1,000,000. Setting up the equation

$\displaystyle 100(1.01)^t=1,000,000$

Simplifying by 100

$\displaystyle (1.01)^t=10,000$

Taking logarithms

$\displaystyle t\ log(1.01)=log\ 10,000$

$\displaystyle t\ log(1.01)=4$

Solving for t

$\displaystyle t=\frac{4}{log(1.01)}=925.63$ periods of 12 hrs

$t= 462.82\ days$

7 0

3 years ago

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with

Stels [109]

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that $\mu = 26, \sigma = 2$

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 26}{2}$

$Z = -0.5$

$Z = -0.5$ has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

4 0

2 years ago

Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can

avanturin [10]

The marching l meaning of the X intercept is when the school receives $0

4 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST| Beginning in 2011, Yemen was drawn into a civil war because of:

Lady bird [3.3K]

Answer:

Yemen was a poor country with a government widely acknowledged to be corrupt, with a large amount of weapons in private hands. By 2011, the country was already facing challenges from al Qaeda-linked militants and separatists in the south and Zaydi Shia rebels in the north.

8 0

2 years ago

35 points!! Only comment if you really know the answer please.

hodyreva [135]

Y = 3x - 1 ---- (1)
x - y = -9 ---- (2)

From Equation 2:
x - y = - 9
x + 9 = y
y = x + 9 --- (2a)

(1) - (2a):
0 = 3x - x - 1 - 9
0 = 2x - 10
2x - 10 = 0
2x = 10
x = 5 ---- sub into (1)

y = 3(5) - 1
y = 15 - 1
y = 14

5 0

3 years ago