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3 years ago

Create an exponential function that models this situation based on the time in secons in the video.

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Answer:

B(t) = 2* $2^{t}$

Step-by-step explanation:

You have all correct choices.

We can use the given values and work out the equation:

B(t) = $ab^{t}$
B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2
B(1) = 4 ⇒ a*b¹ = 4 ⇒ 2b = 4 ⇒ b = 2

The function for this situation is:

B(t) = 2* $2^{t}$

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All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

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.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

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

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

Lyudmila bought a CD player for 25% off the regular price of $179.99. How much did she save? How much did she pay?

Naddik [55]

She paid $134.99 for the CD PLAYER

5 0

3 years ago

1. A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit

kykrilka [37]

Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND time rabbit spends hopping can be expressed as t

From the question, The number of feet varies directly with the time rabbit spends hopping can be expressed as

N α t

Let us introduce a constant of proportionality ,S which represents speed in this case, we now have that

N = St

STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6= S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12= S X 4

S = 12/ 4

S = 3

Also recall

that Speed = Distance / time

Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

5 0

3 years ago

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aliya0001 [1]

Answer:

yes

Step-by-step explanation:

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3 years ago

(1- cos10° + cos40° - cos50°)/ (1 + cos10° - cos40°-cos50°) = = tan 5º. cot 20°

avanturin [10]

What’s your question?

7 0

3 years ago