Which situation can be modeled with an exponential function?

A computer downloads 100 kilobytes of data per minute.

A tree grows 8 inches per year.

The number of visits to a website doubles every 24 hours.

The population of bacteria grows by 50 bacteria.

Answer:

9(2+2p)

9 x2 + 9 x 2p

18 +18p

Answer:

y = 5

Step-by-step explanation:

12^2 + y = 13^ 2

144 + y = 169

169 - 144 = 25

sqrt of 25 = 5

y = 5

Answer:

A, y=5

Step-by-step explanation:

I just did it right now

Answer:

x=20

y=10

Step-by-step explanation:

so as you can see this is a 30-60-90 triangle this means that y is opposite the 30 degree angle so it is 10 root three divided by root three so it is ten and x is 2y=20

Answer:

21

Step-by-step explanation:

Answer:

2800m2

12345667888888

Answer:

400m squared

Step-by-step explanation:

so a square has 4 EVEN sides.. 16 divide 4 is 4 just add the zeros..

Answer:

66

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer:

hi the answer is elven twelths or 11/12

Step-by-step explanation:

first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore

hope this help

Answer:

[tex]Opposite =- \frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]Number = \frac{4}{5}[/tex]

Required

Determine its opposite

To get the opposite of a number, we simply subtract it from 0.

So, we have:

[tex]Opposite =0 - \frac{4}{5}[/tex]

[tex]Opposite =- \frac{4}{5}[/tex]

Hence, the opposite is -4/5

Answer:

1+2x=y

Step-by-step explanation:

X: Number of sticks

Y= number of cakes

There is already one cake, so you must add one to the equation. You multiply x by two since 1 stick of butter (x) makes two cakes.

a. 20%

b. 15.3

c. 1900

d. 7.29

e. 180

f. 175

a. 17 out of 85 how many percentage?

b. what is 17% of 90?

c. 1026 out of ? = 54%

d. 8.1% of 90 = ?

e. ?% of 50 = 90

f. 88% of ? = 154

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(

Answer:

5√2

Step-by-step explanation:

With reference angle 45°

perpendicular (p) = 5

hypotenuse (h) = x

sin 45 ° = p / h

1/√2 = 5 / x

x = 5√2

Answer:

a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.

This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]

a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.

Here we have [tex]\mu = 16[/tex]

Higher than 16.25:

This is 1 subtracted by the pvalue of Z when X = 16.25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16}{0.1}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16}{0.1}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Probability of stopping:

2*0.0062 = 0.0124

0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

Here we have [tex]\mu = 16.05[/tex]

Higher than 16.25:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]

[tex]Z = -3[/tex]

[tex]Z = -3[/tex] has a pvalue of 0.0013

Probability of stopping:

0.0228 + 0.0013 = 0.0241

0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.

X = 16.25

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 15.75

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a pvalue of 0

0.5 - 0 = 0.5

0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Answer:

30 grapes, because there are half as many meaning grapes have twice the amount of the pears present

Answer:

x=28 degrees

Step-by-step explanation:

4x = 28*4 = 112

180 degrees - 112 = 68

ACD = 68

Answer:

[tex]1 \frac{5}{14}[/tex], [tex]\frac{19}{14}[/tex]

Step-by-step explanation:

How much longer did he study for his math test?

[tex]E=3\frac{6}{7}[/tex]

[tex]M=5\frac{3}{14}[/tex]

[tex]x=difference[/tex]

An equation for this would resemble this:

[tex]M- E=x[/tex]

Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2.     [tex]\frac{6(2)}{7(2)}=\frac{12}{14}[/tex]

Now we can solve the equation:

[tex]5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}[/tex]

[tex]1 \frac{5}{14}[/tex], as a mixed number

plz mark me brainliest. :0

Answer:

0.04m

Step-by-step explanation:

0.12/3=0.04

Answer:

Step-by-step explanation:

Total length of a wire = 0.12 m

If the wire is divided into 3 equal pieces then

Length of each piece

= 0.12 / 3

= 0.04 m

hope it helps :)

Answer:

no satisfied

Step-by-step explanation:

because of the rules

Answer: 32 degrees

Step-by-step explanation:

small angle : x

middle angle: x + 20

large angle: 3x

Form an equation: 5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

Hey in this type of questions there's no formula, you need to use your logic.

#Note that the full degree or a triangle is 180°

#The L in triangle is 90°

I see that you want to try to do it by yourself, i will give you the tips. to get the <BAD

#since <DAC is 90°, The ADB is 90° (180°-90°)

<BAD = 180° - 90° - 25° = 65°

Now, try to find <BCA yourself.

Tell me if you give up, i will tell you lol.

Answer:

10 pair of soccer shorts.

Step-by-step explanation:

Let the unknown be x.

Translating the word problem into an algebraic equation, we have;

2/5 yard = 1 pair of short

4 yard = x pair of short

Cross-multiplying, we have;

2x/5 = 4

Multiplying both sides by 5, we have;

2x = 20

x = 20/2

x = 10 pair of soccer shorts.

Answer: C Powers doesn't have to be negative for it to be simplified example 3^5 is simplified we don't need it to be (1/3)^(-5), its simply unnecessary.

Answer:

The ratio 1:3:5 by doubling each number is the same as 2:6:10 and the big one 10 is 10/(2+6+10) = 10/18 of the total, so multiplying top and bottom by 10 gives 100/180, so the biggest angle is 100° since the sum of all angles must be 180°.

Answer:

a) 0.5 = 50% probability that an NPN transistor will be selected.

b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types

c) 66.67% probability that it comes from the cabinet that contains only NPN transistors

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that an NPN transistor will be selected?

1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.

So

[tex]p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5[/tex]

0.5 = 50% probability that an NPN transistor will be selected.

b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?

Here we use the conditional probability formula.

Event A: NPN transistor

Event B: From the third cabinet.

50% probability that an NPN transistor will be selected, so [tex]P(A) = 0.5[/tex].

1/6 probability that it is from the third cabinet and NPN, so [tex]P(A \cap B) = \frac{1}{6}[/tex]

The desired probability is:

[tex]P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333[/tex]

0.3333 = 33.33% probability that it came from the cabinet that contains both types.

c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?

Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So

x + 33.33 = 100

x = 66.67

66.67% probability that it comes from the cabinet that contains only NPN transistors

Answer:

The anwser you are looking for is number 2

Step-by-step explanation:

Answer:

108-79=29

Step-by-step explanation:

Answer:

it literally says that 79 of dem were white lol

Step-by-step explanation: