Find the mean of the data in the bar chart below.

Answer:

(c) and (e) are true

Step-by-step explanation:

Given

[tex]P(d) = 10. (1.08)^d[/tex]

See attachment for complete question

Required

Which of the options is true

(a) 1080 insects on day 1

This implies that d = 1

So, we have:

[tex]P(1) = 10* (1.08)^1[/tex]

[tex]P(1) = 10* 1.08[/tex]

[tex]P(1) = 10.8[/tex]

(a) is incorrect because [tex]P(1) \ne 1080[/tex]

(b) 10800 insects after a week

This implies that [tex]d = 7[/tex]

So, we have:

[tex]P(7) = 10* (1.08)^7[/tex]

[tex]P(7) = 10* 1.71382426878[/tex]

[tex]P(7) = 17.14[/tex]

(b) is incorrect because [tex]P(7) \ne 10800[/tex]

(c): Growth factor per day is 1.08

An exponential factor is represented as:

[tex]y = ab^x[/tex]

Where

b is the growth factor

By comparison:

[tex]b = 1.08[/tex]

Hence, (c) option is true

(d): Growth factor per week is 1.08*7

In (c), we have:

[tex]b = 1.08[/tex] as the daily growth factor

So, the growth factor for n days is:

[tex]Factor = 1.08^n[/tex]

Substitute 7 for n i.e. 7 days

[tex]Factor = 1.08^7[/tex]

So, the growth factor for 7 days is: [tex]1.08^7[/tex] not [tex]1.08*7[/tex]

Hence, (d) option is true

(e): Growth factor per week is 1.08*7

In (c), we have:

[tex]b = 1.08[/tex] as the daily growth factor

For hourly rate, we have:

[tex]Factor = 1.08^\frac{1}{24}[/tex]

Hence, (e) option is true

Answer:

[tex]V=60.28\ cm^3[/tex]

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3[/tex]

So, the volume of the pyramid is equal to [tex]60.28\ cm^3[/tex].

Answer:

A

Step-by-step explanation:

First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome

Answer:

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Step-by-step explanation:

Composite functions:

Suppose that we have two functions, f and g. Their composite is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

We have that:

[tex]f(x) = 3x + 2[/tex]

[tex]g(x) = x^2 + 1[/tex]

The composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Answer:

Step-by-step explanation:

You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)

Here you’ll need to use the 30,60,90 degree triangle rule:

The opposite side of 30 degree will be y

30->y

90->2y->12√3 => y=6√3

60->y√3->x => 6√3x√3=6x3=18

To understand the rule better you can check the picture below.Wish it will help you!Good luck!

Answer:

112 teaspoons of crushed garlic

Step-by-step explanation:

56•2=112

Answer:

$7.51

Step-by-step explanation:

I think you meant $32.49*

$40.00

- $ 32.49

-----------------

$ 7.51

Since she's giving the clerk $40.00 for an item that only costs $32.49, you subtract $32.49 from $40.00 to get the amount of change she would get back.

Answer:

Volume of a cone = 18 in³

Step-by-step explanation:

diameter of cone = 3 in

radius of cone = 1.5 in (diameter/2)

height = 8 in

Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 1.5 × 1.5 × 8)/3

V = 54/3

V = 18 in³

The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?

The sides of a triangle are in the ratio 1: 2: 4. (Given)

Let the three sides of a triangle be x, 2x and 4x respectively.

So,

ATQ ,

4x - x = 84

3x = 84

x = [tex] \bf \frac{84}{3} [/tex]

[tex] \therefore [/tex] Longest side = 4x = 4 × 28 = 112 cm.

Shortest side = x = 28 cm.

And, the other side = 2x = 2 × 28 = 56 cm

Now, we have to find the perimeter of the triangle.

Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.

Answer:

1

Step-by-step explanation:

1. List the prime factors of each number.

2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

3. Multiply all the circled numbers. The result is the GCF.

Answer:

1

Step-by-step explanation:

Answer:

seriously,I think the answer is 10 hundred thousand

Step-by-step explanation:

10*100000=1000000

Answer:

no inglish :"<

sorry pero espero y alguien te responda bien pronto

Answer:

sh 75

Step-by-step explanation:

I don't know what's the method but I hope this will help.if it isn't matching the answer in your book, you can ask me I mean you can tell me.

Answer:

the symmetry would be the opposite

Step-by-step explanation:

hope it helps

answer: infinitely many :)

Answer:

$638.25

Step-by-step explanation:

I multiplied 17.25 times 37. The product was $638.25.

I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.

Answer:

B.

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 180, standard deviation = 30.

150 pages:

150 is 180 - 30 = 1 standard deviation below the mean.

We have that approximately 68% of measures are within 1 standard deviation of the mean, so 100 - 68 = 32% are more than one standard deviation.

The normal distribution is symmetric, which means that of those 32%, 32/2 = 16% are more than 1 standard deviation below the mean, that is, below 150.

So the correct answer is given by option B.

Answer:

LN= 68°

Step-by-step explanation:

Answer:

Ahmed is incorrect.  The first thing to note is that if the value of a is 0, than it is not a quadratic function- it is a linear function.

Second thing to not is that a parabola because narrower as the value of  a increases, not decreases.  If the parabola is narrower than the parent graph, that means a has a value that is greater than 1.

Please remember to brainliets this answer.

Answer: 26 yards

Step-by-step explanation: I have a trick i like to use. If its diameter use the number they provide if its radius divide the number by 2.

I'm not sure if it works in every case but you can try it ^^

Answer:

See explanation

Step-by-step explanation:

Since banks use compound interest, then we write;

A = P(1 +r)^n

A = amount

P = principal

r= rate

n= time period

P = $7,500

n = 6

r = 6%

Substituting values;

A = P(1 +r)^n

A = 7,500(1 + 6/100)^6

A=$ 10,639

Interest = Amount (A) - Principal(P)

Interest = $ 10,639 - $7,500

Interest = $3139

Her final account balance after six years is $10,639

Answer:

The Answer is gonna C.Computing and reporting net cash provided or used by investing activities.

Step-by-step explanation:

I hope I helped

Answer:

$1125000

Step-by-step explanation:

45,000 x 25 = 1125000

Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.

The answer is

b. two real solutions

Answer:

[tex]x + y = 1042[/tex]

[tex]1.5x + 0.75y = 1140[/tex]

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of regular fares paid.

y is the number of reduced fares paid.

1,042 total fares were paid

This means that [tex]x + y = 1042[/tex]

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.

This means that:

[tex]1.5x + 0.75y = 1140[/tex]

System of equations:

The system of equations is:

[tex]x + y = 1042[/tex]

[tex]1.5x + 0.75y = 1140[/tex]

Answer:

The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours

The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.