ecosystem biodiversity is often used a measure of its overall

a shape
b size
c health
d income

Answer:

n > 4 I think is the answer, I'm not 100% sure

Answer:

n<1/4

Step-by-step explanation:

4<n Sub n on both sides

4n<0 Divide by 4 on both sides

n<1/4

Answer:

a) 0.3483 = 34.83% probability that 369 or more of the 1478 adults have sleepwalked.

b) 369 < 403.4, which means that 369 is less than 2.5 standard deviations above the mean, and thus, a result of 369 is not significantly high.

c) Since the sample result is not significant, it suggests that the rate of 24.5% is a good estimate for the percentage of people that have sleepwalked.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A result is considered significantly high if it is more than 2.5 standard deviations above the mean.

Normal probability distribution

Problems of normally distributed distributions can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume that 24.5% of people have sleepwalked.

This means that [tex]p = 0.245[/tex]

Sample of 1478 adults:

This means that [tex]n = 1478[/tex]

Mean and standard deviation:

[tex]\mu = 1478*0.245 = 362.11[/tex]

[tex]\sigma = \sqrt{1478*0.245*0.755} = 16.5346[/tex]

a. Assuming that the rate of 24.5% is correct, find the probability that 369 or more of the 1478 adults have sleepwalked.

Using continuity correction, this is [tex]P(X \geq 369 - 0.5) = P(X \geq 368.5)[/tex], which is 1 subtracted by the p-value of Z when X = 368.5.

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

[tex]Z = \frac{368.5 - 362.11}{16.5346}[/tex]

[tex]Z = 0.39[/tex]

[tex]Z = 0.39[/tex] has a p-value of 0.6517

1 - 0.6517 = 0.3483

0.3483 = 34.83% probability that 369 or more of the 1478 adults have sleepwalked.

b. Is that result of 369 or more significantly high?

362.11 + 2.5*16.5346 = 403.4

369 < 403.4, which means that 369 is less than 2.5 standard deviations above the mean, and thus, a result of 369 is not significantly high.

c. What does the result suggest about the rate of 24.5%?

Since the sample result is not significant, it suggests that the rate of 24.5% is a good estimate for the percentage of people that have sleepwalked.

Answer:

5. m<A = 25.3°; m<B = 64.7°

6. m<A = 40.2°; m<B = 49.8°

Step-by-step explanation:

Recall: SOHCAHTOA

5. Reference angle = <A

Opposite = 9

Adjacent = 19

Apply TOA:

Tan A = Opp/Adj

Tan A = 9/19

A = Tan^{-1}(9/19)

A = 25.3461759° ≈ 25.3° (nearest tenth)

Reference angle = <B

Opposite = 19

Adjacent = 9

Apply TOA:

Tan B = Opp/Adj

Tan B = 19/9

B = Tan^{-1}(19/9)

B = 64.6538241° ≈ 64.7° (nearest tenth)

6. Reference angle = A

Opposite = 20

Hypotenuse = 31

Apply SOH:

Sin A = Opp/Hyp

Sin A = 20/31

A = sin^{-1}(20/31)

A = 40.2° (nearest tenth)

Reference angle = B

Adjacent = 20

Hypotenuse = 31

Apply CAH:

Cos B = Adj/Hyp

Cos B = 20/31

B = cos^{-1}(20/31)

B = 49.8° (nearest tenth)

Step-by-step explanation:

-4y+5>-15

-4y>-15-5

-4y>-20

divide both (-)

4y>20

divide through by 4

y>20/4

y>5

Answer:

15.46

Step-by-step explanation:

Answer:

15.46

Step-by-step explanation: if this isnt it im sory

Answer:

[tex]B. ~(f+g)(x)=6x^3+4x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2+4x-5[/tex]

[tex]g(x)=6x^3-2x^2+3[/tex]

[tex]Find~(f+g)(x)[/tex]

[tex]=2x^2+4x-5+6x^3[/tex]

[tex]-2x^2+3[/tex]

[tex](f+g)(x)=6x^3+4x-2[/tex]

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

hope it helps....

have a great day!!

Answer:

If y - 4 = 5 then:

y = 5 + 4

y = 9

Answer:

73 Papers

Step-by-step explanation:

Let's start by finding out how many papers Mrs. Thiel has already graded.

56 + 49 = 105

Now, let's subtract how many papers she has already graded from how many she has to grade in total.

178 - 105 = 73

So, Mrs. Thiel has to grade 73 papers this evening.

Answer:

Hello!

16

Step-by-step explanation:

Because

-5+16=11

Answer:

We reject H₀.  We support that the new average credit card debt is bigger than the previous average

Step-by-step explanation:

Five years earlier

μ   = 8189

σ  =  690

Sample size   n  = 32

Recent year debt

x  =  8776

Sample size   n  = 32

a) Hypothesis Test:

Null Hypothesis                        H₀            x  =  μ   = 8189

Alternative Hypothesis           Hₐ             x >  μ

b) z(c)  Alternative Hypothesis establishes that the test is a one tail-test to the right.

z(c)   for significance level  α = 0.05    is  from z-table      z(c) = 1,64

c) z(s)  =  (  x  -   μ ) / σ /√n

z(s)  =  ( 8776  - 8189 ) / 690 /√32

z(s)  =  587 *5,66/ 690

z(s) = 4,81

d) Comparing   z(c)    and z(s)

z(s)  >  z(c)   Then z(c) is in the rejection region and we reject H₀

e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average

Answer:

50% or 1/2

Step-by-step explanation:

A coin has 2 sides so 100/2 equals 50 so either 50% or 1/2. There is your answer

Answer:

I got 6.

Step-by-step explanation:

I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.

Answer:

0

Step-by-step explanation:

Coolin

Answer:

x^2(x-5)

Step-by-step explanation:

f(x)=x-5

g(x)=x^2

g(f(x)=?

x^2(f(x)=?

x^2(x-5)

If this helps please mark as brainliest

9514 1404 393

Answer:

  D.  (x -5)²

Step-by-step explanation:

Replace the variable with the function argument.

  G(F(x)) = G(x -5) = (x -5)² . . . . . matches choice D

Answer:

The first answer is right (18).  Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.

Step-by-step explanation:

Answer:

1,632 liters of liquid remain in the pitcher.

Step-by-step explanation:

Given that a pitcher contains 2 liters of liquid, and Jin pours 368 milliliters of this liquid into a test tube, to determine how much liquid is left in the pitcher the following calculation must be performed:

368 milliliters = 0.368 liters

2 - 0.368 = X

1.632 = X

Therefore, 1,632 liters of liquid remain in the pitcher.

Answer:

A

Step-by-step explanation:

where the graph

WHERE THE GRAPH???

Answer:

2e = c

Step-by-step explanation:

Let :

Egg = e

Cookies = c

2 eggs for every 1 dozen of cookies

This gives the Mathematical expression :

2 eggs = 1 c

2e = c

Answer:

Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.

Answer:

40

Step-by-step explanation:

From the diagram;

VW = 2(20)

VW = 40

Simce VW is similar to XY, hence VW = XY = 40

Hence the length of XY is 40

Answer:

(5, 8)

Step-by-step explanation:

(5. – 5) down 3 units => (5, -8)

reflect x-axis => (5 , 8)

Answer:

The solution is [tex]x = -\frac{5}{6}[/tex]

Step-by-step explanation:

We solve this question using exponential properties.

We have that:

[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]

Simplifying:

[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]

[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]

[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]

Changing the numerator and denominator in the right side:

[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]

Since both bases are equal:

[tex]6x = -5[/tex]

[tex]x = -\frac{5}{6}[/tex]

The solution is [tex]x = -\frac{5}{6}[/tex]

Answer:

= 15x^9/10

Step-by-step explanation:

Multiply the numbers: 3 . 5 = 15

= 15x^1/2x2/5

Apply exponent rule: a^b . A^c = a^b + c

= 15x^1/2+2/5

1/2 + 2/5 = 9/10

= 15x^9/10

Answer:

sin49= 0.7

Step-by-step explanation:

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Answer: y>-2 (The symbol has a underline)

Step-by-step explanation:

Since you want to move -4 to the -6 spot, do the opposite of the negative which is positive. So add +4 to each side. And the -4 will disappear and you will be left with y>-6+4. Solve -6+4= -2 And so the answer is y>-2.

Hope this helps

Answer: 6x+6

Step-by-step explanation:

3*2x=6x

3*2=6

Therefore 3(2x+2) = 6x+6

Answer:

Area = 64 cm²

Step-by-step explanation:

To find the area, we have to follow some steps:

=> Step 1: Make the bases similar:

Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:

(6 + 10) / 2

(16) / 2

8

So now that we know our base,

=> Our second step is to multiply the base we found by the height of the trapezoid:

Area = common base * height

Area = 8 * 8

Area = 64 cm²

Hope this helps!