Suppose the length of an oarfish is normally distributed with a mean of 6.5 m and a standard deviation of 1.5 m. Which group describes 16% of the oarfish population? Select each correct answer. oarfish that are between 6.5 m and 9.5 m oarfish that are shorter than 5 m oarfish that are between 3.5 m and 9.5 m oarfish that are longer than 8 m

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99

This indicates that the sample mean is lower than the population mean

Therefore,

- 0.99 = (x - 6.5)/1.5

- 0.99 × 1.5 = x - 6.5

- 1.5 = x - 6.5

x = - 1.5 + 6.5

x = 5m

The correct answer is

oarfish that are shorter than 5 m

Answer 2

Answer:

oarfish that are shorter than 5

oarfish that are longer than 8 m

I Just took the test!


Related Questions

The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?

Answers

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

Solve the following problem:

Given: △SAL, SA = LA

AT − ∠bisector

Prove: m∠L = m∠S

Answers

Answer:

[tex]\angle L=\angle S[/tex] using congruence rule

Step-by-step explanation:

Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]

To prove: [tex]\angle L=\angle S[/tex]

Proof:

Two triangles are congruent if they have same shape and same size.

Consider triangles ALT and AST

AL = AS

As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]

AT = AT (common side)

So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )

Here, SAS denotes side-angle-side

[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)

Hence proved

Explanation:

First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.

Since A = A, we can remove A and it gives us m∠L = m∠S.

If you need to show work in math terms, your answer should look something like this:

1. △ ALT ≅ △AST - SAS

2. AL ≅ AS - Given

3. m∠ L ≅ m∠S

Hope this helped!

The surface area of which composite figure is the sum of the areas of eight triangular faces?
VX
O two rectangular pyramids joined at their congruent bases
two rectangular pyramids joined at two congruent lateral faces
O two triangular prisms joined at their congruent bases
two triangular prisms joined at two congruent lateral faces

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

plz help

(2x/0.25)−0.525=7.475

what's x?

Answers

Answer:

i used calculator and got 1

Step-by-step explanation:

I did the same thing and I also got X=1

The image of the point (1, -2) after a rotation of 180° about the origin is

(-2, 1)
(2, -1)
(-1, 2)

Answers

Answer:

(-1,2)

Step-by-step explanation:

Found answer on brainly.

Answer:

(-1,2)

Step-by-step explanation:

In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).

(1,-2)×(-1x, -1y)= (-1,2) .

if both points were negative, the points would be positive. if they were positive, they would be negative.

Find the Slope. (Slopes are incredibly difficult for me at the time could you help??)

Answers

Answer:

[tex]\frac{rise}{run} =\frac{4}{1} =4[/tex]

Step-by-step explanation:

NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?

Answers

Answer:

16.0%

Step-by-step explanation:

Can some one help me???

Answers

Answer:

You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even

Step-by-step explanation:

Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x

Answers

Answer:

ln(216[tex]x^{4}[/tex] )

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

log [tex]x^{n}[/tex] ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln[tex]x^{4}[/tex]

= ln (216[tex]x^{4}[/tex] )

If A and B are independent events and P(A) = 0.8 and P(A and B) = 0.3, find P(B).
*
3/8
6/25
8/3
25/6

Answers

Answer:

6\25

Step-by-step explanation:

a real number line can represent both real and imaginary numbers

True or false ?

Answers

Answer:

True

Step-by-step explanation:

True is the answer to this question

18. Describe the shape of the data distribution.

Answers

Answer:

B.

Step-by-step explanation:

The shape of data distribution is "symmetric".

Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent

Answers

Answer:

=82%

Step-by-step explanation:

64:78*100=82%

PLEASE HELP ME! I'm really confusedddddddd!

Answers

Answer:

1) Negative (because y value decreases from left to right)

2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)

3) Positive (because y value increases from left to right)

Step-by-step explanation:



What is the volume of the following triangular prism?

60 cm3
12 cm3
3.75 cm3
6 cm3

Answers

Answer:

what prism?

I've done the same test before so I know the answer is 6 cm3

Could you please include the picture of the prism next time?

Step-by-step explanation:

Answer:

Im a bit late but the answer us 6 cm3

Step-by-step explanation:

The formula to find the volume of a triangular prism is

(1/2 x length x width) x height

or in other words

base x height

The base is the triangle on the side of the prism.

Can someone pls help

Answers

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

Answer:

a) Jo moved 1 kn from her starting position at minute 10

b) 0.13 km/min

Step-by-step explanation:

Look at the picture

Picture attached PLEASE HELP

Answers

Answer:

3

Step-by-step explanation:

The x value is half of the y value on this chart.

PLEASE HELP ME
10 points

Answers

Answer:

Between -2 and 0

Step-by-step explanation:

what is the surface of the square pyramid ?

A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)

Answers

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

What is the area of the triangle?

A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches

Answers

The answer is D = 12 square inches

Answer:

The answer is A. 6 square inches

Step-by-step explanation:

The area of a triangle is half the product of the height and base

PLEASE HELP. WILL GIVE 30 POINTS AND BRAINLIEST!!!!


In one school, a half of all students who like math like science as well. Also, in that school, a third of all students who like science also like math.
b)
In that school, what is the ratio of the number of students who like math to the number of students who like science?

Answers

Answer: Is there a total for how many kids like each? If there isn't than this is how I would solve it. For percentage purposes let's say there are 100 students. 50 like math, 50 like science. Half of the students who like math also like science, which means 75 percent of the school likes science. A third of students who like science also like math, and since 75 percent of the school of 100 children likes science, that would mean 1/3 of that is 25, which would mean 75 percentof all students like math. Hence the ratio, I believe, is 1 to 1.

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Answer:

well if you add the third of students to math and the third of students from science I think thats the answer

Step-by-step explanation:

Solve for k. Describe the steps taken to find the solution.
8 + 10 - 6k = 6(4 - k)

Answers

Answer:

no solutions

Step-by-step explanation:

8 + 10 - 6k = 6(4 - k)

Distribute

8 + 10 - 6k = 24 -6k

Combine like terms

18 -6k = 24 -6k

Add 6k  to each side

18 - 6k +6k = 24 - 6k+6k

18 = 24

This is never true so there are no solutions

Hey there! I'm happy to help you out!

To solve for k, we have to isolate it on one side of the equation and put all the constants on the other side.

The first thing we need to do is get the k on the right side out of parentheses. To do this, we will use the distributive property!

8+10-6k=24-6k

Now, we will combine like terms.

18-6k=24-6k

We want to get all the ks on the left side and all the constants on the right. Let's add six k to both sides to cancel out the -6k on the right.

18=24

As you can see, our variables canceled out. This is because our equation was saying 18 minus six of something was equal to 24 minus six of something, which makes no sense because that doesn't work!

We are left with 18=24, which isn't even a true equation! Therefore, there is no solution to this equation.

I hope that this helps! Have a wonderful day!

Surface area of a cylinder in terms of pi

Answers

The answer is B, 304 pi inches^2

Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?

Answers

Answer:

Its D

Step-by-step explanation:

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.

Answers

Answer:

[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct​

Answers

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

Help me I will give you brainliest!!!!

Answers

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18



E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.

Answers

Answer:

A

Step-by-step explanation:

Divide both sides of the equation by c²


When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.1 second. What probability of races will her finishing time be between 74.2 and 76.4 seconds?

Round to the hundredths place (2 places after the decimal)

Answers

Answer: 90% of the time.

Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.

(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)

Answers

Answer: [tex]-2x^3-14x^2+7x-4[/tex]

Step-by-step explanation:

[tex](3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)[/tex]

Distribute the negative sign.

[tex](3x^3-2x^2+4x-8)-5x^3-12x^2+3x+4[/tex]

Remove the other parentheses.

[tex]3x^3-2x^2+4x-8-5x^3-12x^2+3x+4[/tex]

Combine like terms.

[tex]-2x^3-14x^2+7x-4[/tex]

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