The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.

What is the z-score of a beetle of this species with a length of 2.38 centimeters?



Enter your answer in the box.


Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer 1

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

 

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

 

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4


Related Questions

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Answers

Answer:

The general rule is [tex]a_n = -2 - 5(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

[tex]a_{n} = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

[tex]a_n = a_m + (n-m)d[/tex]

a3 = -12 and a8 = -37

First we find the common difference. So

[tex]a_n = a_m + (n-m)d[/tex]

[tex]a_8 = a_3 + (8-3)d[/tex]

[tex]-37 = -12 + 5d[/tex]

[tex]5d = -25[/tex]

[tex]d = -\frac{25}{5}[/tex]

[tex]d = -5[/tex]

So

[tex]a_n = a_1 - 5(n-1)[/tex]

Finding the first term:

[tex]a_n = a_1 - 5(n-1)[/tex]

Since [tex]a_3 = -12[/tex]

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_3 = a_1 - 5(3-1)[/tex]

[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]

So the general rule is:

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_n = -2 - 5(n-1)[/tex]

You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary.

Answers

29.99 *0.065 = 1.94935.
1.94935+29.99 =31.93935 - rounded = 31.94 cents

Answer:

hjvcwhcd

Step-by-step explanation:

hccdw u hvucoijihcxpoiyutrdjrggggggggggggggggggggggggggggggggggggggg

17 cm
12 cm
5 cm
pls help

Answers

Answer:

30 cm²

Step-by-step explanation:

A = bh/2

A = (12 cm)(5 cm)/2

A = 30 cm²

what is the ans and pls explain

Answers

The answer is a happy to help

8. A plumber charges $85 for service calls plus $23 per hour for labor. Write and solve an equation to determine how much he would charge for a 24 hour service call.​

Answers

Answer

24*108=x

Step-by-step explanation:

Lets say x is the total amount. and you need to find it for 24 and 85+23= 108 dollars. and so you multiplay 108 with 24. hope it helped

50 points , please be honest

Answers

Answer:

7

Step-by-step explanation:

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

7^2+b^2=8^2

49+b^2=64

b^2=15

b=[tex]\sqrt{15}[/tex]

Morgan is a teacher and takes home 87 papers to grade over the weekend. She can grade at a rate of 9 papers per hour. How many papers would Morgan have remaining to grade after working for 7 hours?

Answers

Answer: 24

Step-by-step explanation: Delta math  a=78+(7−1)(−9)

Answer:

2369.9

Step-by-step explanation:

Add it back

what is the value of the expression below? (64^3)^1/6

Answers

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)


[tex] \sqrt[3]{54} [/tex]
How do I solve?​

Answers

Answer:

find the cubic root of the number given

Help me please with this thank you

Answers

I believe it is 4. I am not 100% sure

11. The product of 4.8 and 0.4 is 19.2
A) True
B) False


Answers

Answer:

false it's product is 1.92

PLEASE ANWSER ASAPPPP

Answers

that answer is 10.7 as the perimeter

Acellus
Find the lateral area of this cone.
Leave your answer in terms of 7.
24in
10 in
T ㅠ
Hint: Lateral Area of a Cone = more
Where e = slant height
Enter

Answers

Answer:

24 in

Step-by-step explanation:

i donk know

its a guess

Answer: 260

Step-by-step explanation:

The only solution to x^2+bx+c=0 is x=5 find a and b

Answers

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

ANSWER IMMEDIATELY! GIVING BRAINLIEST !!

Answers

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

Which expression is equivalent to -2 1/4 divide -2/3?

Answers

Answer:

-9/4 divide (-2/3)

Step-by-step explanation:

What type of counting problem is this?

Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?

Answers

The type of counting problem is combination with repetition.

What is combination ?

One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.

As johnny  use a lot of condiments.

His mother tells him he may only make two additions to his meal.

He can add 2 condiments only twice, whether he already use them or not.

So, here we will use combination with repetition  because here same condiments can be added twice that is two times.

So, in how many different ways can johnny improve his meal can be determined by combination with repetition.

Learn more about combination here:

https://brainly.com/question/13387529

#SPJ2

Answer:

10

Step-by-step explanation:

The volume of the following solid figure could be found by multiplying the area of its circular base by the height of the cone. True False

Answers

Answer:

its false

Step-by-step explanation:

Brainly is so bad. They are deleting all of these questions like ITS MY HOMEWORK AND I NEED HELP THAT WHAT THE APP IS FOR??????? STOP DELETING QUESTIONS BECAUSE THERE ARE SOME KIDS CRYING BECAUSE THEY JUST CANT UNDERSTAND IT AND THEY NEED AN EXPLANATION BRAINLY IS GETTING WORSE AND WORSE.

Answer:

The answer to this question is FALSE

hope you have a nice day!

A golfer drives a ball 21 degrees from a line between the tee and the hole that is 380 yards away. How far is the ball from the whole if it landed 190 yards from the tee?

NEED WORK

Answers

Answer:

190

Step-by-step explanation:

its 170 because 380-170=190

Please help me!

Evaluate (-27)^1/3

1/3 is a fraction

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is correct, but why?

The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.

[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]

So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]

[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]

etc.

Help!! Thanks in advance

Answers

Answer:

I uploaded a file hosting for your question!

Here’s the answer:

bít.ly/idonotscampeople

Step-by-step explanation:

[tex]\frac{9}{11} =\frac{x}{22}[/tex]

[tex]11x=198[/tex]

[tex]x=18[/tex]

Answer:

18 is the answer of the question

Every unitary operator U : X → X is normal. b) A matrix is unitary if and only if it is invertible. c) If two matrices are unitarily equivalent, then they are also similar. d) The sum of self-adjoint operators is self-adjoint. e) The adjoint of a unitary operator is unitary. f) The adjoint of a normal operator is normal. g) If all eigenvalues of a linear operator are 1, then the operator must be unitary or orthogonal. h) If all eigenvalues of a normal operator are 1, then the operator is identity. i) A linear operator may preserve norm but not the inner product.

Answers

yes

for the following reasons:

The owner of a small store buys coats for $55 each answer Parts A and B. Hey. He sells the coats for $66 each. What is the percent of the purchase price is the sale price? The sale price is 120% of the purchase price B. The owner increases the sale price by the same percent that you found in part A when he buys jackets for $45 and sells them. How many jackets must the owner by for the total jacket sales to be at least $260? Explain your answer.

Answers

Answer: 71.43%
Step-by-step explanation:
$77___100%
$55___x=71.43%
$55*100/$77 = 71.43

What is the area? 20 km 13 km 16 km

Answers

15,600. multiply them

⚠️ PLEASEEEE HELPPPPPP !!!!!

Answers

Answer:

Where is the pic

Step-by-step explanation:

What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in simplest form.

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

1. the requred slope can be calculated using the formula:

[tex]slope=\frac{|y_1-y_2|}{|x_2-x_1|};[/tex]

2. according to the formula above:

slope=(23-3)/(18-3)=20/15=4/3


Kaleb feeds 4 cups of pellets to his pet hamsters each day. He gives his guinea pig 3/4 as much food as he gives the hamsters.

How much food does the guinea pig receive each day?

Answers

Answer:

The hamster eats 1 cup a day I hope this helps

Step-by-step explanation:

How many recent graduates make less than 44,000 dollars

Answers

Answer:

C) 1,000 students

Step-by-step explanation:

Look at the bar graph and add up all the values less than 44,000.

:D

1,000 dollars because you see how it goes from low to high

In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?

Answers

Answer:

[tex]\frac{80}{39}[/tex]

Step-by-step explanation:

SOHCAHTOA

O =Opposite

A = Adjacent

H = Hpotenuse

If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.

When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.

Is 7/10 a simplest form

Answers

Answer:

710

Step-by-step explanation:

Detailed Answer: The fraction 710 is already in the simplest form, so it isn't possible to reduce it any further.

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