1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%

Answers

Answer 1

Answer:

16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Step-by-step explanation:

Mean = 80 g

Standard Deviation = 2

We need to find percent of the cockroaches have weights less than 78 grams so, x=78

First we will find z using formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Putting values of x, mean and Standard Deviation to find z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]

We need to find P(z<-1)

Looking in the normal distribution table

[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]

So, 16% of the cockroaches have weights less than 78 grams.

Option A is correct.


Related Questions

The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?

Answers

The answer is 8 because the second triangles sides are 1.5 times the first.

Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.) (−1, 0), (1, −2), (3, −3)

Answers

Answer:

y = - 0.9167 - 0.75x

Step-by-step explanation:

Given the data:

(−1, 0), (1, −2), (3, −3)

X : - 1, 1, 3

Y : 0, - 2, - 3

The regression model is written in the form:

y = C + mx

Where ;

C = intercept ; m = slope / gradient

Using the regression model calculator on the data values given above :

Slope (m) = - 0.75

Intercept (c) = - 0.9167

Hence,

y = - 0.9167 - 0.75x

c

i really need help and fast

Answers

i believe the correct answer is C

Answer:

D. 51, 53, 55, 58, 60

Step-by-step explanation:

Pardon the messiness!

What is the correlation coefficient r for the data set?



Enter your answer to the nearest hundredth in the box.

r=



x y
25 240
26 242
27 230
28 229
28 220
28 219
29 200
30 202
31 184
32 180

I think its -0.95 but im not sure. please explain

Answers

Answer:

c

Step-by-step explanation:

X^3 = 1000 for math please help

Answers

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

3.4z+ 2.8z =
I need help now!!!​

Answers

Answer:

6.2z

Step-by-step explanation:

its basically just 3.4 + 2.8 but you add a z.

Answer:

6.2z

Step-by-step explanation:

Basically adding 3.4 +2.8 getting 6.2 then adding z to the end of it

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour How many ounces of each kind of flour should be used to make a loaf of

bread weighing 22 oz?

Answers

Given :

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour.

To Find :

How many ounces of each kind of flour should be used to make a loaf of

bread weighing 22 oz.

Solution :

It is given that ratio of rye and whole wheat flour is 1 : 3.

Let, amount of rye flour is x and amount of whole wheat flour is 3x.

So, x + 3x = 22

4x = 22

x = 5.5 oz

3x = 16.5 oz

Therefore, amount of rye flour and whole wheat flour is 5.5 and 16.5 oz respectively.

Hence, this is the required solution.

PLz HELP I BEG I GIVE U BRAINLYEST

Answers

Answer:

I believe it is 19.8

Step-by-step explanation:

well if 9 is the number then I  would do

9.9 +

9.9

______

I get 19.8

Tell me if I am wrong :)

Answer:

a.b+c.d=_

Cancellation of the c here requires that it appears in each additive term of the numerator and denominator: ca + cb cd. = c(a + b) cd. = a + b d but ca + b.

Step-by-step explanatin:

you just had to add both of them together and I showed you how, and what the answer is.

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Answers

Answer:

The minimum sample size is [tex]n = 2295 [/tex]    

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.09[/tex]

    The sample mean is  [tex]\= x = 6.6[/tex]

     The variance is  [tex]\sigma^2 = 4.84[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\sigma^2}[/tex]

=> [tex]\sigma = \sqrt{4.84 }[/tex]

=> [tex]\sigma = 2.2[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [\frac{1.96  *  2.2 }{0.09} ] ^2[/tex]

=>   [tex]n = 2295 [/tex]    

CAN SOMEONE CREATE A QUESTION THEN MARK ME BRAINLIEST PLS I WILL MARK YOU BRAINLIST ON THIS QUESTION TOO BUT MAKE YOUR QUESTION ALSO

Answers

Answer:

ok go  answer one of my questions ill then give it to u

Answer:

ok i will it will  thx to you too

Step-by-step explanation:

What are the respective coefficients when the equation is balanced with the smallest whole number integer values?

Answers

Answer: That would be 4,3,2

Step-by-step explanation: Hope this helps

/

Which statement is false?

A.
by SSS
B.
by SAS
C.
by SAS
D.

Answers

Answer:

sorry, i haven't understood your question!! how can i tell which statement is false.

Angle A measures 4x + 40 degrees and angle B measures x – 10
degrees. If angles A and B are complementary, what is the
measure of angle B?

Answers

Answer:

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

[tex] m\angle A + m\angle B = 90\degree \\\\

(4x +40)\degree + (x-10)\degree = 90\degree \\\\

(4x+x +40-10)\degree = 90\degree \\\\

(5x +30)\degree = 90\degree \\\\

5x + 30= 90\\\\

5x = 90 - 30\\\\

5x = 60\\\\

x = \frac{60}{5}\\\\

x = 12\\\\

m\angle B = (x-10)\degree \\\\

m\angle B = (112-10)\degree \\\\

m\angle B = 2\degree \\\\[/tex]

geometry congruent triangles.
will give brainliest.

Answers

Answer:

For question 9: angles T and Q

For question 10: Line JF and line IH

Step-by-step explanation:

Are AC and DF definitely parallel? How do you know?

Answers

Answer:

We know that,

Angle E = 123

Angle B = 57

We observe that,

Angle DEB and Angle E form a linear pair and are supplementary.

Angle DEB + Angle E = 180

Angle DEB = 180-123

=57

We know that if two lines are parallel, the corresponding angles are equal.

Conversely, if the corresponding angles are equal, then the two lines are parallel.

Here,

As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.

Step-by-step explanation:

ang B = 180 - 57 = 123°

Since the corresponding angles are equal

So AC and DF are parallel to each other.

I have no idea what I'm doing​

Answers

We all know we get tired of the ads

What is the measure of

Answers

Answer: w= 155

Step-by-step explanation:

hhiycycucucicuvuvuvu​

Answers

Answer:

isjsuzizwjskzkzuziziss

Answer:

e7eufthysostutrhrbdbdhdbdhrbt

Which is the better buy?
2-quart carton of pineapple juice for $2.00
7-cup carton of pineapple juice for $3.01

Answers

Answer:

7-cup carton of pineapple juice for $3.01

Step-by-step explanation:

2-quart carton of pineapple juice for $2.00

2.00 : 2 = 1.00

check your work:  1.00 x 2 = 2.00

so for the first offer you will be paying $1.00 per quart

7-cup carton of pineapple juice for $3.01

1 cups = 0.25 quarts

7 cups = 1.75 quarts

3.01 : 7 = 0.43

check your work: 0.43 x 7 = 3.01

for the second offer you will be paying $0.43 per quart of juice. 7-cup carton of pineapple juice for $3.01 is a better buy because you will be paying less than half of the price for each quart  than the first offer.

hope this helps!

In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

Answer:

5:6

Step-by-step explanation:

the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped

i think of a number x double it add eleven i get 25

Answers

Answer:

x=7

Step-by-step explanation:

Construct parallelogram PQRS
with |PQ|=10cm, |ps|=8cm and
<QPS = 120​

Answers

Find sketch of parallelogram attached

Answer and explanation:

A parallelogram is a quadrilateral which is wider than it is long. A parallelogram has two sides parallel to the other. From the above, we are told the parallelogram PQRS has an angle QPS 120, with sides 10cm and 8cm, we use this to sketch the parallelogram

We find that angle QPS is 120 degrees hence angle RSP is 60 degrees since angle on straight line is 60 degrees from 180-120 in angle QPS and alternate angles are equal. Also opposite angles of a parallelogram are equal

Help me please find which ones are the right triangles (10 points )

Answers

Answer:

i can't delete my answer but at first i thought it was just #7 but then i paid attention to the others and they all look like right triangles but idk fs sorry

Step-by-step explanation:

The teacher asked Jenny's class to solve the equation $5x - 6 = 4x + 9$. Jenny copied the coefficient of $x$ on the right-hand side incorrectly and wrote down a different equation. Jenny correctly determined that her equation had no solutions. What was the coefficient of $x$ on the right-hand side of Jenny's equation?

Answers

Answer:

15

Step-by-step explanation:

5x - 6 = 4x + 9

    +6         + 6

    5x = 4x + 15

  -4x     - 4x

x = 15

Plz I need this ASAP

Answers

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?

Answers

Answer:

104 miles

Step-by-step explanation:

13 miles * 8 hours = 104 miles

Answer:

104 miles

Step-by-step explanation:

Express the decimal: 0.60 as a fraction

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

[tex] \frac{60}{100} [/tex]

or more simplified:

[tex] \frac{6}{10} [/tex]

or more-more simplified:

[tex] \frac{3}{5} [/tex]

A grid model with 100 squares. 5 squares are shaded. Select the values that make the statement true. StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p% n = d = p =

Answers

Answer:

5

20

5

Step-by-step explanation: srry im late

Answer:

First 5, Second 20, third 5.

Step-by-step explanation:

:D

How do I find the lcm of a number .
Can you please explain to me

Answers

Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.

What is the lcm of 84,102 and 100

Answers

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

LCM=2×2×3×5×7×17=7120
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