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%

Answer:

x=7

Step-by-step explanation:

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]    

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.

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]

Answer:

For question 9: angles T and Q

For question 10: Line JF and line IH

Step-by-step explanation:

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]

Answer: w= 155

Step-by-step explanation:

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:

Answer:

2°

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]

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

5x - 6 = 4x + 9

    +6         + 6

    5x = 4x + 15

  -4x     - 4x

x = 15

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

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

Answer:

104 miles

Step-by-step explanation:

13 miles * 8 hours = 104 miles

Answer:

104 miles

Step-by-step explanation:

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

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

Answer:

isjsuzizwjskzkzuziziss

Answer:

e7eufthysostutrhrbdbdhdbdhrbt

Answer: That would be 4,3,2

Step-by-step explanation: Hope this helps

Answer:

c

Step-by-step explanation:

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:

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.

Answer:

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

Answer:

D. 51, 53, 55, 58, 60

Step-by-step explanation:

Pardon the messiness!

Answer:

5

20

5

Step-by-step explanation: srry im late

Answer:

First 5, Second 20, third 5.

Step-by-step explanation:

:D

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!

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:

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.