Which range best describes the possible number of cells in one organism , from the very smallest organism to the very largest ?

Answer:

Scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Formula for the dilation to be used,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{A'B'}{AB}[/tex]

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

Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].

Answer:

okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144

Step-by-step explanation:

Answer:

y = 44x + 184

Step-by-step explanation:

y = mx + b

-8 = 44(-4) +b

-8 = -176 + b

176 + 8 = b

184 = b

Answer:

∠x = 32°

∠y = 58°

∠z = 32°

Step-by-step explanation:

∠x = 180° - 148° = 32°  

∠z = 32° because it is vertical to ∠X (32°)

∠y = 90° - 32° = 58°

Answer:

You need a protractor

Step-by-step explanation:

to measure the angles

Answer:

2x/5 <14

Step-by-step explanation:

Answer:

a. Unikely

b. Likely

c. Equally likely

d. Unlikely

e. Equally likely

f. Equally likely

g. Unlikely

h. Likely

i. No SPINNER SHOWN?

j. NO SPINNER SHOWN?

Step-by-step explanation:

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

Answer:

Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answer:

bottom half

bottom- 3 x 12.5 = 37.5

front side- 3 x 4 = 12

back side- 12

left side- 4 x 12.5 = 50

right side- 50

total: 161.5

top half

front triangle- (3x4)/2 = 6

back triangle- 6

left side- 4 x 12.5 = 50

right side- 50

total: 112

161.5 + 112 = 273.5

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

Answer:

I believe it is 3

Step-by-step explanation:

Answer:

the answer is 3 brainlest plz

Step-by-step explanation:

Answer:

0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.

Step-by-step explanation:

To solve this question, we use the normal approximation to the binomial distribution.

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]

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].

According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71.

This means that [tex]p = 0.71[/tex]

Sample of 100:

This means that [tex]n = 100[/tex]

Mean

[tex]\mu = E(X) = np = 100*0.71 = 71[/tex]

Standard deviation:

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.71*0.29} = 4.5376[/tex]

What represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?

This is, using continuity correction, [tex]P(X \leq 65 - 0.5) = P(X \leq 64.5)[/tex], which is the pvalue of Z when X = 64.5. So

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

[tex]Z = \frac{64.5 - 71}{4.5376}[/tex]

[tex]Z = -1.43[/tex]

[tex]Z = -1.43[/tex] has a pvalue of 0.0764

0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.

Answer:

a,b,c,d and e

Step-by-step explanation:

a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry

thus meaning that the answers are a , b , c, d and e

9514 1404 393

Answer:

  b = 32

Step-by-step explanation:

The law of sines tells you ...

  b = a·sin(B)/sin(A)

  b = 14·sin(75°)/sin(25°) ≈ 31.998

  b ≈ 32 . . . . units

Answer:

What you should do in this case is to use the following trinonometric relationship:

senx = C.O / h

Where

C.O: Opposite leg.

h: hypotenuse.

Substituting:

senx = (7) / (9)

Clearing x:

x = ASIN ((7) / (9))

x = 51.05755873

Answer:

The value of x is

x = 51 degrees.

Step-by-step explanation:

Answer:

$456.45 should be budgeted.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean $440 and standard deviation $10.

This means that [tex]\mu = 440, \sigma = 10[/tex]

How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?

This is x for which

P(X > x) = 0.05

So this is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.

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

[tex]1.645 = \frac{X - 440}{10}[/tex]

[tex]X - 440 = 10*1.645[/tex]

[tex]X = 456.45[/tex]

$456.45 should be budgeted.

Answer:

[tex] \huge \boxed{ \boxed{t - 3.5 = 5}}[/tex]

Step-by-step explanation:

a apple costs 1.75

2 apple costs 1.75×2=3.5

let her total money be t

according to the question

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

Answer:

24

Step-by-step explanation:

Let x be the number.

[tex]x/4=6[/tex]

Multiply both sides by 4 to isolate x

[tex](x/4)4=6*4\\x=24[/tex]

I hope this helps!

Answer:

The answer is 45

Step-by-step explanation:

35+10=45

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

Answer:

the 15 multi pack

Step-by-step explanation:

Answer

37 ,123.52

Explanation

the image above, hope it helps

Answer:

J = 2

Step-by-step explanation:

Volume formula: V = whl (width)(hight)(lenght)

solve for J (width)

Rearrange the formula:

w = V/lh

60/5 x 6 = 2

Answer:

168 ways

Step-by-step explanation:

Given

[tex]Junior = 7[/tex]

[tex]Senior = 3[/tex]

Required

Number of ways 3 project can be assigned

Starting with the second project.

This can be assigned to only senior coders

So:

[tex]n_1 = 3[/tex]

Then, the third project.

This can be assigned to only junior coders

So:

[tex]n_2 = 7[/tex]

At this point, we are left with 2 senior coders and 6 junior coders

Since the first can be assigned to anybody.

[tex]n_3 =2+ 6[/tex]

[tex]n_3 =8[/tex]

The number of selection is then calculated as:

[tex]n = n_1 * n_2 * n_3[/tex]

[tex]n = 3 * 7 * 8[/tex]

[tex]n = 168[/tex]