In snapdragons, variation in flower colori determined by a single gene (Hartl and Jones 2005). RR individuals are red, Rr (heterozy- gous) individuals are pink, and rr individuals are white. In a cross between heterozygous individuals, the expected ratio of red- flowered:pink-flowered:white-flowered off- spring is 1:2:1.
a. The results of such a cross were 10 red-, 21 pink-, and 9 white-flowered offspring. Do these results differ significantly (at a 5% level) from the expected frequencies?
b. In another, larger experiment, you count 100 times as many flowers as in the experiment in part (a) and get 1000 red, 2100 pink, and 900 white. Do these results differ significantly from the expected 1:2:1 ratio?
c. Do the proportions observed in the two experiments [i.e., in parts (a) and (b)] differ? Did the results of the two hypothesis tests differ? Why or why not?

Answer:

Applied the definition and the limit.

They had the same result, so the function is continuous.

Step-by-step explanation:

At function f(x) is continuous at x = a if:

[tex]\lim_{x \to a} f(x) = f(a)[/tex]

In this question:

[tex]f(x) = x^{2} + 5(x-2)^{7}[/tex]

At x = 3.

[tex]\lim_{x \to 3} x^{2} + 5(x-2)^{7} = 3^{2} + 5(3-2)^{7} = 14[/tex]

[tex]f(3) = 3^{2} + 5(3-2)^{7} = 14[/tex]

Since [tex]\lim_{x \to 3} f(x) = f(3)[/tex], f(x) is continuous at x = 3.

The mean of a set of numbers is the sum divided by the number of terms.

Answer: 22.9

Answer:

YOU ADD AND DIVIDE FOR THE MEAN

Step-by-step explanation:

add 20 + 20 + 20 + 22 + 22 + 24 + 26 + 26 + 26 equaling to = 206

divide by 9 equaling to = 22.88

Answer:

£576

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

8 * 60 * 3/5 + 12 * 60 * 2/5

Answer:

x + 61 = 411

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

Answer:

X+8/100x ; X+0.08x

Step-by-step explanation:

Let x = last month's earning

8% =8/100 or 0.08

8/100 of x= 8/100x 008 of x=0.08x

last month + 8/100 of last month:

x+8/100x

last month + 0.08 of last month:

x+0.08x

Those are your two answers. I am sorry if they are wrong. I am not the best at math, but I tried supplying the answers as best as I could.

Answer:

117 yards

Step-by-step explanation:

A field is in the shape of a rectangle

The distance from one corner of the field to the opposite corner represent the diagonal of a rectangle

The diagonal of a rectangle is calculated using

D^2= l^2 + w^2

Where,

D=diagonal

L=length=100 yards

W=width=60 yards

D^2= l^2 + w^2

=100^2+60^2

=10,000+3,600

=13,600

D^2=13,600

D=√13,600

=116.62 yards

Approximately

117 yards

Answer:

177 yeard d

Step-by-step explanation:

the approximate distance is 177 yeard

Answer:Monthly payment is $682.06

Step-by-step explanation:

Answer:

The formula to calculate the final cost:

C = 130000 x (1  + (4.8/100)/12)^(30 x 12) = 547116.69

Minimum payment each month:

M = 547116.69/(30 x 12) = 1519.77

Interest they have to pay: 547116.69 - 130000 = 417116.69 dollar

Hope this helps!

:)

Answer:

28 MEN

Step-by-step explanation:

X + X-3=59

2X-3=59

2X=62

X=31

MEN=31-3=28

Answer:

a^b/a^c = a^b-c

9^7/9^5=9^7-5

=9^2 ( ANSWER )

Step-by-step explanation:

please mark me BRAINLIEST

Answer:

500

Step-by-step explanation:

percentage is the quantitative way to express number of things out of 100 things.

For example : 20% of bananas are ripe.

it means that if there are 100 apples, 20 are ripe.

Let the  total number of cupcakes sold that day be X

20% of total number of cupcakes sold = 20% of X = (20/100) * X __1

It is given that 20% of total number of cupcakes sold is equal to 100

Thus the equation 1 should be equal to 100.

Writing it mathematically we have

(20/100) * X = 100

=> 0.2X = 100

=> X = 100/0.2 = 500

500  cupcakes did the bakery sell that day.

Answer:

Area of one side of mini DVD = 15π or 47.12 cm²

Step-by-step explanation:

The radius of the mini DVD is;r = 4cm.

Area of a circle = πr²

Thus, Area of mini DVD = π × 4² = 16π

Now,we are told the mini DVD has a hole with a radius of 1 cm.

Area of hole = π × 1² = π

To find the area of one side of the mini DVD, we have to subtract the area of the hole from the area of the DVD.

Thus;

Area of one side of mini DVD = 16π - π

= 15π = 47.12 cm²

Answer:

Shown in the explanation below,

Step-by-step explanation

Mary had 1 3/4 pounds

Mary friend eat 3/4 blackberry which is

3/4. × 7/4 = 21/ 16 = 1 5/16

Answer:

you add up all of the items and then divide by the total number of items.

Step-by-step explanation:

For example,

Total/Number of Items = Average

Set: 1,6,4,5

(1+6+4+5)/4

16/4 = 4

4 is the average of the items above.

Good luck!!

Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Hope this helps.

Answer:

deportation

Step-by-step explanation:

deport raj

Answer:

  -7

Step-by-step explanation:

l = kh . . . . . l is proportional to h with proportionality constant k

112 = k·(-16) . . . . . .  use the given numbers

k = -112/16 = -7  . . . divide by the coefficient of k

The constant of proportionality is -7.

Answer:

49

Step-by-step explanation:

x^2-14x+c

Take the coefficient of x

-14

Divide by 2

-14/2 = -7

Square it

(-7)^2

49

This is the number you add

Answer:

factorials

Step-by-step explanation:

0!=1,1!=1,2!=2,3!=6,4!=24,5!=120,6!=720,...

sequence is n! starting at 0

Answer:

a

Step-by-step explanation:

just keep the miles on bottom and the inches on top

Answer:

Caroline gets £12

Step-by-step explanation:

Let Caroline share be x

Let Sarah share be y

Let gavyn share be z

X = 2y

Y = 3z

X+ y + z = 20

X = 6z

Y = 3z

6z + 3z +z = 20

10z= 20

Z= 2

Y = 3z

Y= 3*2

Y= 6

X= 6z

X= 6*2

X= 12

Caroline gets £12

Answer:

15 students

Step-by-step explanation:

% of students attended reunion in 2005 = 87.5% of 120

no of students attended reunion in 2005 = 87.5/100  * 120 = 105.

no of students attended reunion in 2006 = 90

no of students attended reunion in 2007 = 75

So , the series for the given year is

105, 90, 75

we can see that this arithmetical progression series

in  arithmetical progression series

common difference is = nth term - (n-1)th term

lets takes 3rd and second term as  nth term and (n-1)th term

common difference(d) is =75 - 90 = -15

n th term for any arithmetical progression series is given by

nth term = a + (n-1) d

where a is the first term

n is the nth term

d is the common difference

we have to calculate number of students in reunion of of 2010

as reunion began from 2005

2005,2006,2007,2008,2009,2010

so, 2010 is 6th term in series of 105, 90, 75....

6th term =  a + (n-1) d

a is 90

6th term =  90+ (6-1)* -15

6th term =  90+ (5)* -15 = 90 - 75 = 15.

Thus, 15 students will attend reunion of 2010

Answer:

12/25

Step-by-step explanation:

multiply the fractions.

multiply the numbers.

Answer:

[tex] \mu -2\sigma = 915.428 - 2* 22.87=869.69[/tex]

[tex] \mu +2\sigma = 915.428 + 2* 22.87=961.17[/tex]

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

Step-by-step explanation:

We can assume that the variable of interst X is distributed with a binomial distribution and we can use the normal approximation.

For this case the mean would be given by:

[tex] E(X) = np = 2136 *(\frac{3}{7})= 915.428[/tex]

And the standard deviation would be:

[tex] \sigma = \sqrt{2136*(\frac{3}{7}) (1-\frac{3}{7})} =22.87[/tex]

And if we find the limits we got:

[tex] \mu -2\sigma = 915.428 - 2* 22.87=869.69[/tex]

[tex] \mu +2\sigma = 915.428 + 2* 22.87=961.17[/tex]

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

Answer:

6

Step-by-step explanation:

Since the x coordinates are the same, you only need to find the difference between the y coordinates. -2-(-8)=-2+8=6. Hope this helps!

Answer:

775 ml

Step-by-step explanation:

Answer:

775

Step-by-step explanation:

25 plus 50 equals 75.700 plus 75= 775 ml.

Answer:

d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Step-by-step explanation:

Problems of normally distributed samples are 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.

If the z-score is higher than 2 or lower than -2, X is unusual.

In this question:

Mean = 40%. So [tex]\mu = 0.4[/tex]

Standard error = 5%. So [tex]\sigma = 0.05[/tex]

Is 46% unusual?

We have to find Z when X = 0.46. So

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

[tex]Z = \frac{0.46 - 0.4}{0.05}[/tex]

[tex]Z = 1.2[/tex]

1.2 is lower than 2, that is, it is only 1.2 standard deviations from the mean.  So 46% is not unusual.

So the correct answer is:

d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Answer: your answer would be 5/16th :)

Answer:

5/16

Step-by-step explanation:

The common ratio is -5/2 / 5 = -1/2

Xn = 5 × (-1/2)^(n-1)

X5 = 5 × (-1/2)^(5-1)

X5 = 5 × (-1/2)^(4) = 5/16

Answer:

w = 7u/6

u = 6w/7

m = 2n/-9

n = -9m/2

Step-by-step explanation:

4u + 8w = -3u + 2w

4u - 4u +8w = -3u - 4u +2w

8w -2w = -7u + 2w - 2w

6w = -7u

w = 7u/6

u = 6w/7

AND

-2m - 5n = 7m - 3n

-2m -7m -5n = 7m -7m -3n

-9m -5n +5n = -3n +5n

-9m = 2n

m = 2n/-9

n = -9m/2

Answer: 18 cm

Step-by-step explanation:

Length means the same thing as “long” so whatever the length is, that’s how long it is. In this case, 18 cm is the length, so that’s how long it is.