Nikki grows 20 tomato plants.
She measures their heights to the nearest centimeter and writes them down.
15 14 12 17 18
11 16 14 21 19
10 16 16 13 17
9 15 20 19 9
Complete the frequency table.

Answer:

x = 7.2

y = 10

z = 6

Step-by-step explanation:

Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:

JK/AB = KL/BC = LM/CD = JM/AD

Substitute

12/x = y/6 = 15/9 = 10/z

✔️Find x:

12/x = 15/9

12/x = 5/3

Cross multiply

x*5 = 3*12

5x = 36

x = 36/5

x = 7.2

✔️Find y:

y/6 = 15/9

y/6 = 5/3

Cross multiply

y*3 = 5*6

3y = 30

y = 30/3

y = 10

✔️Find z:

15/9 = 10/z

5/3 = 10/z

Cross multiply

5*z = 10*3

5z = 30

z = 30/5

z = 6

Answer:

2

Step-by-step explanation:

-(-2)

negative x negative always give positive .

=>2

You can easily represent 2 on number line

Answer:

Critical point is at (-1, 2) because it is the point where the slope is approximately zero.

Step-by-step explanation:

A critical point in a graph like this is simply the point where the slope is zero or undefined.

Looking at the graph given, the point at which the graph slope is zero is around the coordinate (-1, 2).

So we estimate that to be the critical point.

Answer:

1

Step-by-step explanation:

Computing Tv(X, X + a ) for any a∈(0,1)

Given that :  X∼Ber(0.5)

∴ The probability mass function

    P(X = 1 ) = 0.5

    P(X = 0) = ( 1 - 0.5 )

and expectation  E[X] = 0.5

hence ; TV ( X, X + a ) = 1

Answer:

The inverse is -3 ±sqrt(5x+7/2)

Step-by-step explanation:

5y+4=(x+3)^2+1/2?

To find the inverse, exchange x and y

5x+4=(y+3)^2+1/2​

Solve for y

Subtract 1/2

5x+4 -1/2=(y+3)^2+1/2​-1/2

5x+8/2 -1/2=(y+3)^2+1/2​-1/2

5x+7/2 = (y+3)^2​

Take the square root of each side

±sqrt(5x+7/2) =sqrt( (y+3)^2​)

±sqrt(5x+7/2) = (y+3)

Subtract 3 from each side​

-3 ±sqrt(5x+7/2) = y+3-3

-3 ±sqrt(5x+7/2) = y

The inverse is -3 ±sqrt(5x+7/2)

Answer:

2.1

Step-by-step explanation:

Given :

3m-4.2 where, m=2.1

Now,

3(2.1)-4.2

6.3-4.2

2.1

Answer is 2.1

Answer:

40

Step-by-step explanation:

As the lawn size increases by 4 the weight increases by 8

Answer:

x = 1 , y = - 1 , z = 2

Step-by-step explanation:

[tex]\begin{pmatrix}1&1&-1&-2\\ 2&-1&3&9\\ 1&-1&-2&1\end{pmatrix}\\\\\\= \begin{pmatrix}2&-1&3&9\\ 1&1&-1&-2\\ 1&-1&-2&1\end{pmatrix}[/tex]                          [tex][ \ swap \ R_1 \ and \ R_2 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 1&-4&-2&1\end{pmatrix}[/tex]                        [tex][ \ R_2 = R_2 - \frac{1}{2} R_1 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\end{pmatrix}[/tex]                        [tex][ \ R_3 = R_3 - \frac{1}{2} R_1 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\end{pmatrix}[/tex]                      [tex][ \ swap \ R_2 \ and \ R_3 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&0&-4&-8\end{pmatrix}[/tex]                        [tex][ \ R_3 = R_3 + \frac{3}{7}R_2 \ ][/tex]

Therefore,

           [tex]-4z = - 8\\\\z = 2[/tex]

        [tex]-\frac{7}{2} y - \frac{7}{2}z = -\frac{7}{2}\\\\y + z = 1\\\\y + 2 = 1 \\\\y = 1 - 2 = - 1[/tex]

      [tex]2x - 1y + 3z = 9\\\\2x -1(-1) + 3(2) = 9\\\\2x + 1 + 6 = 9\\\\2x = 9 - 7\\\\2x = 2 \\\\x = 1[/tex]

Answer:

Step-by-step explanation:

Area stage = 1/2 h (ab +cd)

Area = 5(14+22)

meeting center Area = 180

room = 25*32 = 800

800-180 = 620 tile

620*$4.90 = $3038

So no not enough money....

Note: even if it was $2999 it still would not be enough because

you have to cut tiles to fit in corners and edges... Just having fun with that comment, the math problems sometimes don't take reality into account (ha ha ha)

Answer:

12

Step-by-step explanation:

The ratio is 9:30

So for 40 people , it would be ?:40

Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas

Answer:

12 i think

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Interest amount paid on loan = $90

Principal value, amount borrowed = $500

Period, t = 16 days

The equivalent annual interest :

Using the simple interest formula :

simple interest = principal * rate * time

Using, days of year = 365

Plugging in the values into the formula :

90 = 500 * rate * (16/365)

90 = 500 * rate * 0.0438356

90 = 21.917808 * rate

Rate = 90 / 21.917808

Rate = 4.10 = 4.10 * 100% = 410%

If days of year = 360 is used :

90 = 500 * rate * (16/360)

Rate = 90 / 22.222

Rate = 4.05 = 4.105 * 100% = 405%

You can get the tens digit of any number n by computing the quotient

(n (mod 100)) / 10

and ignoring the remainder.

Taking the given sum (mod 100) gives

7! + 8! + … + 2006! ≡ 7! + 8! + 9! (mod 100)

since the last 1997 terms (i.e. 10! up to 2006!) in the sum are multiples of 100. That is,

• every term beyond 100! is obviously a multiple of 100

• every term beyond 25! contains a factor of both 4 and 25

• every term beyond 10! contains two factors each of both 2 and 5 (i.e. every factorial term contains 4, 5, and 10)

The remaining sum is easy to compute by hand:

7! + 8! + 9! = 7! (1 + 8 + 8 × 9) = 5040 × 81 = 408,240

so the tens digit is 4.

Answer:

Step-by-step explanation:

In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:

2y = 3x + 1 in slope-intercept form is

[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] .  Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):

[tex]y-2=-\frac{2}{3}(x-3)[/tex] and

[tex]y-2=-\frac{2}{3}x+2[/tex]  so

[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.

Answer:

?

Step-by-step explanation:

i think ljhh ako naiintindihan

[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]

Optoion C. Categorial data set is the right answer of the question given.

RaonbowSalt2222

Step-by-step explanation:

20% of the length is 23 cm

100% of the length is 23×5 = 115 cm

Answer:

the correct answer is 10

Answer: 28

Step-by-step explanation: ADB = 1/2 ACB

Answer: 1.345714286

Step-by-step explanation:

This is the full answer, if you want to round it up. Then your welcome to do so.

Answer:

His mark, as a percentage, was of 40%.

Step-by-step explanation:

Mark as a percentage:

His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.

In this problem:

60 questions correct out of 150. So

60*100%/150 = 40%

His mark, as a percentage, was of 40%.

Answer:

one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

4x - 3x = 7 + 20

x = 27

Answer:

1 solution

Step-by-step explanation:

x = 27

distribution of 4 into x and -5

4x-20 = 3x +7

-3x+20=-3x+20

x = 27

Answer:

1.75  hours

Step-by-step explanation:

time =  distance / speed

Kin

t = 180 / 90 = 2 hours

Ayaan

t = 180 / 720 = 0.25 hours

Difference

2 - 0.25 = 1.75  hours

Answer:

1.75

Step-by-step explanation:

Answer:

= 3.6

Step-by-step explanation:

Do you know how to find the volume of a cylinder? Like any prism, it's area of base x height, in this case the base is a circle of radius 1.2m.

Density is simply mass / volume (kg / m3 ).

clarify its 1.2 x 3 = 3.6

12400 / 3.6 = 3.444 occuring

Answer:

25 is A and 26 is B

Step-by-step explanation:

25) a²+b²=c²

missing side can be=b

to find the missing side subtract 6.7² from 12.6²

b²=12.6²-6.7²

b²=158.76-44.89

the square root of b²= the square root of 113.87

b=10.67

the missing side is equal to 10.7(1d.p)

26) a²+b²=c²

c= hypotenuse

10.8²+11²=c²

116.64+121=c²

c²=237.64

the square root of c²= the square root of 237.64

c=15.42(2d.p)

the hypotenuse is=15.4

The places that I have "the square root of" you must replace it with the square root sign. I'm using my phone so I wasn't sure how to insert a square root sign.

Answer: 4125

Step-by-step explanation:

S.I = P X R /100 X T

S.I = 110000 x 5/100 x 9/12 = 4125

= 4125

Answer:

Jhhhuujjjjhfuudjdjdjdjdirr

9514 1404 393

Answer:

  b. x = π/2, x = 3π/2

Step-by-step explanation:

The maximum is found where the argument of the cosine function is a multiple of 2π.

  2x -π = 2nπ

  2x = (2n+1)π . . . . . . . add π

  x = (2n+1) · π/2 . . . . . divide by 2

  x = {π/2, 3π/2}

Answer: 0.738

Step-by-step explanation:

11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value that was expected?

p0 = 428/(428 + 152) = 0.737931

If you round your answer of 0.737931 to three decimals you will

get 0.738.