A greenhouse contained both 6-inch high geraniums and 3 inch high geraniums. The 6-inch high geraniums were taken out of the greenhouse in early spring and grew at a rate of 1 inch per week. The 3 inch high geraniums remained in the greenhouse and grew at a rate of 1 (1/2) inches per week. After the 6-inch high geraniums were taken outside, in how many weeks were both groups of geraniums the same height.

Answer:quadratic formula

Step-by-step explanation:

Answer:

Completing the square.

Step-by-step explanation:

x^2-8x+(-4)^2=22 can be rewritten as (x-4)^2=22. therefore, the best method would be completing the square.

Answer:

P(either almond or cashew) = ⅔

Step-by-step explanation:

We are told that the bag contains a mixture of almonds walnuts and cashews of equal number.

Since the 3 nuts are equal in number, they will have a ratio of 1:1:1.

So, when a nut is chosen randomly,

Probability of choosing almond = 1/3

Probability of choosing cashew = 1/3

Thus,

Probability of choosing either almond or cashew in a random selection will be the sum of their individual probability.

So,

P(either almond or cashew) = ⅓ + ⅓ = ⅔

The answer is [tex]y^{4+6}[/tex] = [tex]y^{10}[/tex]

Answer:

-4, 1

Step-by-step explanation:

A (-4, 1)

reflected over y-axis –> (4, 1)

reflected over x-axis –> (4, -1)

rotated 180º –> (-4, 1)

Answer:

3053.63 cu. inches

Step-by-step explanation

Volume = 4/3 pi r^3

Answer:

[tex]v \: \: ≈

3053.62 {in}^{3}

[/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \pi \times {9}^{3} \\ ≈

3053.62806

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A. 2/300=1/150

B.1/315,000

Step-by-step explanation:

B. 1/150*2100=1/315000

Answer:

Step-by-step explanation:

Answer:

x = 9  or  x = -9

Step-by-step explanation:

x² - 4 = 77

then

x² - 4 + 4 = 77 + 4

then

x²  = 81

then

x² - 81 = 0

then

x² - 9² = 0

then

(x - 9)(x + 9) = 0

then

x - 9 = 0  or  x + 9 = 0

then

x = 9  or  x = -9

__________________________

:)

Answer:

its true

Step-by-step explanation:

Answer:

(5+7x)^2

Step-by-step explanation:

25+70x+49x^2

This is a perfect square trinomial

a^2 +2ab + b^2 = (a+b)^2

5^2 *2*5*7x+ (7x)^2 = (5+7x)^2

Answer:

factored is (x+1)(x+5)

Step-by-step explanation:

gradpoint

Answer:

Nancy's ambient locality might be having more suppliers, higher supply of Gasoline

Step-by-step explanation:

National average price of gasoline = $3.14

Stations near Nancy's home have an average price = $2.95

Gasoline price near Nancy's house is lesser than national average price level. Number of gasoline stations near her house might be more. It implies increase in its supply. This leads to competition among sellers & reduces the price level.

Answer:

Experimental.

Step-by-step explanation:

It is an independent measure design. Multiple experimental groups are used in an independent measures design, which is a research method and participants are only in one group. Each participant is only in one condition of the independent variable during the experiment.

Step 1

Find the rate change at which the crickets are chirping.

Step 2

Find the function

Answer:

56

Step-by-step explanation:

If you could give me a thanks, that would be much appreciated.

Answer:

the equation used to determine the number of dimes in his pocket is an "algebraic equation" (3/4)x = 5.25

and the value of x = 7

Step-by-step explanation:

We are being told that:

Alex has 3 more quarters than dimes in his pocket, for a total of $5.25.

Let the value for the dimes in his pocket be x:

So he has 3 more quaters than x

We know that a quarter is 1/4

3 more quaters than x = (3/4) x

(3/4)x = 5.25

3x = 5.25 * 4

3x = 21

x = 21/3

x = 7

Thus, the equation used to determine the number of dimes in his pocket is an "algebraic equation" (3/4)x = 5.25

and the value of x = 7

Step-by-step explanation:

sec(2x) − tan(2x)

Write in terms of sine and cosine:

1/cos(2x) − sin(2x)/cos(2x)

(1 − sin(2x)) / cos(2x)

Use double angle formulas:

[ 1 − 2 tan x / (1 + tan²x) ] / [ (1 − tan²x) / (1 + tan²x) ]

Multiply by reciprocal:

[ 1 − 2 tan x / (1 + tan²x) ] × [ (1 + tan²x) / (1 − tan²x) ]

Distribute 1 + tan²x:

(1 + tan²x − 2 tan x) / (1 − tan²x)

Factor:

(1 − tan x)² / ((1 − tan x) (1 + tan x))

Simplify:

(1 − tan x) / (1 + tan x)

Rewrite using 1 = tan(45°):

(tan(45°) − tan x) / (tan(45°) + tan x)

Use angle difference formula:

tan(45° − x)

Answer:

[tex]8+i[/tex]

Step-by-step explanation:

We are given that an expression

[tex]6i^4+6i^3-2i^2+\sqrt{-49}[/tex]

We have to rewrite in the form of a+bi

[tex]6(i^2)^2+6i^3-2i^2+\sqrt{-49}[/tex]

We know that

[tex]i^2=-1[/tex]

[tex]i^3=-i[/tex]

[tex]\sqrt{-1}=i[/tex]

Using the identity

Then, we get

[tex]6-6i-2(-1)+7i[/tex]

[tex](6+2)+(7-6)i[/tex]

[tex]8+i[/tex]

This is required form of a+ib

Answer:

5,10,15,20,25,30,25,40,45,50,55,

Step-by-step explanation:

Answer:

The volume of the cup is of 142.2 cubic centimeters.

Step-by-step explanation:

The cone volume is given by the following equation:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]

In which r is the radius, which is half the diameter, and h is the height.

In this question:

Dimensions in cm, so the volume will be in cubic centimers.

Height of 10 cm, so [tex]h = 10[/tex]

Diameter of [tex]7 + \frac{3}{8} = \frac{7*8 + 3}{8} = \frac{59}{8} = 7.375[/tex]

So the radius is [tex]r = \frac{7.375}{2} = 3.6875[/tex]

Volume of the cup:

[tex]V = \frac{\pi*(3.6875)^{2}*10}{3} = 142.4[/tex]

The volume of the cup is of 142.2 cubic centimeters.

Answer: 9.5 (D.)

Step-by-step explanation:

SOCAHTOA

the sin of an angle is equal to the opposite side over the hypotenuse.

angle: 32

opposite side: x

hypotenuse: 18 m

1. sin32 = x/18

2. 18(sin32) = x

3. 9.5 = x

if you are confused with how it went from 18(sin32) to 9.5, you can plug 18(sin32) into your calculator.

Answer:

83.9357% increase for the buyer

Step-by-step explanation:

Answer:

It is 18

Step-by-step explanation:

Hope this helps have a wonderful day

The possible outcomes of ordering be 18.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Drink = 3 choice

Entree= 3 choices

Dessert = 2 choice

So, Using tree method

drink              1                                      2                            3

Entree         1      2      3                   1      2      3                 1      2     3  

Dessert    1  2   1  2   1  2              1  2  1  2  1  2              1  2  1  2  1  2

So, the possible outcomes of ordering be 18.

Learn more about combination here:

https://brainly.com/question/26852614

#SPJ2

Answer:

1/18

Step-by-step explanation:

There are 36 different possible combinations. There are only two ways of rolling a sum of 11.

2/36 = 1/18

Answer:

The appropiate constraint is:

[tex]2X_1+3X_2\leq10,000[/tex]

Step-by-step explanation:

There is only one restriction in this problem, and that is the available units of recycled paper per month.

There is a total of 10,000 units.

Regular paper (X1) uses 2 units per unit of production and Super-soaker (X2) uses 3 units per unit of production.

The total units used for both types of paper are:

[tex]2X_1+3X_2[/tex]

This amount has to be equal or smaller than the available (10,000 units):

[tex]2X_1+3X_2\leq10,000[/tex]

The appropriate constraint/s for the units of production being made by XYZ Inc is;

2X₁ + 3X₂ ≤ 10000

We are told that;

X₁ is the number of units of regular produced per month

X₂ the number of units of super-soaker produced per month.

we are told that;

Regular uses 2 units of recycled paper per unit of production. This is 2X₁

Also, we are told that super-soaker uses 3 units of recycled paper per unit of production. This is 3X₂.

We are now told that The total amount of recycled paper available per month is 10,000.

This means that;

2X₁ + 3X₂ ≤ 10000

The symbol less than or equal to is used because it is not possible for the 10000 to be exceeded as that is the amount available and also it's possible less than the 10000 may be used.

Read more at;https://brainly.com/question/24279865

Answer:

Step-by-step explanation:

Hello!

For this study adult subjects were randomly assigned to three different exercise treatments establishing three different groups:

Group 1: Single long exercise period five days per week

Group 2: Several 10' exercise periods five days per week

Group 3: Several 10' exercise periods five days per week using a home treadmill

All subjects were weighed before and after 6 months of training and their weight loss was determined.

The objective of this study is to determine if there is any difference between the treatments, meaning, if the weight loss is the same regarding the type of exercise or if the type of exercise has some influence over it.

To test this you have to conduct an ANOVA, with the hypothesis:

H₀: μ₁= μ₂= μ₃

H₁: At least one μi differs from the others. ∀ i=1, 2, 3

α: 0.05

The statistic is:

[tex]F= \frac{MS_{Tr}}{MS_{Er}} ~~F_{k-1; n-k}[/tex]

Normally it is better to have the raw data to conduct the analysis using statistical software, but it is not impossible to calculate the statistic using the descriptive statistics for each group.

As you know the statistic is calculated as the ratio between the mean square of the treatments (between groups) and the mean squares of errors.

Each means square is calculated as the sum of squares by the degrees of freedom of the category: SS/Df

So first you need to determine the SS and Df of treatments and errors, then the MS and finally the value of F.

Treatments:

> The degrees of freedom between treatments are k-1 (k represents the number of treatments):

DfTr: 3-1= 2

>The sum of squares is:

SSTr: ∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= grand mean is the mean that results of all the groups together.

So the Sum of squares of treatments (SSTr) is the sum of the square of the difference between the sample mean of each group and the grand mean.

To calculate the grand mean you can sum the means of each group and dive it by the number of groups:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ k = (10.2+9.3+10.2)/3= 29.7/3= 9.9

SSTr= (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (10.2 - 9.9)² + (9.3 - 9.9)² + (10.2 - 9.9)²= 0.54

> The Means Squares is:

MSTr= SSTr/DFTr= 0.54/2= 0.27

Errors

>Degrees of freedom of error DfEr= N-k Where N is the total of observations of the experiment (N= n₁+n₂+n₃) and k is the number of treatments.

DfEr= N-k= 30-3= 27

>The mean square error (MSEr) is the estimation of the variance error (σ[tex]_{e}^2[/tex] → S[tex]_{e}^2[/tex]), you have to use the following formula:

[tex]S_{e}^2= \frac{(n_1-1)S^2_1+(n_2-1)S_2^2+(n_3-1)S^2_3}{N-k}= \frac{(9*17.64)+(9*20.25)+(9*27.04)}{27}= \frac{584.37}{27}= 21.643[/tex]

Finally you calculate the statistic:

[tex]F_{H_0}= \frac{MS_{Tr}}{MS_{Er}}= \frac{0.27}{21.643}= 0.012[/tex]

This test is One-tailed right, meaning that you'll reject to high values of the statistic and there is one critical value:

[tex]F_{k-1;N-k;1-\alpha }= F_{2;27;0.95}= 3.35[/tex]

Using the critical value approach, the decision rule is:

If [tex]F_{H_0}[/tex] ≥ 3.35, reject the null hypothesis.

If [tex]F_{H_0}[/tex] < 3.35, do not reject the null hypothesis.

The calculated value is less than the critical value, the decision is to not reject the null hypothesis.

So at a 5% significance level, there is not enough evidence to conclude that the treatments influence significantly in weight loss. The population mean weight loss is the same for the treatments "Single long exercise period five days per week", "Several 10' exercise periods five days per week" and "Several 10' exercise periods five days per week using a home treadmill"

I hope this helps!

Answer:

The correct option is C

Step-by-step explanation:

ANOVA is the correct option because it can be used to carry out comparison of average of more than  two groups  

Answer:

c=15

Step-by-step explanation:

45=3c,divide

c=15

Answer:

Given:

n = 1003

[tex] p' = \frac{462}{1003} = 0.4606 [/tex]

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: [tex] p' = \frac{x}{n} [/tex]

Therefore, sample proportion =

[tex] p' = \frac{462}{1003} = 0.4606 [/tex]

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

[tex]p=\dfrac{x}{n}=\dfrac{462}{1003}=0.46[/tex]

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.46*0.54}{1003}}\\\\\\ \sigma_p=\sqrt{0.00025}=0.0157[/tex]

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.96 \cdot 0.0157=0.031[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.46-0.031=0.429\\\\UL=p+z \cdot \sigma_p = 0.46+0.031=0.491[/tex]

The 95% confidence interval for the population proportion is (0.429, 0.491).

We have 95% that the population proportion is within this interval

Answer:

0.2

Step-by-step explanation:

total = 1.0

strawberry = 0.8

1-0.8 =0.2

Answer:

0.2 is the probability of orange sweet.