Please Someone help do not understand it ASAP

10..................

Answer:

19.8%

Step-by-step explanation:

We have the following formula for continuous compound interest:

A = P * e ^ (i * t)

Where:

A is the final value

P is the initial investment

i is the interest rate in decimal

t is time.

The time can be calculated as follows:

25 - 18 = 7

That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:

20000 = 5000 * e ^ (7 * i)

20000/5000 = e ^ (7 * i)

e ^ (7 * i) = 4

ln e ^ (7 * i) = ln 4

7 * i = ln 4

i = (ln 4) / 7

i = 0.198

Which means that the rounded percentage will be 19.8% per year

The rate of growth needed to achieve this goal is 22%

A compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.

Given that A = 20000, P = 5000, t = 7 (25 - 18). hence:

[tex]20000=5000(1+\frac{r}{1} )^{7*1}\\\\4=(1+r )^{7}\\\\\\ln(4)=7\ ln(1+r)\\\\r=0.22[/tex]

Therefore the rate of growth needed to achieve this goal is 22%

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Answer:

is this correct? hope it works

Answer:

The difference of a number and 4 is 11

=> That number is 11 + 4 = 15  

The quotient of a number and 13 is 78

=> The number is 13 x 78 = 1014

6.5 more than a number is 19.1

=> The number is 19.1 - 6.5 = 12.6

Hope this helps!

:)

Answer:

Each cat eats a tin each day. It means 2 tins are required each day for both the cats. So, for 14 days, they will need 28 tins.

Sue has bought just 8 tins, which is not enough

To get the volume, you need the area of the sides of the square.

The total surface area is 96, with 6 sides. To get the surface area of just one side, divide 96 by 6, which gets you 16. The surface area of a single square is 16. To get one side of the square, divide that by 4 because there are 4 sides.

Now, multiply 16 by 4 to get the volume.

The volume is 64 cubed milllimeters.

brainlieest?

Also i hope this helped

Answer:

Check Below.

Step-by-step explanation:

In  Probability/ Statistics in simple terms it is a variable which possess the following characteristics within a sample space: 1) Their values are defined within the set of Real Numbers, i.e. it is a Quantitative variable. 2) It is possible to calculate its probability.

Answer:

A point would be used as the undefined term

Answer:

700.4 cm

Step-by-step explanation:

This involves two similar triangles.

Both triangles are right triangles.

One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.

(1 cm)^2 + (30 cm)^2 = c^2

c^2 = 901 cm^2

c = sqrt(901) cm

The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.

(30 cm)/(700 cm) = [sqrt(901) cm]/x

3/70 = sqrt(901) cm/x

3x = 70 * sqrt(901) cm

x = 70 * sqrt(901) cm/3

x = 700.4 cm

Answer: 700.4 cm

The length of drainpipe is 700.4 cm.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

One has legs measuring 1 cm and 30 cm.

Using Pythagorean theorem.

(1 cm)² + (30 cm)² = c²

c² = 901

c =√901 cm

Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.

(30 cm)/(700 cm) = [√(901) cm]/x

3/70 = √(901) cm/x

3x = 70 x √(901) cm

x = 700.4 cm

Learn more about Pythagoras theorem here:

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Answer:

There is not enough evidence to support the claim that your team scored an average significantly less than 110 points.

Step-by-step explanation:

The question is incomplete:

There is no data from the sample.

We will use the sample [105 107 117 106 110 ] as an example to solve the question.

The mean of the sample is:

[tex]M=\dfrac{1}{5}\sum_{i=1}^{5}(105+107+117+106+110)\\\\\\ M=\dfrac{545}{5}=109[/tex]

The standard deviation of the sample is:

[tex]s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{5}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}\cdot [(105-(109))^2+(107-(109))^2+(117-(109))^2+(106-(109))^2+(110-(109))^2]}\\\\\\ s=\sqrt{\dfrac{1}{4}\cdot [(16)+(4)+(64)+(9)+(1)]}\\\\\\ s=\sqrt{\dfrac{94}{4}}=\sqrt{23.5}\\\\\\s=4.848[/tex]

This is a hypothesis test for the population mean.

The claim is that your team scored an average significantly less than 110 points.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=110\\\\H_a:\mu< 110[/tex]

The significance level is 0.01.

The sample has a size n=5.

The sample mean is M=109.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=4.848.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{4.848}{\sqrt{5}}=2.17[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{109-110}{2.17}=\dfrac{-1}{2.17}=-0.46[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=5-1=4[/tex]

This test is a left-tailed test, with 4 degrees of freedom and t=-0.46, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-0.46)=0.334[/tex]

As the P-value (0.334) is bigger than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that your team scored an average significantly less than 110 points.

Answer:

C

Step-by-step explanation:

[tex]x=2+\sqrt{x-2} \\\\x-2=\sqrt{x-2} \\\\(x-2)^2=\pm(x-2) \\\\x^2-4x+4=\pm(x-2) \\\\[/tex]

[tex]x^2-5x+6=0[/tex] OR [tex]x^2+3x+2=0[/tex]

x=2 and 3

Hope this helps!

Answer:

The answer is option 3.

Step-by-step explanation:

Firstly, we have to move the unrelated term to the other side :

[tex]x = 2 + \sqrt{x - 2} [/tex]

[tex]x - 2 = \sqrt{x - 2} [/tex]

Then, you have to get rid of square root by squaring both sides :

[tex] {(x - 2)}^{2} = {( \sqrt{x - 2} )}^{2} [/tex]

[tex] {x}^{2} - 4x + 2 = x - 2[/tex]

[tex] {x}^{2} - 4x + 4 - x + 2 = 0[/tex]

[tex] {x}^{2} - 5x + 6 = 0[/tex]

Next, you have to solve it :

[tex] {x}^{2} - 5x + 6 = 0[/tex]

[tex] {x}^{2} - 2x - 3x + 6 = 0[/tex]

[tex]x(x - 2) - 3(x - 2) = 0[/tex]

[tex](x - 2)(x - 3) = 0[/tex]

[tex]x - 2 = 0 \\ x = 2[/tex]

[tex]x - 3 = 0 \\ x = 3[/tex]

Answer:

3ft

Step-by-step explanation:

volume = l*w*h

To solve use what you know.

11.08 ft^3 = 2.5 ft * 1.3 ft * X ft

2.5 ft *1.3 ft =3.5 ft^2

11.08ft^3 / 3.5ft^2 = 3.409 ft

nearest whole number is 3 ft

8 * 10^3 is larger than 4 * 10^2

10*10*10 = 1000 * 8 = 8000

10*10= 100 * 4 = 400

Answer:

9/15

16/25

3/4

5/6

Step-by-step explanation:

Convert them to decimals then order them

Answer:

16/25, 9/15, 5/6, 3/4

Step-by-step explanation:

16/25

9/15

5/6

3/4

Answer:

A. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

The data surveyed is the exact mass, in grams, of food eaten by each person each day.

This type of data is continous, not discrete. The mass can take any value within the domain of positive real numbers. It represents a physic variable, and they are always continous.

Answer:

10 gallons

Step-by-step explanation:

Amy​'s car's maximum capacity to hold gas = 19 gallons

present amount of gas  = 9 gallons

As the car's capacity is 19 gallons and present amount in tank is 9 gallons, so we can fill it as much as so that the amount in tank becomes 19 gallons.

let assume she fills x gallons

then x gallons and 9 gallons present earlier should be equal to 19 gallon, as the tank can not hold more than that.

lets write it mathematically

x + 9 = 19

subtracting 9 from both side

x + 9 - 9 = 19 - 9

=> x = 10

Thus, 10 gallons of gas is needed to fill the gas tank.

Answer:

[tex]\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295[/tex]

Now we can calculate the degrees of freedom for the statistic given by:

[tex]df=(categories-1)=4-1=3[/tex]

And we can calculate the p value given by:

[tex]p_v = P(\chi^2_{3} >18.295)=0.00038[/tex]

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference of birthdates distributed throughout the​ year

H1: There is a difference between birthdates distributed throughout the​ year

The level of significance assumed for this case is [tex]\alpha=0.05[/tex]

The statistic to check the hypothesis is given by:

[tex]\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}[/tex]

The table given represent the observed values, we just need to calculate the expected values with the following formula [tex]E_i = \frac{total}{4}[/tex]

And replacing we got:

[tex]E_{1} =\frac{67+56+30+37}{4}=47.5[/tex]

And now we can calculate the statistic:

[tex]\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295[/tex]

Now we can calculate the degrees of freedom for the statistic given by:

[tex]df=(categories-1)=4-1=3[/tex]

And we can calculate the p value given by:

[tex]p_v = P(\chi^2_{3} >18.295)=0.00038[/tex]

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Answer:

a) A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.

b) Null hypothesis:[tex]\mu \leq 40[/tex]  

Alternative hypothesis:[tex]\mu > 40[/tex]  

c) [tex]t=\frac{45.6-40}{\frac{14.6}{\sqrt{893}}}=11.46[/tex]    

The p value for this case would be:

[tex] p_v = P(t_{110} >11.46) \approx =0[/tex]

d) Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.

Step-by-step explanation:

Information provided

[tex]\bar X=45.6[/tex] represent the sample mean

[tex]s=14.6[/tex] represent the sample standard deviation

[tex]n=893[/tex] sample size  

[tex]\mu_o =40[/tex] represent the value to verify

t would represent the statistic  

[tex]p_v[/tex] represent the p value

a. Identify the relevant and parameter variable. Choose the correct relevant variable below.

A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.

b. State the null and alternative hypotheses. State the null hypothesis.

We want to verify if the population mean is higher than 40, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 40[/tex]  

Alternative hypothesis:[tex]\mu > 40[/tex]  

c. Calculate the statistic

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{45.6-40}{\frac{14.6}{\sqrt{893}}}=11.46[/tex]    

The p value for this case would be:

[tex] p_v = P(t_{110} >11.46) \approx =0[/tex]

d. Conclusion

Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.

Answer:

[tex]z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652[/tex]  

The p value would be given by:

[tex]p_v =P(z<-0.654)=0.257[/tex]  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Step-by-step explanation:

Information given

n=145 represent the random sample taken

X=89 represent the number  of people who believed the supermarket brand was as good as the national brand

[tex]\hat p=\frac{89}{145}=0.614[/tex] estimated proportion of people who believed the supermarket brand was as good as the national brand

[tex]p_o=0.64[/tex] is the value to test

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true proportion is less than 0.64, the system of hypothesis are.:  

Null hypothesis:[tex]p \geq 0.64[/tex]  

Alternative hypothesis:[tex]p < 0.64[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info we got:

[tex]z=\frac{0.614 -0.64}{\sqrt{\frac{0.64(1-0.64)}{145}}}=-0.652[/tex]  

The p value would be given by:

[tex]p_v =P(z<-0.654)=0.257[/tex]  

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance

Answer:

The farmer has 4 cows and 15 chickens.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of cows

y is the number of chickens.

A farmer has a total of 21 cows and chickens altogether

This means that x + y = 21.

The animals have 54 legs

A cow has four legs, while a chicken has 2 legs. So

4x + 2y = 54.

From the first equation:

y = 21 - x

Replacing

4x + 2(21 - x) = 54

4x + 42 - 2x = 54

2x = 12

x = 6

y = 21 - x = 21 - 6 = 15

The farmer has 4 cows and 15 chickens.

Answer:

Answer is given below with explanations.

Step-by-step explanation:

Given that triangle ABC is similar to triangle PQR

Then

THEN THE CORRECT OPTIONS ARE

OPTION D) AND

OPTION E)

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

(16)^-1 or (4)^-2

Step-by-step explanation:

(-1/4)^2, we can convert this to (1/16), which is (16)^-1 or (4)^-2.

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{1}{4} ^{2}[/tex]

[tex]\frac{-1^{2} }{4^{2} }[/tex]

[tex]=\frac{1}{16}[/tex]

Answer:

40.192

Step-by-step explanation:

C=D(pi)

D=6.2*2

C=12.8*3.12

C=40.192

Answer:40.192

Step-by-step explanation:the formula for a circumference if a circle is C=2•3.14•r^2 fill in for r and calculate for your answer

Answer:

Step-by-step explanation:

There are two ways to do this.

1. You could make an accurate diagram and measure R. This works but the computer won't like it. However you will know if you are correct. An answer ± 2 degrees would tell you that you are likely correct.

2. The second way is to find <C. Similarity guarantees that <C and <R are equal. The adjacent side to angle C is the second longest line. The second longest line in PQR is the adjacent side of <R.

Naturally we will use the second method, but you ought to try the first method. It's cumbersome but it will teach you how to read the values of triangles to make clear the trig functions.

Tan(C) = opposite over adjacent

Tan(C) = 7 /  9

Tan(C) = .77777777...

<C = tan-1(0.7777777...)

<C = 37.87

<C = 37.9

Answer:

This can be done in 240 ways.

Step-by-step explanation:

Number of arrangments:

The possible number of arrangments of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

7 people(camp counselor and six campers).

Camp counselor in the middle.

Camper who start food fights either to his left or to his right. For each of these cases, the other 5 campers are arranged in 5 positions. Then

How many ways:

[tex]T = 2A_{5} = 2*(5!) = 240[/tex]

This can be done in 240 ways.

Answer:

Answer for (a) to (e) = 0.32

Calculate the ratio to the nearest hundredth.

Find the Ratio of Diameter (d) and circumference (C)

Step by step explanation:

In order to determine the ratio we must know the formula for the circumference of a circle. Then relate it to the diameter.

But since we have been the value if both circumference and diameter, we would just calculate the ratio.

Circumference of a circle = 2πr

Where d = diameter = 2r

Circumference = πd

a) d = 20 in.

C = 62.83 in.

Ratio of Diameter (d) and circumference (C) = d:C

= 20/(62.83)

d:C = 0.32

b) d=10 in.

C =31.41 in.

d:C = 10/(31.41)

d:C = 0.32

c) d =6 in.

C =18.84 in.

d:C = 6/(18.84)

d:C = 0.32

d) d= 2 in.

C = 6.28 in.

d:C = 2/6.28

d:C = 0.32

e) d = 1 in.

C = 3.14 in.

d:C = 1/3.14

d:C = 0.32

The above answers indicate that the ratio of a circumference of a circle to its diameter = d/C = d/(π×d)

= 1/π = 0.32

Answer: 30, 60 and 80

Step-by-step explanation:

measures 80,40, and 60. And sets of angles such as 20, 120, and 40 will make two different triangles.

To try three measures that dont add up to 180 will never make a triangle.

One of them can be 30, 60, 80

Answer:

P(a)= Your desired outcome / The number of real outcomes.

Step-by-step explanation:

Ex. Probability model for rolling a 1 on a 6 sided die -  

1 (desired outcome) / 6 (Number of real outcomes)

Let me know if you need more help!

Answer:

probability (x ≤2) = 0.64

Step-by-step explanation:

P(2 or fewer) = probability of 2 or fewer

probability of (2 or fewer) = probability (x ≤2)

probability of (2 or fewer) = probability when x is 0 + probability when x is 1 + probability when x is 2

probability of (2 or fewer) = probability (x =0) + probability of (x =1 ) + probability (x= 2)

probability of (x=0) = 0.09​

probability of (x=1) = 0.26​ ​

probability of (x =2) = 0.29

probability of (2 or fewer) = 0.09​ + 0.26​ + 0.29​ = 0.64

probability (2 or fewer) = probability (x ≤2) = 0.64

Answer:

[tex] P(X \leq 2)= P(X=0) +P(X=1)+P(X=2)[/tex]

And replacing we got:

[tex] P(X \leq 2)= 0.09 +0.26+0.29 = 0.64[/tex]

And the probability that X would be 2 or lower is 0.64

Step-by-step explanation:

For this case we have the following probability distribution:

x         0       1       2       3         4      5

P(x) 0.09 0.26  0.29  0.20  0.09  0.07

And we want to find the following probability:

[tex] P(X \leq 2)[/tex]

And we can find the probability like this:

[tex] P(X \leq 2)= P(X=0) +P(X=1)+P(X=2)[/tex]

And replacing we got:

[tex] P(X \leq 2)= 0.09 +0.26+0.29 = 0.64[/tex]

And the probability that X would be 2 or lower is 0.64