A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.​

Answer:

Percentage of bid.

Step-by-step explanation:

The auction price is the initial start of bidding. This price is set for the thing which are placed under auction and below that auction price the trade cannot take place. This is usually considered as a starting point and then bidders start to quote their bid for the auctioned. The final price is determined when the bidders quotes the highest possible price after which no one else quotes any other bid. The auction is then closed and the bidders gains the auctioned things.

Answer:

Number 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we are not told what to look for, we can as well look for the number of adults and children tickets sold.

Let x be the number of adult's tickets sold

Let y be the number of children tickets sold.

Let the total amount of tickets sold be 400, then;

x+y = 400....... 1

If she sells adults' tickets for $8 each and children's tickets at $3 each and she needs to bring in a total revenue of $1400, then the equation can be modelled as:

8x+3y = 1400......… 2

Solve equation 1 and 2 simultaneously.

Multiply equation 1 by 3 and 2 by 1:

3x+3y = 1200

8x+3y = 1400

Subtract

3x-8x = 1200-1400

-5x = -200

x = 200/5

x = 40

Substitute x= 40 into equation 1

x+y = 400

40+y = 400

y = 400-40

y = 360

This means that 40 adults tickets were sold and 360 children tickets were sold

Note that the total tickets was assumed.

Step-by-step explanation:

10%

Answer:

5

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So it's actually simple you take what you know...

24.75 = amount of meter contained in a roll of cotton

9.85 = amount of meter sold

Then you subtract them to get....

24.75 - 9.85 = 14.90

Answer:

The population will reach 980,000 in 26 years approximately.

Step-by-step explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when  will the population reach 980,000

Formula : [tex]N(t)=N_0(1+r)^t[/tex]

N(t)= population after t years

[tex]N_0=[/tex] Initial population

t - time

r = rate of interest in decimals

So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]

t=25.55

So, the population will reach 980,000 in 26 years approximately.

Answer:

A) Upper limit = 7.39

Lower limit = 6.37

Margin of error = 0.51

B)Sample size = 87

C) Upper limit = 2218.50

Lower limit = 1909.50

Margin of error = 154.50

Step-by-step explanation:

We are given;

x¯ = $6.88 per 100 pounds

σ = $1.98 per 100 pounds

n = 45

A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 1.98)/√40

MOE ≈ 0.51

Confidence interval is;

CI = x¯ ± MOE

CI = 6.88 ± 0.51

CI = ((6.88 + 0.51), (6.88 - 0.51))

CI = (7.39, 6.37)

Upper limit = 7.39

Lower limit = 6.37

B) We are given E = 0.35

Thus;

E = zσ/√n

Rearranging, we have;

n = (zσ/E)²

n = (1.645 × 1.98/0.35)²

n ≈ 87

Sample size = 87

C)We are told that the farm brings 15 tons of watermelon to market.

Also, 1 ton = 2000 pounds

Thus;

15 tons = 15 × 2000 pounds = 30000 pounds

Now this is per 100 pounds.

Thus, we can write as: 30000/100 = 300 pounds

So;

x¯ = 300 × 6.88

x¯ = 2064

σ = 1.98 × 300

σ = 594

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 594)/√40

MOE ≈ 154.50

Confidence interval is;

CI = x¯ ± MOE

CI = 2064 ± 154.50

CI = (2064 + 154.50, 2064 - 154.50)

CI = (2218.5, 1909.5)

Upper limit = 2218.50

Lower limit = 1909.50

Answer:

She has 4 extra phone lines

Step-by-step explanation:

85 + 7.5p = 115

115-85 = 30

7.5p ÷ 7.5

30 ÷ 7.5

p = 4

Answer:

The number of fast songs is 64 and the number of slow songs is 32

Step-by-step explanation:

∵ Y represents the number of fast songs

∵ x represents the number of slow dance songs

∵ John gets to play a total of 96 songs at his school dance

→ That means the sum of x and y is 96

∴ x + y = 96 ⇒ (1)

∵ He wants twice as many fast songs, ​y, as ​ slow dance songs, ​x

→ That means y is twice x

∴ y = 2x ⇒ (2)

→ Substitute y in equation (1) by equation (2)

∵ x + 2x = 96

∴ 3x = 96

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{96}{3}[/tex]

∴ x = 32

→ Substitute the value of x in equation (2) to find the value of y

∵ y = 2(32)

∴ y = 64

∴ The number of fast songs is 64 and the number of slow songs is 32

Answer:

72w+36

Step-by-step explanation:

Answer:

28.3

Step-by-step explanation:

A=3.14*3*3=28.27433 rounded to 28.3

Answer:

C

Step-by-step explanation:

it is C because 8*60=480 minutes

so 480min/25min=19.20 round=19

25(19)-45=430<480 which is true

where as if you use 19 for p it wouln't be true

Answer:

The entrance fee to the paintball park is $15

Each purchase of 15 paintballs costs $9

Step-by-step explanation:

We are given the expression [tex] 0.60n + 15 [/tex] as the total cost in dollars that a player pays when he plays paintball in the course.

Where,

n = number of paintballs a player uses

$0.60 = cost per paintball

$15 = entrance fee charged to for using the course

Completing the statement given in the question becomes now easy and clear.

We already know that the entrance fee is $15, which is the starting cost.

The cost for our each purchase of 15 paintballs is expressed as = cost per paintball × number of paintballs

= 0.60n

= 0.60 × 15 = $9

Answer:

Entrance Fee = $15

15 point balls cost = $9

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

-3+(-1)+(-5)+(-2)

-3+(-1)=(-4)

-4+(-5)=(-9)

-9+(-2)=(-11)

(-11)

HOPE THIS HELPS!!

Answer:

[tex]L = (-10,10)[/tex]

Step-by-step explanation:

Given

[tex]K = (2,-6)[/tex]

[tex]T = (-4,2)[/tex]

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

[tex]T_x = \frac{K_x + L_x}{2}[/tex]

and

[tex]T_y = \frac{K_y + L_y}{2}[/tex]

Solving for [tex]L_x[/tex]

[tex]T_x = \frac{K_x + L_x}{2}[/tex]

[tex]-4 = \frac{2 + L_x}{2}[/tex]

Multiply through by 2

[tex]-8 = 2 + L_x[/tex]

[tex]L_x = -8 - 2[/tex]

[tex]L_x = -10[/tex]

Solving for [tex]L_y[/tex]

[tex]T_y = \frac{K_y + L_y}{2}[/tex]

[tex]2 = \frac{-6+L_y}{2}[/tex]

Multiply through by 2

[tex]4 = -6 + L_y[/tex]

[tex]L_y = 4 + 6[/tex]

[tex]L_y = 10[/tex]

Hence: The coordinates of L is:

[tex]L = (-10,10)[/tex]

Answer:

-0.25 or 1/4

Step-by-step explanation:

Eh just know

Answer:

15;30

Step-by-step explanation:

Answer:

603.44

Step-by-step explanation:

solution,

radius=4 inches

height=12 inches

volume=?

we know,

volume of cylinder = πr^2h

=22/7×(4)^2×12

=22/7×16×12

=603.44 inches^3#

The volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cylinder whose radius of 4 inches and a height of 12

Radius r = 4 inches

Height h =12 inches

Volume=πr²h

Now plug in the values.

Volume=3.14×4²×12

=3.14×16×12

=602.88 cubic inches

Hence,  the volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.

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Answer:

13a + 9b + 11

Step-by-step explanation:

I hope this helps!

Answer:

13a+ 9b+ 11

Step-by-step explanation:

9a+4a= 13a

4b+ 5b= 9b

4+7=11

Answer: [tex]y=\dfrac{5}{5-6x}[/tex]

Step-by-step explanation:

The given differential equation: [tex]xy' + y = y^2[/tex]

[tex]\Rightarrow\ xy'=y^2-y[/tex]

[tex]\Rightarrow\ \frac{1}{y^2-y}y'\:=\frac{1}{x}\\\\\Rightarrow\ \dfrac{1}{y(y-1)}\dfrac{dy}{dx}=\frac{1}{x}\\\\\Rightarrow\dfrac{y-(y-1)}{y(y-1)}dy=\dfrac{1}{x}dx\\\\\Rightarrow\dfrac{1}{(y-1)}dy+\dfrac{1}{y}dy=\dfrac{1}{x}dx[/tex]

Integrate both sides , we get

[tex]\int\dfrac{1}{(y-1)}dy+\int\dfrac{1}{y}dy=\dfrac{1}{x}dx\\\\\Rightarrow\ \ln(y-1)-\ln y=\ln x+c\ \ \ \ (i)[/tex]

At x=1 , y=-5 (given)

[tex]\ln(-5-1)-\ln -5=\ln 1+c\\\\\Rightarrow\ \ln (-6)-\ln(-5)=0+c\\\\\Rightarrow\ \ln(\dfrac{-6}{-5})=c\\\\\Rightarrow\ \ln(\dfrac{6}{5})=c[/tex]

[tex][\ \ln a+\ln b=\ln ab ,\ \ \ \ \ \ln a-\ln b=\ln\dfrac{a}{b}\ ][/tex]

Put value of x in (i), we get

[tex]\ln(y-1)-\ln y=\ln x+\ln (\dfrac65)\\\\\Rigtarrow\ \ln (\dfrac{y-1}{y})=\ln(\dfrac{6}{5}x)[/tex]

[tex]\Rightarrow\ 1-\dfrac{1}{y}=\dfrac{6}{5}x\Rightarrow\ \dfrac{1}{y}=1-\dfrac{6}{5}x\\\\\Rightarrow\ \dfrac{1}{y}=\dfrac{5-6x}{5}\\\\\Rightarrow\ y=\dfrac{5}{5-6x}[/tex]

hence, the required solution: [tex]y=\dfrac{5}{5-6x}[/tex]

The solution to the differential equation

[tex]xy'+y=y^2[/tex]

given the initial condition [tex]y(1)=-5[/tex]  is [tex]y=\frac{5}{5-6x}[/tex]

Given the differential equation

[tex]xy'+y=y^2[/tex]

We can rearrange it as follows:

[tex]x\frac{dy}{dx}+y=y^2\\\\x\frac{dy}{dx}=y^2-y\\\\\frac{1}{y^2-y}\frac{dy}{dx}=\frac{1}{x}\\\\\frac{1}{y^2-y}dy=\frac{1}{x}dx[/tex]

Factoring the denominators of the LHS, and decomposing into partial fractions, we get

[tex]\frac{1}{y(y-1)}dy \implies \frac{1}{(y-1)}dy+\frac{1}{y}dy[/tex]

The final rearranged equation is

[tex]\frac{1}{(y-1)}dy+\frac{1}{y}dy=\frac{1}{x}dx[/tex]

Integrating both sides;

[tex]\int\frac{1}{y-1} dy +\int\frac{1}{y}dy=\int\frac{1}{x}dx\\\\ln(y-1)-ln(y)=ln(x)+c\\\\ln(\frac{y-1}{y})=ln(x)+c[/tex]

(We made of a law of logarithms on the last line to simplify the equation)

The initial condition [tex]y(1)=-5\implies y=-5 \text{ when }x=1[/tex]

Substituting into the general solution we got earlier

[tex]ln(\frac{y-1}{y})=ln(x)+c\\\\ln(\frac{-5-1}{-5})=ln(1)+c\\\\ln(\frac{-6}{-5})=ln(1)+c \\\\(\text{since }ln(1)=0)\\\\ln(\frac{-6}{-5})=c\\\\ln(\frac{6}{5})=c[/tex]

Substituting the value of [tex]c[/tex] back into the general solution

[tex]ln(\frac{y-1}{y})=ln(x)+c\\\\ln(\frac{y-1}{y})=ln(x)+ln(\frac{6}{5})\\\\ln(\frac{y-1}{y})=ln(\frac{6x}{5})\\\\\frac{y-1}{y}=\frac{6x}{5}[/tex]

When [tex]y[/tex] is made the subject of the formula

[tex]y=\frac{5}{5-6x}[/tex]

Therefore, the solution that satisfies the initial condition [tex]y(1)=-5[/tex] is [tex]y=\frac{5}{5-6x}[/tex]

Learn more about solving differential equations here: https://brainly.com/question/4537000

Answer: 18900

Step-by-step explanation:

Given the question:

In 2001, the Guinness Book of World Records recognized a breakfast which served 18,941 people as the largest ever cooked. Which number below shows 18,941 rounded to 3 significant digits?

18,941 rounded to 3 significant figures

To round to 3 significant figures, the first 3 numbers are kept intact, then the subsequent number is rounded up to 1 if up to or greater than 5 and added to the third figure. If less than 5, all subsequent numbers are rounded down to 0

Hence,

18,941 = 18900 (because 4 is less than 5, 4 and all subsequent numbers are rounded down to 0).

Answer:

0.25feet

Step-by-step explanation:

The equation is not well written. Let the equation of the height be modelled as;

h = -16d²+8d+4

The velocity of the ball is zero at its maximum height.

Velocity = change in displacement/time

v = dh/dd

Differentiate

v = -32d+8

Since dh/dd = v = 0

0 = -32d+8

Add 32d to both sides

0+32d = 8

32d = 8

Divide both sides by 32

32d/32 = 8/32

d = 1/4

d = 0.25feet

Hence the maximum height of the tennis ball is 0.25feet

Note that the modeled equation was assumed. You can apply the same calculation to any equation given

Answer:

Quadrant IV

Step-by-step explanation:

Answer:

quadrant lll

Why because

quadrant l would be soemthing like (-2,5)

quadrant ll would be (2,5)

quadrant lll would be( -2,-5)

and Quadrant llll would be (2,-5)

Answer:

The point estimated is 0.260

Step-by-step explanation:

The computation is shown below:

Sample in which the people have diabetes = 52

Random sample = 200

Significance level = 5%

Based on this, the, estimation point is

= Sample in which the people have diabetes ÷ Random sample

= 52 ÷ 200

= 0.260

hence, the point estimated is 0.260

We simply applied the above formula

And, the same is to be considered

The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.

Given :

Hypothesis are as follows:

Null hypothesis,  [tex]\rm H_0: p\leq 0.231[/tex]

Alternate hypothesis,  [tex]\rm H_a : p>0.231[/tex]

Now, performing the test of the hypothesis. The critical value z is given by:

[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]    ----- (1)

Now, the value of [tex]\hat {p}[/tex] is given by:

[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]

Now, put the values of known terms in equation (1).

[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]

[tex]z = \dfrac{0.029}{0.0298}[/tex]

z = 0.973

Therefore, the null hypothesis is accepted.

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hello

the question is incomplete, but based on directives from brainly i did an online search and i was able to get the complete question.

Researchers studying anthropometry collected body girth measurements

and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically

active individuals. The histogram below shows the sample distribution of heights in centimeters(a) What is the point estimate for the average height of active individuals? What about the  median?

(b) What is the point estimate for the standard deviation of the heights of active individuals?

What about the IQR?

(c) Is a person who is 1m 80cm (180 cm) tall considered unusually tall? And is a person who is  1m 55cm (155cm) considered unusually short? Explain your reasoning.

(d) The researchers take another random sample of physically active individuals. Would you

expect the mean and the standard deviation of this new sample to be the ones given above.

Explain your reasoning.

(e) The samples means obtained are point estimates for the mean height of all active individuals,

if the sample of individuals is equivalent to a simple random sample. What measure do we use  to quantify the variability of such an estimate? Compute this quantity using the data from  the original sample under the condition that the data are a simple random sample

Step-by-step explanation:

1. the point estimate for the average height is the mean = 171.1

the median of active individuals is 170.3

2. point estimate of sd = 9.4

to get IQR

[tex]Q3-Q1[/tex]

= 177.8 -163.8

= 14

3. mean +- SD

171.1 +-2(9.4)

171.1+18.8  = 189.9

171.1-18.8 = 152.3

[189.9, 152.3]

180CM is within the limits of 2SD. so a height of 180cm is not unusually tall

155 cm is within the 2sd limit so this height is not unusually short

4.

mean and sd are not same. a great probability exists that a different sample would have similar but different results if the same sample size is 507.

5.

[tex]9.4/sqrt507[/tex]

= 0.417

≈ 0.42

Answer:

x= 18

y= 54

Step-by-step explanation:

(Sorry if i'm too late)

Okay lets do this!

We will start with X:

If AOD is equal to COB, then we can do 90-72 to find AON

18 +2x= 3x

18 = x (wow that was simple :))

x= 18

Lets try  Y now

If AB is a straight line, then 72 +y +3x is 180

so 72 + y + 3( 18) = 180

72 + y + 54 = 180

y = 54

We should check our work now:

2(18)+ 18 + 72 + 54 + 3 (18) + 126 = 360 !!!

Yayyyyy

So this should be correct

Please tell me if this is wrong :)))

Answer:

32/3

Step-by-step explanation:

Complete Question

The  complete question is shown on the first uploaded image

Answer:

a

[tex]\^ p_1 =  0.8102 [/tex]

b

[tex]\^ p_2 =  0.6904 [/tex]

c

[tex]\^ p_3 =  0.3701 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  743

    The number that said social media makes them feel more connected  to what is going on in their friends' lives is  k =  602

   The number that said social  media helps them interact with a more diverse group of people is  y =  513

   The  number that said feel pressure to post content that will get a lot of likes and comments is  c  =  275

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as

        [tex]\^ p_1 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_1 =  \frac{602}{743 }[/tex]\

=>      [tex]\^ p_1 =  0.8102 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media helps them interact with a more diverse group of people is mathematically represented as

        [tex]\^ p_2 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_2 =  \frac{513}{743 }[/tex]\

=>      [tex]\^ p_2 =  0.6904 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17   who feel pressure to post content that will get a lot of likes and comments is mathematically represented as

        [tex]\^ p_3 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_3 =  \frac{275}{743 }[/tex]

=>      [tex]\^ p_3 =  0.3701 [/tex]

The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.

The point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:

= Number of teens / Sample size

= 602/743

=™0.8102

The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:

= 513/743

= 0.6904

The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:

= 275/743

= 0.3701

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