Share 55 mangoes, in the ratio 4:7

Answer:

d = -1.1

Step-by-step explanation:

Solving

❖ Step 1: Combine like terms.

❖ Step 2: Subtract 66 from both sides.

❖ Step 3: Divide both sides by 52.8.

Therefore, d ≈ -1.1.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

15000 pay on the ship for me

Answer:

<3

Step-by-step explanation:

Answer:

not sure

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

\(a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5\)

The 8th term of the geometric sequence is 4374.

Step-by-step explanation:

The 8th term of the geometric sequence is

We know the formula to find the nth term of a GP is

t = ar^{n-1}...(i)

where t=> term to find out

a=> first term of the GP

r=> the common ratio of the Gp

to find common ratio, divide a term with its previous term

Now, according to question:

a = 2

n=8

d= second term / first term = 6/2 = 3

therefore, putting values in equation i,

t= 2*3^(8-1)

 = 2*3^7

 = 2*2187 = 4374

Thus 8th term of the geometric sequence is 4374.

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Mean of the sample is 6 and standard deviation of the sample is 2.258

number of volunteers per day = 40

so n=40

sample proportion is a random variable that varies from sample to sample in ways that are impossible to predict in advance.

sample proportion(p) = 15 %= 15 /100 =0.15

 so p= 0.15

and hence q= 1 - p= 0.85

formula of mean = n * sample proportion =  np.

mean of sample = np = 40 *0.15 =6

 so mean = 6

so standard deviation or SD =  \(\sqrt{p * q * n}\)

standard deviation = \(\sqrt{p*q*n}\)

=> √(40 × 0.15 × 0.85)

=> √5.1

so standard deviation = 2.258

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Answer:

64/9

Step-by-step explanation:

First convert 2 2/3 into a mixed number --> 8/3

8/3 ÷ 3/ 8 =

8/3 × 8/3 = 64/9

Answer:

2 2/3 divided by 3/8 is 64/9 or 7.1111 repeating

Step-by-step explanation:

first change 2 2/3 into an improper fraction which becomes 8/3.

your equation is now (8/3) / (3/8)

then use division rules (keep change and flip)

your new equation is (8/3) x (8/3)

solve it and your answer is 64/9

The equation x + 4 = -2 + x has no solution for x

From the question, we have the following parameters that can be used in our computation:

x + 4 = -2 + x

Subtract x from both sides of the equation

so, we have the following representation

x - x + 4 = -2 + x - x

When the like terms of the equation are evaluated, we have

4 = -2

The above equation is false

This is because 4 and -2 do not have the same value

Hence, the equation has no solution

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we are 90% confident that the mean penguin height lies in the range:

14.99 and 15.81

A popular deviation (or σ) is a degree of the way dispersed the facts is on the subject of the imply. Low popular deviation way facts are clustered across the imply, and excessive popular deviation shows facts are greater unfold out. What is the usual deviation example? Consider the facts set: 2, 1, 3, 2, four.

The imply and the sum of squares of deviations of the observations from the imply could be 2.four and 5.2, respectively. Thus, the usual deviation could be √(5.2/5) = 1.01. Standard deviation tells you ways unfold out the facts is. It is a degree of the way some distance every determined fee is from the imply. In any distribution, approximately 95% of values could be inside 2 popular deviations of the imply.

Given sample  mean=x=15.4 kg

sample standard deviation=s=2.5 kg

sample size=n=100 penguins

z multiplier for 90 CI is 1.645

90% CI for population mean is given by:

\(X+Z_{\frac{\alpha }{2} } * \frac{Z}{\sqrt[]{N} }\)

15.4 (±)1.645(2.5)/sqrt(100)

15.4(±)1.645(2.5)/10

15.4  (±)  0.41125

15.4-.41125<μ<15.4+.41125

14.98875<μ<15.81125

we  are 90% confident that the mean penguin height lies in the range

14.99 and 15.81

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The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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Equation c=0.48p is used find the cost is $0.48 times the number of pounds of bananas and graph is given in attachment.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that Bananas cost $0.48 per pound.

Since each pound costs $0.85, the cost of one pound is $0.48,

the cost of two pounds is twice that at $0.96

The equation c=0.48p is used find the cost is $0.48 times the number of pounds of bananas.

Hence,  equation c=0.48p is used find the cost is $0.48 times the number of pounds of bananas and graph is given in attachment.

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Answer:

Volume = 2,143.57 mm³

Step-by-step explanation:

Given:

radius (r) = 8 mm

π = 3.14

Required:

Volume of the sphere

Solution:

Volume of the sphere = ⁴/3πr³

Plug in the values

Volume = ⁴/3 × 3.14 × 8³

= ⁴/3 × 3.14 × 512

= 6,430.72/3

Volume = 2,143.57333

Volume = 2,143.57 mm³ (nearest hundredth)

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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Answer:

A and C.

Step-by-step explanation:

Because 6x45=270. And if you look at the problem, 6x(40+5). Of course, you do the parentheses first. So 40+5= 45. Then 6x45. And once again, you get 270. Then for C, 6x40= 240. And, 6x5= 30. Then, add. 240+30= 270.

Answer:   y - 1 = –(x –7)

or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

Step-by-step explanation:

y = 2x + 9

y = -x - 3

there are multiple ways to solve this.

let's follow the approach that both x-expressions must be equal :

2x +9 = -x - 3

3x = -12

x = -4

y = -x - 3 = 4 - 3 = 1

Answer:

15

Step-by-step explanation:

5g

g becomes 3, so 5*3

=15

Answer:

15

Step-by-step explanation:

5g g=3

5(3)

15

The expression in simplest form that represents the

total amount that Andrew spent would be = $8d

The simple forms of representation of expression shows that all the values of that expression are in its simplest form.

In Andrew cans of ping pong balls,

Last week he bought = 4 cans

This week he bought = 2 cans

The cost of ping pong balls = d dollars per

can..

The total amount that Andrew spent would be;

= d × ( 4+2)

= $8d

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Equations -

\( - 6p = 48\)

Divide -6p using inverse operations!

\(\frac{ - 6p}{ - 6} = p\)

\( \frac{48}{ - 6} = - 8\)

\(p = - 8\)

\( - 8 \times - 6 = 48\)

The present age of George is 25 years and the present age of Harry is 17 years

For given question,

Let x be the age of George and y be the age of Harry.

George is now 8 years older than harry.

So, we get an equation,

x = y + 8                      ...................(1)

After 5 years the age of George will be x + 5 and the age of Harry will be    y + 5

Two years ago the age of Harry = y - 2

In 5 years George will be twice as Harry was 2 years ago.

So we get an equation,

x + 5 = 2(y - 2)                ..............(2)

Substitute the value of x in equation (2)

⇒ x + 5 = 2(y - 2)  

⇒ y + 8 + 5 = 2y - 4

⇒ y + 13 = 2y - 4

⇒ y = 17

Substitute the above value of y in equation (1)

⇒ x = 17 + 8

⇒ x = 25

Therefore, the present age of George is 25 years and the present age of Harry is 17 years

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The probability that at least one of the cards drawn is a 3 is 1/5 0r 0.2000.

What is probability?

Probability shows the likelihood of an event happening.  It can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1

Probability P=no. outcomes/total no. of the possible outcomes

From the question;

No. of total no of cards =5

The probability the card drawn is a 3  =1/5

                                                             =0.2000

Therefore the probability that at least one of the cards drawn is a 3 is 1/5 0r 0.2000.                      

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Answer:

1,620π in³

Step-by-step explanation:

The volume of a cylinder can be found with the following formula;

V = πr²h

    [] Basically, the area of the circle-shape times the height.

We can plug-in our values, plug-in x, and then solve for V.

V = πr²h

V = π(4x - 6)²(11x + 12)

V = π(4(3) - 6)²(11(3) + 12)

V = π(12 - 6)²(33 + 12)

V = π(12 - 6)²(33 + 12)

V = π(6)²(45)

V ≈ 5089.38 in³

Since it is asking for in terms of pi, the answer will be 1,620π in³

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer: 12-pound bag of cat food

Step-by-step explanation:

12 pounds bag of cat food = $18

15 pounds bag of cat food = $24

Let's find the cost per pound of the 12-pound bag first

Take 18 divided by 12 = $1.50 per pound

Now find the cost per pound of the 15-pound bag

Take 24 divided by 15 = $1.60 per pound

So, buying a 12-pound bag of cat food is better because it is cheaper per pound.

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:

x= 2/6

Step-by-step explanation:

add 3x to both sides

add 1 to both sides

divide 6 to both sides to isolate x

x = 2/6

Answer:

-10

Step-by-step explanation:

Hope this helped