Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place​

Answers

Answer 1

Answer:

2.5 kg

Step-by-step explanation:

2.451

Find the number in the tenth place 4 and look one place to the right for the rounding digit 5.

Round up if this number is greater than or equal to 5 and round down if it is less than 5.


Related Questions


Which is the simplified form of m-8pº?

Answers

Answer:

m-8

Step-by-step explanation:

p⁰ = 1

if 4lm+3=18 then m =​

Answers

Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

the probability that a customer of a network operator has a problem about you needing technical staff's help in a month is 0.01. This operator installs internet for 500 households in a residential area a, Calculate the average number of households in this residential area having internet problems in a certain month
b, Calculate the probability that in 6 consecutive months there is only one month that no customer in this area has a network problem that needs the help of technical staff​

Answers

Answer:

(a) average calls = 5  

(b) probability that there is exactly one call in 6 consecutive monts = 0.038

Step-by-step explanation:

Let event of a customer requiring help in a particular month = H

and event of a customer not requiring help in a particular month = ~H

Given

p= 0.01,  therefore

Number of households, n = 500.

Binomial distribution:

x = number of households requiring help in a particular month

P(x,n,p) = C(x,n)*p^x*(1-p)^(n-x)

where

C(x,n) = n!/(x!(n-x)!) is the the number of combinations of x objects out of n

(a) Average number of households requiring help = np = 500*0.01 = 5

(b)

Probability that there are no calls requiring help in a particular month

P(0), q= C(0,n)*p^0(1-p)^(n-0)

= 1*1*0.99^500

= 0.006570483

Applying binomial probability over six months,

q = 0.006570483

n = 6

x = 1

P(x,n,q)

= C(x,n)*q^x*(1-q)^(n-x)

= 6!/(1!*5!) * 0.006570483^1 * (1-0.006570483)^5

= 0.038145

Therefore the probability that in 6 consecutive months there is exactly one month that no customer has called for help = 0.038

How many ounces are equivalent to 9 pounds?(1pound=16 ounces)

Answers

Answer: 144

Step-by-step explanation:

If 1 pound is 16 ounces then you have to do 9 X 16

9x16 = 144

Therefore the answer is 144 ounces

Hope this helped!

Kyle was trying to decide which type of soda to restock based on popularity: regular cola or diet cola. After studying the data, he noticed that he sold less diet cola on weekdays and weekends. However, after combing through his entire sales records, he actually sold more diet cola than regular cola. Which paradox had Kyle encountered?

Answers

Answer:

Simpson's Paradox

Step-by-step explanation:

Answer:

Simpson's Paradox

Step-by-step explanation:

Got it right on the test.

The sum of two numbers is 19 and there differnce is 5

Answers

Answer:

x = 12 , y = 7

Step-by-step explanation:

Let the numbers be x and y

Sum of the numbers,         x + y = 19 -------- ( 1 )

Difference of the number , x - y = 5 -------- ( 2)

( 1 ) + ( 2 ) => 2x = 24  

                    x = 12

Substitute : x in ( 2 ) => 12 - y = 5

                               => 12 - 5 = y

                              => 7 = y

15 friends want to order pizza for dinner. If each friend can eat 1/3 of a pizza, how many pizzas should they order?

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{15}{3} =5\\3 friends=1 pizza\\15 friends=5 pizzas\\[/tex]

In which of the following drawings is DE parallel to AC?

Answers

Answer:

its option D because the lines are not even close to crossing.

Step-by-step explanation:

hope this helps :)

A veterinary assistant is working at a shelter that houses 53 animals. The shelter uses 1,484 pounds of food each month. How much on average does each animal consume per day in a 28-day month

Answers

Answer:

Each = 1 lb per animal

Step-by-step explanation:

Given

[tex]Animals = 53[/tex]

[tex]Food = 1484lb[/tex]

Required

Daily consumption of each animal in a 28-day month

First, we calculate the daily consumption of all animals

[tex]All = \frac{Food}{28}[/tex]

[tex]All = \frac{1484lb}{28}[/tex]

[tex]All = 53 lb[/tex]

The consumption of each animal is then calculated as:

[tex]Each = \frac{All}{Animals}[/tex]

[tex]Each = \frac{53lb}{53}[/tex]

Each = 1 lb per animal

Please help please guys how are you doing

Answers

Answer:

the answer of the the triangle is 6

Answer:

6

Step-by-step explanation:

First row:

8 ÷ 2 = 4. → Square: 4

Second row:

14 - 4 = 10.

[two circles] = 10. So, 10÷2 = 5.

Circle = 5

Third Row:

[triangle] + 5 = 11

11 - 5 = 6

Triangle = 6

help i got to pee!!!!!!!!!!!!1

Answers

Answer:

23s - 7

Step-by-step explanation:

17s - 10 + 6s + 3

=23s - 7

Answer:

[tex]23s-7[/tex]

Step-by-step explanation:

Given:

[tex]17s-10+3(2s+1)[/tex]

Distribute the parenthesis

[tex]17s-10+6s+3[/tex]

Combine like terms

[tex]23s-7[/tex]

Hope this helps

The volume of a rectangular prism is given by 24x3+78x2+49x+10. The height of the prism is given by 2x+5. Find an expression for the area of the base of the prism

Answers

Answer:

?

Step-by-step explanation:

i cant not explian that

a trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate

Answers

Answer:

8%

Step-by-step explanation:

Rate = 100×Interest ÷ Principal× Time

100× 2500/ 2500 × 8 = 800

800/100 = 8%

I hope this helps

step by step..............

Answers

I’m guessing we are simplifying so

Answer:

............Ans..............

HELP PLEASE! What is BD??

Answers

Answer:

[tex]BD=13[/tex]

Step-by-step explanation:

Note that Ray AC bisects ∠A. Therefore, we can use the Angle Bisector Theorem shown below.

Hence:

[tex]\displaystyle \frac{27}{x+5}=\frac{12}{x}[/tex]

Solve for x. Cross-multiply:

[tex]12(x+5)=27(x)[/tex]

Distribute:

[tex]12x+60=27x[/tex]

Subtract 12x from both sides:

[tex]15x=60[/tex]

Divide both sides by 15. Thus:

[tex]x=4[/tex]

BD is the sum of BC and CD:

[tex]BD=BC+CD[/tex]

Substitute:

[tex]BD=x+(x+5)[/tex]

Substitute and evaluate:

[tex]BD=(4)+(4+5)=13[/tex]

Therefore, BD is 13.

find the coordinates of 6x² + 6x = 12​

Answers

Answer:

1 , -2

Step-by-step explanation:

6x^2 + 6x = 12

6x^2 + 6x - 12 = 0

using middle term break method

6x^2 + (12 - 6)x - 12 = 0

6x^2 + 12x - 6x - 12 = 0

6x(x + 2) - 6(x + 2) = 0

(x + 2)(6x - 6) = 0

either (x + 2) = 0                             OR (6x - 6) = 0

x + 2 = 0

x = 0 -2

x = -2

6x - 6 = 0

6x = 6

x = 6/6

x = 1

therefore , x = 1 , -2

The answer is 1, -2 hope it helps

What is the difference between equation and function?
A. All of the options

B. An equation tells us in a clear term the nature of relationship between one variable and the other variable(s), but a function may not be explicit enough

C. An equation and a function is that, for an equation each of the values of independent variable should give a corresponding value of a dependent variable , that is not compulsory tor a function.

D. All equations are functions but not all functions are equations

Answers

Answer:

A is the answer........

In a certain​ region, about 11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.

Answers

Answer:

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]y(t) = y(0)r^t[/tex]

In which [tex]y(0)[/tex] is the initial value and r is the rate of change.

11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year.

This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:

BPP:

[tex]B(t) = B(0)(1 + 0.06)^t[/tex]

[tex]B(t) = B(0)(1.06)^t[/tex]

APP:

[tex]A(t) = A(0)(1 - 0.06)^t[/tex]

[tex]A(t) = A(0)(0.94)^t[/tex]

In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.

This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]

Thus

[tex]B(t) = 2.05(1.06)^t[/tex]

[tex]A(t) = 1.75(0.94)^t[/tex]

Find the predicted number of customers for each provider in 2022.

2022 - 2018 = 4, so we have to find A(4) and B(4).

[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]

[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

With the help of a diagram a boy starts at a and walks 3km east to b he then walk 4km north to c find the distance and bearing of c from a

Answers

Answer:

t=3

Step-by-step explanation:

sorry if its incorrect i got it right on edgy.

Can someone please help me ?

Answers

Answer:

5x+3y=6

Step-by-step explanation:

Use the slope intercept form then rearrange

Find an expression which represents the difference when (102 + 8) is subtracted from (-8x - 10) in simplest terms.​

Answers

Answer:

18x + 18

Step-by-step explanation:

(10x + 8) – (-8x – 10)

(10x – (-8x)) + (8 – (-10))

(10x + 8x) + (8 + 10)

18x + 18

(08.07 MC)
A polynomial function is shown below:

f(x) = x3 − 3x2 − 4x + 12

Which graph best represents the function? (5 points)

Answers

Answer:

Graph A (first graph from top to bottom)

Step-by-step explanation:

Given [tex]f(x)=x^3-3x^2-4x+12[/tex], since the degree of the polynomial is 3, the function must be odd and will resemble the shown shape in the graphs. The degree of 3 indicates that there are 3 zeroes, whether distinct or non-distinct. Therefore, the graph must intersect the x-axis at these three points.

Factoring the polynomial:

[tex]f(x)=x^3-3x^2-4x+12,\\f(x)=(x+2)(x-2)(x-3),\\\begin{cases}x+2=0, x=-2\\x-2=0, x=2\\x-3=, x=3\end{cases}[/tex]

Thus, the three zeroes of this function are [tex]x=-2, x=2, x=3[/tex] and the graph must intersection the x-axis at these points. The y-intercept of any graph occurs when [tex]x=0[/tex]. Thus, the y-coordinate of the y-intercept is equal to [tex]y=0^3-3(0^2)-4(0)+12,\\y=12[/tex] and the y-intercept is (0, 12).

The graph that corresponds with this is graph A.

PLEASE HELP
Question 2 of 10
What is the distance formula?
O A. (2 - x,) + (42-44)
B. (x2 + x; } } - (x2 + y )
c. 112 - ) - ( x - x
O D. / (+2 - x)² + (x2 - yil

Answers

ANSWER

D

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

hey can you explain cause IM reading  my self and id  be happy to help if you  oh you have a picture oh the answer is...

Step-by-step explanation:

Diana is going to roll a 6-sided die. What's the probability she will role a 4 or
a 5? *

Answers

The probability of rolling any one number on a 6 sided die is 1/6

The probability of rolling a 4 is 1/6

The probability of rolling a 5 is 1/6

The probability of rolling a 4 or a 5 is the probability of rolling a 4 plus the probability of rolling a 5:

1/6 + 1/6 = 2/6 = 1/3

The answer is 1/3

2. How to find the variance and standard deviation of a discrete
random variable?​

Answers

Answer:

To find the variance just take the second moment and subtract that from the first moment squared

To find the standard deviation just take the square root of the variance

Step-by-step explanation:

La temperatura exterior era de 8 grados a la medianoche. La temperatura bajó 5 grados durante cada una de las siguientes 3 horas. ¿Cuál era la temperatura a las 3 a.m.?​

Answers

Answer:

A las 3 AM la temperatura era de -7 grados.

Step-by-step explanation:

Dado que la temperatura exterior era de 8 grados a la medianoche, y la temperatura bajó 5 grados durante cada una de las siguientes 3 horas, para determinar cuál era la temperatura a las 3 a.m. se debe realizar el siguiente cálculo:

8 - (3 x 5) = X

8 - 15 = X

-7 = X

Por lo tanto, a las 3 AM la temperatura era de -7 grados.

The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hypotenuse is 9 inches more than twice the length of the shorter leg. Find the side lengths of the triangle.​

Answers

9514 1404 393

Answer:

  15 in, 36 in, 39 in

Step-by-step explanation:

The Pythagorean theorem tells us that for short side x, the relation is ...

  (2x +9)² = (2x +6)² +x²

  4x² +36x +81 = 4x² +24x +36 +x²

  x² -12x -45 = 0 . . . . . subtract the left-side expression

  (x -15)(x +3) = 0 . . . . factor

  x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero

The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

Is there a local minimum at x= -4?

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.

Graph the following inequality. Then click to show the correct graph.


3x - 2y ≤ 6

Answers

Answer:

We want to graph the inequality:

3x - 2y ≤ 6

The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.

3x  ≤ 6 + 2y

3x - 6  ≤ 2y

(3/2)x  - 6/2  ≤ y

(3/2)x  - 3  ≤ y

or:

y ≥ (3/2)x  - 3

Because we have the symbol ≥

The points on the line are solutions, then the first part is to graph the line:

y = (3/2)*x - 3

Next, we have:

y equal to or larger than  (3/2)*x - 3

Then we need to shade all the region above that line.

The graph can be seen below.

I need help please, i dont understand

Answers

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

__

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

Additional comment

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

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