The number of kilograms of the weight of the boy will be 21.32 kg.
What is conversion?Conversion means to convert the same thing into different units.
A boy weighs 47 pounds.
Then the number of kilograms of the weight of boy will be
We know the conversion
1 pound = 0.45359237 kg
Then we have
47 pound = 47 x 0.45359237 kg
47 pound = 21.31884139 kg
47 pound = 21.32 kg
More about the conversion link is given below.
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If $16,000 is invested at 8% for 12 years, find the future value if the interest is compounded
semiannually.
Please round the answer to the nearest cent.
The future value is $
t - the number of years the money is invested for
P = $16,000
m =2
t = 12 yr
r = 8% or .08
FV = 16,000* ( 1+ .08/2) 2*12 = 16000 (1.04) 24 = 16000* (2.5633041) = $41012.8656
FV - the future value of the investment = $41012.87 is answer
You buy 8.25 ounces of almonds and 7.5 ounces of cashews. You combine the nuts and divide them equally into 9 bags. How many ounces are in
Options are below
⬇️
1.75 ounces
9.5 ounces
15.5 ounces
17.5 ounces
PLS FOR 18 POINTS
Need help with math problem if do get 5 star
Answer:
b) 200 square inches
Step-by-step explanation:
Area of a pentagon: A = 1/2 * 5(side)(apothem).
side: b = 10inapothem: a = 8 inA = 1/2 * 5(side)(apothem).
A = 1/2 * 5(10)(8).
A = 1/2 * 5(80).
A = 1/2 * 400
A = 200 square inches
Did I do 11,7 right ?
Answer:
Yes
Step-by-step explanation:
Researchers would like to know the mean body temperature of runners at the completion of a marathon. They plan to take a random sample of 100 runners who complete a marathon and record their temperatures. Which of the following will the researchers know after they have taken the sample? Explain your answer in each part.a. The value of the mean of the sampling distribution of the sample mean.b. The approximate shape of the sampling distribution of the sample mean.c. The standard deviation of the sampling distribution of the sample mean.
Answer:
They would know a and b.
a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.
b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.
c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
a. The value of the mean of the sampling distribution of the sample mean.
The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.
b. The approximate shape of the sampling distribution of the sample mean.
Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.
c. The standard deviation of the sampling distribution of the sample mean.
To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.
The sum of the digits of a three-digit number is 21. If the digits are reversed, the new
number is 198 greater than the original. The sum of the first and third digits is one
more than three times the second digit. Find the number.
Answer:
The anwser would be 230
Step-by-step explanation:
Evaluate the expression for x = 10 and y = - 8.
2x - 2y
2x - 2y =
(Simplify your answer. Type an integer or a decimal.)
A tree is 6 feet 7 inches tall. How tall is it in inches?
Answer:
79 inches
Step-by-step explanation:
1 foot equals 12 inches
6 feet = 6*12 = 72 inches
72+7=79
79 inches
A snail travels 820 mm in 0.75 minutes. What was his speed in m/s?
Answer:
speed in m/s=0.01822 metre/s
Step-by-step explanation:
Conversation rate of mm to m is
1000 mm = 1 metre
820 mm= 820/1000
829 mm= 0.82 metres
Conversation rate of minutes to second
I minute = 60 seconds
0.75 minute = 60*0.75 seconds
0.75 minute= 45 seconds
speed in m/s= 0.82 metres/45 seconds
speed in m/s= 0.82/45
speed in m/s=0.01822 metre/s
Triangle GHI is similar to triangle JKL. Find the measure of side KL. Round your
answer to the nearest tenth if necessary.
8
H
K
11
G
48
J
Answer:
The answer is 34.9
Step-by-step explanation:
48÷11= 4.3636363636
4.3636363636×8=34.9090909088
So, the answer is 34.9
2/5 divided by 5/8 in SIMPLEST form
Answer:
16/25 is it's simplest form.
Answer:
16/25
Step-by-step explanation:
2/5 ÷ 5/8
=2/5 2/8 ÷ 5/2 8/5 is how i do it but makes no sense
or known as 0.64 for the answer so there for its 16/25
Hope this helps ;)
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
Benjamin has 5 baskets. Each basket has 10 berries in it. Explain how you could find how many berries benjamin has
Answer: You can multiply 5 x 10 which means he has 50 berries
Last month, Laura had x stamps. This month, she has doubled her collection to 120. Which of the following describes the given situation?
Let x be the number of stamps.
After a month the number of stamps doubled, this is expressed as 2x
Then, the equation described by the problem is:
\(\begin{gathered} 2x=120 \\ \Rightarrow x=60 \end{gathered}\)Therefore, the initial number of stamps is 60.
The third option is the correct one. 2x=120
help please!! really easy math. <3
Answer:
y = x+5
Step-by-step explanation:
Answer:
\(y = x + 5\)
Step-by-step explanation:
GIVEN :-
Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5TO FIND :-
Equation of line in slope-intercept formFACTS TO KNOW BEFORE SOLVING :-
Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → \(\boxed {y = mx + c}\)
SOLUTION :-
By using the basic idea of slope-intercept form , the equation of line given in the question is :-
\(y = (1 \times x) + 5\)
\(=> y = x + 5\)
what value of z makes the equation below true 6z-7=23
Problem
What value of z makes the equation below true 6z-7=23
Solution
For this case we can begin adding 7 in both sides of the equation and we got:
6z -7+7 = 23+7
6z = 30
And dividing both sides by 6 we got:
z = 30/6= 5
I dunno how to write this, so ask any question in the comments.
Using the two coordinates (2,5) , (-2,-1), find the standard form equation. (slope is 3/2 if that helps)
Step-by-step explanation: 4/5, 2/5
I hope this helps.
Solve the system by the elimination method:
-6x + 5y = -11
6x - 11y = -19
A (6,5)
B (-6,-5)
C (5,6)
D (-5, -6)
Answer:
x = 6, y = 5
Step-by-step explanation:
Solve the following system:
{5 y - 6 x = -11 | (equation 1)
{-11 y + 6 x = -19 | (equation 2)
Add equation 1 to equation 2:
{-(6 x) + 5 y = -11 | (equation 1)
{0 x - 6 y = -30 | (equation 2)
Divide equation 2 by -6:
{-(6 x) + 5 y = -11 | (equation 1)
{0 x + y = 5 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{-(6 x) + 0 y = -36 | (equation 1)
{0 x + y = 5 | (equation 2)
Divide equation 1 by -6:
{x + 0 y = 6 | (equation 1)
{0 x + y = 5 | (equation 2)
Collect results:
Answer: {x = 6, y = 5
Each of the following correctly match an English phrase with a mathematical expression except _____. a number times seven, 7x a number subtracted from seven, 7 - x the sum of a number and seven, 7 + x a number divided by 7,
Answer:
D, a number divided by 7
Consider the line y=7x-1.
Find the equation of the line that is perpendicular to this line and passes through the point (-2, 4).
Find the equation of the line that is parallel to this line and passes through the point (-2, 4).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Answer:
Step-by-step explanation:
RELATING CONCEPTS For Individual or Group Work (Exercises 105-108)
A manufacturer has fixed costs of $1000 to produce gizmos. Each gizmo costs $5 to
make. The fixed cost to produce gadgets is $750, and each gadget costs $3 to make.
Work Exercises 105-108 in order.
105. Write an expression for the cost to make x gizmos. (Hint: The cost will be the sum
of the fixed cost and the cost per item times the number of items.)
106. Write an expression for the cost to make y gadgets.
107. Write an expression for the total cost to make x gizmos and y gadgets.
108. Simplify the expression from Exercise 107.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Fixed cost to produce gizmo = $1000
Cost to produce each gizmo = $5
Fixed cost to produce gadget = $750
Cost to produce each gizmo = $3
A.) Expression to make x gizmo:
Fixed cost + 5x
$1000 + 5x
B.)Expression for cost of making y gadget:
Fixed cost + 3y
$750 + 3y
C.) Cost of making x gizmo and y gadget :
($1000 + 5x) + ($750 + 3y)
D.) $1750 + 5x + 3y
which expression is equivalent to
Find the quotient and express the answer in scientific notation. 302 ÷ (9.1 x 10^4 )
The quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)
How to find the quotientDividing 302 by 9.1 gives:
302 ÷ 9.1 ≈ 33.1868131868
Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:
33.1868131868 ≈ 3.31868131868 x\(10^1\)
Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)
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In the space below, express $8 for 2 pounds of rice as a unit rate.
Answer:
The unit rate is $4 for 1 pound of rice.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
$4 per pound
Step-by-step explanation:
Unit rates are in terms of 1.
8/2 = 4
So $8 for 2 pounds is equivalent to $4 for 1 pound.
You want to take out a loan to buy a new car for which you need to finance $20,089. Your bank will give you a loan at 10% compounded monthly. You look at your budget and decide that you can afford a payment of $269 a month. How many years, to the nearest tenth of a year, must the loan be taken out to meet these conditions?
A) 20.5 years
B) 13.7 years
C) 9.8 years
D) 5.9 years
A car rental company charges a daily rate of $39 plus $0.20 per mile for a certain car. Suppose that you rent that car
< for a day and your bill (before taxes) is $111. How many miles did you drive?
miles
Answer:
360 miles
Step-by-step explanation:
A car rental company charges a daily rate of $39 plus $0.20 per mile for a certain car. Suppose that you rent that car< for a day and your bill (before taxes) is $111. How many miles did you drive?
this can be represented by the equation:
39 + 0.2x = 111
subtract 39 from both sides:
39 + 0.2x- 39 = 111 - 39
0.2x = 72
divide both sides by 0.2:
0.2x/0.2 = 72/0.2
x = 360 miles
What is the answer to 4-(-6)+(-4)+3x0
Answer:
9
Step-by-step explanation:
Follow PEMDAS
\(4-(-6)+(-4)+3x\\4+6-4+3x\\6+3x\\6+3=9\)
Answer:
6
Step-by-step explanation: \(4-\left(-6\right)+\left(-4\right)+3\times0\)
Apply the Inverse Property of Addition
\(-\left(-6\right)+3\times0\)
Apply Zero Property of Multiplication
\(-\left(-6\right)\)
Determine the sign
\(6=YOUR\ ANSWER\)
I hope this helps you
:)
490 as a product of its prime factors
Answer:
2×5×7²
Step-by-step explanation:
You will start by using the factor tree.
490
^
2 245
^
5 49
^
7 7
What is the length of a rectangular holding pond with an area of 5 1/10 square miles and a width of 1/6 mile?
Whats the solution to this problem
9^3x-3=81x+2
how to solve this problem the answer is -555498