Answer:
Kindly check explanation
Step-by-step explanation:
Given the models for the median height of biys and giels:
BOY:
f(x) = 2.9√x + 20.1
GIRL:
f(x) = 3.1√x + 19
If x = 24 months
BOY:
HEIGHT = 2.9√24 + 20.1
= 2.9× 4.8989794 + 20.1
= 14.207040 + 20.1
= 34.307 inches
GIRL:
HEIGHT = 3.1√24 + 19
= 3.1 × 4.8989794 + 19
= 15.186836 + 19
= 34.1868 inches
If x = 48
Boy:
HEIGHT = 2.9√48 + 20.1
= 2.9× 6.9282032 + 20.1
= 20.091789 + 20.1
= 40.19 inches
Actual median height = 40.8
Hence, model underestimates by (40.80 - 40.19) = 0.61 inches
Girl:
HEIGHT = 3.1√48 + 19
= 3.1 × 6.9282032 + 19
= 21.477430 + 19
= 40.48 inches
Actual median height = 40.20
Hence, model overestimates by (40.48 - 40.20) = 0.28 inches
if JL=10x-2, JK=5x-8, and KL=7x-12, find KL
Answer:
-84
Step-by-step explanation:
multiply 7 and -12
If f(x)=-3x-2, find f(-2)+9
Answer:
13
Step-by-step explanation:
Replace the variable x with -2 in the expression.
f (-2) = -3 x -2 -2
Simplify (-3 x -2 -2) + 9
Multiply -3 by -2
6 - 2 + 9
Subtract 2 from 6
4 + 9
add 4 and 9
13.
The required simplified value of the function [tex]f(-2) + 9[/tex] as is 13.
Given that,
f(x) = -3x - 2
To determine
[tex]f(-2) + 9[/tex]
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function f(x) = -3x - 2
Put x = -2 and add the function with 9
= [tex]f(-2) + 9[/tex]
= -3(-2) -2 + 9
= 6 - 2 + 9
= 13
Thus, the required simplified value of the function as [tex]f(-2) + 9[/tex] is 13.
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Simplify the expression : (3/2) of (4/7) multiplied by [(10x3)-(8x2)]
Answer: 68/7
Step-by-step explanation:
given data:
(3/2) of (4/7) multiplied by [(10x3)-(8x2)]
first we break it down into smaller sets.
= ( 3/2 ) * (4/7 )
= 6/7 * [(10x3)-(8x2)]
we open the brackets
= 6/7 * (10x3)-(8x2)
= 6/7 * 30 –16
= 6*30/7 –16
= 180/7 – 16
= 68/7
Kevin compró 5 libras de nueces por $50.89. ¿Cuánto fue el costo por libra?
A. $ 0.18 B. $5
C. $10 D. $10.17
Answer:
la respuesta es D
Use the graph shown to fill in the blank. When x = -3, then y =
Hey there! I'm happy to help!
We basically want to see what value of y value of the line is at when it crosses x=-3.
If you go to -3 on the x-axis and draw a line straight down, you will see that you hit the line at (-3,-6), so the y value is -6.
Have a wonderful day! :D
Evaluate f(-3) when f(x) = x + 7
Steps to solve:
f(-3) = x + 7
~Substitute
f(-3) = -3 + 7
~Simplify
f(-3) = 4
Best of Luck!
Need help with some math
Answer:
C
Step-by-step explanation:
(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4
27 - 2(25) - 3(27) + 81
27 - 50 - 81 + 81
27 - 50
-23
Round the decimal 0.334 to the underlined place
A. 1
B. 0
C. 0.3
D. 0.4
Answer:
its 0.3
Step-by-step explanation:
how i found it is by reading the lesson dude
The answer are:
0.334 = 0.3
0.334 = 0.33
0.334 = 0.334
Given,
0.334
We need to round to the underline place.
The underline is not given here so we will assume:
0.334
0.334
0.334
What is the place value of a decimal number?Example:
245.678
2 - hundreds
4 - tens
5 - ones
6 - tenths
7 - hundredths
8 - thousandths
We have,
0.334
Here the underline is in tenth place.
Rounding to tenth place
we get,
0.3
0.334
Here the underline is in the hundredths place
Rounding to the hundredths place
we get,
0.33
0.334
Here the underline is in the thousandth place
Rounding to the thousandth place
we get,
0.334
Thus,
0.334 = 0.3
0.334 = 0.33
0.334 = 0.334 is our answer.
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6. A chemist wishes to make 5 liters of an 7% acid solution by mixing a 10% acid
solution and a 5% acid solution. How many liters of each solution the chemist have to
use? Make a table with relevant quantities and show all steps.
Answer:
The chemist will mix 3 liters of the 5% acid solution and 2 liters of the 10% acid solution to get 5 liters of 7% acid solution
Step-by-step explanation:
Here, we are interested in finding the number of liters of each solution the chemist have to make use;
Let the number of liters of the 5% acid solution be x while the number of liters of the 10% acid solution be y
Mathematically;
x + y = 5 •••••••••(i)
Also, let’s work with the percentages now
( x * 5%) + (y * 10%) = (5 * 7%)
0.05x + 0.1y = 0.35 ••••••••(ii)
From i , x = 5-y
Substitute this into ii
0.05(5 -y) + 0.1y = 0.35
0.25 - 0.05y + 0.1y = 0.35
0.25 + 0.05y = 0.35
0.05y = 0.35 -0.25
0.05y = 0.1
y = 0.1/0.05
y = 2
But x + y = 5
x + 2 = 5
x = 5-2
x = 3
A better alternative to direct observation to collect data is through_____, which are often/are more costly.
a. experimentation
b. electronic surveys
c. interviews
d. self administrative questioneers
A better alternative to direct observation to collect data is through Electronic surveys, which are often/are more costly.
What is Meant By Surveys?A survey is a technique in customer service used to gather feedback from customers on goods, services, and other business-related subjects. Participants are asked how they feel about a topic, and their response is recorded for subsequent use.
A survey in which the distribution of the survey to potential respondents and the gathering of survey data from actual respondents are both heavily reliant on computers. Surveys that are distributed by email over the Internet or company intranets are known as email-based surveys.
Given:
Data is a raw information which can be collected by many mediums.
Now, the data can be collected by experimentation, electronic surveys, interviews and self administrative questioners.
As, Surveys are the best option but Among all of them the costly one is Electronic surveys.
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I can’t get any of these help me plsss
Answer: C
Step-by-step explanation:
The difference between an equation and expression is the equals sign. A simple way to tell of an expression is an equation is if there is an equal sign. If there is an equal sign, then it is an equation. If not, it is an expression.
Since this problem is asking for expression, it would be easiest to find an answer choice that doesn't include the word "_____is _____". This is a way to say _____ is equal to ____.
Let's go through each of the answer choices and write the equation/expression for it.
A. Equation
(4+x)/2=12
---------------------------------------------------------------------------------------------------------
B. Equation
p-1=14
---------------------------------------------------------------------------------------------------------
C. Expression
3c-9
---------------------------------------------------------------------------------------------------------
D. Equation
9m=36
---------------------------------------------------------------------------------------------------------
There is no indication that the expression is equal to anything, therefore C is the correct answer.
What the ratio of 7:3
Hey there!
ANSWER: [tex]14/6[/tex]EXPLANATION:Ratio of [tex]7:3[/tex]
If you want to get the ratio, you should multiply the numerator(7) and denominator(3) by 2.
[tex]7*2=14(Numerator)\\3*2=6(Denominator[/tex]
So your answer is:
[tex]14/6(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
A base of a parallelogram is on the x-axis and the origin is located at the left endpoint of that base. Three consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0. What is the x-coordinate of the fourth vertex?
2h
k + h
2k
Answer:
k + h
Step-by-step explanation:
Given that;
The base of a parallelogram is on the x-axis, i.e., it is on the horizontal axis.
The origin (0,0) is located to the left endpoint of the base. This is followed by (k,0) on that same horizontal baseline, now the length of the upper base must be equal to the length of the lower base, from the (k,0) endpoint, the vertical slant line leading to the upper base endpoint is (h,j).
Therefore, the x-coordinate of the fourth vertex will be k unit distant from h.
i.e k+h.
Answer:
k+h
Step-by-step explanation:
Use the general solution to solve 5 – 6x = 8x + 17.
Answer:
8x+6x=14x
5-17= -12
divide both sides by 2
7x= -6
divide by 7
you get x= -6 over 7
Step-by-step explanation:
Answer:
x= -6/7
Step-by-step explanation:
1. 5 - 17 = 8x + 6x
2. -12 = 14x
3. x= -6/7
what is the scale factor of triangle abc to triangle xyz
Help me please
Answer:
1/3
Step-by-step explanation:
21/1/3=7
27/1/3=9
36/1/3=12
Answer:
A:1/3
Step-by-step explanation:
The numerical values of the area and the perimeter of a square field are in the ratio 5:2, while that of a square park are in the ratio 3:1. What is the positive difference between their areas?
Answer:
44
Step-by-step explanation:
If side = a
Then:
A = a², P = 4a for area and perimeterA/P = a²/4a = a/4 for are/perimeter ratioThe first case:
a/4 = 5/2 ⇒ 2a = 20 ⇒ a = 10 ⇒ a² = 100The second case:
a/4 = 3/1 ⇒ a = 12 ⇒ a² = 144Difference between areas:
144 - 100 = 444 thousandths times 3
Answer:
12000
Step-by-step explanation:
4000 4000 4000 =heheheheheh
Answer:
.00012
Step-by-step explanation:
UH I just did the basic standard algorithm. .0004 x 3 . Pretend there's no decimal then times it then YUh. SOrry I am not good at explaining unu
Can anyone help me out with this please!
Answer:
[tex]h(x)=\frac{1}{4}|x|[/tex]
Step-by-step explanation:
In order to vertically stretch a function, we just need to multiply the function by our stretch factor.
So, we have the function:
[tex]g(x)=|x|[/tex]
We want to find the equation of this function vertically shrunk by a factor of 1/4. So, multiplied the function by 1/4:
[tex]h(x)=\frac{1}{4}|x|[/tex]
And this will be our answer :)
A dealer advertises that a certain brand of tire averages 50,000 miles of use before needing to be replaced. Testing this claim, an investigator finds that a sample of 19 randomly selected tires from this dealer had an average lifespan of 48,700 miles with a standard deviation of 4,500 miles. Assume tire life spans are approximately normally distributed. At the α = 0.05 level, find if the investigator can prove the dealer is exaggerating the average lifespan of their tires by performing the hypothesis test.
Answer:
100k miles
Step-by-step explanation:
The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. What is the probability that the sample mean selling price was between $114,000 and $116,000?
Answer:
0.31084
Step-by-step explanation:
When given a question where by a random sample is chosen for the population, the z score formula used =
z = (x-μ)/Standard error
where x is the raw score
μ is the population mean
Standard error = σ/√n,
σ is the population standard deviation
n = number of samples
For x = $114,000, μ = $115,000, σ = 25,000, n = 100
z = (x-μ)/Standard error
= z = (x-μ)/ σ/√n
z = 114,000 - 115,000/ 25,000/√100
= -1000/25,000/10
= -1000/2500
z = -0.4
Determining the probability value from Z-Table:
P(x = 114000) = P(z = -0.4)
= 0.34458
For x = $116,000, μ = $115,000, σ = 25,000, n = 100
z = (x-μ)/Standard error
= z = (x-μ)/ σ/√n
z = 116,000 - 115,000/ 25,000/√100
= 1000/25,000/10
= 1000/2500
= 0.4
Determining the Probability value from Z-Table:
P(x = 116000) = P(z = 0.4)
= 0.65542
The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as
= P(114,000< x < 116,000)
= P(-Z<x<Z)
= P(-0.4<x< 0.4
= 0.65542 - 0.34458
= 0.31084
Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084
Which tribe uses irrigation, so that they can grow crops and maintain their sedentary lifestyle? Apache Caddo Karankawa Jumano
Answer:lo estoy haciendo
Step-by-step explanation:
El producto de dos números consecutivos es 552 cuáles son esos números?
Answer: 23 y 24 ( ó -23 y -24)
Step-by-step explanation:
Dos números consecutivos se escriben como:
n y (n + 1)
done n es un numero entero.
Entonces "El producto de dos números consecutivos es 552"
Se escribe como:
n*(n + 1) = 552
n^2 + n = 552
n^2 + n - 552 = 0
Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.
[tex]n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}[/tex]
Las dos soluciones son.
n = (-1 - 47)/2 = -48/2 = -24
n = (-1 + 47)/2 = 46/2 = 23
Si tomamos la primer solución, n = -24
Entonces los dos números consecutivos son:
n = -24
(n + 1) = -23
Si n = 23 entonces
n + 1 = 24
Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.
The model at right best represents what percent?
The model is 65/100 but what is the percent of it?
Answer:
The answer would be 65%
Answering a question asked 2 months ago...
65/100 = 65%
Solve for the indicated variable. ax + r = 6 for r
Answer:
r = 6-ax
Step-by-step explanation:
[tex]ax + r = 6[/tex]
Isolate r ;
[tex]r = 6 - ax[/tex]
170% converted to a fraction equals.
Answer:
17/10
Step-by-step explanation:
English
Math 7
Which table does not represent a proportional relationship?
Round 6.09933418366 to 4 decimal places
Answer:
6.113 i believe to be so
The decimal number is 6.0993 to 4 decimal places.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
A decimal number,
6.09933418366.
To round off to 4 decimal places,
6.0993.
Therefore, the value is 6.0993.
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what is the absolute value of -13
Answer:
13
Step-by-step explanation:
Absolute value is the distance that number is from zero
1. simplify using the laws of exponents
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b. Simplify.
Step-by-step explanation:
a father was 25 years older than his son five years ago. if the product of the son and his father's ages then was 900 years. how old is the son now.
Answer:
25
Step-by-step explanation:
Let x represent the son's age now. 5 years ago, it was x-5, and the father's age was (x -5)+25 = (x+20).
The product of their ages at that time was 900, so we have ...
(x -5)(x +20) = 900
x^2 +15x -100 = 900
x^2 +15x -1000 = 0 . . . . subtract 900
(x +40)(x -25) = 0 . . . . factor
x = -40 or +25 . . . . these values make the factors zero
The son's age now is 25.
