Answers
Answer:
1
Step-by-step explanation:
Just plug in 56 as x into the function
\(f(56) = \frac{56}{28} - 1\)
\(= 2 - 1\)
\(= 1\)
Related Questions
A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.
Answers
Answer:
B. rate of water flow.
Step-by-step explanation:
Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.
Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.
The value of a car is decreasing by 12% per year. If the car is worth $11,000 today, what will it be worth in two years?
Answers
Answer:
$8518.40
Step-by-step explanation:
FV = PV(1+r)^n
FV = future value
PV = present value
r = rate
n = # of years
Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4
If np >= 5 and nq >= 5 , estimate P(at least 10) with n = 13 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution ; if np < 5 or nq < 5 then state that the normal approximation is not suitable.
Answers
The question provides that:
\(\begin{gathered} n=13 \\ p=0.5 \end{gathered}\)Therefore, we have that:
\(q=1-p=1-0.5=0.5\)To check if we can use the normal distribution as an approximation, we will check the values of np and nq:
\(\begin{gathered} np=13\times0.5=6.5 \\ nq=13\times0.5=6.5 \end{gathered}\)Since,
\(\begin{gathered} np\ge5 \\ \text{and} \\ nq\ge5 \end{gathered}\)then we can use the normal distribution as an approximation.
To evaluate P (at least 10), we are evaluating:
\(P(X\ge10)\)The standard deviation of the distribution is gotten to be:
\(\sigma=\sqrt[]{np}=\sqrt[]{6.5}=2.550\)The mean is 6.5.
Therefore, the Z-score is gotten to be:
\(Z=\frac{x-\bar{x}}{\sigma}\)Hence, it is calculated to be:
\(Z=\frac{10-6.5}{2.550}=1.37\)The probability is therefore given to be:
\(P(Z\ge1.37)=Pr(0\le Z)-Pr(0\le Z\le1.37)\)Using the Probability Distribution Table, we have:
\(P(Z\ge1.37)=0.5-0.4147=0.0853\approx0.085\)Therefore, the answer is:
\(P(at\text{ }least\text{ }10)=0.085\)If tan 8 = 3 and 8 lies in the second quadrant. Use a Pythagorean identity to find
the exact value of cos 6.
Answers
The exact value of Cosθ is -1/√10 .
In the question ,
it is given that ,
the value of tanθ = 3/1 ,
that means the perpendicular = 3x
and the base of the triangle is = 1x,
So ,By Pythagoras Theorem
hypotnuse² = perpendicular² + base²
hypotnuse² = (3x)² + (1x)²
hypotnuse² = 9x² + 1x²
hypotnuse² = 10x²
hypotnuse = (√10)x
So , Cosθ = base / hypotnuse
Cosθ = 1x/(√10)x
Cosθ = 1/√10
Since , \(\theta\) lies in the second quadrant ,
and in second quadrant Cos is negative ,
So , Cosθ = -1/√10
Therefore , The exact value of Cosθ is -1/√10 .
The given question is incomplete , the complete question is
If Tanθ = 3 , θ lies in the second quadrant. Use a Pythagorean identity to find the exact value of Cosθ ?
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if a soil sample test gives a positive result it is blank percent likely that the soil sample contains organic matter
Answers
Answer:
blank: formal
Step-by-step explanation:
Answer:
First Blank: 35
Second Blank: 60
A satellite flies 79550 miles in 10.75 hours. How long would it take to fly 39664 miles?
Answers
Answer: 134/25
Step-by-step explanation:
hope this helps
A group of pennies made in 2018 are weighed. The mean is approximately 2.5 grams
with a standard deviation of 0.02 grams.
Interpret the mean and standard deviation in terms of the context.
Answers
Answer:
* The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.
* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.
Step-by-step explanation:
Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.
A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.
The mean weight of all selected pennies is approximately 2.5grams.
The standard deviation of this mean value is 0.02grams.
In this context,
* The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.
* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.
Likewise, adding 0.02g to the mean, you get the highest penny weight in the group.
Hence, the weight of each penny in this study, falls within
[2.48grams - 2.52grams]
27
3. A poll was conducted to find out whether people thought the United States should be involved (1 point)
in restrictions made on other countries' nuclear programs. Respondents who answered
positively were then asked to select a reason for this involvement. The respondents were
grouped into two age brackets. Using a 0.01 significance level, a test statistic of 19.529 and a
critical value of 9.210 were found. Use these values to test the claim that the age bracket is
independent of the choice for the cause of the United States' involvement in other countries'
nuclear programs.
OReject the null hypothesis; there is sufficient evidence to warrant rejection of the claim that the age
bracket is independent of the choice for the cause of the United States' involvement in other count
nuclear programs.
OFail to reject the null hypothesis; there is not sufficient evidence to warrant rejection of the claim
the age bracket is independent of the choice for the cause of the United States' involvement in oth
countries' nuclear programs.
Fail to reject the null hypothesis, this is sufficient evidence
Reject the null hypothesis, there is not sufficient evidence
Answers
Based on the information, the correct answer is B. Reject the null hypothesis; there is sufficient evidence to warrant rejection of the claim that the age bracket is independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.
How to explain the hypothesisThe test statistic is greater than the critical value, so we reject the null hypothesis. This means that there is sufficient evidence to conclude that the age bracket is not independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.
In other words, the age bracket of a respondent is related to the reason they believe the United States should be involved in restrictions made on other countries' nuclear programs.
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A baker baked 836 chocolate chip cookies and 692 oatmeal cookies. He packed the cookies into 30 boxes. Each box contained 42 cookies. How many leftover cookies were there?
Answers
Answer:
She needs a "6" number of containers. A complete solution to the question is provided below.
Step-by-step explanation:
Adam used 6 cups of milk to fill containers that each hold 1/3 how many containers can he fill
Answers
Answer:
2
Step-by-step explanation:
Change the numbers into an improper fraction. 6/3, then simplify it.
6/3 = 2
Answer:
1/3=6. Cross multiply1×c=6×3cups filled= 181. (3 points) Show the sample space as a set of outcomes for each of the following experiments:a) Flip a coin and observe the outcome (heads or tails).b) Observe the gender of two children (of different ages).c) Roll an octahedron dice (which has 8 faces with each labeled by a number of 1-8).
Answers
Answer:
That's hard
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
use logarithmic differentiation
Answers
Answer:
step 1: Multiply both sides by 7.436564x.
2+40.171074= 7.436564
Step-by-step explanation:
Ms. Pesko pulled 5 candy bars out of a bag. She pulled the following candies: Twix, Kit-Kat, Milky Way, Twix, Twix. What is the experimental probablity of getting a Twix?
Answers
Answer:
Step-by-step explanation:
The experimental probability of getting a Twix is 3/5 or 60%.
The product of two numbers is 1536.
If the HCF of the two numbers is 16.
find the LCM of these two numbers.
Answers
Work Shown:
LCM = (product of two numbers)/(HCF of the two numbers)
LCM = 1536/16
LCM = 96
Elliot read a report from a previous year saying that 6 % 6%6, percent of adults in his city biked to work. He wanted to test whether this had changed, so he took a random sample of 240 240240 adults in his city to test H 0 : p = 0.06 H 0 :p=0.06H, start subscript, 0, end subscript, colon, p, equals, 0, point, 06 versus H a : p ≠ 0.06 H a :p =0.06H, start subscript, start text, a, end text, end subscript, colon, p, does not equal, 0, point, 06, where p pp is the proportion of adults in Elliot's city that bike to work. The sample results showed 21 2121 adults who biked to work, and the corresponding test statistic was z ≈ 1.79 z≈1.79z, approximately equals, 1, point, 79. Assuming that the necessary conditions are met, what is the approximate P-value for Elliot's significance test?
Answers
Answer: To find the P-value, we first need to determine the direction of the alternative hypothesis. Since the alternative hypothesis is two-tailed, we need to divide the significance level (α) by 2 before finding the critical values and the rejection region. Therefore, we have:
H0: p = 0.06
Ha: p ≠ 0.06
α = 0.05/2 = 0.025
The test statistic is z = 1.79, which represents the number of standard errors that the sample proportion is from the hypothesized population proportion under the null hypothesis. We can find the P-value by looking up the area in the standard normal distribution table beyond the test statistic in both tails:
P-value = P(Z ≤ -1.79 or Z ≥ 1.79)
= P(Z ≤ -1.79) + P(Z ≥ 1.79)
= 0.0364 + 0.0364
= 0.0728
Therefore, the approximate P-value for Elliot's significance test is 0.0728. Since the P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the proportion of adults who bike to work in Elliot's city has changed significantly from the previous year.
Step-by-step explanation:
A= 61 degrees, a= 14, and b=21, solve the triangle
Answers
Answer:
a=18,b=21,c=14
Step-by-step explanation:
A box contains orange balls and green The number of more four the number of orange If there 38 balls how many green balls and how balls are there in the box ?
Answers
let number of green balls= x
let number of orange balls=x+4
x+x+4=38
2x=38-4
2x=34
x=17
number of green balls=17
number of orange balls=21
NEED HELP QUICKLY! WORTH 100 POINTS!
Order of operations (With fractions) i need both answers:
1. (1/5+1/2)^2+3/10⋅5
2. (18−4^2+2)2 Divided by 1÷4⋅12
Answers
Answer:
Look at answer 2
Answer:
The hierarchy is starting by the parenthesis, followed by any multiplications or divisions and ultimately the additions and subtractions.
Step-by-step explanation:
First operation
1. (1/5+1/2)=(2/10+5/10)= 7/10
2. (7/10)^2= 49/100
4. (49/100) + (3/50)= (49/100 + 6/100) = 55/100
Second operation
We start by the numerator
1. (18 - 4^2 +2) = 18 - 16 +2 = 4
2. 4*2 = 8
Following with denominator
1. 1/4*12= 1/48
When we divide a number by a fraction we have to make use of the following rule (a/b)/(c/d)=(a*d)/(b*c)
Hence: (8)/(1/48) = 8*48 / 1 = 8*48 =384
There are bags of rice in 2850kg. if a bag weighs 50kg, find the value
Answers
Answer:
To find the number of bags of rice in 2850kg, we need to divide the total weight of rice by the weight of each bag. In this case, each bag weighs 50kg, so:
Number of bags = 2850 kg / 50 kg per bag
Simplifying this expression, we get:
Number of bags = 57 bags
Therefore, there are 57 bags of rice in 2850kg.
To find the value, we need to know the price per bag of rice. If we know this price, we can simply multiply the number of bags by the price per bag to get the total value. Without knowing the price, we cannot determine the value.
Answer:
57
Step-by-step explanation:
Simplify -12 - (-16)
Answers
Answer:
4
Step-by-step explanation:
-12-(-16)
-*- = +
-12+16
4
Mr. Jones has 3/4 cup of fertilizer. He will use a 1/8 cup measuring scoop to pour all of the fertilizer onto his plants. How many times will Mr. Jones fill the measuring scoop with fertilizer? Write your answer in the box.
Answers
Answer:
6 times
Step-by-step explanation:
We will have to divide in order to solve this problem.
\(\frac{3}{4}\)÷\(\frac{1}{8}\)
We will have to find the reciprocal of 1/8, which is basically flipping it, so it is 8.
After, we will have to multiply 3/4x8. The product would come out as 24/4, and if you simplify it, the answer will be 6 times.
1+(-2)+3+(-4)+...+2011+(-2012)+2013
Answers
Answer:
1007
Step-by-step explanation:
Divide the expression by two parts: the first one with all positive integer (the integer which can't be divided by two), 1+3+5+...2013 and the rest -2-4-6-...-2012
If you notice both parts are arithmetical sequences
Explore the first one 1+3+5...+2013
a1=1 d=3-1=2 an=2013
a1+d(n-1)=an
1+2(n-1)=2013
2(n-1)=2012
n-1=1006
n=1007
Sn=( 1/2)*(a1+an)*n= 0.5*2014*1007=1007*1007=1014049
-2+(-4)-...-2012
a1=-2
d=a2-a1= -4-(-2)=-2
a1+d(n-1)=an
-2+(-2)(n-1)=-2012
n=1006
Sn= (a1+an)/2*n=(-2-2012)/2*1006=-1007*1006
-1007*1006+1007*1007= 1007- the answer
The second mean
1-2=-1
3-4=-1
5-6=-1
There are 2012/2=1006 couples and every of them has sum -1
-1*1006=-1006
-1006+2013=1007
Which transformation can be applied to the blue figure to create the red figure
Answers
Answer:
Bottom Left.
Step-by-step explanation:
If you rotate 90 counterclockwise, you will end up in quadrant ll. Then when you reflect over the y axis, you will be right on top of the image.
What is (-2/3)+(7/8)?
Answers
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
\(\frac{(-2*24)/3+(7*24)/8}{24}\)=
\(\frac{-2*24/3+7*24/8}{24}\)=
\(\frac{-2*8+7*3}{24}\)=
\(\frac{-16+21}{24}\)=5/24
How can you relate the mathematical way of solving problem to your daily problem solving?
Answers
Answer:
Mathematical problems can help you in life because it teaches you to go step by step and to think things through.
Step-by-step explanation:
How many more barrels of Gasoline than Diesels were produced last year?
Answers
Which statement is true about the y-intercept of a quadratic function
Answers
Answer:
A quadratic function can only have one y-intercept. The y-intercept is also called a zero of the function. The y-intercept is located at the point where the value of y is 0.
Step-by-step explanation:
Bookwork code: N84
This is a new version of the question Make sure you start now workings
Calculate the range, in centimetres (cm), of the following
lengths:
15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm,
8.6 cm
Answers
The range, in centimetres (cm), of the following lengths is 20.5 cm
What is the range?
The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.
As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.
Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm
So, the highest value of length = 21 cm
the lowest value of length = 0.5 cm
Then, range = the highest value - the lowest value
= 21 - 0.5 = 20.5 cm
Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm
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in x^3, x is called the __
Answers
Answer:
Either the variable or unknown number, it depends on what options you have.
convert 6 kilograms to grams
Answers
Answer:
6000 grams the formula would be multiply the mass value by 1000
Step-by-step explanation:
Answer:
6000 grams
Step-by-step explanation:
6 kilograms
To convert kg into grams, we multiply by 1000
So,
=> 6 * 1000 grams
=> 6000 grams