Answer:
So, the town had a population on 4,500 people in 1995. Then from 1995 to 2000, the population increased by 15%.
Convert 15% to a decimal by dividing it by 100. Then, the population in 1995 by this decimal.
15% ÷ 100 = 0.15
4,500 × 0.15 = 675
Now, add this to the population in 1995.
4,500 + 675 = 5,175
This means that the town had a population of 5,175 people in 2000.
To calculate the town's population in 2005, repeat the same steps we took to find the population in 2000, except this time we will subtract instead of add since the population DECREASED.
4% ÷ 100 = 0.4
5,175 × 0.4 = 207
5,175 - 207 = 4,968
FINAL ANSWER:
The town had a population of 4,968 in 2005.
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Please!!!!! HELP!!!!!!!!!
$10,000 is invested at 0.75% annual interest for 2 years.
a. Simple Interest b. Compound Interest
Answer:
The simple interest is 10,150.00 The compound interest is $10,150.56
Step-by-step explanation:
Which fraction represents the probability of getting at least 1 heads?
A.7/8
B.3/4
C.1/6
D.1/8
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 29 light bulbs has a mean life of 737 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At α=0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e)
Answer:
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
An Alternative hypothesis is accepted
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
Step-by-step explanation:
Step(i):-
Given that the mean life of a certain type of light bulb is at least 754 hours
Given that the random sample size 'n' =29
Given that the mean life of sample x⁻ = 737
Given that the standard deviation of the Population = 59
Step(ii):-
Null hypothesis: H₀: μ≥ 754
Alternative Hypothesis:H₁: μ≤ 754
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]
Z = -1.55
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at 0.08 level of significance
Final answer:-
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
Lesson 13 Problem Set 5.4
2.
Draw rectangular fraction models of 3 >
f3x3 and
Compare multiplying a number by 3 and by 1 third.
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?
Answer:
Step-by-step explanation:
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.
The distance covered by the snail in 4 days from Monday to Friday morning is,
Distance = 4 days × 18 inches = 72 inches
Distance covered on Friday = 30 inches
Total distance covered = 72 inches + 30 inches = 102 inches
The total distance covered before you leave on Friday is 102 inches.
Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.
Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
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If M is the midpoint between A and C, given A(2,9) and M(0,7). Use desmos to help
The endpoint C is
Answer:
(1, 8)
Step-by-step explanation:
A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mean weight of the first baby for women who have at least two children. She selected a random sample of 20 women who had at least two children and asked for the weights of the first two at birth. She found that the mean of the differences (first - second) was 5 ounces, and the standard deviation of the differences was 7 ounces.
Required:
a. Why was the researcher's study design better than taking independent samples of mothers and asking the first sample about the weight of their first baby and the sec_ and sample about the weight of their second baby?
b. Define the parameter of interest. Use appropriate notation.
c. Write the mean of 5 ounces and the standard deviation of 7 ounces using appropriate statistical notation.
d. Find a 90% confidence interval for the parameter that you defined in part (b). Write a sentence or two interpreting the interval.
Suppose there are n people on a bus. At the next stop, 9 more people get on the bus. No one gets of the bus. Draw a bar diagram to model the number of people now on the bus. Use this model to write an algebraic expression for the number of the people now on the bus.
Answer:
Algebaric Expression & Bar Diagram graphic representation of number of people in bus.
Step-by-step explanation:
No. of people on bus = n
After 9 more boarding & no one deboarding the bus , no. of people = n + 9
Bar diagrams is graphical method for presentation of data. Presenting the given in bar diagram :
What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
Answer:
D
Step-by-step explanation: :)
SOLVE
270.6 is 16 1/2% OF WHAT NUMBER?
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
Answer:
165 po ang answer promise po
Answer:1640
To find the % then we have too times the 16 /12% by something right?
After some guessing their is my answer
Hope this helps :)
If you are reading this hope you have a wonderful day!
Heres another math question! Please no links, and dont answer if you dont have an answer or I will report!
hope you have an amazing day lovely! <3
Can someone pleaseeee help me
Answer:
a). Common difference = 4
b). [tex]T_n=4n+3[/tex]
c). 51st term = 207
Step-by-step explanation:
Given arithmetic sequence is,
7, 11, 15, 19......
a). Common difference = Second term - First term
= 11 - 7
= 4
b). nth term of an arithmetic sequence is given by,
[tex]T_n=a+(n-1)d[/tex]
Here, n = number of term
a = First term
d = common difference
By substituting the values in the given formula,
[tex]T_n=7+(n-1)4[/tex]
[tex]T_n=4n+3[/tex]
c). 51st term of the sequence will be,
[tex]T_{51}=7+(51-1)4[/tex]
= 7 + 200
= 207
find the cost of fencing a rectangular field 250m long and 130m wide at rupees 30 per meter
Answer:
(250+250+130+130)*30=22,800
Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.
She wrote the inequality 477 + x < 650.
Is the inequality correct?
Answer:
No, because the inequality symbol should be less than or equal to 650
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter
Answer:12
Step-by-step explanation: I multiplied 3 times 4
The Lateral Surface Area of cone is 12 π ft³
what is Lateral Surface area of Cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point
example:
Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)
Solution: Given that r = 21 units and h = 20 units
Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units
We know, the lateral area of the cone = πrL
Lateral area of a cone = (22/7) × 21 × 29
= 22 × 3 × 29
= 1914 units2
Answer: The lateral surface area of the given cone is 1914 units2
Given:
l= 4 ft
r= 3 ft
Lateral area = πrl
Lateral area = π * 3 * 4
Lateral area = 12 π ft³
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Can somebody tell me which one of these options do I put? (I need to put two)
Answer:
B D and E
Step-by-step explanation:
Expressions do not contain equal signs
Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving.
You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.
Group Sample Mean Sum of Squares
Preparing to speak 98.3 7,2810.0900
Speaking 101.5 6,6156.8100
Listening 103.2 70,277.7600
After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table.
Source of Variation SS df MS F
Between Treatments 3,095.00 2 1,547.50 5.52
Within Treatments 209,244.66 747 280.11
Total 212,339.66 749
These findings are significant at α = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by: ________
Required:
What is the formula for this measure of the effect size?
Answer:
η²
SSbetween / SStotal
η² = 0.0145757
Step-by-step explanation:
Effect size, η² = SSbetween / SStotal
SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.
The sum of square Total, SStotal measures the entire variability in these dataset.
SSbetween = 3,095.00 ; SStotal = 212,339.66
η² = SSbetween / SStotal
Effect size η²= 3,095.00 / 212,339.66
Effect size = 0.0145757
The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet
9514 1404 393
Answer:
D. 53 feet
Step-by-step explanation:
The value of the expression when x=0 is ...
3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53
The initial height of the ball is 53 feet.
Solve the following pair of simultaneous equation using elimination method.
3x_2y=7
X+2y= _3
Answer:
x = 1 and y = −2
Step-by-step explanation:
Rewrite equations:
x + 2y = −3
3x − 2y = 7
Step 1: Solve x+2y=−3 for x:
x + 2y = −3
x + 2y + −2y = −3 + −2y (Add -2y to both sides)
x = −2y − 3
Step 2: Substitute −2y − 3 for x in 3x − 2y = 7:
3x − 2y = 7
3(−2y − 3) − 2y = 7
−8y − 9 = 7 (Simplify both sides of the equation)
−8y − 9 + 9 = 7 + 9 (Add 9 to both sides)
−8y = 16
−8y/−8 = 16/−8 (Divide both sides by -8)
y = −2
Step 3: Substitute −2 for y in x = −2y − 3:
x = −2y − 3
x = (−2)(−2) − 3
x = 1 (Simplify both sides of the equation)
What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)
Answer:
the perimeter in unites of abc with 3, -3 is a
Answer:
18 Units
Step-by-step explanation:
According to the calculator
Ryan has constructed a multiple regression model and wants to test some assumptions of his regression model. In particular, he is testing for normality of the residuals. To do this Ryan should:
a. construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line
b. plot the residuals vs the predicted values of the response variable and check if the result is a random pattern
c. plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line
d. plot the residuals vs each explanatory variable to check if they are approximately random and form no clear pattern
e. construct a normal quantile plot of the residuals and see if the result is an approximately horizontal straight line
f. construct a normal quantile plot of the residuals and see if the result is an approximately downward sloping straight line
Answer:
plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
Step-by-step explanation:
Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model
Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed
how often did superwireless have faster download times than com-com in these examples
Answer:
most of the time .........
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
Most of the time
what is the answer for is I need help please. 4/5 - 1/4
Answer:
11/ 20
Step-by-step explanation:
it cannot be reduced any further
Answer: 11/20 or in decimal 0.55
Step-by-step explanation:
What is the value of x in the triangle?
Answer:
C) 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
in an isosceles triangle, the hypotenuse equals a leg multiplied by [tex]\sqrt{2}[/tex]
In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there
Answer:
There are 7 total family members.
Step-by-step explanation:
The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.
$987.65 is invested at 0.4% annual interest for 5 years.
a. Simple Interest b. Compound Interest
Answer:
I. Simple interest = $19.753
II. Compound interest = $1007.6
Step-by-step explanation:
Given the following data;
Principal = $987.65
Interest rate, R = 0.4%
Time, T = 5 years
To find the simple interest;
S.I = PRT/100
S.I = (987.65*0.4*5)/100
S.I = 1975.3/100
S.I = $19.753
II. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 987.65(1 + \frac{0.4}{100})^{5}[/tex]
[tex] A = 987.65(1 + 0.004)^{5} [/tex]
[tex] A = 987.65(1.004)^{5} [/tex]
[tex] A = 987.65(1.0202)[/tex]
A = $1007.6
Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have to begin with?
Answer:
k-3 ≥8
Step-by-step explanation:
k-3 ≥8
kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.
WHAT IS THE ANSWER PLSS
Answer: X≥6
Step-by-step explanation:
x/-2≤-3
x≥-3(-2)
X≥6
