Given:
The given sum is:
[tex]\sum _{k=4}^9(5k+3)[/tex]
To find:
The expanded form and find the sum.
Solution:
We have,
[tex]\sum _{k=4}^9(5k+3)[/tex]
The expanded form of given sum is:
[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]
[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]
[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]
[tex]\sum _{k=4}^9(5k+3)=213[/tex]
Therefore, the correct option is C.
The high school is 3.6 inches from the middle school on a map. Each half inch on the map represents 0.4 mile. What is the actual distance between the two schools?
2.88 miles
4.5 miles
7.2 miles
9 miles
Answer:
2.88 miles
Step-by-step explanation:
because 3.6/.5 = 7.2
then 7.2 × .4 = 2.88
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
please help im tring to pass this class
Volume of a cylinder is the area of the base x the height.
Area of base = pi x r^2 = 3.14 x 2^2 = 12.56
Volume = 12.56 x 8 = 100.48 units^3
Answer:
32 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = Bh where B is the area of the base
The base is a circle
The area of a circle is given by
A = pi r^2
The radius is 2
A = pi (2)^2 = 4pi
The area of the base is 4pi
The height is 8
V = 4pi *8
V = 32 pi units^3
In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Answer:
H 0
:μ=18.2 ∘ C
H a
:μ>18.2 ∘ C
Step-by-step explanation:
Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.
The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.
What is hypothesis testing?Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.
here, we have,
The three conditions for hypothesis testing are approximately met based on the information given.
Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.
The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.
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Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?
Answer:
Step-by-step explanation:
40% + 35 % = 80 % so 20% are dated after 1980
20% is .20 in decimal form
.20 (1600) = 320 coins dated after 1980
what is the estamate 1/4 of 16
Answer:
4
Step-by-step explanation:
1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.
100 points
(algebra one)
describe and correct the error in comparing the graphs
Answer:
The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.
Step-by-step explanation:
Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].
In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].
Hope this helps and have an amazing day!! ❤
sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?
MUST SHOW WORK
Answer:
Sonya got 16 questions correct.
Step-by-step explanation:
8/10=80%
80%×20=16
(To check)
16/20=80%
Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the picture)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
(sin30°+cos30°)(sin30°-cos30°)
Can someone help me really please
Answer:
Step-by-step explanation:
question
Answer:
the tank at the pet store
Step-by-step explanation:
5x4x2 = 40
35<40
Give the coordinates of point D.
A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)
HELP HELP HELP HELP PLEASE HELP ME
Answer: C is the answer bc it is asking what is more grader
Step-by-step explanation:
Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?
Answer:
12, because both dogs and birds only have 12 heads
Can someone help me with this ?
A car travels at the rate of 60 miles per hour and averages 30 miles per gallon of gasoline. Which of the following is the best
approximation of the number of gallons of gasoline that will be used in 8 hours of traveling at 60 miles per hour?
0.06 gallons
16 gallons
3.75 gallons
7.5 gallons
480 gallons
WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS
Answer:
D
Step-by-step explanation:
Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17
Please give brainliest thank you
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
The quotient when 17 less than p is divided by 8.
Well, let's first take 17 less than p. That'll be :-
[tex] \sf \: p - 17[/tex]
Note :- 'p' comes first as the question has the words - less than p.
Now, we have the remaining -> 'is divided by 8'.
The equation will become :-
[tex] \sf \:( p - 17) \div 8[/tex]
Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.
So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.
________
Hope it helps.
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4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.
Answer:
1808.64 IN^3
Step-by-step explanation:
Helium needed = volume of spherical shaped ice cream + volume of cone
Volume of a sphere = 4/3 x pi x r^3
4/3 x 3.14 x 6^3 = 904.32 ft^3
Volume of a cone 1/3 x (nr^2h)
n = 22/7
r = radius = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
h = height
1/3 x 3.14 x 6^2 x 24 = 904.32
helium needed = 2 x 904.32 = 1808.64 in^3
(2.8•10^8)(1.9•10^4)
Answer: 5.32 × 10^12
Step-by-step explanation:
This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:
= (2.8•10^8)(1.9•10^4)
= (2.8 × 1.9) × 10^8+4
= 5.32 × 10^12
Therefore, the answer to the question will be 5.32 × 10^12.
Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?
A: $240.31
B: $245.83
C: $230.12
D: $229.81
ANSWER:
245.83
Step-by-step explanation:
16,780/100=167.8
167.8 x 1.465= 245.827
Using unitary method, Adam's monthly payment is 245.83 dollar.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.
Learn more about unitary method here
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I need help! :) +no links please and thank you!
Answer:
Step-by-step explanation:
(14×2)+(14×4)
7×(3+5)
c, e and g
Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range
==========================================================
Explanation:
The box plot, aka "box-and-whisker plot", visually represents five things. These things are:
MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximumThis list of five items is known as the five number summary.
The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.
--------
Since the box plot lets us know the min and max, we can compute the range because
range = max - min
and we can also calculate the interquartile range (IQR) because
IQR = Q3 - Q1
--------
So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.
We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.
In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.
The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80
Answer:
A. 91
Step-by-step explanation:
Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180
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Find the length of side y.
y=_ft
Answer:
y= 18.582
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What is the median of this list of grades: 78,55,98,86,92,70,60 ?
Answer:
the median of this list is 78
Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.
Answer:
the consecutive numbers are: 23, 25, 27, 29, 31.
Step-by-step explanation:
23+25+27 is 75
29+31 is 60
75-60 is 15
20 POINT!!
Can someone help me I don’t understand it at all
Answer:
second
Step-by-step explanation:
substitute y=6 and x=1 in the given relations and see if works
y=2x will be 6 = 2*1 false
y=x+5 will be 6 = 1+5 true
because this is true check all the other y and x and if all true is good
7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good
y=2x+1 will be 6=2*1+1 false
y=3x+1 will be 6=3*1+1 false
Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.
Answer:
48pi
Step-by-step explanation:
pi x 8² - pi x 4²
64pi - 16pi
48pi
1
A train trip took 4 hours. For the trip, the train traveled at 60 kilometers per hour. For the
2
rest of the trip, the train traveled at 100 kilometers per hour. How far did the train travel
in all?
Answer:
320 kilometers
Step-by-step explanation:
1/2 -- (60 * 2) = 120 km
rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km
Therefore, 120 + 200 = 320 km
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A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 73.5}{5.1}[/tex]
[tex]Z = -0.88[/tex]
[tex]Z = -0.88[/tex] has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
HELP ASAP WILL GIVE MOST BRANILIST