Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.
Answer:
30 degrees,30 degrees120, degrees
Step-by-step explanation:
The ratio of the angles is 1:1:4.
Let’s represent the angles by 1x, 1x, and 4x.
The sum of the interior angles of a triangle is 180°.
1x + 1x +4x = 180 Combine like terms.
6 x = 180 Divide each side by 6
x = 30°
1x=1*30=30 degrees
1x=1*30=30 degrees
4x=4*30=120 desgrees
Answer:
30, 30, 120
Step-by-step explanation:
Basic properties of a triangle:
Triangles have 3 sides.The sum of the interior angles of a triangle will always be equal to 180°.The problem:
Find the angle measuresList them in least to greatestGiven information:The ratio of the angles' values are 1:1:4.To solve:
To solve this type of problem, think of the ratio as a variable, x.The ratio would be x:x:4xGiven that revised information, the sum of the interior angles is 6x.Since the sum of the interior angles of a triangle is 180°, 6x = 180°To find x as an individual value, divide both sides of the equation by 6:- 6x = 180- x = 30 Now, to find the angles' values, use the value of x in the ratio to solve:30 : 30 : 120The values of the ratio are your angles!Finally, list from least to greatest and the question is completely answered!ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
DK
Х
AK
140°
B
>C
Angles are not drawn to scale.
Enter
Answer:
the answer would be 40
Step-by-step explanation:
supplementary angles are 180
180-140=40
x=40
Eddie is paid $17.25 per hour for a regular 37-hour week. His overtime rate is 1 times his regular hourly
rate. Use his time card above to find his total pay for the week.
Answer:
$638.25
Step-by-step explanation:
I multiplied 17.25 times 37. The product was $638.25.
I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.
Help me please I have no clue
Answer:
Step-by-step explanation:
You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)
Here you’ll need to use the 30,60,90 degree triangle rule:
The opposite side of 30 degree will be y
30->y
90->2y->12√3 => y=6√3
60->y√3->x => 6√3x√3=6x3=18
To understand the rule better you can check the picture below.Wish it will help you!Good luck!
A doughnut shop wants to determine if there is a difference in donut sales at different times of the day and for different types of doughnuts. They are open in the morning, afternoon, and night, and offer the following flavors: vanilla, chocolate, red velvet, and marbled. There were a total of 48 sales recorded. The shop conducted a two-way ANOVA test and found an F test statistic for Flavor of 14.87. What would be the numerator degree of freedom for the F test statistic to determine if the factor flavor was significant
Solution :
Let
[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4
(4 levels vanilla, chocolate, red velvet and marbled)
The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
Now defining the F test statistics for testing the significance of the factors, 'flavors' :
F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex] , Ms = mean square
where F = [tex]$F_{k_1-1}$[/tex], error df.
Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
please assist me with these multiple choice problems
9514 1404 393
Answer:
12. C
13. D
Step-by-step explanation:
12. For interest r on principal P compounded n times per year for t years, the account balance is ...
A = P(1 +r/n)^(nt)
For P=800, r=0.05, n=365, t=6, this becomes ...
A = 800(1 +0.05/365)^2190 . . . . matches choice C
Note: if you're familiar with the formula, you will notice choice C is the only one with 'n' in the right place.
__
13. The form of an exponential function is ...
y = a·b^x . . . . . . . . where 'a' is the initial value, and 'b' is the growth factor
The form of the equation eliminates choices A and B.
Here, the initial value is 1.87, eliminating choice C.
Matching the problem statement to the form of the exponential function we see that the equation of choice D is appropriate.
0.2 MATH PROBLEM HERE!!,,,,,,,,,.
A rectangular field is 24 yards in length and 81 feet in width.
What is the area of the field in square feet?
What is the area of the field in square yards?
Aisha recorded the heights, in centimetres, of some girls.
She used her results to work out the information in this table,
Least height
142 cm
Lower quartile
154 cm
Interquartile range
17 cm
Median
162 cm
Range
40 cm
Aisha drew this box plot for the information in the table.
The box plot is not fully correct.
130
140
180
190
150 160 170
Height (centimetres)
Write down the two things Aisha should do to make the box plot fully correct.
Answer:
The median is marked at 161cm instead of 162cm.
The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.
Median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
What is box plot?Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
Least height - 142 cm
Lower quartile - 154 cm
Inter quartile range - 17 cm
Median - 162 cm
Range - 40 cm
The higher quartile can be calculated as
Higher quartile = Lower quartile + Inter quartile range
⇒ Higher quartile = [tex]154+17[/tex]
⇒ Higher quartile = [tex]171[/tex]
From the box plot shown, the values of median and higher quartile are drawn wrong.
In diagram,
The median is at 161 but it should be drawn in 162.The higher quartile is at 172 but it should be drawn in 171.Hence we can conclude that median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
Learn more about box plot here
https://brainly.com/question/12591498
#SPJ2
Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
Step-by-step explanation:
Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:
10.47 / 6.08 = X
1.72 = X
13.88 / 7.48 = X
1.85 = X
Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
all the marbles in a bag for a game two are red and three are blue Sandra will randomly choose one marble from the bag fill in the blank Parts A&B
A: the probability that Sandra would choose a red marble from the break is _ out of _ or ____ it is blank that sounds really choose a red marble from the bag
B: It is ________ that Sandra will choose a red marbLe from the bag
for parts be is it A,B,C,or D
impossible
certain
likely
unlikely
Answer:
i dont know this i will try oh i think it is c i think though
Step-by-step explanation:
i dont know this i will try oh i think it is c i think though
plz anser will give branlist
Answer:
A
Step-by-step explanation:
First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome
A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard distribution of 2 charged purchases. Out of the total number of cardholders about hw many would you expect are charging 27 or more in the study
Answer:
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
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.
Mean of 25 charged purchases and a standard distribution of 2
This means that [tex]\mu = 25, \sigma = 2[/tex]
Proportion above 27
1 subtracted by the pvalue of Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 25}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?
0.1587*100% = 15.87%
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Exit Ticket
1. Draw the angle 150 degrees and
はm
2. cos(45)=
3.sin(150)=
4. tan(120)=
A store Has Clearance Items that have been marked
down by 30% They are
having a sale, advertising an additional 45% Clearance.
of the original price do you
end up paying?
Not sure what I did wrong here I used the formula I was given. However it’s still wrong.
Answer:
sh 75
Step-by-step explanation:
I don't know what's the method but I hope this will help.if it isn't matching the answer in your book, you can ask me I mean you can tell me.
Help me please , thank you so much
The answer is
b. two real solutions
The diameter of a circle is 26 yards. What is the circle's circumference?
Use 3.14 for a
yards
Submit
Answer: 26 yards
Step-by-step explanation: I have a trick i like to use. If its diameter use the number they provide if its radius divide the number by 2.
I'm not sure if it works in every case but you can try it ^^
Complete the sentence.
20 is 40% of
I’m horrible at math-
Answer:
20 is 40% of 50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
c = 20 * [tex]\frac{100}{40}[/tex] = [tex]\frac{2000}{40}[/tex] = [tex]\frac{50}{1}[/tex] = 50
19
Crickets chirp faster when it gets warmer. The number of chirps per minute by crickets (x) is given along
with the surrounding temperature (y):
(10 pts)
#chirps/min 20.0 16.0 19.8 18.4 17.1
Temperature (°F) 88.6
71.6 93.3 84.3 80.6
a)
Find the correlation coefficient, r. Would you say there is a significant linear correlation? Why or
why not?
b)
Give the linear regression equation. Round your numbers to three decimal places,
c)
Use your equation to predict the temperature when a cricket chirps 17 times per minute, or state
that it is inappropriate.
d)
Use your equation to predict the temperature when a cricket chirps 30 times per minute, or state
that it is inappropriate.
e)
Find and interpret the coefficient of determination (r2)
Step-by-step explanation:
Step 1. Enter the data into the lists.
For basic entry of data, see Basic Commands.
cricket1
Step 2. Create a scatter plot of the data.
cricket4
Obviously, there is some scatter to this data. This variability is the norm, rather than the exception when working with biological data sets. Real-life data seldom creates a nice straight line.
Step 3. Choose the Linear Regression Model.
Press STAT, arrow right to CALC, and arrow down to 4: LinReg (ax+b). Hit ENTER. When LinReg appears on the home screen, type the parameters L1, L2, Y1. The Y1 will put the equation into Y= for you.
(Y1 comes from VARS → YVARS, #Function, Y1)
cricket6
cricket7Older OS form.
cricket newNewer OS form.
cricket8
The linear regression equation is
y = 3.41x + 22.85
(answer to part a)
Step 4. Graph the Linear Regression Equation from Y1.
ZOOM #9 ZoomStat to see the graph.
cricket9
(answer to part b)
Step 5. Is this model a "good fit"?
The correlation coefficient, r, is .8320424586 which just barely places the correlation into the "strong" category. (0.8 or greater is a "strong" correlation)
The coefficient of determination, r 2, is .6922946529 which means that 70% of the total variation in y can be explained by the relationship between x and y. The other 30% remains unexplained.
Yes, it is somewhat of a "good fit".
(answer to part c)
a3
Step 6. Extrapolate: (beyond the data set)
If the ground temperature reached 95º, then at what approximate rate would you expect the crickets to be chirping?
Step 7. Interpolate: (within the data set)
With a listening device, you discovered that on a particular morning the crickets were chirping at a rate of 18 chirps per second. What was the approximate ground temperature that morning?
The power equation, type 18, hit ENTER, and the answer will appear at the bottom of the screen.
cricket12
(answer to part e -- the ground
the temperature will be approx. 84.23º F)
Step 8. If the ground temperature should drop to freezing (32º F), what happens to the cricket's chirping?
a4
The TABLE tells us that at 32º F there are 2.68 chirps per second. So, what does this really mean? Are the crickets cold?
These findings are a bit deceiving. At 32º F, the crickets are dead. The lifespan of cricket in a cold climate is very short. The crickets spend the winter as eggs laid in the soil. These eggs hatch in late spring or early summer and tiny immature crickets called nymphs to emerge. Nymphs develop into adults within approximately 90 days. The adults mate and lay eggs in late summer before succumbing to old age or freezing temperatures in the fall.
26)
Ahmed states that as the parabola below is narrower than the parent function, the value of a is
0
PLEASE I WILL MARK BRANLIESTTTTT!!!!! IF U GUVE THE RIGHT ANSWER
Answer:
Ahmed is incorrect. The first thing to note is that if the value of a is 0, than it is not a quadratic function- it is a linear function.
Second thing to not is that a parabola because narrower as the value of a increases, not decreases. If the parabola is narrower than the parent graph, that means a has a value that is greater than 1.
Please remember to brainliets this answer.
The sides of a triangle are in the ratio 1: 2: 4. The difference between the longest side
and the shortest side is 84 cm. What is the perimeter of the triangle?
The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?
Solution:-The sides of a triangle are in the ratio 1: 2: 4. (Given)
Let the three sides of a triangle be x, 2x and 4x respectively.
So,
ATQ ,
4x - x = 84
3x = 84
x = [tex] \bf \frac{84}{3} [/tex]
x = 28[tex] \therefore [/tex] Longest side = 4x = 4 × 28 = 112 cm.
Shortest side = x = 28 cm.
And, the other side = 2x = 2 × 28 = 56 cm
Now, we have to find the perimeter of the triangle.
Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.
The perimeter of the triangle is 196 cm. [Answer]Complete the statements to find the limit. lim x→3 x2 + 2x − 3 x2 + 4x − 5 = The numerator can be factored as . The denominator can be factored as . The common factor of can be divided out of the numerator and denominator. The limit is .
ANSWERS:
1. C
2. D
3. B
4. A
Your choices are all correct.
Numerator: x ² + 2x - 3 = (x + 3) (x - 1)
Denominator: x ² + 4x - 5 = (x + 5) (x - 1)
Common factor: x - 1
Then
lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)
= lim [x → 3] (x + 3) / (x + 5)
= (3 + 3) / (3 + 5)
= 6/8 = 3/4
Answer:
ANSWERS:
1. C
2. D
3. B
4. A
Step-by-step explanation:
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation
conclude?
30 pages, what can you
CA
About 60% of the books have fewer than 150 pages.
B.
About 16% of the books have fewer than 150 pages.
c.
About 95% of the books have more than 150 pages.
D
About 16% of the books have more than 150 pages.
Answer:
B.
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 180, standard deviation = 30.
150 pages:
150 is 180 - 30 = 1 standard deviation below the mean.
We have that approximately 68% of measures are within 1 standard deviation of the mean, so 100 - 68 = 32% are more than one standard deviation.
The normal distribution is symmetric, which means that of those 32%, 32/2 = 16% are more than 1 standard deviation below the mean, that is, below 150.
So the correct answer is given by option B.
calcula el área de la siguiente figura
Answer:
272.5 m²
Step-by-step explanation:
1/2x4x9=18
(9+18)/2=13.5. 13.5x11=148.5
(18+14)/2=16. 16x7=112
12+148.5+112= 272.5
Let the function P represent the population P(d), in thousands, of a colony of insect
d days after first being measured. A model for P is P(d) = 10. (1.08)".
Answer:
(c) and (e) are true
Step-by-step explanation:
Given
[tex]P(d) = 10. (1.08)^d[/tex]
See attachment for complete question
Required
Which of the options is true
(a) 1080 insects on day 1
This implies that d = 1
So, we have:
[tex]P(1) = 10* (1.08)^1[/tex]
[tex]P(1) = 10* 1.08[/tex]
[tex]P(1) = 10.8[/tex]
(a) is incorrect because [tex]P(1) \ne 1080[/tex]
(b) 10800 insects after a week
This implies that [tex]d = 7[/tex]
So, we have:
[tex]P(7) = 10* (1.08)^7[/tex]
[tex]P(7) = 10* 1.71382426878[/tex]
[tex]P(7) = 17.14[/tex]
(b) is incorrect because [tex]P(7) \ne 10800[/tex]
(c): Growth factor per day is 1.08
An exponential factor is represented as:
[tex]y = ab^x[/tex]
Where
b is the growth factor
By comparison:
[tex]b = 1.08[/tex]
Hence, (c) option is true
(d): Growth factor per week is 1.08*7
In (c), we have:
[tex]b = 1.08[/tex] as the daily growth factor
So, the growth factor for n days is:
[tex]Factor = 1.08^n[/tex]
Substitute 7 for n i.e. 7 days
[tex]Factor = 1.08^7[/tex]
So, the growth factor for 7 days is: [tex]1.08^7[/tex] not [tex]1.08*7[/tex]
Hence, (d) option is true
(e): Growth factor per week is 1.08*7
In (c), we have:
[tex]b = 1.08[/tex] as the daily growth factor
For hourly rate, we have:
[tex]Factor = 1.08^\frac{1}{24}[/tex]
Hence, (e) option is true
.
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find , the number of regular fares paid, and , the number of reduced fares paid?
Answer:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of regular fares paid.
y is the number of reduced fares paid.
1,042 total fares were paid
This means that [tex]x + y = 1042[/tex]
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.
This means that:
[tex]1.5x + 0.75y = 1140[/tex]
System of equations:
The system of equations is:
[tex]x + y = 1042[/tex]
[tex]1.5x + 0.75y = 1140[/tex]
help . will mark best answer
answer: infinitely many :)
Cheryl deposits $7,500 into the bank. She cannot withdraw or deposit any more money for 6 years. She earns a 6% interest during that time.
How much interest will she have earned at the end of 6 years?
2,700
What will her new balance be when she is finally able to withdraw her money?
Answer:
See explanation
Step-by-step explanation:
Since banks use compound interest, then we write;
A = P(1 +r)^n
A = amount
P = principal
r= rate
n= time period
P = $7,500
n = 6
r = 6%
Substituting values;
A = P(1 +r)^n
A = 7,500(1 + 6/100)^6
A=$ 10,639
Interest = Amount (A) - Principal(P)
Interest = $ 10,639 - $7,500
Interest = $3139
Her final account balance after six years is $10,639
You need to make 56 servings of Caesar dressing.
Each serving takes 2 teaspoons of crushed garlic.
How many teaspoons of crushed garlic do you need?
Answer:
112 teaspoons of crushed garlic
Step-by-step explanation:
56•2=112
You buy ricotta cheese in 5 lb containers. One batch of cheese ravioli requires 0.2 ounces of ricotta cheese. How many batches can be made with one container? Round down (don't include partial batches).
Answer:
3
Step-by-step explanation:
16 oz= 1 lb
16 oz x 5lbs = 80 oz
80 oz/ 24 oz= 3.33333333
Answer=3 when rounded down