Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs 111111 kilograms, and Ruth is lighter than Scoonsie.
Write an inequality that describes r, Ruth's weight in kilograms.
Answer:
[tex]r < 11[/tex]
Step-by-step explanation:
Given
Represent Ruth with r and Scoonsie with s
[tex]s = 11kg[/tex]
Required
Represent Ruth's weight as an inequality
From the question, Ruth weighs lesser than Scoonsie. This is represented as:
[tex]Ruth < Scoonsie[/tex]
For proper representation, it is:
[tex]r < s[/tex]
Substitute 11 for s
[tex]r < 11[/tex]
The above inequality represents Ruth's weight
Tara needs an $8,000 personal loan.
Which loan option would require her to pay back the least amount of money?
36-month loan with a 9% annual simple interest rate
42-month loan with a 7% annual simple interest rate
48-month loan with an 8% annual simple interest rate.
54-month loan with a 6% annual simple interest rate
The least amount is paid back in a 42-month loan with a 7% annual simple interest rate.
What is simple interest?The term simple interest refers to a type of interest that is paid only on the principal and not on the interest. We have to note that the time and the interest rate all contribute to increasing the amount of money to be paid back.
In the first case, the amount to be paid back is;
A = $8,000 + ($8,000 * 9 * 3/100)
= $10160
In the second case;
A = $8,000 + ( $8,000 * 7 * 3.5/100)
A =$ 9960
In the third case;
A = $8,000 + ($8,000 * 8 *4/100)
A = $10560
In the fourth case;
A = $8,000 + ($8,000 * 6 * 4.5/100)
A = $10160
Hence, the least amount is paid back in a 42-month loan with a 7% annual simple interest rate.
Learn more about simple interest: https://brainly.com/question/26437826?
Jacob spent 24% of his allowance last week. What fraction of his allowance did Jacob spend? Write the answer in simplest form.
6/25
Step-by-step explanation:
24/100
both can be multiplyed or divided by 4 and that is the lowest.
so
24÷4=6
100÷4=25
In a triangle, the sum of the lengths of any two legs must be ______________ the length of the third leg.
Plz help this is due in 40 minutes
Answer:
Step-by-step explanation:
Sum of two sides must be longer than the third.
The sum of three numbers is 15 the second number is 2 times the first the 3rd nimber is 30 less than the second what is the third number
Answer:
i think about it
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest tenth. The circle has a radius of 9
Answer:
I is at least ten because of nine it rounds to ten
Suppose that the mean Systolic blood pressure for adults age 50-54 is 125 mmHg with a standard deviation of 5 mmHg. It is known that Systolic blood pressure is not Normally distributed. Suppose a sample of 25 adult Systolic blood pressure measurements is taken from the population. What is the interpretation of the z score used to find the probability that the average Systolic blood pressure will be less than 122 mmHg
Answer:
The probability cannot be determined.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
We have a sample of size less than 30, and since the distribution is not normal, the central limit theorem cannot be used, and the probability cannot be determined.
What is 0.000000000525 in scientific notation?
A.
B.
C.
D.
Answer: Hello there!
It is 5.25 x .10^-10
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Steven and Mark each carried 48 ounces of juice for trekking. At the end of their journey, Steven's juice bottle was 3/4 empty and Mark's bottle was 2/3 empty. Which of the following sentences is correct?
A. 28 ounces of juice was remaining at the end of their journey.
B. 4 ounces of juice was left at the end of their journey.
C. Mark drank 36 ounces of juice during the journey.
D. Steven drank 32 ounces of juice during the journey.
Answer:
A, C and DStep-by-step explanation:
Initial volume of juice = 48 ounces each
Mark
Used: 48*3/4 = 36 ouncesLeft: 48 - 36= 12 ouncesSteven
Used: 48*2/3 = 32 ouncesLeft: 48 - 32 = 16 ouncesTotal remaining juice: 12 + 16 = 28 ounces
Correct choices: A, C and D
Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?
Answer: 8 months.
Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.
Answer:
8 mounths
Step-by-step explanation:
Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...
360 / 45 = 8
Given the area of a circle to be 10 inches^2 what is the radius and the diameter the circumference
Answer:
Radius = 1.78 inches
Diameter = 3.56 inches
Circumference = 11.18 inches
Step-by-step explanation:
Area of circle = 10 inches square
[tex]\pi r^2 = 10\\r^2 = \frac{10}{3.14}\\r^2 = 3.18\\\sqrt{r^2}=\sqrt{3.18}\\r=1.78[/tex]
Radius = 1.78 inches
Diameter = 2r = 2(1.78) = 3.56 inches
Circumference = 2πr = 2*3.14*1.78 = 11.18 inches
Lin ran 2 3/4 miles in 2/5 of an hour
Noah ran 8 2/3 miles in 4/3 of an hour
Who ran faster?
Answer:
Lin runs faster
Step-by-step explanation:
Lin: 11/4 ÷ 2/5 = 11/4 · 5/2 = 55/8 or 6.875 mph
Noah: 26/3 ÷ 4/3 = 26/3 · 3/4 = 13/2 or 6.5 mph
Please solve this for 15 points explain please
Answer:
1.25 cups
Step-by-step explanation:
Since you have 5 5/8 cups = 4 1/2 water bottles
you can make it
5.625 cups = 4.5 water bottles
Then, all you have to do is divide both sides of this equation by 4.5, so
5.625 / 4.5 = 1 water bottle
1.25 cups = 1 water bottle
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
(-3/4) divided by 2/9 =
Please show steps.
Answer:
-27/8
Step-by-step explanation:
Dividing fractions is the same as multipling the first fraction by the reciprocal of the second fraction (the numerator and denomiator are flipped).
= -3/4 x 9/2
= -27/8
You can simplify this if you want so it's not a mixed fraction
= -3 3/8
Fill in the blank to make the number sentence true. Explain how you know. ?/3 x 11 > 11
Answer:
6
Step-by-step explanation:
Answer:
6/3 x 11 > 11
Step-by-step explanation:
He be having more drip thin connies
Answer:
i dont even know to be honest but why ask dat
Step-by-step explanation:
Answer:
He validdddddddd
Solve for x. (11x-47) (6x-2)
Answer:
6 6 2 − 3 0 4 + 9 4
Step-by-step explanation:
Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?
Answer:
0.32
Step-by-step explanation:
just divide
Answer:
$6
Step-by-step explanation:
25%= 1/4
8 divided by 4 =2
$2 is what is taken off
$8-$2 which is $6
Samuel is going to invest $1,700 and leave it in an account for 16 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Samuel to end up with $3,100?
Answer:
4%
Step-by-step explanation:
Given data
principal= $1,700
time= 16 years
final amount= $3,100
Applying the compound interest formula we have
r = (A/P)^1/t - 1
substitute
r=3100/1700^1/16-1
r=1.82^0.0625-1
r=1.038-1
r=0.038
Hence the rate is 0.038*100
=3.8
=4%
Answer: 3.8%
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
what kind of figurative language is stanza 86?
86. Is heard the tramp of his steed as he rides.
Hiiiii wassup I need helppppp T-T
What do the words “some number less” mean?
Answer: a # less i beleavie...
adjective. innumerable; countless; myriad. without anumber
This question is geometry
Answer:
Its 138
Step-by-step explanation:
LOL
Choose the slope-intercept from of Y+3=4(x-5)
Answer:
y=4x-23
Step-by-step explanation:
The probability of eating a sugar cookie is 0/35
the chance of eating a sugar cookie is ____
Answer:
0
Step-by-step explanation:
Well if the probability is 0 then the chance is 0
Which ordered pair is the solution to the system of linear equations y=-7x+2 and y = 9x-14?
(-5,1)
(1.-5)
(5,-1)
O (-1.5)
Answer:
(1,-5)
Step-by-step explanation:
you see ; equation 1 = equation 2
because it both = y
so,
-7x+2 = 9x-14
2+14 = 9x+7x (change side for easier solutions)
16 = 16x
x = 16÷16
x = 1
you can find x, so from choice it has only choice that x = 1
so you can answer!
hope it helps ☺️
40 POINTS PLEASE HELP
Answer:
Step-by-step explanation:
Y = 10
C = 40
D = 76
Answer: Okay found the answer hope I am not too late
Step-by-step explanation:
Y is 10
C is 40
D is 76
Hope this helps!
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
b
Step-by-step explanation:
Answer:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Checking option A:
(2, 4), (0, 2), (2, -4), (5,3)
Here, the input x = 2 is repeated twice.
Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option B:
(1,6), (2,7),(4,9), (0,5)
It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.
Thus, the option B represents the function.
Checking option C:
(0, 2), (2, 3), (0, -2), (4,1)
Here, the input x = 0 is repeated twice.
Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option D:
(1, 2), (1, -2), (3, 2), (3, 4)
Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,
Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.
Conclusion:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
A manager has hired a consultant to compare two ways a product is presented to customers. Twelve customers are presented with each product. What would be the roles of descriptive and inferential statistics in the analysis of these data
Answer:
The role of descriptive statistics in data analysis is to provide descriptions of the population characteristics, using numerical calculations, graphs, and tables. Descriptive statistics describe what is going on in a population or data set.
On the other hand, inferential statistics make predictions and draw inferences about a population using the population sample.
Step-by-step explanation:
The two types of statistics are descriptive statistics and inferential statistics. Descriptive statistics describe sets of data, allowing patterns to emerge from the data. These also enable the presentation of the data in a more meaningful way, allowing for simpler interpretation of the data. Two types of descriptive statistics help in this regard. They are measures of central tendencies and measures of spread. Inferential statistics draws conclusions about the sets of data based on sampling, allowing for the making of generalizations and testing of hypotheses.
Find the inverse of the following function. g(x) = 1/x - 2
plz show work
A.) g^-1(x) = - 2/x-1
B.) g^-1(x) = 2/x-1
C.)g^-1(x) = 1/x+ 2
D.) g^-1(x) = 2/x+1
Answer: C. g^(-1) (x)= 1/(x+ 2)
Step-by-step explanation:
y=1/x-2
x=1/y-2
1/y-2=x
1/y=x+2
1=(x+2)y
1=xy+2y
xy+2y=1
(x+2)y=1
y=1/(x+2)
answer: g^(-1) (x)= 1/(x+ 2)