Answer:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.
4. Celina babysat for 5 hours and earned $27. what's her pay per hour?
What is the consumer price index
Answer:
The Consumer Price Index (CPI) is a measure of the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services.
Step-by-step explanation:
How many 1- foot rulers laid end to end would it take to equal 9 yards?
Answer: 27
Step-by-step explanation: hope this help
Emily has a box shaped like a rectangular prism that is full of sugar cubes. Each sugar cube has a volume of 1 cubic centimeter. The top layer has a width of 6 cm and a length of 11 cm. There are 3 layers of sugar cubes.
Answer:
198
Step-by-step explanation:
11x6=66x3=198
Hope this helps! :)
Please please help please
Answer: 72 feet
Step-by-step explanation:
24 yards= 72 feet
The percentage of married couples who own a single family home is 33% for a given population. A financial analyst is interested in the impact that home mortgages have on a couple's finances. As the financial analyst sets up a study, they are curious about the impact of sample size. What is the standard error of the sampling distribution of sample proportions for samples of size n=200, n=300, and n=400? Round all answers to the nearest thousandths if applicable.
Answer:
For samples of size n=200, the standard error is of 0.033.
For samples of size n=300, the standard error is of 0.027.
For samples of size n=400, the standard error is of 0.024.
Step-by-step explanation:
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The percentage of married couples who own a single family home is 33% for a given population.
This means that [tex]p = 0.33[/tex]
Samples of 200:
[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]
For samples of size n=200, the standard error is of 0.033.
Samples of 300:
[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]
For samples of size n=300, the standard error is of 0.027.
Samples of 400:
[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]
For samples of size n=400, the standard error is of 0.024.
I NEED HELP ASAP PLEASEEEE!!!!! The total surface area of the triangular prism is
Answer:
560
Step-by-step explanation:
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?
Answer:
106
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
(14 x 7) + 8 = 106
Helppppppppppppppppppppppppppppppppppp
Answer:
acute.... ....... .. . ......
make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be
Answer:
Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles
Why is 10^5/10^4 equal to 10^11? Explain or show your thinking
Answer:
It does not because if you solve the first equation you get 10 so it will not equal to 10^11
Step-by-step explanation:
find the lateral surface area of the prism. geometry hw
Answer:
250
Step-by-step explanation:
Hello There!
The prism shown is a pentagonal prism
And we need to find the lateral surface area ( pretty much area of everything except for the bases.)
We can calculate the lateral surface area by using this formula
[tex]la=5ah[/tex]
where a (on the right hand side) equals the base edge length and h = height
(btw the 5 represents the number of sides)
so the base edge length of the shown figure is 5 and the height is 10
having found this information we plug it into the formula
[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]
so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²
For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10
The function f(x) = 2x² - 7x + 10 is an odd function.
f(-x) = 2(-x)² - 7(-x) + 10
= 2x² + 7x + 10
-f(x) = -[2x²- 7x + 10]
= -2x² + 7x - 10
To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).
1. f(-x) = 2x² + 7x + 10
2. -f(x) = -2x² + 7x - 10
To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.
1. f(-x) = 2x² + 7x + 10
= f(x) (not equal to -f(x))
Since f(-x) is not equal to -f(x), the function is not even.
Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.
2. -f(x) = -2x² + 7x - 10
= -(2x² - 7x + 10)
= -(f(x))
Since -f(x) is equal to -(f(x)), the function is odd.
For more such questions on odd, click on:
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What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why
A. 1/2x + 7
B. x + 7
C. 1/4X - 3
D.1/2x - 3
Answer:
D. 1/2x - 3Step-by-step explanation:
(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3Correct choice is D
Learning Check Evaluate Algebraic Expressions Substitute for the given values. Then, solve using the order 2x + 10 when x = 5
Answer:
20
Step-by-step explanation:
2(5)+10=20
[tex]\huge \colorbox{pink}{Mathematics}[/tex]
2x + 10 when x = 5
Solution[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]
Answer: 20Correct me if I'm wrong
I hope it helps ^_^
Use a calculator to find the natural logarithm, base e.
In 744.1
Answer:
6.612175434403215
Step-by-step explanation:
This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT
The equation of the line is y = 9x. The correct answer is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
the points of line are (1,9) and (0,0).
Now,
In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:
m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9
Then we can use the point-slope form with any of the given points. Let’s use (0, 0):
y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x
This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.
Therefore, the equation of the line will be y = 9x.
Learn more about equations here;
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Find the future value and interest eared if $8906.54 is invested for 8 years at 5% compounded semiannually
Answer:
ummm yes 19293
Step-by-step explanation:
Joe's math homework took 20 minutes to complete. If Joe finished his homework at 8:40 P.M., what time did he start his homework?
Question 3
Convert the following proportion score to a percentage: .3852
Answer:
The percentage score is 38.52%
Step-by-step explanation:
Conversion of a proportion to a percentage:
To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.
In this question:
Proportion .3852
0.3852*100% = 38.52%
The percentage score is 38.52%
WILL GIVE BRAINLIEST! How many possibilities of HELPS are there?
Answer:
8 helpd
Step-by-step explanation:
i know it iv had probability b4
Write a rule to describe the transformation.
A(-2,-2), B(-3,2), C(-2,2), D(3,0)
A(-3,-3), B'(-4.5,3), C'(-3,3), D'(4.5,0)
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
What's The Strangest Thing In Your Refrigerator?
Answer:
a bottle of eye juice lol no explanation
Step-by-step explanation:
Use the Quadratic Formula to solve the equation x^2-15=2x
Answer:
x= -3
y= 5
Explanation:
Move the 2x to the left by subtracting it by itself
you should get x^2 -15 - 2x =0
That's it in standard form
Simplest form of a3b3c a-3b-3c-1
Answer:
a-6b-6c-2
Step-by-step explanation:
Professor Gym conducts a study in which he determines that there is a correlation of +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell him?
Answer:
Formula
r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}
r = correlation coefficient
x_{i} = values of the x-variable in a sample
\bar{x} = mean of the values of the x-variable
y_{i} = values of the y-variable in a sample
\bar{y} = mean of the values of the y-variable
now try btw use a calcutator
CYU/LP 15-1&2 SIMILAR FIGURES
5 of 7 5 of 7 Items
What is the common ratio(scale factor) of side AD to side WZ?
4/8
4/6
15/6
5/2
Answer:
Option 4
Step-by-step explanation:
Both the quadrilaterals are similar,
ABCD ~ WXYZ
Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.
Scale factor = [tex]\frac{AD}{WZ}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
Therefore, option (4) will be the correct option.
help me!!!!!!!!!!!!!
8/7 ( x - 100/220) + 4 ( x + 8/9) = 38
Microsoft wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 50 customers and asks them about their level of satisfaction with the company. What type of sampling is used? A. Systematic B. Convenience C. Simple random D. Cluster E. Stratified
Answer:
Simple random
Step-by-step explanation:
There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.