Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.
Answer:
D) The terms in Pattern B are one half the corresponding terms in Pattern A.
Step-by-step explanation:
Pattern A | Pattern B
0 divided by 1/2 = 0
6 divided by 1/2 = 3
12 divided by 1/2 = 6
18 divided by 1/2 = 9
24 divided by 1/2 = 12
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
Answer: A=48
Step-by-step explanation:
2. Use the distributive property to write an expression that is equivalent to 12 + 4x.
Answer:
4(x+3)
Step-by-step explanation:
So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.
So lets think about it, what goes into both 12 and 4?
2 does, but is that the greatest common factor? No.
What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.
So, what do we get when we take 4 from 4x? We get 1x, or just x.
How about 12? Well, when we take 4 from 12, we get 3.
Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.
Remember that the greatest common factor, the one you took from the other numbers, is what goes first:
4()
Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.
Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:
4(x+3)
This is your expression.
Hope this helps! ;)
9514 1404 393
Answer:
4(3 +x)
Step-by-step explanation:
The greatest common factor is 4, so any divisor of that can be factored out:
12 +4x = 2(6 +2x) = 4(3 +x)
simplify (a-4b)(a-2b)
You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.
Answer:
23.51m is the height
Step-by-step explanation:
the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51
can u plz help me!? i need help
the answer is 4 buses
Step-by-step explanation:
because you multiply 30 times 4 and it gives you you the right answers
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
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.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?
Solve the system: 35x=3y+5 49x=4y+9
PLEASE HELP NEED ASAP
Answer:
x = 1
y =10
Step-by-step explanation:
HELPPPPPP PLZZZ, find the height of the figure below with the given volume.
Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship
Answer:
Larger groups take less time
Step-by-step explanation:
A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
HELP! WILL GIVE BRANLIEST!
Answer: I believe it is 108 good luck girl
Help if you can -
8 commercials in 15 minutes
Find Unit Rate
Plzz show work!
Also, dont add any type of links
Thanks!! :D
Answer:
1.875 commercials a minute
Step-by-step explanation:
What is the lateral area of the cone?
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answer:
40 children went on the cruise.
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 adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
Subjects with pre-existing cardiovascular symptoms who were receiving subitramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 9804 overweight or obese subjects with pre-existing cardiovascular disease and/or type 2 diabetes. The subjects were randomly assigned to subitramine (4905 subjects) or a placebo (4899 subjects) in a double-blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 561 subjects in the subitramine group and 495 subjects in the placebo group. Do the data give good reason to think that there is a difference between the proportions of treatment and placebo subjects who experienced the primary outcome
Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
Which situation results in a final value of zero
Answer:
Step-by-step explanation:
Find the RANGE
135 120 125 133 66 78 81 91 145 135 68
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
A snowstorm dropped three and two-fifths inches of snow. The next day one and four-fifths inches melted, how much snow was left?
Answer:
After the melting there were one and three fifths of snow left.
Step-by-step explanation:
Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:
2/5 = 0.40
4/5 = 0.80
3.40 - 1.80 = X
1.60 = X
0.60 = 3/5
Thus, after the melting there were one and three fifths of snow left.
Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0
Need answer quick please
In line 3, it will be 7x to the power 2 not 4.
So, the answer will be
[tex]{7x}^{2} + 2x - 1[/tex]
I need help
SELECT ALL THAT APPLY.
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
A=3 h(b1 +
+ b2)
A. Rectangle
B. Square
C. Trapezoid
D. Triangle
E. Cube
Answer:
a
Step-by-step explanation:
