Answer:
Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.
How do you add these two consecutive triangular numbers?
TR(4)+TR(3)
The n-th trianglar number is given by
[tex]T_n = \dfrac{n(n+1)}2[/tex]
Then
[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]
Alternatively, the triangular numbers are defined recursively by
[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]
This means
[tex]T_1=1[/tex]
[tex]T_2 = T_1 + 2 = 3[/tex]
[tex]T_3 = T_2 + 3 = 6[/tex]
[tex]T_4 = T_3 + 4 = 10[/tex]
so that
[tex]T_3+T_4=\boxed{16}[/tex]
Simplify this question
Step-by-step explanation:
9x²/3x + 12x/3x + 1
= 3x/1 + 4/1 + 1
= 3x + 5
I hope this is true..
Over the closed interval [3, 8], for which function can the extreme value theorem be applied?
Answer:
ITS C
Step-by-step explanation:
trust
evaluate the following expression. you should do this problem without a calculator e^In3
The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The expression is given below.
[tex]\rightarrow e^{\ln3}[/tex]
We know the formula
[tex]\rm e^{\ln x} = x[/tex]
Then the expression can be written as
[tex]e^{\ln3} = 3[/tex]
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You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.
Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.
The other parameters are given as follows:
[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].
Hence the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]
The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
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John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.
The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d
Calculating weightFrom the question, we are to determine the jar that weighs more
From the given information
His jar of pennies weighs 84.96 ounces
and his jar of nickels weighs 3.11 kilograms
First, we will 84.96 ounces to kilogram
From the given conversion,
There are 0.0283495 kilograms per ounce
That is, 0.0283495 kg = 1 ounce
If 1 ounce = 0.0283495 kg
Then,
84.96 ounces = 84.96 × 0.0283495 kg
∴ 84.96 ounces = 2.4086 kg
His jar of pennies weighs 2.4086 kg
Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.
3.11 kg - 2.4086 kg = 0.7014 kg
Convert 0.7014 kg to pounds
1kg = 2.20462 pounds
∴ 0.7014 kg = 0.7014 × 2.20462 pounds
0.7014kg ≅ 1.55 pounds
Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.
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its wrong someone help me with it
Answer:
the answer is π^8
Step-by-step explanation:
the math program has got some bugs in it. See your teacher and tell him or her about it
Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?
Answer:
The answer is 243
Step-by-step explanation:
Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.
Hope this helps!
would you please help me?
Answer:
52
x 6
300 6 x 5 tens
+12 6 x 2 ones
312
whats the 8th term of 12,18,27
Answer:
205.03125.
Step-by-step explanation:
18/12 = 1.5
27/18 = 1.5
This is geometric with nth term = ar^(n-1)
Here first term a = 12 and common ratio r = 1.5, so
The 8th term = 12(1.5)^(8-1)
= 205.03125
#8 HELP IM STUCK ON THIS
Answer:
12 ft
Step-by-step explanation:
for the model is 1 and the actual is 5
conversion yards to feet
3 feet = 1 yard
20 * 3 = 60
60/5 = 12
your answers 12 ft
hope this helps:)
I need help what is (4÷5×x) what I x
Answer:
0.8x
Step-by-step explanation:
According to BODMAS,
Step 1 :
4 ÷ 5
= 4 / 5
= 0.8
Step 2 : Multiply x.
0.8 * x = 0.8x
Answer:
Step one
4 ÷ 5
= 4/5
= 0.8
Step two = 0.8 * x
= 0.8x
Use formulas to find the lateral area and surface area of the given prism. Round your answer to
the nearest whole number. The figure is not drawn to scale. The bases are right triangles.
8.94 m
4m
8m
41 m
Answer:
The answer is option B
[tex]859[/tex] [tex]m^2[/tex] [tex],[/tex] [tex]891[/tex] [tex]m^2[/tex]
Step-by-step explanation:
Step 1
Find the lateral area
we know that
The formula to calculate the lateral area is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base of the prism
h is the height of the prism
In this problem we have
[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]
[tex]h=41[/tex] [tex]m[/tex]
substitute in the formula
[tex]LA=20.94*41=858.54[/tex] [tex]m^2[/tex]
[tex]LA=859[/tex] [tex]m^2[/tex]
Step 2
Find the surface area
we know that
The formula to calculate the surface area is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base of the prism
h is the height of the prism
In this problem we have
[tex]B=8*4/4=8[/tex] [tex]m^2[/tex]
[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]
[tex]h=41[/tex] [tex]m[/tex]
substitute in the formula
[tex]SA=4(8)+20.94*41=890.54[/tex] [tex]m^2[/tex]
[tex]SA=891[/tex] [tex]m^2[/tex]
Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78
Answer:
[tex]CI=\{2.5053,3.2147\}[/tex]
Step-by-step explanation:
Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],
[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]
Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147
sin(-17pi/6)
How do I solve this
Answer:
if you have a graphing calculator you can just plug the whole equasion in. the anser I got was -0.1547307191
Step-by-step explanation:
to get pie you have to hit second and then ^
Identify the terms, coefficients, and constants in the expression 20x+13.
Answer: coeficient is 20 and the constant which is 13
Step-by-step explanation:
Can someone solve this please
Answer:
4x + 5x = 180
9x = 180
x = 180/9
x = 180 ÷ 9
x = 20
help giving branliest
Answer:
a
34
b
17
c
46
Step-by-step explanation:
a
Lowest age = 21
Highest age = 55
Range = 34
b
Add them all together and you get 17
c
Median is middle
17 total people
Formula for median:
(n + 1)/2 = th
n is the total
17 + 1 is 18
18 halved is the 9th number
The 9th number is 46
4. Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and each drink cost $2.50. The expression 2x + 2.5y gives the total amount of money spent by Andrew on chips and drinks. What is the meaning of the term 2.5y?
A. The number of chips plechased by Andrew
B. The cost of one drink
C. The total amount spent on drinks by Andrew
D. The number of drinks purchased by Andrew
Answer:
The answer is C, the total amount spent on drinks
Add.
Your answer should be an expanded polynomial in standard form.
(8r^27r-9) + (−r²+ r) =
The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.
What is the Standard Form of a Polynomial?The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.
Given the polynomial:
(8r² - 7r - 9) + (-r² + r)
Distribute to open the bracket
8r² - 7r - 9 - r² + r
Combine like terms
7r² - 6r - 9 (standard form)
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What is an equation of a line that perpendicular to y=8x-3?
Question 4 options:
y=8x + 10
y=10x - 3
y= -1/-8 (-3)
y= -1/-8 +1
Hi Student!
Reading the question we can pull out specific bits of information that would help us find our answer. One of the bits of information that is useful is that we are trying to find the perpendicular line. However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line. Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.
Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line. In order to find that we first need to negate our slope which would turn our 8 into a -8. The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8. Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.
Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?
Step-by-step explanation:
Stephanie has spent $150
she has saved $90
and owes her brother$40
Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°
Based on the calculations, the measure of angle YUV is equal to 42°.
What is a line segment?A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.
Based on the information given, we can deduce the following:
O is center of circle (∠YUO = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)From triangle UOV, we have:
∠OUV + ∠OUV + ∠UOV = 180°
2OUV + 84 = 180
2OUV = 180 - 84
2OUV = 96
OUV = 96/2
OUV = 48°
Now, we can determine the measure of angle YUV:
∠YUV = ∠YUO - ∠OUV
∠YUV = 90 - 48
∠YUV = 42°.
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Answer:
42
Step-by-step explanation:
Find the distance between y=7 and y=-1
Answer:
Er I think it’s 8 but not sure
Step-by-step explanation:
Which of these describes how the function is increasing and decreasing?
Answer:
increasing from -2 to +∞
Step-by-step explanation:
The graph starts at -2 and continues to the right which means it increases from -2.
Answer:
Increasing from -2 to positive infinity.
Step-by-step explanation: This is because this is the graph of the square root of x + 2. It will increase from -2 in the x range and eventually hit every single x value from -2 to positive infinity.
i need some help with this
Answer:
x + y = 4
substitute (-A, 2B) in the equation.
-A + 2B = 4
substitute (3A-2, 3-B) in the equation
3A-2 + 3-B = 4
Use elimination method and hence multiply the first substituted equation by 3
-3A + 6B = 12
3A-2 + 3-B = 4
-2 + 3 + 5B = 16
5B = 15
B = 3
Substitute value of B in any of the equations
and hence A = 2
What is the quotient? startfraction 2 y squared minus 6 y minus 20 over 4 y 12 endfraction divided by startfraction y squared 5 y 6 over 3 y squared 18 y 27 endfraction startfraction 2 over 3 (y minus 5) endfraction startfraction 3 (y minus 5) over 2 endfraction startfraction (y minus 5) (y 2) squared over 6 (y 3) squared endfraction startfraction 3 (y 5) (y minus 2) over 2 (y 2) endfraction
The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2
What is a Quotient?Quotient can be described as the result you get from dividing a term by another term.
Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)
Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)
Change the division sign to multiplication sign and turn the second fraction upside down
(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)
Bringing out the common terms, we would have:
2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)
Factorize
2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)
Cancel out common factors
= 3(y - 5)/2
Quotient = 3(y - 5)/2
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Answer:b
Step-by-step explanation:
lol
John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?
Answer:
64 Ounces
Step-by-step explanation:
64 Ounces of hot dogs
Answer:
64 oz
Step-by-step explanation:
1 lb = 16 oz
4 × 1 lb = 4 × 16 oz = 64 oz
Find the surface area of the square pyramid.
A) 35 ft^2
B) 30 ft^2
C) 45 ft^2
D) 20 ft^2
Area of base
side²5²25ft²Area of one triangle side
1/2(2)(5)=5ft²Area of 4 sides
5(4)=20ft²TSA
20+25=45ft²
Answer:
C) 45 ft²
Step-by-step explanation:
Formulae
Area of a square = x² (where x is the side length)
Area of a triangle = 1/2 × base × height
The surface area of a square pyramid comprises:
square base4 congruent triangles⇒ area of square base = 5² = 25 ft²
⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²
⇒ Total surface area = area of square base + 4 triangular areas
= 25 + 4(5)
= 25 + 20
= 45 ft²
If the dimensions of a rectangular prism are 10 cm x 5 cm x 7 cm, what is
the surface area?
Answer:
310
Step-by-step explanation:
Multiply the l/w/h x 2