Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?
Answer: five and a half weeks.
Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5
The circumference of a circular painting is 40.82 feet. What is the radius of the painting? Use 3.14 for pie and do not round your answer.
Answer:
The radius is equal to 6.5 feet.
Step-by-step explanation:
To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...
2πr = 40.82
πr = 20.41
3.14r = 20.41
r = 6.5
Now we know that the radius is equal to 6.5 feet.
Find the area of the polygon shown. Enter the number into the box.
ft? 1 ft 4 ft 4 ft
Answer:
The area of the trapezium is 18 ft²
Step-by-step explanation:
Given;
Two parallel sides of the polygon as follows;
The first parallel side = 1 ft + 4 ft = 5 ft
The second parallel side = 4 ft
If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.
The area of a trapezium is calculated as;
[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]
Therefore, the area of the trapezium is 18 ft²
All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample
to make a statistical inference about the mean of the normally distributed population from which it was drawn?
zes
ME=
O The margin of error is multiplied by 0.5
O The margin of error is multiplied by a
O The margin of error is multiplied by 0.5.
O The margin of error is multiplied by 2.
Answer:
The margin of error is multiplied by 4.
Step-by-step explanation:
Margin of error is:
[tex]M = \frac{zs}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s is elated to the standard deviation and n is the sample size.
From this, we have that the standard deviation is inversely proportional to the square root of the sample size.
If you cut the sample size in half:
The margin of error is inversely proportional to the square root of the sample size, so if you cut the sample size by [tex]\frac{1}{2}[/tex], the margin of error will be multiplied by [tex]2^2 = 4[/tex]
So
The margin of error is multiplied by 4.
is 2/5 greater than 3/7
Answer:
3/7 is greater than 2/5
Step-by-step explanation:
If you convert the fractions into decimals:
3/7=0.42
2/5=0.4
0.42 is greater than 0.4
What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?
Answer:
[tex]S_{10} = 682[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 6; r = 2[/tex]
Required
[tex]S_{10[/tex]
This is calculated as:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]
[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]
[tex]S_{10} = \frac{6 * 1023}{9}[/tex]
[tex]S_{10} = 682[/tex]
6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answer:
Try A
Step-by-step explanation:
382.4cm
Help solve the problem pls
Answer:
x = 2
Step-by-step explanation:
Inverse variation between x and y can be represented as:
xy = k
Where k is the constant of proportionality.
If x = 1 when y = 11, the constant of proportionality, k, would be:
1*11 = k
k = 11
To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k
Thus:
x*5.5 = 11
Divide both sides by 5.5
x = 11/5.5
x = 2
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
Complete question :
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?
Answer:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic = - 1.563
Critical value = ±2.023
Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs
Step-by-step explanation:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic, Z :
(Xbar - μ) / (s/√n)
(6.4 - 7) / (2.4276/√40)
-0.6 / 0.3838372
T= -1.563
α = 0.05 ; df = n - 1 = 40 - 1 = 39
Critical value(0.05, 39) = ±2.023
|T| > +Tcritical ; Reject the Null
Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.
Convert x=-3 to polar equation
How many children would you need to invite to the party for the cost to be the same both places
Answer:
4 children
Step-by-step explanation:
Let the number of children = c.
The cost of the pizza place for c children (without the fee) = 8c
The cost of the pizza place for c children (with the fee) = 8c+30
The cost of the taco place for c children (without the fee) = 12c
The cost of the taco place for c children (with the fee) = 12c+14
To find c when the totals are equal, set 8c+30 equal to 12c+14 and solve:
8c+30=12c+14
8c-12c=14-30
-4c=-16
c=4
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voters whether they support the bond referendum. The standard error of the sample proportion is _____. The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is _____. Group of answer choices 0.0993; 0.6000 0.0993; 0.0951 0.1095; 0.1170 0.1095; 0.8830
Answer:
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
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.
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]
73% of voters support it.
This means that [tex]p = 0.73[/tex]
Sample of 20 voters
This means that [tex]n = 20[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.73[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is
12/20 = 0.6, so this is the p-value of Z when X = 0.6.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]
[tex]Z = -1.31[/tex]
[tex]Z = -1.31[/tex] has a p-value of 0.0951.
So
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951
Given that,
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.
You randomly ask 20 Greensboro voters whether they support the bond referendum.
We have to determine,
The standard error of the sample proportion is.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .
According to the question,
There is a school bond referendum in Greensboro, and 73% of voters support it.
20 Greensboro voters whether they support the bond referendum.
To find standard deviation of sample proportion.
[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
Where, p = 73% = 0.73
And n = 20
Therefore,
[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is,[tex]\dfrac{12}{20 }= 0.6[/tex]
This is the p-value of Z when X = 0.6.
Therefore,
[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]
Z = -1.31 has a p-value of 0.0951.
Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
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Find the missing length indicated
Please help, no links
Answer:
x = 48
Step-by-step explanation:
36/x = x/64
x² = 36 x 64 = 2304
x = √2304 = 48
Please no troll include work
What is the value of the expression shown? 10 - 16:2
[tex]10 - 16 \div 2[/tex]
Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.
Answer:
Area of the figure = 25.7 units²
Step-by-step explanation:
Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD
Area of the rectangle ABCD = Length × Width
= BC × AB
= 8 × 4
= 32 units²
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
r = [tex]\frac{\text{Diameter}}{2}[/tex]
r = [tex]\frac{1}{2}(CD)[/tex]
r = [tex]\frac{4}{2}[/tex]
r = 2 units
Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]
= 2π
= 6.28 units²
Area of the given figure = 32 - 6.28
= 25.72 units²
≈ 25.7 units²
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answer:
B
D
E
[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
What is the perimeter of a square with a side length of 9 meters?
Answer:
36 meters
Step-by-step explanation:
A square has equal side lengths, and a total of 4 sides, so
9 times 4 is equal to 36.
Remember your units!
Complete the function table for each equation
Answer:
y=-32, 0, -16, -4, 16
Step-by-step explanation:
y=4(-6)-8= -32
y=4(2)-8 = 0
y=4(-2)-8 = -16
y=4(1) -8 = -4
y=4(6) -8= 16
For the given equation of the line, the complete table is attached below.
Use the concept of the equation of line defined as:
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
The given equation of a line is,
y = 4x - x
To complete the table:
Put x = -6 in this equation,
y = (-4)(-6) - 8
y = 16
Put x = 2 in the equation,
y = (-4)(2) - 8
y = -16
Put x = -2 in the equation,
y = (-4)(-2) - 8
y = 0
Put x = 1 in the equation,
y = (-4)(1) - 8
y = -12
Put x = 6 in the equation,
y = (-4)(6) - 8
y = -32
The complete table is attached below.
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A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answer:
2.25, or 2 1/4 or 9/4.
Step-by-step explanation:
3/4 times 3 = 9/4
Specialized license plates have seven permissible characters: letters, numbers, a dash (-)
and the ampersand (&). How many custom plates are available?
Answer:
[tex]Total = 38^7[/tex]
Step-by-step explanation:
Given
[tex]Plate\ Number = 7\ characters[/tex]
[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]
[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]
[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]
[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]
Required
Number of possible characters
Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.
The total possible characters (n) is:
[tex]n = 26 +10 + 1 + 1[/tex]
[tex]n = 38[/tex]
Any of the 38 characters can occupy any of the 7 spaces.
Hence, the total number of character is:
[tex]Total = n^7[/tex]
[tex]Total = 38^7[/tex]
You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Calculate what the total bill would be with the sales tax.
Answer:
It's DEFINITELY 2.52
Step-by-step explanation:
Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!
Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?
b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?
c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?
Answer:
-1 5
Step-by-step explanation:
solve the inequality
Answer:
x<3
Step-by-step explanation:
4x-7<5
4x<5+7
4x<12
x<3
Help Plis....................
Answer:
1.30
2. 0 im pretty sure
Step-by-step explanation:
if im wong sry
Only answer if you’re sure, will give Brainly :) thank you
PLZ HELP IWILL GIVE BRAINLIESTTT
Answer:
Choice B
A = b x h
Step-by-step explanation:
In other words the area of a parallelogram is the base times height
The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer
Answer:
200
Step-by-step explanation:
If you multiply 8 by the number 5's square, 25, you get 200
which set of side lengths can form a triangle?
А: 2 cm, 2cm. 6 cm
B:3 cm 6 cm, 9 cm
C:4 cm, 8 cm, 5 cm
D:8 cm, 3 cm, 4 cm
Answer:
C:4 cm, 8 cm, 5 cm
Step-by-step explanation:
sum of length of any two sides of a triangle will be larger than the third side.
PLEASE HELP ITS URGENT Select the correct answer.
Which document do you need to have on hand when preparing to file your tax return ?
Answer:
a it's birth certificate