Answers
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2
Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2
Related Questions
Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)
Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.
Answers
This question is incomplete, the complete question is;
Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)
Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.
Test mean
Hypothesized value : 1500
Actual Estimate : 1613.07
DF : 251
Std Dev : 782.626
t Test
prob > |t| 0.0226*
Answer:
the value of the test statistic used to gather evidence against the null hypothesis is 2.29
Step-by-step explanation:
Given the data in the question,
we determine Test statistics of using the formula
t = (x" - μ) / (s/√n)
where;
μ is the theoretical mean ( 1500 )
x" is the observed mean ( 1613.07)
s is the standard deviation ( 782.626 )
n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )
so we substitute
t = (1613.07 - 1500 ) / (782.626 / √252)
t = 113.07 / 49.3008
t = 2.29
Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29
True or False
You can only multiply exponents when the bases are the same.
Answers
Answer:
The answer is false
Answer:
False
Step-by-step explanation:
What fraction is < 3/4 with a denominator of 8
Answers
Answer:
6/8
Step-by-step explanation:
3/4 is equal to 6/8
WILL GIVE BRAINLEST!!!!!! Which system of equations can be solved using this matrix equation?
Answers
Answer:
b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Matrix notation can be confusing, but it's important to remember that systems of equations are typically written as follows:
#x + #y + #z = #
so if there was only one equation it would be written like this:
[tex]\left[\begin{array}{ccc}5&2&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = [16]\\\\5x + 2y + z = 16\\[/tex]
Then just follow the same pattern for the remaining equations
Question 8 of 10
Simplify (7 + 1)2 – (11 + 32) - 4.
Answers
Answer:
Does anyone watch shaurya aur anokhi ki on star plus an Indian serial you'll love it I guarantee
From the top of a building 30 meters high, the angle of elevation to the top of a monument is found to be equal to the angle of depression to the foot of the monument. Find the height of the monument.
Answers
The height of the monument is 30 meters.
We have,
Let's assume the height of the monument is "h" meters.
From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.
In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.
The opposite side of the angle of depression is the height of the monument, which is "h" meters.
Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.
Therefore, the opposite sides are equal in length.
By setting up the equation:
h = 30
Thus,
The height of the monument is 30 meters.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
If Brianna can read 1/4 of her book in 1/2 hour, how much of her book will she read in 1 hour?
Answers
Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. Round your answers to three decimal places (e.g. 98.765)
a) What is the probability that the next change occurs in less than 4.5 days?
P(X <4.5)=
b) What is the probability that the time until the next change is greater 9.5 days? P(X> 9.5) =
c) what is the time of the next change that is exceeded with probability 90%? x = _______day(s)
d) What is the probability that the next change occurs in less than 12.5 days, given that it has not yet occurred after 3.0 days?
Answers
Answer:C
Step-by-step explanation:
What is the area of the figure? I give brainliest and thanks! :)
Answers
Step-by-step explanation:
triangle area is bh/2
(10 x 22)/2=110
area of big rectangle is
length x width=area
19 x 9=171
area of smaller rectangle is
length x width = area
9 x 6=54
add up all areas
110+171+54=335
Hope that helps :)
Ms. Monet gave 2 1/2 cups of red paint to each of her 20 students. How many quarts
of red paint did she give out?
Answers
Explanation:
It takes 4 cups to make a quart so 2.5 would equal 0.625 quart
Then you would take 0.625 x 20 which would then equal 12.5 Quarts
ACED PLEASE HELP I NEED THIS FAST.
Answers
Answer:
The Answer is B
Hope that helps
9 pt = How much fl oz
Answers
Answer:
9 pints would equal 144 ounces
Step-by-step explanation:
Pints
The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.
The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.
Fluid Ounces
The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]
The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..
Pint to Fluid Ounce Conversion Table
Pint measurements converted to fluid ounces
Pints Fluid Ounces
1 pt 16 fl oz
2 pt 32 fl oz
3 pt 48 fl oz
4 pt 64 fl oz
5 pt 80 fl oz
6 pt 96 fl oz
7 pt 112 fl oz
8 pt 128 fl oz
9 pt 144 fl oz
10 pt 160 fl oz
11 pt 176 fl oz
12 pt 192 fl oz
13 pt 208 fl oz
14 pt 224 fl oz
15 pt 240 fl oz
16 pt 256 fl oz
17 pt 272 fl oz
18 pt 288 fl oz
19 pt 304 fl oz
20 pt 320 fl oz
21 pt 336 fl oz
22 pt 352 fl oz
23 pt 368 fl oz
24 pt 384 fl oz
25 pt 400 fl oz
26 pt 416 fl oz
27 pt 432 fl oz
28 pt 448 fl oz
29 pt 464 fl oz
30 pt 480 fl oz
31 pt 496 fl oz
32 pt 512 fl oz
33 pt 528 fl oz
34 pt 544 fl oz
35 pt 560 fl oz
36 pt 576 fl oz
37 pt 592 fl oz
38 pt 608 fl oz
39 pt 624 fl oz
40 pt 640 fl oz
Please don't report this. :(
A painting class charges a $55 registration fee plus an additional $25 for each week that you attend. Write an equation that could be used to find the total cost y for someone to attend the class for any number of weeks x. Then find how much it would cost for 7 weeks.
Answers
Answer:
y=25x+55
7 weeks = 230
gyhbgt
There are 2.2 pounds in a kilogram how many pounds is 10.5 kilograms?
Answers
Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.
Answers
Answer: 228 yds^2
Step-by-step explanation:
Surface Area= 2 (L x W) + (L x H) + (W x H)
2×(6×4 + 6×9 + 4×9) = 228
whats the answer to 10/y = 2/9
Answers
Answer:
y=45
Step-by-step explanation:
Answer:
=45
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
Answers
Answer:
perimeter of trapezium =sum of all sides
perimeter of trapezium =10cm+6cm+12cm+8cm
perimeter of trapezium =36cm
perimeter of semicircle =pi×r
perimeter of semicircle =3.14×6cm
perimeter of semicircle =18.84cm
perimeter of the figure =36cm+18.84cm=54.84cm
SOMEBODY PLEASE GIVE AND HELP ME IN THESE. I HAVE TO SUBMIT MY TEST IN 20 MINS.
Answers
Answer:
I only have this much
The rest you have to do on your own
Which of the following is √80 simplified?
Answers
2y_
Ga “5-6”(5)
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answers
Answer:
35+70=105, 180-105=75 so the answer is c 75°
Step-by-step explanation:
A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 66 properties in one week. Round your answer to four decimal places.
Answers
Answer:
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
12 properties
This means that [tex]n = 12[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling no more than 6 properties in one week.
This is:
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002[/tex]
[tex]P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029[/tex]
[tex]P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161[/tex]
[tex]P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537[/tex]
[tex]P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208[/tex]
[tex]P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934[/tex]
[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127[/tex]
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
Does 30, 20, and 16 make a right triangle?
Answers
Answer:
no I don't think it does make a right triangle
Answer:
No i don't think it does..
Step-by-step explanation:
um trust me?
Let the universal set U = {q, r, s, t, u, v, w, x,
y, z}; with
subsets A = (q, s, u, w, y); B = {q, s, y, z}; and C={v, w, x, y, z).
List the members of the indicated set, using set braces.
AUB
Answers
A=(q,s,u,w,y) + set B=(q,s,u,y,s)
Therefore,AUB =(q,s,u,w,y,z)
Please help me i really need help please help me please i really really need help please
Answers
Answer:
(6,1) is the correct answer
Answer: (-2,5)
Step-by-step explanation:
Solve the system of equation
Answers
Answer:
x = 0
y = 1
z = -4
Step-by-step explanation:
6x + 4y + 1z = 0 => z = -6x -4y
If 12x - 4y - 5z = 16, then
12x - 4y - 5(-6x - 4y) = 16
12x - 4y + 30x + 20y = 16
42x + 16y = 16 => 21x + 8y = 8
then y = (8 - 21x)/8
if -24x - 4y + 5z = -24
-24x - 4y + 5(-6x -4y) = -24
-24x - 4y - 30x - 20y = -24
-54x - 24y = -24 => -9x - 4y = -4
substitute y = (8 - 21x)/8
then -9x - 4(8 -21x)/8 = -4
-9x - 1/2(8 -21x) = -4
times 2 in both side
-18x - (8 - 21x) = -8
-18x - 8 + 21x = -8
3x = -8 + 8
3x = 0
x = 0
then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1
then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4
Hope this helps
The length of rectangular garden is 6 feet longer than the width. If the area of the garden is 16 square feet, find the length and width of the garden.
The length is __________ ft
The width is ___________ ft
Answers
Answer:
The length is 8 ft.
The width is 2 ft.
Step-by-step explanation:
A = l*w
l = w + 6
16 = w(w + 6)
16 = w^2 + 6w
w^2 + 6w - 16 = 0
(w + 8)(w - 2) = 0
w = -8ft or 2ft
Since lengths cannot be negative in reality, w = 2ft.
l*2 = 16
l = 8ft
The double number line shows that Toni can type 180 words in 2 minutes.
Based on the ratio shown in the double number line, how many words can Toni type in 3
minutes
Answers
Answer:
Toni can type 270 words in 3 minutes.
Step-by-step explanation:
Given that the double number line shows that Toni can type 180 words in 2 minutes, based on the ratio shown in the double number line, to determine how many words can Toni type in 3 minutes, the following calculation must be performed:
(180/2) x 3 = X
90 x 3 = X
270 = X
Thus, Toni can type 270 words in 3 minutes.
Can someone help me with this Geometry question? Will mark Brainliest.
Answers
Answer:
2 : 5
Step-by-step explanation:
4/10 = 8.6/21.5 = 10/25 because all ratios equal 2/5
Answer:
2:5
Step-by-step explanation:
all the ratios are equal
what is the range (math)?
Answers
Answer:
9-0=9
Step-by-step explanation:
highest- lowest=range
Answer:
Definition: About Transcript. The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.
How to find: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
hope this helps!
Define a variable, write an equation, and solve:
The length of a rectangle is 4 inches longer than the
width. The area is 60 square inches. What is the width
of the rectangle?
Answers
Answer:
6 inches
Step-by-step explanation:
area = l x w
area = 60
6 x 10 = 60
lenght: 10
width: 6
The width is 6 inches.