Answer:
$600
Step-by-step explanation:
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
Nominal GDP is GDP calculated using current year prices while Real GDP is GDP calculated using base year prices. Real GDP has been adjusted for inflation.
Price index measures how prices change over a period of time. It is a measure of inflation
Real GDP = (nominal / price index) x 100
($900 / 150) X 100 = $600
Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62
please answer this for me
Answer:
A
Step-by-step explanation:
The quantity y varies directly with the square of x. If y=24 when x=3, find y when x is 4
Answer:
[tex]y = \frac{384}{9}[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ x^2[/tex] --- direct variation
[tex](x,y) = (3,24)[/tex]
Required
y when x = 4
[tex]y\ \alpha\ x^2[/tex]
Express as an equation
[tex]y = kx^2[/tex]
Substitute: [tex](x,y) = (3,24)[/tex]
[tex]24 = k*3^2[/tex]
[tex]24 = k*9[/tex]
Solve for k
[tex]k = \frac{24}{9}[/tex]
To solve for y when x = 4, we have:
[tex]y = kx^2[/tex]
[tex]y = \frac{24}{9} * 4^2[/tex]
[tex]y = \frac{24}{9} * 16[/tex]
[tex]y = \frac{24 * 16}{9}[/tex]
[tex]y = \frac{384}{9}[/tex]
Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.)
Answer:
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
Step-by-step explanation:
Test the hypothesis that more than 50% of people plan on voting for the levy.
At the null hypothesis, we test that the proportion is 50%, that is:
[tex]H_0: p = 0.5[/tex]
At the alternate hypothesis, we test if this proportion is above 50%, that is:
[tex]H_a: p > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Of these 150 respondents, 78 people say they plan on voting for the levy.
This means that [tex]n = 150, X = \frac{78}{150} = 0.52[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}[/tex]
[tex]z = 0.49[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.
Looking at the z-table, z = 0.49 has a pvalue of 0.6879.
1 - 0.6879 = 0.3121
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
Which ordered pair is in the solution set of 0.5x - 2y ≥ 3?
Answer:
C
Step-by-step explanation:
The answer is c because when 2, -1 is plugged into the equation, you get
.5(2) - 2(-1) >/= 3
when solved -
1 + 2 >/= 3 -
3 >/= 3
and this is in the solution set because three is equal than or greater to three
the length of a rectangle is 52 cm and its perimeter is 200 cm.what is the area of the rectangle
Answer:
2496 cm sq.
Step-by-step explanation:
Length equals 52cm and Perimeter is 200cm.
Area = Length x Breadth (or Width).
To find the area we have to first find the breadth.
2 x (Length + Breadth) = Perimeter.
Substituting what's given in the question, we get:-
2 x ( 52 + Breadth) = 200
52 + Breadth = [tex]\frac{200}{2}[/tex]
52 + Breadth = 100
Breadth = 100 - 52
Breadth = 48cm.
So, Area equals-------->
Length x Breadth
= 52 x 48
Area = 2496 cm sq.
Rewrite all three fractions with the lowest common denominator.
Answer:
[tex] - \frac{2}{4 } = - \frac{16}{32} [/tex]
[tex] - \frac{6}{8} = - \frac{24}{32} [/tex]
[tex] - \frac{13}{32} = [/tex]
remains the same
A bakery offers a sale price of $2.80 for 3 muffins. What is the price per dozen?
Answer: 11.2$
Step-by-step explanation:
given that set C is the negative integers greater than -7, which element of set C are less than or qual to -3? (enter your answer as a comma-separated list
9514 1404 393
Answer:
-6, -5, -4, -3
Step-by-step explanation:
Integers greater than -7 include ... -6, -5, -4, ....
Integers less than or equal to -3 include ... -3, -4, -5, ....
The set of integers in the range -7 < n ≤ -3 is ...
{-6, -5, -4, -3}
Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.
Answer:
Step-by-step explanation:
the 1st and 2nd b/c they are both square the input number
CAN SOMEONE HELP ME WITH THIS 25 POINTS TY :)
Answer:
Hello!
Here are the coordinates and a picture example!
Original coordinates: -3, -5
New coordinates: 3, -5
Hope that helps!
The following is a random sample of the annual salaries of high school counselors in the United States. Assuming that the distribution of salaries is approximately normal, construct a 98% confidence interval for the mean salary of high school counselors across the United States. Round to the nearest dollar. $45,860,$38,860,$64,820,$63,480,$36,710,$50,410,$33,080
Solution :
x [tex]$(x-\overline x)$[/tex] [tex]$(x-\overline x)^2$[/tex]
45860 -1742.8571 3037551.0204
38860 -8742.8571 76437551.0204
64820 17217.1429 296430008.1633
63480 15877.1429 252083665.3061
36710 -10892.8571 118654336.7347
50410 2807.1429 7880051.0204
33080 -14522.8571 210913379.5918
333220 0.0000 965436542.8571
Sample size, n = 7
Mean = [tex]$\frac{\sum x}{n}=\frac{333220}{7}$[/tex]
= 47602.8571
Variance = [tex]$\frac{(\sum (x- \overline x))^2}{(n-1)}=\frac{965436542.8571}{7-1}$[/tex]
= 160906090
Standard deviation = [tex]$\sqrt{Variance} = \sqrt{160906090}$[/tex]
= 12684.876
a). df = n - 1
= 7 - 1
= 6
Level of significance, α = 0.02
Critical, [tex]$t_c = 3.143$[/tex]
b). Sample mean, [tex]$\overline x = 47602.8571$[/tex]
Sample standard deviation, s = 12684.876
Sample size, n = 7
c). 98% confidence interval = [tex]$\overline x \pm t_c \times \frac{s}{\sqrt n}$[/tex]
[tex]$=47602.8571 \pm 3.143 \times \frac{12684.876}{\sqrt 7}$[/tex]
[tex]$=(32533.96,62671.76)$[/tex]
Need help please right answers
Answer:
B
Step-by-step explanation:
y-intercept is where x is zero, so we must look at where the y-iterceot is crossed
Need help with this problem!!
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
Helloooo help me out thanks youuuuuu
Answer:
C. 162.5 sq ft.
Step-by-step explanation:
Given the following data;
S.A of smaller cylinder, S1 = 65 ft²
Ratio = 2:5 = 2 + 5 = 7
Let the total surface area be x.
S1 = 2/7 * x = 65
S1 = 2x = 65 * 7
S1 = 2x = 455
x = 455/2
x = 227.5 ft²
To find the surface area of the larger cylinder;
S2 = 5/7 * 227.5
S2 = 1137.5/7
S2 = 162.5 ft²
A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?
Answer:
56 hardwood 80 pine bark
Step-by-step explanation:
H = hardwood B= pine bark
B +H = 136
B = (136-H)
4.25 H + 3.75 (136-H) = 538
4.25H + 510 - 3.75H = 538
0.5 H = 28
1H = 56 (56 Hardwood)
136-56= 80
56x 4.25 + 80 x 3.75 = 538
$238 + $300 = $538
Please look at the image
Answer:
[tex]n \leqslant 4[/tex]
Step-by-step explanation:
[tex] - 3n - 5 \geqslant - 17[/tex]
[tex] - 3n \geqslant - 12[/tex]
[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]
[tex]n \leqslant 4[/tex]
A box has a length of 15 centimeters, a width of 22 centimeters, and a height of 9 centimeters. What is the surface area of the box? 1,326 cm 2 92 cm 2 5,940 cm 2 663 cm 2
The surface area of the figure will be equal to 1326 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that:-
A box has a length of 15 centimetres, a width of 22 centimetres, and a height of 9 centimetres.The surface area will be calculated as:
SA = 2 { LW + LH + WH )
SA = 2 { ( 9 x 12) + (15 x 22 ) + (15 x 9 )}
SA = 1326 square meters.
Therefore the surface area of the figure will be equal to 1326 square meters.
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porque es matematicas nos piden buscar la x?
Answer:
Em matemática, costumamos usar a letra “x” para representar a quantidade desconhecida. Mas agora x está em toda parte em nossa sociedade. As pessoas usam “x” para representar algo inexplicável ou desconhecido, como raio-X, arquivo X e i hope that helps :)
11. Explain how to evaluate the expression 9 +(45 x 2) = 10.
The Answer Is 18
Order Of Operation laws says that you must do the parentheses first, 45x2.
45x2=90
The next thing you must do is divide 90 by 10 since division is before addition.
90/10=9
Now combine like terms.
9+9=18
Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please
Answer:
216 cubic inches
Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.
What is a cube?
A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.
Given, length of the each side of Jena's small jewelry box = 2 inches.
Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.
Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.
Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.
Hence, the difference = (140 - 8) inches³ = 132 inches³.
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One can of Mountain Dew costs $1.25 in a vending machine.
A 12-pack of Mountain Dew costs $3.49 at the grocery store.
How much money would you save by purchasing a dozen cans of Mountain Dew at the grocery store instead of a dozen at the vending machine?
$2.24
$0.96
$11.51
$12.49
If you add Natalie’s age and Fred’s age, the result is 41. If you add Fred’s age to 3 times Natalie’s age, the result is 67. Find how old Fred and Natalie are.
Answer:
Natalie is 13 years old, while Fred is 28 years old.
Step-by-step explanation:
Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:
N + F = 41
3N + F = 67
(67 - 41) / 2 = N
26/2 = N
13 = N
13 x 3 + F = 67
39 + F = 67
F = 67 - 39
F = 28
28 + 13 = 41
Therefore, Natalie is 13 years old, while Fred is 28 years old.
Dajuan is painting a mural on a rectangular
wall. The wall is 14.5 feet long and 10 feet
wide. So far, his mural covers 60% of the wall.
Dajuan will paint the remaining part of the wall
over the next four days. He will paint the same
amount of the wall, in square feet, on each of
those four days. How much of the wall, in
square feet, will Dajuan paint on each of the
next four days? Explain how you arrived at
your answer.
Answer:
Every day Dajuan will paint 14.5 square feet of the wall.
Step-by-step explanation:
Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:
((14.5 x 10) x 0.4) / 4 = X
(145 x 0.4) / 4 = X
58/4 = X
14.5 = X
Therefore, every day Dajuan will paint 14.5 square feet of the wall.
there is a picture. please help!!!!
Answer:
the answer should be B becaise just multiply and then round up that is what I got good luck
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
Help pls show work if needed
Answer: The mode is 12
Step-by-step explanation: It is the most common number in the data set.
apply the Pythagorean theorem to find the distance between two points (to the nearest tenth). which statements are correct
Answer:
options pls. or any image.......................................
The distance between two points is √29 unit.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have the points (-2, 3) and (3, 1).
Using Distance formula
= √(1-3)² + (3 - (-2))²
= √ (-2)² + (5)²
= √ 4 + 25
= √29 unit
Thus, the distance between two points is √29 unit.
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I will give you Brainiest if you are right.
Answer:
Students 1 & 4
Step-by-step explanation:
An expression has NO equal sign, EQUATIONS have equals.
2 & 3 have equals which makes then equations.
~R3V0
Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles
Answer: 290 miles
Step-by-step explanation:
Given
Allison drove with a speed of 58 mph
Austin drove with a speed of 40 mph
If both start at the same time
suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles
[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]
Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]