Answer:
20 units squared
Step-by-step explanation:
objects/square unit
200/10
20
If the density is 10, then the area of the figure will be 20 square units. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Suppose you cannot identify the known figures in an unknown figure, but you know that its density is 10 and that there are 200 objects in the figure.
Then the area of the figure will be
Area = number of object / density
Area = 200/10
Area = 20 square units
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PLEASE HELP!! I CANT GET THIS WRONG YALL HELP.....!!!
GIVING BRAINLIEST
Answer:
D)6x^4+3x^3y
Step-by-step explanation:I hope this helps,good luck with everything,have a nice day.
Find the volume of the cone
12 cm
5 cm
V = [?] cm
Round to the nearest tenth.
Enter
Answer:
314.2 cm³
Step-by-step explanation:
Volume of a cone [tex] = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
The volume of the cone
[tex] = \frac{1}{3} \times \pi \times {5}^{2} \times 12[/tex]
[tex]= 314.15926...[/tex]
= 314.2 cm³ (rounded to the nearest tenth)
Answer: 314
Step-by-step explanation:
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]
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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Please look at the image
Answer:
[tex]r \geqslant - 5 [/tex]
Step-by-step explanation:
[tex]50 - 4r \leqslant 70[/tex]
[tex] - 4r \leqslant 20[/tex]
[tex] \frac{ - 4r}{ - 4} \geqslant \frac{20}{ - 4} [/tex]
[tex]r \geqslant - 5[/tex]
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.
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.
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
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
Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?
Answer:
luke and han solo
Step-by-step explanation:
because han solo have the most mins and luke is one of thr 2 mins and that added is 7min
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 :)
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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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:
paulina made green paint by mixing blue paint and yellow paint in the ratio 3 : 4. she used 600 milliliters of yellow paint. find the volume of green paint paulina made
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.
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!
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
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
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
What is y = 1/2x-3 on a graph??
Attached is a graph showing y=1/2x-3
In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 6 hours. How long would it be, to the nearest tenth of an hour, until there are 5210 bacteria present?
Answer:
20.5
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}
2. Find the gross monthly income from this job and calculate your monthly take-home pay.
Monthly take-home pay is your gross monthly income subtracting out taxes. Taxes total to
be about 1/4 of the gross income. Show all work.
Gross monthly income:
Monthly take-home pay:
Answer:
you will need to know what's his gross monthly income and multiply by 25%that will give you the amount of taxes withheld and then subtract that from gross monthly income and that will give you Monthly take home pay.
PLEASE HELP SO I CAN GO EAT LUNCH!!
Answer:
Average low temp. = 6. The fourth number is 9.
Step-by-step explanation:
To find the average of 7 low temperatures, add them and divide the sum by 7.
Average low temp. = (5 + 8 + 6 + 5 + 10 + 7 + 1) / 7 = 42 / 7 = 6
The mean is the average. Call the missing number x.
There are four numbers, three of which are given. Add all the number, including the unknown x, then divide the sum by 4. The result is 7 (given in the problem).
[tex]\frac{5+7+7+x}{4}=7\\\frac{19+x}{4}=7\\19+x=28\\x=9[/tex]
Which statement correctly compares the two functions on the interval [-1,2]?
Answer:
Option A.
Step-by-step explanation:
Function f:
For x between -1 and 2, the values of f(x) increase, which means that f(x) is increasing.
Function g:
[tex]g(x) = -18(\frac{1}{3})^x + 2[/tex]
Between -1 and 2:
[tex]g(-1) = -18(\frac{1}{3})^{-1} + 2 = -18*3 + 2 = -54 + 2 = -52[/tex]
[tex]g(0) = -18(\frac{1}{3})^{0} + 2 = -18*1 + 2 = -18 + 2 = -16[/tex]
[tex]g(1) = -18(\frac{1}{3})^{1} + 2 = -18*\frac{1}{3} + 2 = -6 + 2 = -4[/tex]
[tex]g(2) = -18(\frac{1}{3})^{2} + 2 = -18*\frac{1}{9} + 2 = -2 + 2 = 0[/tex]
Both are increasing.
However, g starts with a lower value, and finishes with a higher value, which means that function g increases at a faster average rate, and the correct answer is given by option A.
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
A group of hikers starts at an elevation of 2.53 kilometers. When they
stop for lunch, their elevation has increased by 1.24 kilometers. When they
stop to camp, their elevation has decreased by 0.53 kilometer compared to
their lunch stop. Which expressions represent the elevation, in kilometers,
of the group's campsite? Select all that apply.
If 3/x x 4/7= 3/14 work out x
Answer:
[tex] \frac{3}{x} \times \frac{4}{7} = \frac{3}{14} \\ \frac{12}{7x} = \frac{3}{14} \\ 21x = 168 \\ x = \frac{168}{21} \\ x = 8[/tex]
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
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]