Answer:
There would be 6 nickels, 6 dimes, and 4 quarters.
Suppose the line of best fit between the # of dens (x) and the # of foxes (y) is y=7.2x+1.9 If I had 8 dens how many foxes should I expect there to be ?
Answer:
60 foxes
Step-by-step explanation:
8*7.2 = 57.6
57.6 + 1.9 = 59.9
I think you should round 59.9 up to 60.
so the answer is 60 foxes.
Area of rectangle and traingle
Please helpp
Step-by-step explanation:
[tex]here \: is \: your \: solution \\ \\ base \: = 4 \: cm \\ \\ height \: = 6 \: cm \\ \\ area \: of \: traingle = (1 \div 2) \times base \times height \\ \\ area \: = (4 \times 6) \div 2 \\ \\ area = 12 \: cm.sq \\ \\ hope \: it \: helps[/tex]
Answer: a
Step-by-step explanation:
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
Match each compound inequality on the left to the graph that represents its solution on the right.
Answer: First answer goes with second graph
Second answer goes with third graph
Third answer goes with first graph :)
Step-by-step explanation:
The equation 1 matches option (B), equation 2 matches option (C), equation 3 matches option (A).
What is Graphs of inequalities?"An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region".
For the above situation,
The inequalities are given as
1. [tex]4x+3 > 15[/tex] or [tex]-6x > =12[/tex]
2. [tex]-8x > -24[/tex] and [tex]-10 < =2x-6[/tex]
3.[tex]-29 < =9x-2 < 16[/tex]
By finding the solution for these equations will give the points that to be plotted on the graph.
Equation 1:
[tex]4x+3 > 15[/tex]
⇒[tex]x > 3[/tex]
[tex]-6x > =12[/tex]
⇒[tex]x > =-2[/tex]
So the points are (3,-2).
Equation 2:
[tex]-8x > -24[/tex]
⇒[tex]x > 3[/tex]
[tex]-10 < =2x-6[/tex]
⇒[tex]x > =-2[/tex]
So the points are (3,-2).
Equation 3:
[tex]-29 < =9x-2[/tex]
⇒[tex]x > =-3[/tex]
[tex]9x-2 < 16[/tex]
⇒[tex]x < 2[/tex]
So the points are (-3,2).
Hence we can conclude that the equation 1 matches option (B), equation 2 matches option (C), equation 3 matches option (A).
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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:
Calculate the P-value for the given scenario. Use 4 decimal places.:
Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one
of its competitors, which is $68,000. A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the
population standard deviation is $5500 and the population is normally distributed.
Answer:
The p-value is 0.1867.
Step-by-step explanation:
Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one of its competitors, which is $68,000.
At the null hypothesis we test that the salary is the same of the competitor, that is:
[tex]H_0: \mu = 68000[/tex]
At the alternate hypothesis, we test that it is more than 68000. So
[tex]H_a: \mu > 68000[/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.
68000 is tested at the null hypothesis:
This means that [tex]\mu = 68000[/tex]
A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the population standard deviation is $5500.
This means that [tex]n = 20, X = 66900, \sigma = 5500[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{66900 - 68000}{\frac{5500}{\sqrt{20}}}[/tex]
[tex]z = -0.89[/tex]
P-value:
The pvalue is the probability of finding a sample mean below 66900, which is the pvalue of z = -0.89.
Looking at the z-table, z = -0.89 has a pvalue of 0.1867.
The p-value is 0.1867.
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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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]
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.
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.
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
which deduction is optional?
a.federal income tax
b. life insurance
c.medicare
d.social security
Answer:
Life insurance
Step-by-step explanation:
The rest are governm taxes
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:
Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance and the critical value method with the
Answer:
The pvalue of the test is 0.0012 < 0.05, which means that the data provides convincing evidence that the pediatrician's claim is true.
Step-by-step explanation:
A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds.
This means that at the null hypothesis, we test that the mean is 25 pounds, that is:
[tex]H_0: \mu = 25[/tex]
At the alternate hypothesis, we test that it is more than 25 pounds, that is:
[tex]H_a: \mu > 25[/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.
25 is tested at the null hypothesis:
This means that [tex]\mu = 25[/tex]
The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds.
This means that [tex]n = 315, \mu = 25.6, \sigma = 5.3[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{25.6 - 25}{\frac{5.3}{\sqrt{315}}}[/tex]
[tex]z = 3.04[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 25.6 pounds, which is 1 subtracred by the pvalue of z = 3.04.
Looking at the z-table, z = 3.04 has a pvalue of 0.9988
1 - 0.9988 = 0.0012
The pvalue of the test is 0.0012 < 0.05, which means that the data provides convincing evidence that the pediatrician's claim is true.
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]
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
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
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
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
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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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}
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]
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
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How much compound interest is earned on a deposit of $6000 at 2.25%, compounded daily for 22 days?
Answer:
Total: $9,789.13
Interest: $3,789.13
Step-by-step explanation:
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
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
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.
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
7 + 6 + 36/7 + 216/49 + ...
If it is convergent, find its sum.
Answer:
- L < 1, so by series ratio test, It is convergent
- sum of the convergent series is 49
Step-by-step explanation:
Given the data in the question;
series = 7 + 6 + 36/7 + 216/49 + .........
⇒ 7 + 7 × 6/7 + 7 × 36/49 + 7 × 216/343 +........
⇒ 7 + 7 × 6/7 + 7 × 6²/7² + 7 × 6³/7³ .....
⇒ 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )
⇒ 7 ∞∑_[tex]_{n=0[/tex] [tex]([/tex] 6/7 [tex])^n[/tex]
⇒ ∞∑_[tex]_{n=0[/tex] ( [tex]6^n[/tex]/[tex]7^{n-1[/tex] )
So, L = [tex]\lim_{n \to \infty} | \frac{a_{n} + 1}{a_n} |[/tex]
= [tex]\lim_{n \to \infty} | \frac{\frac{6^n+1}{7n} }{\frac{6^n}{7^n-1} } |[/tex]
= [tex]\lim_{n \to \infty} | \frac{6}{7} |[/tex]
= 6 /7
L < 1
so by series ratio test,
It is convergent
So we find the sun;
Sum of infinite geometric series is;
⇒ a / (1-r)
here, a = first number and r = common ratio
∑ = 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )
a = 1 and r = 6/7
so
∑ = 7( [tex]\frac{1}{1 - \frac{6}{7} }[/tex] )
= 7( [tex]\frac{1}{\frac{7-6}{7} }[/tex] )
= 7( [tex]\frac{1}{\frac{1}{7} }[/tex] )
= 7( 7 )
= 49
Therefore, sum of the convergent series is 49
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 :)
Jasmine is making 4 types of muffins. Each recipe uses 3/4 cup of sugar.
Answer: The answer is 3