Answer:
n = -(13/4) or -3.25(In decimal form)
Step-by-step explanation:
-(5/2) = (3/4) + n
-(5/2) - (3/4)
n = -(13/4)
What is the measure of angle TSU?
Answer:
63°
Step-by-step explanation:
TSU = 180 - 117 = 63
Answer:
plz give them brainliest
Step-by-step explanation:
Gabrielles age is three times Mikes age. The sum of their age is 88 what is Mikes age?
Answer:
22
lets say that mike's age is x.
then gabrielle's age is 3x
that means that
x+3x=88
4x=88 /:4
x=22
Answer:
22
Step-by-step explanation:
Dan has ¾ of a cake left over from his birthday party. His best friend Amy ate 1/7 of the leftover cake. How much of the cake does Dan have left?
Answer:
9/14 of cake leftStep-by-step explanation:
3/4 left and 1/7 of that eaten:
3/4 - 3/4(1/7) = (3/4) (1 - 1/7) = (3/4)(6/7) =18/28 = 9/14Answer:
9/14
Step-by-step explanation:
tell me in I'm wrong
Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above
Answer:
7. A
8. C
Step-by-step explanation:
7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)
8. 2(3a)^2 - 3(3a) + 4 = C
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?
a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.
Answer:
b) use a two-sided test instead of a one sided test.
Step-by-step explanation:
If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.
In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated with suspected infection and another 1200 given antibiotics as a precaution.14 Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that approximately 1400 students were exposed. What is the probability that at least 75% of these students would develop infections if not treated
Answer:
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Step-by-step explanation:
Let Y be the no. of infections
The number of students who have been exposed to whooping cough is as follows:
n = 1400
n = 1400 and p = 0.8
nm = 1400 x 0.8
nm = 1120
n(1-m) = 1400 x (1-0.8)
n(1-m) = 280
Here,
Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.
The mean and standard deviation of number of new infections is:
u = np
u =1400 x 0.8
u = 1120 = mean
SD = Standard Deviation
SD = [tex]\sqrt{1120(1-0.8)}[/tex]
SD = 14.966
The number of infections is distributed in an approximately normal way
N(1120,14.966)
75% of 1400 means 0.75 x 1400 = 1050
So,
Probability required.
P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5) (Continuity Correction)
P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\geq[/tex] -4.71)
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)
Using the z table:
P (Y[tex]\geq[/tex] 1050) ≈ 1
Hence,
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Select all the reasons why random samples are preferred over other sampling methods. A random sample is likely to give you a sample that is representative of the population. A random sample is likely to give you a sample that is representative of the population. If you select a random sample, you can determine how many people you want in the sample. If you select a random sample, you can determine how many people you want in the sample. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected. A random sample is always the easiest way to select a sample from a population.
Answer:
The following statement below are reasons why random sampling are preferred over other sampling:
O. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected.
O. A random sample is always the easiest way to select a sample from a population.
O. A random sample is likely to give you a sample that is representative of the population.
Step-by-step explanation:
In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order are replaced by the numbers 1-21. Thus ‘1 1 1 2’ could stand for either ‘ABAE’ or ‘BABE’. If the five words below are encoded, and the code numbers for the letters in each word are added up, which word has the largest total?
a] MATHS
b] EQUALS
c] ALGEBRA
d] PLUS
e] GEOMETRY
Answer:
A beacuse why not ya knoe
6 divided by 2^5 (9x4-5^5+8)
Answer:
577.6875
Step-by-step explanation:
(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875
how many solutions does this problem have 2x – 4 = 2(x – 2)
Answer:
= 0
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−4=2(x−2)
Step 1: Simplify both sides of the equation.
2x−4=2(x−2)
2x+−4=(2)(x)+(2)(−2)(Distribute)
2x+−4=2x+−4
2x−4=2x−4
Step 2: Subtract 2x from both sides.
2x−4−2x=2x−4−2x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Cameron is berry picking at the Berry Best farm. He wants to pick a total of 2 gallons of berries. After 30 minutes of picking, he has 6 pints of berries. For how many more minutes does Cameron need to pick berries to reach his goal?
Answer:
50 minutes
Step-by-step explanation:
2gal×4 qt in a gallon= 8 qt
8qt× 2pt in a qt= 16pt
16pt÷6 pt= 2.66
2.66×30= 80 min
80min-30min= 50 minutes
Help please it’s for home work
What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a
width of 2 m?
Mar 12, 8:09:33 PM
Triangle MNO is similar to triangle PQR. Find the measure of side RP. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
O
Q
21
49
M M
N
13
P
Answer:
Submit Answer
help anyone trying to get my assignments done over the weekend!!
Benjamin is 3 inches less than twice as tall as his little brother. Write an expression for Benjamin's height. How tall is Benjamin if his brother is 28 inches tall?
Nicolas was testing
H0 : mu = 24
H0 : μ = 24
His test statistic was t = -1.79. Assume that the conditions for inference were met. What is the approximate P-value for Nicolas' test?
A. 0.0441.
B. 0.0505.
C. 0.0882.
D. 0.1010.
Answer:
B. 0.0505
Step-by-step explanation:
Test statistics technique is used to assess the condition whether to accept or reject the null hypothesis. Test statistics value is compared with the p-value in order to determine the status of null hypothesis. Nicolas test has t-value of 1.79 and degrees of freedom is assumed to be 11. The p-value for the Nicolas test is 0.0505.
Answer:
D. 0.1010
Step-by-step explanation:
X
38°
750
x= -
degrees
Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?
Answer:
$63
Step-by-step explanation:
Answer:
$63
Step-by-step explanation:
Which expression can be used to represent the volume of the prism
Answer:
Volume of the given figure = 54 cubic units.
Step-by-step explanation:
[tex]volume \: = length \times width \times height \\ here \: length = 9units \: width = 2units \: \: height \: = 3units \\ \\volume = 9 \times 2 \times 3 \\ = 54 \: cubic \: units[/tex]
A quadrilateral has angles that measure 60 , 115, and 80°. What is the measure of the missing angle?
Answer:
105
Step-by-step explanation:
The sum of a quadrilateral's angles is always equal to 360
360 - 60 - 115 - 80 = 105
Hope this helps :)
Yesterday there were 100 people in my shop. 25% of them bought something. How many People did not buy something?
Answer:
75 people did not buy something
75
Step-by-step explanation:
25% of people bought something
25/100 x 100% = 25 people bought something..
100 people in your shop - 25 people bought something
= 75 people did not buy something
Explain the order in which you should compute the operations in the expression below.
[(33 / 3) + 1] - 2^2
1. You would divide the 33/3 first to get 11
2. Then you would add 1 to that answer to get 12
3. Then you would subtract 2^2 from that to get 8
Your answer would be 8.
What is the best fit line for the given data
find the m
A. 31
B. 12
C. 74
D. 106
Answer:
C is my answer
Answer:
D ∠U=106°
Step-by-step explanation:
∠TRS=∠RTU=31 (corresponding angles)
Since all angles in a triangle add up to 180:
∠TRS+∠RTS+∠RST=180
31+(4x-5)+(7x+22)=180
48+11x=180
11x=132
x=12
∠RST=7x+22=7(12)+22=84+22=106
∠RST=∠U (opposite angles in a rhombus are equal)
∠U=106°
PLZZZ HELPPPPP THE ASSINGMENT IS ALREADY LATE PLSS SOMONE HELP
Answer:
16291.8
Step-by-step explanation:
271.53×60
Multiply 271.53 and 60 to get 16291.8.
16291.8
HELPPPP VERY FAST!
Lisa had five dollars her friend had some amount of money together they had $20 how much money did Lisafriend have
Answer:
$15... 20-15=5
Step-by-step explanation:
Her friend more rich than her, lol
Answer:
Lisafriend has $15 (5+15=20)
Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Answer:
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.
What are Natural numbers?Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.
Let the first number(bigger number) be 'a', and the smaller number be b.
As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,
a = b + 4
Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,
[tex]ab = 3(b^2)\\[/tex]
As the value of a = b+4, substitute the value of a,
[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]
Thus, the value of b is 2.
In order to get 'a' add 4 to the value of b, therefore, the value of a is,
[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]
Hence, the two natural numbers are 4 and 6.
Learn more about Natural numbers:
https://brainly.com/question/17429689
Please help will give brainliest
Answer:
25 is the area because5 times 5 equals 25
Step-by-step explanation:
hope this helps
Answer:
25
Step-by-step explanation: