What is the solution set for this inequality?
-8x + 32 -16
x < 6
x > 6
x > -2
x < -2
Answer:
x>-2
Step-by-step explanation:
-8x+32-16<0
-8x<16
divide both sides by -8
x>-2
that's because when you divide by a negative your inequality sign changes
Cups are sold by 6 per package while plates are sold by 8 per package. If you want
to have the same number of each item for a party, what is the least number of
packages of cach item you need to buy?
A. 2 packages of cups and 3 packages of plates
3 packages of cups and 4 packages of plates
C. 4 packages of cups and 3 packages of plates
D. 5 packages of cups and 3 packages of plates
Answer:
C
Step-by-step explanation:
What is the lowest common multiple
6 = 2 * 3
8 = 2 * 2 * 2
LCM = 2 * 2 * 2 * 3
LCM = 24
So you just divide 6 and 8 into 24. The result will be the number of packages.
Cups: 24/6 = 4
Plates: 24/8 = 3
You need 4 packs of cups and 3 of plates
A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.76 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) MPa
Answer:
95% of the lower confidence interval for the true average proportional limit stress of all such joints
7.7829
95% of the confidence interval for the true average proportional limit stress of all such joints
(7.7829, 9.3171)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 12
Mean of the sample = 8.55
The standard deviation of the sample (S) = 0.76
Step(ii):-
95% of the confidence interval is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })[/tex]
Degrees of freedom = n-1 = 12-1 = 11
t₀.₀₂₅ = 3.4966
[tex](8.55 - 3.4966\frac{0.76}{\sqrt{12} } , 8.55 + 3.4966 \frac{0.76}{\sqrt{12} })[/tex]
(8.55 - 0.7671 , 8.55+0.7671)
(7.7829, 9.3171)
Final answer:-
95% of the confidence interval for the true average proportional limit stress of all such joints
(7.7829, 9.3171)
I don’t know what the answer for this
Answer:
isoceles and right
Step-by-step explanation:
Answer:
I think the answer us B........
Will give brainliest
Answer:
Perpendicular
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
They form a 90 degree angle.
Emma drove 5 hours and 20 mins to her vacuum she left home at 10:15 am what time did she arrive
Answer: 3:35
Step-by-step explanation:
Ella is solving the equation (x+5)2=0 . She writes that the solutions are x=5and−5 .
Anne looks at her work and disagrees. She says that only x=−5 is a solution. Who do you agree with? Explain your reasoning.
Answer:
Anne
Step-by-step explanation:
Let's solve it by replacing x by 5, then -5.
(5+5)2=0
10*2=0
20=0
(-5+5)2=0
-5 and 5 cancel each other out, and 0 times anything is 0.
0=0
So Anne is correct.
--
hope it helps
Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the right triangle is 2 1/3 yards. Find the area of the triangular playground.
Answer:
area of right triangle = ab/2
base = 18yards
height = 2 1/3 = 7/3yards
area = (18 * 7/3) /2 = 42 /2 = 21[tex]yards^{2}[/tex]
hope this answer helps you.....
Which of the following questions are statistical questions? Explain why or why not for each one.
(a) Who is the current vice president of the USA?
(b) How many slices of pizza can sixth grade students eat at a pizza party?
(c) How many languages does Sally speak?
Answer:
b
Step-by-step explanation:
A is not a statistical question because its not asking for a number A is asking who is vice president of the USA.
B is a statistical question because its asking a math question how many students eat at the pizza party and its a math problem.
C is not statistical because its just asking how many languages sally can speak they don't add another problem.
Hope its helps :)
Given the following data, find the weight that represents the 28 percentile
Answer:
so I just tried to find the mean (average) and it was: 6.3
Plz help meeeeeeeeeeeeeeeeeeeeeeeeee look at the picture.
Answer:
4 for every dozen sold
Step-by-step explanation:
when the number of eggs sold is the dot at 12 on the x-axis, it is at 4 on the y-axis
5. A book of length 20 cm and breadth 5 cm is kept on a table, its area is
(a) 50 cm
(b) 100 cm
(c) 150 cm
(d) 200 cm
A hairstylist charges $15
Answer:
Ok.....
Step-by-step explanation:
Was that a question or was that the price you paid for getting a hair cut.
geometry - find angle A
(would be helpful if you could help out with the rest)
(will mark brainliest)
Answer:
m<A=68°
m<B=85°
m<C=112°
m<D=95°
Step-by-step explanation:
8z+14z-7=180
22z=187
z=8.5
m<A=8z=8x8.5=68
m<B=10x=10x8.5=85
m<C=14z-7=14x8.5-7=112
m<D=180-85=95
Help SOMEONE???? MATH IS SO HARD!!!
Answer:
16. 70%
17. 100%
Step-by-step explanation:
16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.
We can set up a "part to whole" fraction such as 7/10
Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)
7/10 = x/100
1000 = 7x
70 = x
17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.
Hope that helps a bit!
Five hundred students were asked whether they perfer apple juice or orange juice.
Answer:
Step-by-step explanation:
240 said apple juice and 340 said orange juice.
A gumball machine contains gumballs in several different colors.
orange 26
yellow 2
green 3
purple 1
red 1
If you purchase one gumball from the machine, what is the probability it will be green?
Write your answer as a fraction or whole number.
Un tercio es menor que cuatro centésimos.?
Answer:
no por que 1/3 es menor que 4
Step-by-step explanation:
A quadrilateral has angles that measure 115, 97, and 68. What is the measure of the missing angle? Plz help me I don't know the answer!!!
A.45
B. 115
C.68
D.80
Answer:
Step-by-step explanation:
The sides of a quadrilateral always add up to 360°.
Missing angle = 360-115-97-68 = 80°
Answer:
D. 80°
Step-by-step explanation:
A quadrilateral always add up to 360°
To find the missing value we first have to add the given number up:
115 + 97 + 68 = 280°
Now we minus our value from 360° :
360° - 280° = 80°
Hope this helps!
Please help! What's the perimeter of Trapezoid ABCD?
Answer and explanation please! <3
Answer:
Step-by-step explanation:
The formula is P= a+b+c+d
a=base
b=base
c=side
d=side
Please search perimeter of a trapezoid. It will provide the answer.
Answer:
Perimeter = 19.77 units
Step-by-step explanation:
Perimeter = AB + BC + CD + AD
BC = 5
AD = 8
AB² = 2² + 3² = 4 + 9 = 13
AB = √13 = 3.61
CD² = 1² + 3² = 1 + 9 = 10
CD = √10 = 3.16
Perimeter = 3.61 + 5 + 3.16 + 8 = 19.77
The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q1​ and q2​, of two products depend on their prices, p1 and p2, as follows:
q1​=150−2p1​−p2
q2​=200−p1​−3p2​.​
If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue?
Answer:
Both prices should be set to #25.
The maximum revenue is #4375
Step-by-step explanation:
Given
[tex]q_1 = 150-2p_1-p_2[/tex]
[tex]q_2 = 200-p_1-3p_2[/tex]
Start by calculating the total revenue (R):
[tex]R = p_1q_1 + p_2q_2[/tex]
[tex]R = p_1(150-2p_1-p_2) + p_2(200-p_1-3p_2)[/tex]
[tex]R = 150p_1-2p_1^2-p_1p_2 + 200p_2-p_1p_2-3p_2^2[/tex]
Collect and solve like terms
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
Differentiate with respect to pi and to p2, respectively
[tex]\frac{dR}{dp_1} = 150 -4p_1 - 2p_2[/tex]
[tex]\frac{dR}{dp_2} = 200 -2p_1 - 6p_2[/tex]
Equate both to 0, to get the critical point
[tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]200 -2p_1 - 6p_2 = 0[/tex]
Solve for p1 in [tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]4p_1 = 150 - 2p_2[/tex]
[tex]p_1 = 37.5 - 0.5p_2[/tex]
Substitute [tex]p_1 = 37.5 - 0.5p_2[/tex] in [tex]200 -2p_1 - 6p_2 = 0[/tex]
[tex]200 - 2(37.5 - 0.5p_2) - 6p_2 = 0[/tex]
[tex]200 - 75 - p_2 - 6p_2 = 0[/tex]
[tex]125 - 7p_2 = 0[/tex]
[tex]-7p_2 =-125[/tex]
[tex]p_2 = 25[/tex]
Substitute [tex]p_2 = 25[/tex] in [tex]p_1 = 37.5 - 0.5p_2[/tex]
[tex]p_1 = 37.5 - 0.5 * 25[/tex]
[tex]p_1 = 37.5 - 12.5[/tex]
[tex]p_1 = 25[/tex]
So, we have:
[tex]p_1 = p_2 = 25[/tex]
This implies that the prices should be set to #25.
The maximum possible revenue is:
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
[tex]R = 150 * 25 + 200 * 25 -2 * 25^2 - 2 * 25 * 25 - 3 * 25^2[/tex]
[tex]R = 4375[/tex]
The maximum revenue is #4375
The maximum possible revenue is 4375.
How to calculate the revenue?From the information given, the following can be deduced:
Q₁ = 150 - 2P₁ - P₂
Q₁ = 150 - 2P₁ - P₂Q₂ = 200 - P₁ - 3P₂
The total revenue will be:
R = P₁Q₁+ P₂Q₂
R = P₁(150 - 2P₁ - P₂) + P₂(200 - P₁ - 3P₂)
R = 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
To maximize, differentiate it in both the direction of P₁ and P₂.
d/dP₁ = 150 - 4P₁ - 2P₂
d/dP₂ = 200 - 2P₁ - 6P₂.
Solving for P₁ goes thus:
4P₁ = 150 - 2P₂
Divide through by 4
P₁ = 37.5 - 0.5P₂
Since 200 - 2P₁ - 6P₂ = 0
200 - 2(37.5 - 0.5P₂) - 6P₂ = 0.
P₂ = 25
Therefore, the revenue will be:
= 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
= (150 × 25) + (200 × 25) - (2 × 25 × 25) - (3 × 25²)
= 4375
In conclusion, the revenue is 4375.
Learn more about revenue on:
https://brainly.com/question/25623677
I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? I will delete the right answers.
Answer:400
Step-by-step explanation:
Weekly wages at a certain factory
are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
Give two ways a debit card can be used.
Answer:
pay for something and get money from ATM
Step-by-step explanation:
please help me i will give a brainliest
Answer:
(-3,2)
Step-by-step explanation:
you go to the left by 3 (negative), then you went up by 2 (positive). You always do x (horizontal) before y (vertical).
:)
PLEASE HELP AND EXPLAIN IT FOR ME :(
Answer:
15 x 10 x 20 =
Step-by-step explanation:
Answer:
1,100
Step-by-step explanation:
15*10*2=300
20*15*2=600
20*10=200
300+600+200=1,100
you need to find the surface area which means the area of all the sides except the top(bc i think its open???)
a shortcut i used was multiplying sides that have the same area by 2. for example, the side 15*10, there was another side like that, so i multiplied by two instead of having to solve for the other side individually, does that make sense?
check my math if im wrong
1. Find
A) 35
B) 47.5
C) 67.5
D) 95
Answer:
i am pretty sure it is 95
Step-by-step explanation:
Answer:
B IS THE ANSWER.
Step-by-step explanation:
The angle is less than 50 degrees but more than 30.
PLSSSSSSSSSSS HELP ASAPPP
Answer:
C
Step-by-step explanation:
400*.035 = 14 *2 = 28
250*.0325 = 8.125 *2 = 16.25
28 + 16.25 = 44.24
44.25+650 = 694.25
Which equation choice could represent the graph shown below?
Answer:
f(x)=x(x-6)(x+3)
Step-by-step explanation:
Four boxes hold 36
apples. How many
apples are in 9 boxes?
Answer:
86 apples
Step-by-step explanation:
Hope this helps and have a great day!!!!
the nswer is 81 36/4=9
9x9=81