Answer:
band could rent room B for a maximum of 9.44 hours.
Step-by-step explanation:
To represent the time (in hours) the band could rent room A, we need to consider both the cleaning fee and the hourly rate. The total cost of renting room A for t hours is given by the expression "50 + 24t". Since the band has $250 to spend, we can write an inequality to represent the maximum time they could rent the room:
50 + 24t <= 250
We can solve this inequality for t by subtracting 50 from both sides:
24t <= 200
Then, by dividing both sides by 24, we get:
t <= (200/24) hours
t <= 8.33 hours
So, the band could rent room A for a maximum of 8.33 hours.
b. To represent the time (in hours) the band could rent room B, we can use a similar approach as above. The total cost of renting room B for t hours is given by the expression "80 + 18t". Using the same budget of $250, we can write the following inequality:
80 + 18t <= 250
We can solve this inequality for t by subtracting 80 from both sides:
18t <= 170
Then, by dividing both sides by 18, we get:
t <= (170/18) hours
t <= 9.44 hours
So, the band could rent room B for a maximum of 9.44 hours.
c. From the above results, we can see that the band could rent room B for a slightly longer period of time compared to room A. However, the hourly rate for room B is cheaper than that of room A. So even though the band will get to use room B for a longer period of time, they will pay less overall to rent it. Additionally, the cleaning fee is cheaper in room B. Based on this information, the band should rent room B. They can stay in the room longer, pay less per hour, and pay less in cleaning fees.
Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedness would be genetically passed on from parents to children. That is, left-handed parents would be more likely to have lefthanded children than right-handed parents. An alternate theory asserts that handedness should be random, with left- and right-handedness equally likely. In a recent study using a simple random sample of n  76 right-handed parents, 50 of the children born were right-handed. ( pˆ =0.658 .) Suppose handedness is a random occurrence with either hand equally likely to be dominant, implying that the probability of a right-handed offspring is p =0.50.
Required:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
Answer:
a) Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b) 0.5 = 50% probability of observing a sample proportion of at 0.658.
Step-by-step explanation:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
We need that:
np >= 5
n(1-p) >= 5
Sample of 76, 50 of the children were born were right-handed.
So [tex]n = 76, p = \frac{50}{76} = 0.658[/tex]
np = 76*0.658 >= 5
n(1-p) = 76*0.342 >= 5
Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
This is the mean, so 50% below and 50% above.
0.5 = 50% probability of observing a sample proportion of at 0.658.
you work at a coffee house roasted coffee beans retain 3/5 of the initial weight approximately what percentage of the initial weight do they retain
Answer:
they retain 3/5 or 60% of their initial weight
Step-by-step explanation:
Find the segment lengths
Answer:
y = 18
Step-by-step explanation:
[tex] \frac{21 + 7}{21} = \frac{y + 6}{y} [/tex]
[tex] \frac{28}{21} = \frac{y + 6}{y} [/tex]
Cross multiply
28*y = 21(y + 6)
28y = 21y + 126
28y - 21y = 126
7y = 126
y = 126/7
y = 18
3
What is the remainder when 2,308 is divided by
nine? Give your answer as a fraction.
Answer:
254 R 6
Step-by-step explanation:
Answer:
256 7/16
Step-by-step explanation:
2308/9 = 256 7/16
express 75 as prodict of prime factor
75 = 1 x 75, 3 x 25,
or
75 = 3 xx 5^(2)
1000003842638476238476+2837428734682764283746
Answer:
3.8374326e+21
Step-by-step explanation:
id.k goo.gle said this
helppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
170
The following problems were in your worksheet on direct and inverse proportion. Reformulate the
relationships as algebraic expressions and remember to define the variables you use. You do not
have to solve the expressions.
5. The students in class usually drink a lot of water to help with their studies. I have found that
with five students in the class at least 30 litres of water is needed. How much water will be
needed when there are 30 students in the class?
Answer:
For s students, at least 6s liters of water will be needed. So, for 30 students, at least 6*30 = 180 liters of water will be needed.
Step-by-step explanation:
This question is solved by proportions, using rule of three.
I am going to say that:
s is the number of students.
l is the number of liters of water needed for s students.
I have found that with five students in the class at least 30 litres of water is needed.
This means that:
[tex]\frac{s}{l} = \frac{5}{30}[/tex]
[tex]5l = 30s[/tex]
[tex]l = \frac{30s}{5}[/tex]
[tex]l = 6s[/tex]
This means that for s students, at least 6s liters of water will be needed. So, for 30 students, at least 6*30 = 180 liters of water will be needed.
2)Jeremy buys 5 pencils and a notebook. If each
pencil costs $0.59 and a notebook is $2. How
much will Jeremy pay all together?
Answer:
$4.95
Step-by-step explanation:
Answer:
4.59
Step-by-step explanation:
0.59x5=$2.95
2.95+2=4.59
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
1)105°
2) 45°
3)63°
4)108°
5)68°
Step-by-step explanation:
Hope this helps! :)
Does this graph show a function? Explain how you know.
The answer is B!
Answer:
The answer to this question would be B.
Step-by-step explanation:
Tysm for the points! :D
Answer:
yup b
Step-by-step explanation:
Find m
3x-6
8x+4
130
Answer:
<A = 30°
The steps are given in the pic. Hope it will help :)
PLEASE HELP The value of x in A is _, and the value of y in B is_.
1. 3x = 18
2. 3 + x = 18
3. 17 - 6 = x
Help please
Answer:
1. 6
2. 15
3. 11
Step-by-step explanation:
A server sees 90 customers over 6 hours. How many customers did they see in 1 hour? *
Answer:
They saw 15 customers per hour.
Step-by-step explanation:
What is the sum of 1 2 + 1 4 12+14? Use the fraction strip to help.
Answer:
6/8 or in simple terms, 3/4
Step-by-step explanation:
[tex] \frac{1}{2} + \frac{1}{4} \\ = ( \frac{1}{4} + \frac{1}{4} ) + \frac{1}{4} \\ = ( \frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) \\ = ( \frac{2}{8} ) + ( \frac{2}{8} ) + ( \frac{2}{8} ) \\ = \frac{6}{8} \\ = \frac{2 \times 3}{2 \times 4} \\ = \frac{3}{4} [/tex]
The given operation of the two fractions can be found as 6/8. The correct option is (D).
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.
The number a is called as the numerator and b is the denominator.
The given expression is 1/2 + 1/4.
It can be solved using the strip given as below,
The number of 1/8 sections under 1/2 in the strip is 4.
And, the number of 1/8 sections under 1/4 in the strip is 2.
Then, the addition of the two fractions is equivalent to the total number of 1/8 sections under both of them.
It can be written in mathematical form as,
⇒ 1/2 + 1/4
⇒ 4 × 1/8 + 2 × 1/8
⇒ 6/8
Hence, the required sum of the given fractions can be evaluated as 6/8.
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Identify the coefficients and constants in the expression. 2x – y + 5x
Is 5.3 a possible solution to x > 5 ?
Yes 5.3 is greater than 5
5.3 > 5
Answer:
yes, it is.
Step-by-step explanation:
its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!
-2 3 8 у 126 12 Is the relationship linear, exponential , neither?
Answer: It neither
Step-by-step explanation:
because x part is linear while y part is neither linear or exponential.
They both are supposed to have the same relationship since They are not then it’s neither linear or exponential.
Hope it help.
How would the triangle be classified?
Answer:
B. Isosceles right triangle.
Step-by-step explanation:
The triangle given has two sides that have equal lengths. It also has a right angle.
An Isosceles triangle has two equal side lengths.
Therefore, since the triangle above has a right angle and has two equal side lengths, based on the side lengths, it can can be classified as an isosceles right triangle.
HELP PLEASEEEE
The larger of two number is ten more than three times the smaller number The sum of the two numbers is fifty four
Answer:
hasta no se pero nimodoa esta bien adiós baybau
Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
Need help ASAP. Just solve what you can and make sure to tell me what is what.
100 POINTS
Answer:
9x3+5x2=37
8-(7-5)^2+8=12
10-3+5+5x4=32
ill solve rest in comments
9x3+5x2=37
8-(7-5)^2+8=12
10-3+5+5x4=32
What is the diameter or the radius?
Please help
Answer:
Radius, Diameter and Circumference
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
:)
Answer:
Radius = 8.7 cm
Step-by-step explanation:
The height and hypotenuse of the triangle is provided, so all we have to do is use the Pythagorean Theorem. [tex]\sqrt{15^{2}-12.2^{2}}[/tex] and this yields the answer.
Find the Area Please
I need help!
Benjamin had 1/3 of a can of paint left after he painted his room. Instead of throwing it away, he decided to use 3/4 of the remaining paint to make a picture for his sister. How much of the paint will he use to make the picture for his sister?
Answer:
1/4 of a can
Step-by-step explanation:
He had 1/3 of a can.
He used 3/4 of the 1/3 of the can.
He used 3/4 * 1/3 of a can.
3/4 * 1/3 = 3/12 = 1/4
Answer: 1/4 of a can
Please please give answer , the numbers on the side are the options
Answer:
24 tiles (none of the options given is correct)
Step-by-step explanation:
Number of tiles required to floor the room = area of the room/area of 1 tile
Area of the room = 36m * 24m = 864 m²
Area of 1 tile = 6² = 36 m²
Number of times required = 864/36 = 24 tiles
Question 3 of 10
Which of the functions below could have created this graph?
O A. F(x)= x'- *°-38° +3
O B. F(x)== - 5x4 - 4x +5
O c. F(x)=x* +2x +5
O D. F(x) = -x"' +52° + 4
Answer:
The correct answer is A.
Step-by-step explanation:
From the picture you provided, you choose option A, f(x) = x^7 - x^3 - 3x^2 + 3 . Hope that helped :)
The functions that could have created this graph is f(x) = x⁷-x³-3x²+3
What is a function?A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation.
Given is a graph, we need to find its equation,
So, the graph is U-shaped, therefore, the leading coefficient is, a > 0
also, the graph does not have a zero at the origin,
The function which could possibly create the graph is the option; A.
F(x) = x⁷-x³-3x²+3
The leading coefficient is 1 > 0
The function has no factors of x = 0
The function has a linear factor.
Hence, the functions that could have created this graph is f(x) = x⁷-x³-3x²+3
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What do you get when you distribute the -4 to the (11 - 2x)
A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Find the expected frequency for the cell E2,2 to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender. Round to the nearest tenth if necessary. Gender| 0-30| 30-60| 60-90| 90+ Male| 23|35|76|46 Female|31|42|46|16
Answer:
The expected frequency for the cell E2,2 is = 33
Step-by-step explanation:
The given data is
Gender | 0-30| 30-60| 60-90| 90+ Totals
Male | 23 | 35 | 76 | 46 180
Female | 31 | 42 | 46 | 16 135
Totals 54 77 122 62 315
The expected frequency for the cell E2,2 is :
Expected for the (30-60 box for females) = Total of (30-6)/ (total )* females
= ( 77/315)135= 33
Here p= 77/315 and n= 135
therefor X= pn = 33
χ²= (33-42)²/33= 2.455 ( for the single value of E2,2=33)
Expected for the (30-60 box for males) = Total of (30-6)/ (total )* males
= ( 77/315)180= 44
χ²= (44-42)²/44= 0.09
The critical region is χ² (0.05) 3 ≥ χ²= 11.34
Let the null and alternate hypothesis be
H0:the number of minutes spent online per day is not related to gender
against
Ha: the number of minutes spent online per day is related to gender
The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.