Answer:
[tex]1.49S + 4.39B \leq 20[/tex]
Step-by-step explanation:
The options are not given; However, the question can be solved without the list of options
Given
Let S represent packs of Streamers
Let B represent packs of Balloons
Required
Represent this with an inequality
From the question, we understand that;
[tex]1S\ =\ \$1.49\ and\ \ 1B\ = \ \$4.39[/tex]
Also, it's stated that Aracely can't spend more than $20;
This mean that the maximum Aracely can spend is $20 and it can be represented with the inequality sign [tex]\leq 20[/tex]
Bringing them together;
[tex]1.49S + 4.39B \leq 20[/tex]
Select all angle measures for which cos0= 1/2
Answer:
cos -60° = [tex]\frac{1}{2}[/tex] ,
cos 660° = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
hope it helps
Answer:
-60 and 660
Step-by-step explanation:
Edge 2020
5 1/2 to improper fraction
Answer:
[tex]5 \frac{1}{2} = \frac{(5 \times 2) + 1}{2} = \frac{11}{2} [/tex]
So the answer is 11/2 .
Answer:
The answer is 11/2
Step-by-step explanation:
Simply multiply 2 and 5 to get 10 and then add 1 to get 11 so 11/2
How do I find the 5th term of a sequence defined by the given rule? f(n)= 6.5n + 4.5 Can someone also explain the rule(s)? I'm having trouble understanding all of this
Answer:
30.5
Step-by-step explanation:
This sequence is defined by f(n)=6.5 + 4.5
The term inside the parentheses (n) is the value you should input to get an output.
n varies from 0 to infinity
Now to find the fifth term put in mind that 0 is the first term.
This means that f(5) isn't the fifth term. In fact, it's the sixth term. So f(4) is the fifth term.
To find f(4) replace n by 4.
f(4) = 6.5 *4 +4.5 = 26+4.5=30.5
The length of needles produced by a machine has standard deviation of 0.04 inches. Assuming that the distribution is normal, how large a sample is needed to determine with a precision of ±0.005 inches the mean length of the produced needles to 98% confidence?
Answer:
The sample size is [tex]n = 87[/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 0.04 \ inches[/tex]
The precision is [tex]d = \pm 0.005 \ inches[/tex]
The confidence level is [tex]C =[/tex]98%
Generally the sample size is mathematically represented as
[tex]n = \frac{ Z_{\frac{\alpha }{2} } ^2* \alpha^2 }{d^2}[/tex]
Where [tex]\alpha[/tex] is the level of significance which is mathematically evaluated as
[tex]\alpha = 100 - 98[/tex]
[tex]\alpha = 2[/tex]%
[tex]\alpha = 0.02[/tex]
and [tex]Z_{\frac{\alpha }{2} }[/tex] is the critical value of [tex]\alpha[/tex] which is obtained from the normal distribution table as 2.326
substituting values
[tex]n = \frac{2.326 ^2* 0.02^2 }{0.005^2}[/tex]
[tex]n = 87[/tex]
A que hora después de las 3 las agujas de un reloj determinan un ángulo que mide 54 por primera vez
Answer:
3:06
Step-by-step explanation:
primero debemos calcular a cuántos minutos equivale un ángulo de 54°. Para hacer esto utilizamos una regla de 3 simple donde 60 minutos equivale a 360° grados, entonces:
60 minutos ----- 360°
x minutos -------- 54°
Resolviendo para x, tenemos:
[tex]x=\frac{54*60}{360}=9[/tex]
Entonces si las manecillas están a 9 minutos de diferencia, el ángulo será 54°. Si la hora es después de las 3, significa que la manecilla de la hora estará en el minuto 15 y la otra debe estar 9 minutos antes, es decir en el minuto 6.
Por lo tanto, la hora después de las 3 en la cual se forma un ángulo de 54° por primera vez es a las 3:06
A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.
Answer:
Please refer to the graph in the attached area.
Step-by-step explanation:
Given:
Total money available with the customer is $10.
Cost of each hotdog is $2.
Cost of each drink is is $2.50.
To find:
The graph of inequality.
Solution:
Let number of hotdogs bought = [tex]x[/tex]
Total cost of hotdogs = [tex]2x[/tex]
Let number of drinks bought = [tex]y[/tex]
Total cost of drinks = [tex]2.5y[/tex]
Total cost = [tex]2x+2.5y[/tex]
And total money available is $10.
So, the total cost calculated above must be lesser than or equal to $10.
Hence, the inequality is:
[tex]2x+2.5y<10[/tex]
Also there will be two conditions on variables [tex]x[/tex] and [tex]y[/tex]:
[tex]x\ge0\\y\ge0[/tex]
To graph this, let us find the points on the equivalent equation:
[tex]2x+2.5y = 10[/tex]
Finding two points on the equation.
First put x = 0 [tex]\Rightarrow[/tex] y = 4
Then put y = 0, [tex]\Rightarrow[/tex] x = 5
So, two points are (0, 4) and (5, 0).
Now, plotting the line.
Having point (1,2) in the inequality:
2 + 5 < 10 (True) hence, the graph of inequality will contain the point (1,2)
Please refer to the graph of inequality in the attached graph.
That guy this question is evil help
Answer:
450 mins/night
Step-by-step explanation:
The average of a data set is the sum of all of the data divided by the number of data elements in the set. In this case, that would be:
(8 + 6.5 + 7 + 8.5) / 4
= 30 / 4
= 7.5 hours
7.5 hours is 7.5 * 60 = 450 mins/night
Answer:
450 mins per night
Step-by-step explanation:
average = [tex]\frac{sum \: of \: terms}{number \: of \: terms}[/tex]
average = (8 + 6.5 + 7 + 8.5)/4
average = 30/4
average = 7.5
The average is 7.5 hrs.
Convert hrs to mins.
7.5 × 60 = 450
2) A basketball player scores 70% of his shots on average. What is the probability that he scores at least 18 successful shots tonight if he gets 20 shots?
Answer:
3.54%
Step-by-step explanation:
This question represents a binomial distribution. A binomial distribution is given by:
[tex]P(x)=\frac{n!}{(n-x)!x!} p^xq^{n-x}[/tex]
Where n is the total number of trials, p is the probability of success, q is the probability of failure and x is the number of success.
Given that:
A basketball player scores 70% of his shots on average, therefore p = 70% = 0.7. Also q = 1 - p = 1 - 0.7 = 0.3.
The total number of trials (n) = 20 shots
The probability that he scores at least 18 successful shots tonight if he gets 20 shots = P(x = 18) + P(x = 19) + P(x = 20)
P(x = 18) = [tex]\frac{20!}{(20-18)!18!}*0.7^{18}*0.3^{20-18}=0.0278[/tex]
P(x = 19) = [tex]\frac{20!}{(20-19)!19!}*0.7^{19}*0.3^{20-19}=0.0068[/tex]
P(x = 20) = [tex]\frac{20!}{(20-20)!20!}*0.7^{20}*0.3^{20-20}=0.0008[/tex]
The probability that he scores at least 18 successful shots tonight if he gets 20 shots = P(x = 18) + P(x = 19) + P(x = 20) = 0.0278 + 0.0068 + 0.0008 = 0.0354 = 3.54%
Express the equation in the slope y-intercept form: y = mx + b. 2x−3y+1 = 0
Answer:
y = 2/3x+1/3
Step-by-step explanation:
2x−3y+1 = 0
Solve for y
Add 3y to each side
2x−3y+1 +3y= 0+3y
2x +1 = 3y
Divide by 3
2/3 x + 1/3 =3y/3
2/3x +1/3 = y
The slope is 2/3 and the y intercept is 1/3
y = 2/3x+1/3
Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers to three decimal places.)
a. Confidence level = 95%, df = 10
b. Confidence level = 95%, df = 15
c. Confidence level = 99%, df = 15
d. Confidence level = 99%, n = 5
e. Confidence level = 98%, df = 23
f. Confidence level = 99%, n = 32
Answer:
A. 1.812
B. 1.753
C. 2.602
D. 3.747
E. 2.069
F. 2.453
Step-by-step explanation:
A. 95% confidence level, the level of significance = 5% or 0.05
Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 10 degrees of freedom = 1.182
B. 95% confidence interval = 0.05 level of significance
Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 15 degrees of freedom = 1.753
C. 99% confidence interval = 0.01 level of significance
Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 15 degrees of freedom = 2.602
D. 99% confidence interval = 0.01 level of significance; DF (n - 1) = 5- 1 = 4
Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 4 degrees of freedom = 3.747
E. 98% confidence interval = 0.02 level of significance
Using t-table, the critical value for a lower or an upper confidence bound at 0.02 significance level with 23 degrees of freedom = 2.069
F. 99% confidence interval = 0.01 level of significance; df (n - 1) = 32 - 1 = 31
Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 31 degrees of freedom = 2.453
If jimmy has 15 apples and give 7 to gohn how many does jimmy have?
Answer:
Hey there!
Jimmy has 15-7, or 8 apples left.
Hope this helps :)
Barry spent 1/5 of his monthly salary for rent and 1/7 of his monthly salary for his school loans. If $851 was left, what was his monthly salary?
Answer:
1295$
Step-by-step explanation:
Let's denote the monthly salary of Barry A.
Then we have:
A - (1/5)A - (1/7)A = 851
or
(35A - 7A - 5A)/35 = 851
or
23A = 851 x 35
or
23A = 19785
or
A = 1295$
What does 1/6 of 1272 equal?
Answer:
212
Step-by-step explanation:
Answer:
212
Step-by-step explanation:
you have to first divide 1272 by 6 or you can find a number that you can multiply it by so what times 6 equals 1272 so it is guess and check meathodso 200x6 = 1200, and 12x6= 721200+72=1272 and 200+12=212Use Euler's Formula to find the missing number. Vertices: 11 Edges: 34 Faces: _______
Answer:
I think the correct answer is 45.
Step-by-step explanation:
how to simplify this expression ?
Answer:
[tex]\large \boxed{\sf \ \ \dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{2x+1}{x^2(x+1)} \ \ }[/tex]
Step-by-step explanation:
Hello,
This is the same method as computing for instance:
[tex]\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{3+2}{2*3}=\dfrac{5}{6}[/tex]
We need to find the same denominator.
Let's do it !
For any x real different from 0, we can write:
[tex]\dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{1}{x^2}+\dfrac{1}{x(x+1)}\\\\=\dfrac{x+1+x}{x^2(x+1)}=\dfrac{2x+1}{x^2(x+1)}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Calculate the side lengths a and b to two decimal places
A. a= 10.92 b=14.52 <--- My answer
B. a= 11 b= 15
C. a=4.18 b=3.15
D. a= 11.40 b=13.38
Answer:
Option (D)
Step-by-step explanation:
In the picture attached,
An obtuse angle triangle ABC has been given.
By applying Sine rule in the triangle,
[tex]\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}[/tex]
Since, m∠A + m∠B + m∠C = 180°
45° + 110° + m∠C = 180°
m∠C = 180°- 155° = 25°
[tex]\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}[/tex]
[tex]\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374[/tex]
[tex]\frac{\text{Sin110}}{b}=0.060374[/tex]
b = [tex]\frac{\text{Sin110}}{0.060374}[/tex]
b = 15.56
b ≈ 15.56
[tex]\frac{\text{Sin45}}{a}=0.060374[/tex]
a = [tex]\frac{\text{Sin45}}{0.060374}[/tex]
a = 11.712
a = 11.71
Therefore, Option (D) will be the answer.
Find the perimeter and area of the figure. Round to the nearest tenth if necessary. 33.7 mm; 108 mm2 33.7 mm; 54 mm2 30.7 mm; 50.2 mm2 33.7 mm; 53.2 mm2
Answer:
Perimeter: 33.7 mm
Area: 54 mm
Step-by-step explanation:
If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = [tex]\frac{1}{2}[/tex] x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.
A normal population has a mean of 61 and a standard deviation of 13. You select a random sample of 16. Compute the probability that the sample mean is: (
This question is incomplete
Complete Question
A normal population has a mean of 61 and a standard deviation of 13. You select a random sample of 16. Compute the probability that the sample mean is: (Round z values to 2 decimal places and final answers to 4 decimal places.)
(a) Greater than 64
(b) Less than 57
Answer:
(a) Greater than 64 = 0.1788
(b) Less than 57 = 0.1094
Step-by-step explanation:
To solve the above questions we would be using the z score formula
The formula for calculating a z-score :
z = (x - μ)/σ,
where x is the raw score
μ is the population mean = 61
σ is the population standard deviation = 13
(a) Greater than 64
z = (x - μ)/σ,
where x is 64
μ is the 61
σ is the 13
In the above question, we are given the number of samples = 16
Sample standard deviation = popular standard deviation/ √16
= 13/√16
z = 64 - 61 ÷ 13/√16
z = 3/3.25
z = 0.92308
Approximately, z values to 2 decimal places ≈ 0.92
Using the z score table of normal distribution to find the Probability (P) value of z score of 0.92
P(z = 0.92) = 0.82121
P(x>64) = 1 - P(z = 0.92)
= 1 - 0.82121
= 0.17879
Approximately , Probability value to 4 decimal places = 0.1788
(b) Less than 57
z = (x - μ)/σ,
where x is 57
μ is the 61
σ is the 13
In the above question, we are given the number of samples = 16
Sample standard deviation = popular standard deviation/ √16
= 13/√16
z = 57 - 61 ÷ 13/√16
z = -4/3.25
z = -1.23077
Approximately, z values to 2 decimal places ≈ -1.23
Using the z score table of normal distribution to find the Probability (P) value of z score of -1.23
P(z = -1.23) = P(x<Z) = 0.10935
Approximately , Probability value to 4 decimal places = 0.1094
Another math problem. Can you solve it? I can't... For a good answer I'll make it 'The Best' I hope you can help me... Thanks
Answer:
[tex]\boxed{\sf \ \ \ 10^2+11^2+12^2=13^2+14^2 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
let's note a a positive integer
5 consecutive integers are
a
a+1
a+2
a+3
a+4
so we need to find a so that
[tex]a^2+(a+1)^2+(a+2)^2=(a+3)^2+(a+4)^2\\<=>\\a^2+a^2+2a+1+a^2+4a+4=a^2+6a+9+a^2+8a+16\\<=>\\3a^2+6a+5=2a^2+14a+25\\<=>\\a^2-8a-20=0\\<=>\\(a+2)(a-10)=0\\<=>\\a = -2 \ or \ a = 10\\[/tex]
as we are looking for positive integer the solution is a = 10
do not hesitate if you have any question
2 questions
1) how to make 1, 2, 3, 4, 5 = 1
2) how to make 1, 2, 3, 4, 5 = 3
Answer:
5+2+1 - 4 -3 = 1
5+4 - 3-2-1 =
Step-by-step explanation:
we have to ad and subtract number in such a way that result is 1.
1, 2, 3, 4, 5
5+2+1 - 4 -3 = 1
8-7 = 1
___________________________________________
In this problem we have use mathematical signs to get 3.
we add 5 and 4 which gives 9
and subtract 3,2 and 1 from it.
5+4 - 3-2-1 = 9 - 6 = 3
G(x) = 5x + 3
Find g(b2)
Answer:
g(2) =10x+6
Step-by-step explanation:
g(x) =5x+3
g(2)=5x+3
g(2)=10x+6
have a great day
In triangle ABC a=34 b=18 and c=17 Find m?A
Answer:
152.53°
Step-by-step explanation:
The Law of Cosines is useful for finding an angle when sides are given.
a^2 = b^2 +c^2 -2bc·cos(A)
A = arccos((b^2 +c^2 -a^2)/(2bc))
A = arccos((18^2 +17^2 -34^2)/(2(18)(17))) = arccos(-543/612)
A ≈ 152.53°
At the bookstore near Martha's home, hardcover books cost 21 dollars. The cost of a paperback book is only 4/7 of the cost of a hardcover book. How many dollars will Martha have to pay for one paperback book?
Answer:
The cost of the paper book= $12
Step-by-step explanation:
Hardcover books costs $21
But paper book cost only a fraction of the hardcover book.
The paper book cost 4/7 of the hardcover book.
The cost of paper book= 4/7* paper book
The cost of paper book = 4/7*$21
The cost of the paper book= 4*3
The cost of the paper book= $12
Pretty much Self explanatory :) I don't understand this...
Answer:
Step-by-step explanation:
you have to keep going cause if you count the fives there's a 25 but right next to the 25 there's 24 all you have to do is watch what your doing just watch your steps
The number that, when increased by 30% equals 78
Answer:
60
Step-by-step explanation:
x + 0.30x = 78
1.30x = 78
x = 60
Answer:
The answer is 60.
Step-by-step explanation:
here, let another number be x.
according to the question the number when increased by 30% will be 78. so,
x+ 30% of x =78
now, x+ 30/100×x =78
or, x+0.3x=78
or, 1.3x=78
Therefore the another number is 60.
Hope it helps...
When the input is 4, the output of f(x) = x + 21 is
Answer:
25Step-by-step explanation:
When the input is 4, the output of f(x) = x + 21 is f(4).
Substitute x = 4 to f(x):
f(4) = 4 + 21 = 25
Answer:
25
Step-by-step explanation:
We can find the output by plugging in 4 as x into the function:
f(x) = x + 21
f(4) = 4 + 21
f(4) = 25
Plz help answer a - d 1. Miguel is playing a game in which a box contains four chips with numbers written on them two of the chips have the number one one chip has the number three and the other chip has the number 5 Miguel must choose to chips if both chips have the same number he wants to dollars if the two chipsy chooses have different numbers he loses $1 (-$1) Look at pictures for the questions
Answer:
Step-by-step explanation:
Hello!
Miguel has four chips, two have the number "1", one has the number "3" and the other has the number "5"
If the experiment is "choosing two chips and looking at their numbers" there are the following possible outcomes:
S= {(1,1)(1,3)(1,5)(3,1)(5,1)(3,5)(5,3)}
The sample space for the experiment has 7 possible combinations.
a)
Be X: the amount of money Miguel will receive or owe.
If two chips with the same number are chosen he will receive $2
If the chips have different number he will owe $1
Looking at the possible outcomes listed above, out of the 7, in only one he will select the same number (1,1)
So the probability of him receiving $2 will be 1/7
Now out of the 7 possible outcomes, 6 will make Miguel owe $1, so you can calculate its probability as: 6/7
xi | $2 | -$1
P(xi) | 1/7 | 6/7
b)
To calculate the expected value or mean you have to use the following formula:
[tex]\frac{}{X}[/tex]= ∑[xi*P(xi)]= (2*1/7)(-1*6/7)= -4/7= $-0.57
c)
The expected value is $-0.57, meaning that Miguel can expect to owe $0.57 at the end of the game.
d)
To make the game fair you have to increase the probability of obtaining two chips with the same number. Any probability close to 50% will make the game easier. For example if you change the experiment so that for earning $2 the probability is 4/7 and for owing $1 the probability is 3/7, the expected earnings will be:
(2*4/7)+(-1*3/7)= $0.71
I hope this helps!
w=pv for p, how do you get the answer?
Answer:
you need to have values for w and v
but u basically have to do
MOVE V TO THE OTHER SIDE
SO
W/V=P
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer:
128
Step-by-step explanation:
You have two jars and seven marbles.
You do 2^{7}.
That is 128
Answer:
16384
Step-by-step explanation:
Its correct :)
A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test:
H0:p=0.65
Ha:p<0.65
In this example, the p-value was determined to be 0.277. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Select the correct answer below:
A. There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%.
B. There is NOT sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%.
C. There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 35%.
D. There is NOT sufficient evidence to conclude that the pronortion of people wearing seat belts is less than 35%
Answer:
Option A - There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%
Step-by-step explanation:
The police officers claim is that the proportion of people wearing seat belts is less than 65%.
Now, we are told that the p - value is 0.277.
In hypothesis, for a significance value of 0.05, if the P value is less than 0.05, we reject the null hypothesis and if P value is greater than or equal to 0.05, we fail to reject the null hypothesis.
Now, since the significance level is 5% = 0.05,we can see that the P-value is greater than the significance value of 0.05. Thus, we fail to reject the police claim that the proportion of people wearing seat belts is less than 65%.
So the correct option is A.