Solve for x. Round your answer to the nearest tenth
Answer:
x = 19.19°
Step-by-step explanation:
cos x = 17/18
cos x = 0.9444
x = 19.19°
Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using ∝ = 0.05, what conclusion should Lucy reach?
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Answer:
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Step-by-step explanation:
To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.
The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.
The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.
The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).
However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.
For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?
Based on the arithmetic sequence, the sum of the first 19 terms is 532.
Sum of an arithmetic sequence1, 4, 7, 10, 13, 16...
First term, a = 1Common difference, d = 4 - 1 = 3n = 19Sn = n/2{2a + (n - 1)d}
= 19/2{2×1 + (19 - 1)3}
= 9.5{2 + (18)3}
= 9.5(2 + 54)
= 9.5(56)
Sn = 532
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2x+3=5` write this in statement form.`
Answer:
2 product of x & adding it from 3 is equals to 5 ..
I need help please help
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
Answer: 103.25
Step-by-step explanation:
area of the rectangle is 4*16= 64
The area of the complete circle is [tex]\pi r^{2}[/tex]
r=d/2
r=10/2
r=5
[tex]25\pi[/tex] is the area of the full circle
[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle
area of the figure
[tex]64+\frac{25\pi }{2}[/tex]=103.27
PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU
Answer:
11 cows and 6 ducks
Step-by-step explanation:
Plzz help meee! I am timed
Answer:
The Answer Is 8 five dollar bills
Step-by-step explanation:
First you Multiply 5 by 8 Then divide the answer by 5
a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere
Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS
-3(4x + 3) +4(6x + 1)= 43
Step by step solution
Need help ASAP PLEASE!!
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$11,500.00 R=10% T=60 days
Answer:
Step-by-step explanation:
Simple interest is
I=Prt
I=11500(0.10)(60/360)
I=$191.67
Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5
The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is [tex]f(x)=x^2[/tex]
Given that [tex]f(x)=x^2+5[/tex]
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
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Will Give Brainliest if you anwser the question before 12:45
Answer:
[tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Math
Converting to FractionsKCF - Keep Change Flip (Dividing Fractions)Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
Step 2: Compute
(Parenthesis) [Fraction] (Parenthesis) Subtract: [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Convert to fractions: [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Multiply/Divide: [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Divide: [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Convert to fraction: [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Add: [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]Divide: [tex]\displaystyle \frac{7}{100} + 0.43[/tex]Convert to fraction: [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]Add: [tex]\displaystyle \frac{50}{100}[/tex]Simplify: [tex]\displaystyle \frac{1}{2}[/tex]SOMEONE PLEASE ME RN I BEG YOU
Given:
The piece-wise function is:
[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]
To find:
The domain of the given function.
Solution:
Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.
The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is
[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]
Therefore, the correct option is B.
Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. Draw numbers to complete the diagram to the number of purple tokens. Numbers may be used once, more than once, or not at all.
I need help on this problem
Step-by-step explanation:
[tex] {f}^{ - 1} (x) = x \: value[/tex]
[tex]f(x) = \sqrt[4]{x} + 6 \\ [/tex]
[tex]x - 6 = \sqrt[4]{x} [/tex]
[tex] {(x - 6)}^{4} = x[/tex]
[tex] {f}^{ - 1}(x) = {(x - 6)}^{4} [/tex]
When Reena subtracted 9 from thrice a number, the result was 15. Then the number is
-7
8
-3
-8
Answer:
8
Step-by-step explanation:
Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15
Answer:
Step-by-step explanation:
let the number be x
3x-9=15
3x=15+9 add 9 from both sides
3x=24
x=8
Solve for x.
2/x = 6/2
Answer:
X = 2/3
Hope this helps :D
Use the Binomial Theorem to expand (x + 1)^6
Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
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Find the equation of the line.
Use exact numbers.
Answer:
(0,-3) and (6,0)
Step-by-step explanation:
Now you use two point form to make equation
Y2-Y1/Y-Y1=X2-X1/X-X1
here Y2=0 ,Y1=-3
X2=6 and X1=0 now put in equation to get answer
What is the answer?1/3(x-10)=-4
Answer:
x=-11
Step-by-step explanation:
not entirely sure what it means by DBJ, but lets see..
i believe the answer is x=-11.
please resend the problem fixed
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answer:
The Z score for $37,000 is 8.49.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
Express each rate below as a unit rate.
975 calories in 13 brownies
Answer:
Step-by-step explanation:
975/13=75
75 calories per brownie
What are the coordinates of point of intersection of y=x+3 and y=3x-3?
Answer:
Correct option is
D
(0, 0)
Form the graph, we can see that solution is (0,0).
or
The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.
From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).
Answer:
Step-by-step explanation:
At the point of intersection, x+3 = 3x-3
6=2x
x = 3
y = x+3 = 6
The principal of a high school e-mails a survey to all parents asking them to vote on the best time to have the PTA meeting. She only receives responses from 56% of the parents. Describe how the design of the survey leads to bias.
A. A nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
B. A nonresponse error was made in this design. This type of sampling only represents the parents at this school and not the entire population.
C. A convenience sample error was made in this design. This type of sampling only represents the parents with e-mail addresses and not the entire population.
D. An undercoverage error was made in this design. This type of sampling only represents the parents in the city and not the entire population.
E. There are no potential areas of bias.
Answer:
A
Step-by-step explanation:
The design of the survey leads to bias because a nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
Only 56% of response were received this means the entire population did not participate in the survey only a chuck of them answered the survey. This can lead to a biased result, an assumption.
Jan had 30 dollars saved for a new bike. This was one third of needed to save. how much does the bicycle cost?
Answer:
90 dollars
Step-by-step explanation:
I did maths hghbhhbghfggghggfgy
what is 2/3 + 1/4 as a fraction
Answer:
[tex] \frac{11}{12} [/tex]
Can I be brainliest pls
What is -456 divided by -18
Answer:
25.3333333
Step-by-step explanation:
Answer: 25.33
Step-by-step explanation:
First yo divide -456 / -18
Last is the result (what you get): 25.33
A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face-upon the cube 32 times. What is the closest estimate for the experimental probability of 6 landing face-up on the cube?
A: 0.087
B: 0.107
C: 0.127
D: 0.188
Answer:
Step-by-step explanation:
Experimental probability is the number of a certain outcome divided by the number of trials, in this case
32/300
0.10666... rounded to nearest thousandth this is
0.107
Answer:
B
Step-by-step explanation:
Kyra is framing a square painting with side lengths of (x + 6) inches.
The total area of the painting and the frame has a side length of (2x −
5)
inches.
The material for the frame will cost $0.07
per square inch.
Complete Question:
Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.
Find the cost of the material for the frame is x = 16.
Answer:
The material cost of the frame is: $17.15
Step-by-step explanation:
Given
[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting
[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting
[tex]Cost = \$0.07[/tex] per square inch
Required
The cost of material of the frame
First, we calculate the area of the frame only
This is the difference between the areas of the frame and painting and the area of the painting
[tex]Area = (L_2)^2 - (L_1)^2[/tex]
[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]
Substitute 16 for x
[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]
[tex]Area = (27)^2 - (22)^2[/tex]
[tex]Area = 245\ in^2[/tex]
The cost of the painting is:
[tex]Total\ Cost = Unit\ Cost * Area[/tex]
[tex]Total\ Cost = \$0.07 * 245[/tex]
[tex]Total\ Cost = \$17.15[/tex]
Hence, the material cost of the frame is: $17.15