-49 is a rational number.
There are only 3 types of numbers that are irrational.
1.
2. Square roots that are not perfect squares (e.g. the suqare root of 5)
3. Numbers that don't end, and are not repeated. (e.g. 4.765544323456765432345654345.....)
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Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter
Answer:
x=20
Step-by-step explanation:
Both Angles have the same value, as they are opposite angels.
Set your formula up as
5x+20=3x+60
5x=3x+60-20
2x=40
x=40/2
x=20
What is the answer for this question above
Find all solutions
for cotx=-1
Answer:
[tex]\cot(x) = -1[/tex] whenever [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] radians, where [tex]k[/tex] could be any integer ([tex]k \in \mathbb{Z}[/tex], which includes positive whole numbers, negative whole numbers, and zero.)
Step-by-step explanation:
[tex]x = 45^\circ[/tex] (as in isoscele right triangles) would ensure that [tex]\displaystyle \cot(x) = 1[/tex]. Since cotangent is an odd function, [tex]\cot(-45^\circ) = -1[/tex].
Equivalently, when the angles are expressed in radians, [tex]\cot(-\pi / 4) = -1[/tex].
The cycle of cotangent is [tex]\pi[/tex] (or equivalently, [tex]180^\circ[/tex].) Therefore, if [tex]k[/tex] represents an integer, adding [tex]k\, \pi[/tex] to the input to cotangent would not change the output. In other words:
[tex]\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1[/tex].
Hence, [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] would be a solution to [tex]\cot(x) = -1[/tex] whenever [tex]k[/tex] is an integer.
Since [tex](-\pi / 4)[/tex] is the only solution to this equation in the period [tex](0,\, \pi)[/tex], all real solutions to this equation would be in the form [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] (where [tex]k[/tex] is an integer.)
Anna has 80 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Answer:she has 20 pennies because
Step-by-step explanation:80 divide by 4 = 20
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
A sociologist studying fertility in France and Switzerland wanted to test if there was a difference in the average number of babies women in each country have. The sociologist obtained a random sample of women from each country. Here are the results of their test:
Country Sample Size n Mean SD France 100 1.85 1.3 Switzerland 100 1.65 1.2
At the alfa-.05 level of significance, is there sufficient evidence to conclude that there is a difference in the average number of babies women in each country have?
a. Yes, test statistics z- 1.13 and p-vaue is.125
b. No, Test statistics z= 1.13 and p-value is .258
c. Yes, the test statistic Z- 1.13 and p-valve is 258
d. Yes, test statistics T 1.13 and p-value is .258
Answer:
b.
Step-by-step explanation:
From the given information:
Null and alternative hypothesis is:
[tex]H_o : \mu _{france} = \mu_{switzerland} \\ \\ H_a : \mu _{france}\neq \mu_{switzerland}[/tex]
Given:
Number of babies France Switzerland
Sample size (n) 100 100
Mean 1.85 1.65
SD 1.3 1.2
The test statistics can be computed as:
[tex]Z = \dfrac{\bar x_{france} - \bar x_{switzerland}}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}}[/tex]
[tex]Z = \dfrac{1.85- 1.65}{\sqrt{\dfrac{1.3^2}{100}+\dfrac{1.2^2}{100}}}[/tex]
[tex]Z = \dfrac{0.2}{\sqrt{0.0313}}[/tex]
[tex]Z = 1.130[/tex]
degree of freedom = [tex]n_1 + n_2 -2[/tex]
= 100 + 100 -2
= 200 -2
=198
At 0.05, using the [tex]t_{dist}[/tex] table;
P-value = [tex]t_{dist} (1.130,198,2)[/tex]
P-value = 0.258
Since P-value is greater than ∝ = 0.05, We fail to reject [tex]H_o[/tex]
We conclude that there is No statistical difference at the 0.05 level. Hence [tex]\mu_{france} \neq \mu_{switzerland}[/tex]
The significance level shows that there is no sufficient evidence to conclude that there is a difference in the average number of babies as B. Test statistics z= 1.13 and p-value is 0.258
What is a significance level?It should be noted that a significance level simply means the probability that an event could have taken place by chance.
In this case, the test statistic will be:
= (1.85 - 1.65)/(✓1.3²/100 + 1.2²/100)
= 1.13
This is a two tailed test. Therefore, the p value will be:
= 2(1 - 0.87076)
= 0.258
Therefore, the p value is more than 0.05 and there's no sufficient evidence to reject the null hypothesis.
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Quesion is in picture
Answer:
answe is option 3 is currect ans
Answer:
(x + 1)(x + 2
________
2
Step-by-step explanation:
Good luck.
7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?
A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i.e., X ⊆Y). Choose the description that accurately describes relation R.
a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive
Answer:
The answer is "Choice D"
Step-by-step explanation:
Determining the information:
For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]", [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:
For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X not proper subset of[tex]X[/tex]. So, R does not havereflexive.
R does not have symmetry:
For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]" is not true because [tex]X[/tex] not relate to [tex]Y[/tex]. So, R is not symmetric.
R does not have antisymmetric:
When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]
Therefore, R is anti-symmetric.
Multiply 0.06 by 0.021
Answer:
Just multiply:
= 0.06×0.021
= 1.26
is this the right answer I don't even know my answer
Answer:
0.00126
Step-by-step explanation:
If you just ignore the decimals for a second, and focus on the numbers, then when you multiply 6 by 21, you get 126.0. Then move the decimal over 5 spaces, because there are 5 decimal spaces in total. Sorry if my explanation is a little confusing.
Hope that this helps!
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
Solve for the variable then find the missing angle.
Answer:
Step-by-step explanation:
40+40=3x+20(sum of two interior opposite angle is opposite to the exterior angle formed)
=80=3x+20
=80-20=3x
=60/3=x
=20=x
substitute the value of x
=3x+20
=3*20+20
=60+20
=80
v+71=107 degree(sum of two interior opposite angle is equal to the external angle formed)
=v=107-71
=v=36 degree
What is the unit of temperature to be used when answering gas law problems?
Answer:
Kelvin is used when answering gas law problems.
Choose the correct expression for each Written in word form.8 less than the product of 3 and j
Answer:
3j - 8
Step-by-step explanation:
A local college is forming a seven-member research committee having one administrator, three faculty members, and three students. There are five administrators, 14 faculty members, and 18 students in contention for the committee. How many seven-member committees are possible
Answer:
1485120
Step-by-step explanation:
Since the order of arrangement does not matter, we use combination :
Recall :
nCr = n! ÷ (n-r)!r!
For administrator : 1 out of 5 :
5C1 = 5! ÷ (5-1)!1!
For faculty members : 3 out of 14 :
14C3 = 14! ÷ (14 - 3)!3!
For students : 3 out of 18 :
18C3 = 18! ÷ (18 - 3)!3!
5C1 * 14C3 * 18C3 = 1485120
The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.
A test statistic is a numerical value calculated from sample data in hypothesis testing.
Given that
Sample 1: Store M
Sample size, [tex]n_1[/tex] = 35,
Sample mean, [tex]\bar{X_1}[/tex] = 300,
Standard deviation, [tex]s_1[/tex] = 40.
Sample 2: Store V
Sample size, [tex]n_2[/tex] = 40,
Sample mean, [tex]\bar{X_2}[/tex] = 290,
Standard deviation, [tex]s_2[/tex] = 35.
The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,
[tex]\mu_1 =\mu_2[/tex].
The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,
[tex]\mu_1 \neq\mu_2[/tex].
Under the null hypothesis, the test statistic is
[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]
[tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]
Hence the test statistic is 1.145.
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Which pair of expressions below are equivalent (the same)?
1. 2x + 2y and 4xy
2. 3(x + 4) and 3x + 12
3. 7x + 6x and 42x
4. 5x + x + x and 6x
Please help it’s a test !
Answer:
2.
Step-by-step explanation:
2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45
Pleaseee answer thisss!!
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
I WILL MARK BRAINLIEST (PICTURE INCLUDED)A right triangle ABC is shown below: А 3 units B 5 units The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.)
Hurry which one
A.144
B.204
C.408
D.1200
Answer:
B) 204
Step-by-step explanation:
Rectangle 12 * 12 = 144
+
(2) Triangle A=h (b/2) = 12*(5/2) = 30 each
Please help due tomorrow
Answer:
Here's What you do:
Draw a line that comes straight through the middleIt has to create 4 - 90° angles (use a protractor to measure)There's a picture attached on how a perpendicular lines should look like.
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
A survey shows that in one year, the average number of bilingual employees in an office was 12. Assume that the standard deviation is 3 and the number of bilingual employees is Normally distributed. Include an appropriately labeled and shaded Normal curve for each part.
Required:
a. What percentage of offices have more than 12 bilingual employees?
b. What percentage of offices have less than 10 bilingual employees?
c. What percentage of offices have between 8 and 14 bilingual employees?
Answer:
b
Step-by-step explanation:
Which relation is also a function?
The relation represented by graph A can be stated as function.
Thus, option (A) is correct.
A) The graph have input values {-5, -4, 0, 3, 4, 7}
and, all input have distinct output values {7, 5, 0, -1, -5}.
So, the graph is function.
B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.
Here, the input value -6 have two distinct output 5 and 4.
C) The table is not function.
Here, the input value 15 have outputs 2 and 3.
and 20 have two distinct output as 4 and 5.
D) The graph is not function as using verticals line test the curve have two same input value with different output value.
Thus, option (A) is correct.
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The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
A car company invests $200,000 in developing auto-car software. Each software costs $150 to produce and
sells for $400. How many software must the company sell break-even? Determine the break-even point.
Refer to the Cost and Revenue equation.
Answer:
Break even unit = 800
Break even point = $320,000
Step-by-step explanation:
Given:
Amount invested (Fixed cost) = $200,000
Each software cost (variable cost) = $150
Selling price = $400
Find:
Break even unit
Computation:
Assume;
Break even unit = a
Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]
Total cost = 200,000 + 150a
Total revenue = Selling price[Break even unit]
Total revenue = 400a
So,
400a = 200,000 + 150a
250a = 200,000
Break even unit = 800
Break even point = 400a
Break even point = 400(800)
Break even point = $320,000
Need help! Algebra 2. Sorry for the weird pattern on the pic
Answer: D
How to: Find the asymptotes.
Vertical Asymptotes: x = − 1
Horizontal Asymptotes: y = 0
No Oblique Asymptotes
Have a great day and stay safe !
At the beach, 49% of people have red towels and 11% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?
Answer: 40%
Step-by-step explanation:
Percentage of people that have red towels = 49%
Percentage of people that have blue towels = 11%
Therefore, the percentage of the people at the beach have white
towels will be:
= 100% - (49% + 11%)
= 100% - 60%
= 40%
Therefore, the answer is 40%.
Answer:
40%
Step-by-step explanation:
Just took the test
Which expression represents 1/64
a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)
Answer:
The answer is B
Hope this helps
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