D(6,30)
Lets verify
\(\\ \sf\longmapsto y=5x\)
\(\\ \sf\longmapsto 30=5(6)\)
\(\\ \sf\longmapsto 30=30\)
Answer:
D) (6, 30)
Step-by-step explanation:
\({ \tt{y = 5x}}\)
• when x is 6:
\({ \tt{y = 5 \times 6}} \\ \\ { \tt{y = 30}}\)
Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phone company has reason to believe that the proportion is 30%. Before they start a big advertising campaign, they conduct a 99% CL hypothesis test. Their marketing people survey 150 households with the result that 43 of the households have three cell phones.
Required:
a. Is the actual percentage of households different from 30%?
b. Set up the hypothesis test.
c. What is the success for this problem?
d. Calculate the p-value.
e. Draw conclusion.
Answer:
We conclude that the actual percentage of households is equal to 30%.
Step-by-step explanation:
We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.
Their marketing people survey 150 households with the result that 43 of the households have three cell phones.
Let p = proportion of households that have three cell phones NOT known.
So, Null Hypothesis, \(H_0\) : p = 30% {means that the actual percentage of households is equal to 30%}
Alternate Hypothesis, \(H_A\) : p \(\neq\) 30% {means that the actual percentage of households different from 30%}
The test statistics that would be used here One-sample z-test for proportions;
T.S. = \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\) ~ N(0,1)
where, \(\hat p\) = sample proportion of households having three cell phones = \(\frac{43}{150}\) = 0.29
n = sample of households = 150
So, the test statistics = \(\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }\)
= -0.27
The value of z test statistic is -0.27.
Also, P-value of the test statistics is given by;
P-value = P(Z < -0.27) = 1 - P(Z \(\leq\) 0.27)
= 1 - 0.6064 = 0.3936
Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the actual percentage of households is equal to 30%.
ONLY ANWSER IF YOU KNOW OR I WILL REPORT!
Answer:-2.75
Step-by-step explanation:
4 1/4= 4.25 so
1.5- 4.25= -2.75
your welcome (please mark brainliest)
1
Calculate the height, A. and the width, B. of the spice
cabinet shown in the figure. Don't forget to include the
1
--inch thickness of the wood where needed. The symbol
hardwood for all framing parts.
" means inches,
This
3
The height, A, of the spice cabinet is inches
(Type an integer, proper fraction, or mixed number.)
on
Answer:
Height A = \(12\frac{3}{4}\) inches
Step-by-step explanation:
Height A = Sum of widths of all sections of the cabinet + thickness of the wood
Height A = \(1\frac{1}{4}+\frac{1}{4}+4\frac{1}{2}+\frac{1}{4}+4\frac{1}{2}+2\)
= \((1+4+4+2)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}+\frac{1}{4}+\frac{1}{2})\)
= \(11+(\frac{1+1+2+1+2}{4} )\)
= \(11+\frac{7}{4}\)
= \(11+1\frac{3}{4}\)
= \(11+1+\frac{3}{4}\)
= \(12\frac{3}{4}\) inches
what are the factor pairs of 34
Answer:
2 and 17
Step-by-step explanation:
2 x 17= 34
hope it helps
Gavin has 156 coins. Of the coins, 9/12 are nickels, 2/12 are dimes, and the rest are quarters. What is the ratio of Gavin’s nickels to dimes to quarters?
The ratio of Nickel coins: Dimes coins: Quater coins is, 9:2:1.
What do we mean by ratios?A ratio in mathematics shows how many times one number is contained in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.So, the ratio of Gavin’s nickels to dimes to quarters:
Total coins = 156Nickel coins: 156 × 9/12 = 117Dimes coins: 156 × 2/12 = 26Quarter coins = Total coins - Nickel coins - Dimes coins
Quater coins = 156 - 117 - 26Quarter coins = 13Then, the ratio of Nickel coins: Dimes coins: Quater coins is,
117:26:13 ⇒ 9:2:1
Therefore, the ratio of Nickel coins: Dimes coins: Quater coins is, 9:2:1.
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Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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Can anyone help me with this and explain?
The present population of a town is 2024800. It the rate of growth population is 5% per year per year. Find the Increased population in 2years.
Answer:
2232342Step-by-step explanation:
2024800 : 100 * 5 = 101240
2024800 + 101240 = 2126040
2126040 : 100 * 5 = 106302
2126040 + 106302 = 2232342
in the first year, it increases by 5% of the original number, making the population at the end of that year 2 126 040. Then, the second year, it will increase by 5% of 2 126 040. This means that the final product or population after 2 years would be 2232342.
What is 5x6 + (5x5-5) to the 2nd power
Answer: 2500
Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500
please look at the image this is a homework problem I would appreciate help with!
ANSWER:
\(\sin (t+2\pi)-\cos (t+4\pi)+\tan (t+\pi)=c\)STEP-BY-STEP EXPLANATION:
We have the following expression:
\(\sin (t+2\pi)-\cos (t+4\pi)+\tan (t+\pi)\)Now, we apply the angle sum identities in each case, just like this:
\(\begin{gathered} \sin (t+2\pi)=\sin t\cdot\sin 2\pi+\cos t\cdot\cos 2\pi \\ \cos (t+4\pi)=\cos t\cdot\cos 4\pi+\sin t\cdot\sin 4\pi \\ \tan (t+\pi)=\frac{\tan t+\tan\pi}{1+\tan t\cdot\tan\pi} \end{gathered}\)We replace by the equivalences of a, b and c, like this:
\(\begin{gathered} \sin t\cdot\sin 2\pi+\cos t\cdot\cos 2\pi=a\cdot0+b\cdot1=b \\ \cos t\cdot\cos 4\pi+\sin t\cdot\sin 4\pi=b\cdot1+a\cdot0=b \\ \frac{\tan t+\tan\pi}{1+\tan t\cdot\tan\pi}=\frac{c+0}{1+c\cdot0}=\frac{c}{1}=c \\ \\ \text{ Replacing:} \\ b-b+c=c \end{gathered}\)Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
Kevin's bank deducts a service fee from his account every month.
In one year, the bank deducts a total of $90 in fees. Twice each
month, Kevin's paycheck is directly deposited into his account.
The amount of each paycheck is $1,150. Which expression
represents the monthly change in Kevin's bank account?
The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
How to find the expressionIn one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:
Monthly service fee = $90 / 12 = $7.50
Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:
Monthly income = 2 * $1,150 = $2,300
Therefore, Kevin's monthly change in his bank account is:
Monthly change = Monthly income - Monthly service fee
Monthly change = $2,300 - $7.50 = $2,292.50
So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
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2(d+9)
I do not know this I need help
Answer:
Expanding the expression 2(d+9) gives:
2(d+9) = 2*d + 2*9
Simplifying the expression gives:
2(d+9) =2d + 18
Therefore, 2(d+9) is equivalent to 2d +18.
The simplified expression is:
↬ 2d + 18Work:
To simplify this expression, I distribute 2 through the parenthesis:
\(\sf{2(d+9)}\)
\(\sf{2\cdot d + 2 \cdot9}\)
\(\sf{2d+18}\)
Hence, the answer is 2d + 18.Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C
The measure of Angle C is approximately 26°.
A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.
The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.
Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.
In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).
Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),
we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)
Therefore, the measure of angle C is approximately 26°.
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Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
Solve for x: 5x + one third(3x + 6) > 14 x > twelve fifths x > 2 x < twelve fifths x < 2
The solution of x in the inequality is x > 2
How to solve for x in the inequality?The inequality is given as:
5x + one third(3x + 6) > 14
Rewrite properly as:
5x + 1/3(3x + 6) > 14
Open the brackets
5x + x + 2 > 14
Subtract 2 from both sides of the inequality
5x + x + 2 - 2> 14 - 2
Evaluate the difference
5x + x > 12
Evaluate the like terms
6x > 12
Divide both sides of the inequality by 2
x > 2
Hence, the solution of x in the inequality is x > 2
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Answer:
x > 2, like the other guy said
Step-by-step explanation:
I hope this helps
Find the solutions to x² = 28.
A. x=+7√2
OB. x=+2√/14
OC. x=+14√2
X
OD. x=+2√7
X
Answer:
x=+2√7
Step-by-step explanation:
Normal distribution has a mean of 98 and standard deviation of 6. What is P(x > 104)
The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.
What is Prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:
z = (x - μ) / σ
where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.
Plugging in the values, we get:
z = (104 - 98) / 6 = 1
Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.
Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.
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What is the slope of 2,000=20×+10y?
Answer:
there is no possible slope for this equation. if it asks for a number it is 0
Step-by-step explanation:
PLSS
HELP
WILL
GIVE
BRAINLIST
DUR RN
Answer:
Hello! answer: 29.5
Step-by-step explanation:
To find area for rectangles you just do base × height our base being 5.9 and our height being 5 now we just multiply these together so 5.9 × 5 = 29.5 so 29.5 is the area hope this helps!
consider the following statement. passing a comprehensive exam is a necessary condition for obtaining a master's degree. which of the following correctly expresses this statement in if-then form? (select all that apply.) if a person does not pass a comprehensive exam, then that person cannot obtain a master's degree. if a person obtained a master's degree, then that person passed a comprehensive exam. if a person does not pass a comprehensive exam, then that person can obtain a master's degree. if a person cannot obtain a master's degree, then that person passed a comprehensive exam. if a person passed a comprehensive exam, then that person obtained a master's degree.
The statements which correctly express the given statement in if-then form is “if a person does not pass a comprehensive exam, then that person cannot obtain a master's degree”, “if a person obtained a master's degree, then that person passed a comprehensive exam”, and “if a person passed a comprehensive exam, then that person obtained a master's degree.” (Option A, B, and E)
An if-then form of a statement, also called a conditional statement, refers to a statement in which a hypothesis is given followed by a conclusion. The statement read as “if p then q”.
The first part of the statement is the hypothesis or “if,” component of a conditional statement. The second part of the statement is the conclusion or “then,” component of a conditional statement.
Hence, the conclusion is the result of a hypothesis. The given statement is that passing a comprehensive exam is a necessary condition for obtaining a master's degree. Hence, passing a comprehensive exam and obtaining a master’s degree are connected to each other and either can be used as a hypothesis with the other as conclusion. Hence the statements which correctly express the given statement in if-then form are “if a person does not pass a comprehensive exam, then that person cannot obtain a master's degree”, “if a person obtained a master's degree, then that person passed a comprehensive exam”, and “if a person passed a comprehensive exam, then that person obtained a master's degree.”
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Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents johns age and j+3 represents Laura’s age, what value of j could be johns age
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
What is the result of 122÷8? Use the number line to find the answer
A: 7
B:14
C:16
D:28
Please help!
Answer: I would go towards B
Step-by-step explanation:
122/8 = 15.25
This is more towards 15, so put the dot in the middle of 14 and 16
Find the midpoint of the line segment connecting (1,1) and
(3,-3).
Answer:
2,-1
Step-by-step explanation:
graph, find length between points (sqrt 20) and slope (-2). sqrt20/2=sqrt5.
change in y/change in x = -2, change in y squared + change in x squared= 5. solve system of equations to get x=1, y=-2, or x=-1, y=2. i think i did something wrong but the answer should be correct
which of the following digits could replace the ⬜ in the tens place to make this statement true? 88,5⬜1 rounds to 88500 if we round to the nearest hundred?
choose 2 answers
A. 0
B. 4
C. 7
Answer:
A. 0
B. 4
Step-by-step explanation:
88,541 and 88501 both round to 88,500 when you round to the nearest hundred because they ( 0 and 4) are both less than 5.
88,571 rounds to 88600 when rounding to the nearest hundred because 7 is bigger than 5 and 571 is closer to 600 than to 500.
is x^2 + 1 a polynomial
Answer: Answer: x^2 - 1 is not a polynomial as after simplifying it there will be no variable.
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
I used the formula. it took a long but i got it! Brainly pls!
there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
help me please
Indicate the method you would use to prove the two triangles. If no method applies, enter "none".
AAS
SSS
NONE
SAS
ASA
Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.