Answer:
5 levels
Step-by-step explanation:
To know the rate of her beating levels yesterday, divide the # of minutes she played (27 minutes) to the # of levels she beat (3 levels).
27 ÷ 3 = 9So she played for 9 minutes to beat a single level.
Since she will try to beat levels the same rate as yesterday, you will have to divide the #of minutes her parents let her play (45 minutes) to yesterday's rate (9 minutes per level).
45 ÷ 9 = 5Britney should beat 5 levels today if she wants to beat levels at the same rate as yesterday's.
The sum of a number and twice the number is 24 what is the number?
Answer:
x = 8
Step-by-step explanation:
Step 1: Write out the expression
x + 2x = 24
Step 2: Combine like terms
3x = 24
Step 3: Isolate x
x = 8
And we have our final answer!
Answer:
X=8
Step-by-step explanation:
LU 1
- 2x + 3 < 5 and - 4x – 3 > 9
Answer: x>-1
x<-3
Step-by-step explanation:
[tex]-2x+3<5[/tex]
subtract 3 on both sides
[tex]-2x<2[/tex]
divide -2 on both sides
[tex]x>-1[/tex]
The sign changed because I divided by a negative.
[tex]-4x-3>9[/tex]
add 3 on both sides
[tex]-4x>12[/tex]
multiply -1 on both sides
[tex]4x<-12[/tex]
divide 4 on both sides
[tex]x<-3[/tex]
Brainlist please
Answer:
x > -1
x < -3
Step-by-step explanation:
-2x + 3 < 5
Subtract 3 on both sides.
-2x < 5 - 3
-2x < 2
Divide -2 into both sides.
x < 2/-2
x > -1
-4x - 3 > 9
Add 3 on both sides.
-4x > 9+3
-4x > 12
Divide -4 into both sides.
x > 12/-4
x < -3
show in form of p by q 0.235
Answer:
p = 235, q = 1000
Step-by-step explanation:
[tex] \frac{p}{q} = \frac{235}{1000} \\ [/tex]
A box contains 11 red chips and 4 blue chips. We perform the following two-step experiment: (1) First, a chip is selected at random from the box and is then removed from the box. (After this first step, there are 14 chips left in the box. ) (2) Then, a chip is selected at random from the box (that is, from the remaining 14 chips) . Let B 1 be the event that the chip removed from the box at the first step of the experi- ment is red. Let B 2 be the event that the chip removed from the box at the first step of the experiment is blue. Let A be the event that the chip selected from the box at the second step of the experiment is red.Find P(B1), P(B2), P(A), P(B1|A), and P(B2|A).
Answer:
P(B1) = (11/15)
P(B2) = (4/15)
P(A) = (11/15)
P(B1|A) = (5/7)
P(B2|A) = (2/7)
Step-by-step explanation:
There are 11 red chips and 4 blue chips in a box. Two chips are selected one after the other at random and without replacement from the box.
B1 is the event that the chip removed from the box at the first step of the experiment is red.
B2 is the event that the chip removed from the box at the first step of the experiment is blue. A is the event that the chip selected from the box at the second step of the experiment is red.
Note that the probability of an event is the number of elements in that event divided by the Total number of elements in the sample space.
P(E) = n(E) ÷ n(S)
P(B1) = probability that the first chip selected is a red chip = (11/15)
P(B2) = probability that the first chip selected is a blue chip = (4/15)
P(A) = probability that the second chip selected is a red chip
P(A) = P(B1 n A) + P(B2 n A) (Since events B1 and B2 are mutually exclusive)
P(B1 n A) = (11/15) × (10/14) = (11/21)
P(B2 n A) = (4/15) × (11/14) = (22/105)
P(A) = (11/21) + (22/105) = (77/105) = (11/15)
P(B1|A) = probability that the first chip selected is a red chip given that the second chip selected is a red chip
The conditional probability, P(X|Y) is given mathematically as
P(X|Y) = P(X n Y) ÷ P(Y)
So, P(B1|A) = P(B1 n A) ÷ P(A)
P(B1 n A) = (11/15) × (10/14) = (11/21)
P(A) = (11/15)
P(B1|A) = (11/21) ÷ (11/15) = (15/21) = (5/7)
P(B2|A) = probability that the first chip selected is a blue chip given that the second chip selected is a red chip
P(B2|A) = P(B2 n A) ÷ P(A)
P(B2 n A) = (4/15) × (11/14) = (22/105)
P(A) = (11/15)
P(B2|A) = (22/105) ÷ (11/15) = (2/7)
Hope this Helps!!!
A newsletter publisher believes that less than 29% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.
Answer:
For this case they want to proof if the proportion of readers own a Rolls royce is less than 0.29 and that wuld be the alternative hypothesis. The complement would represent the null hypothesis. Then the system of hypothesis for this case are:
Null hypothesis: [tex] p \geq 0.29[/tex]
Alternative hypothesis: [tex]p< 0.29[/tex]
Step-by-step explanation:
For this case they want to proof if the proportion of readers own a Rolls royce is less than 0.29 and that wuld be the alternative hypothesis. The complement would represent the null hypothesis. Then the system of hypothesis for this case are:
Null hypothesis: [tex] p \geq 0.29[/tex]
Alternative hypothesis: [tex]p< 0.29[/tex]
A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 340 found that 60% of the readers owned a laptop. State the null and alternative hypotheses. Answer
Answer:
[tex]z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933[/tex]
The p value for this case can be calculated with this probability:
[tex]p_v =2*P(z<-1.933)=0.0532[/tex]
For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change
Step-by-step explanation:
Information given
n=340 represent the random sample taken
[tex]\hat p=0.60[/tex] estimated proportion of readers owned a laptop
[tex]p_o=0.65[/tex] is the value that we want to test
z would represent the statistic
[tex]p_v{/tex} represent the p value
Hypothesis to test
We want to check if the true proportion of readers owned a laptop if different from 0.65
Null hypothesis:[tex]p=0.65[/tex]
Alternative hypothesis:[tex]p \neq 0.65[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933[/tex]
The p value for this case can be calculated with this probability:
[tex]p_v =2*P(z<-1.933)=0.0532[/tex]
For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change
There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 2 numbers? PLS HELP I'M REALLY STUCK AND DON'T JUST STEAL THE POINTS PLEASE
Answer:
90
Step-by-step explanation:
it is 90 because in the first slot there can be any 10 numbers and in the second slot the set can contain any of the remaining 9 numbers and then we can multiply these two numbers together to find the total amount of sets.
hope this helps :)
Answer:
45 different sets
Step-by-step explanation:
There are 10 numbers in {0,1,2,3,4,5,6,7,8,9}.
We are looking for a combination since order doesn't mater
There are 10 options for the first number
We have chosen 1
Now there are 9 numbers
10*9
But since order doesn't matter, we divide by 2
The set {1,2} is the same as the set {2,1}
90/2 = 45
If Jack borrowed $200 and repaid $226 altogether at the end of 2 years, what was the interest rate? Hint: Find the amount of interest from the repaid amount.
Answer: 6.5%
Step-by-step explanation:
Interest = Amount repaid - Amount borrowed
= 226 - 200
Interest = 26
Si = ( prt) / 100
26 = (200 x r x 2) / 100
26 = 4r
r = 6.5%
The percentage of households that include at least one frequent gamer is 58%. A gaming magazine is interested in studying this further to see how it impacts their magazine advertisements. For what sample size, n, will the sampling distribution of sample proportions have a standard deviation of 0.02
Answer:
For a sample size of n = 609.
Step-by-step explanation:
Central limit theorem for proportions:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
We have that p = 0.58.
We have to find n for which s = 0.02. So
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]0.02 = \sqrt{\frac{0.58*0.42}{n}}[/tex]
[tex]0.02\sqrt{n} = \sqrt{0.58*0.42}[/tex]
[tex]\sqrt{n} = \frac{\sqrt{0.58*0.42}}{0.02}[/tex]
[tex](\sqrt{n})^{2} = (\frac{\sqrt{0.58*0.42}}{0.02})^{2}[/tex]
[tex]n = 609[/tex]
For a sample size of n = 609.
what is the length of the line?
Answer:
root 61
Step-by-step explanation:
You can use the distance formula or draw a triangle with sides 5 and 6
Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer:
a). 8(x + a)
b). 8(h + 2x)
Step-by-step explanation:
a). Given function is, f(x) = 8x²
For x = a,
f(a) = 8a²
Now substitute these values in the expression,
[tex]\frac{f(x)-f(a)}{x-a}[/tex] = [tex]\frac{8x^2-8a^2}{x-a}[/tex]
= [tex]\frac{8(x^2-a^2)}{(x-a)}[/tex]
= [tex]\frac{8(x-a)(x+a)}{(x-a)}[/tex]
= 8(x + a)
b). [tex]\frac{f(x+h)-f(x)}{h}[/tex] = [tex]\frac{8(x+h)^2-8x^2}{h}[/tex]
= [tex]\frac{8(x^2+h^2+2xh)-8x^2}{h}[/tex]
= [tex]\frac{8x^2+8h^2+16xh-8x^2}{h}[/tex]
= (8h + 16x)
= 8(h + 2x)
Any help would be great
Answer:
-8 * 5 = -40
a⁵ * a = a⁶
b⁶ * b³ = b⁹
Answer is -40a⁶b⁹
from what area of the world is the earliest dated inscription with a symbol for zero?
Answer:
india
Step-by-step explanation:
Which of the items below is not an example of a fixed cost?
O A. Monthly rent
O B. Cable bill
C. Annual property tax
O D. Cost of materials
Answer:
D. cost of materials.
Step-by-step explanation:
All of the others stay the same price
Cost of materials is not an example of a fixed cost.
What is Fixed Cost?Fixed costs are costs that are not affected by volume. Fixed costs are costs that are based on time rather than the amount produced or sold by your company. Rent and leasing charges, salary, utility bills, insurance, and loan repayments are all examples of fixed costs.
Furthermore, fixed costs are those that are fixed for the duration of the manufacturing period. Salaries given to employees, on the other hand, can vary when the number of employees increases or decreases.
Here, Cost of materials is not an example of a fixed cost.
and, Monthly Rent, Cable bill and Annual property price will stay same.
Learn more about Fixed cost here:
https://brainly.com/question/30011394
#SPJ7
11) At a certain company, an HR benefits meeting and shareholders meeting happen at the same time, so it is impossible for an employee to be at both. If the probability that an employee goes to the HR benefits meeting is 0.33, and the probability that an employee goes to the shareholders meeting is 0.66, what is the probability that an employee
Answer:
0.99
Step-by-step explanation:
The computation of the probability for employee goes for shareholder meeting or HR benefits meeting is
= Probability of HR benefits meeting + Probability of shareholder meeting
= 0.33 + 0.66
= 0.99
We simply added the both meeting probability i.e HR benefits and shareholder meeting so that the given probability could come
Frederick took out a 20-year loan for $70,000 at an APR of 2.2%, compounded monthly. Approximately how much would he save if he paid it off 9 years early?
Answer:
$38,645.7208
Step-by-step explanation:
Given that
Principal = $70,000
Time = 20 years
Rate = 2.2%
The calculation of the amount of saving is shown below:-
[tex]=P(1+r)^t[/tex]
A = Future amount
P = Principal amount
[tex]r = \frac{APR}{12}[/tex]
[tex]r = \frac{0.022}{12}[/tex]
0.001833333
t = 20 years which is equals to 240 months
[tex]A=\$70,000\times (1+0.001833333)^{240}[/tex]
[tex]A=\$70,000\times 1.552081726[/tex]
= $108,645.7208
And, the loan amount for 20 years is $70,000
So,
He would save by paying off 9 years early is
= $108,645.7208 - $70,000
= $38,645.7208
Its $3644.67 since everyone couldn't find it solved it myself ;)
A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 10.2 reproductions and the population standard deviation is known to be 2.4. If a sample of 907 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place
Answer:
The 85% confidence interval for the true mean number of reproductions per hour for the virus is between 10.1 and 10.3.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.075= 0.925[/tex], so [tex]z = 1.44[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.44*\frac{2.4}{\sqrt{907}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 10.2 - 0.1 = 10.1 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 10.2 + 0.1 = 10.3 reproductions per hour.
The 85% confidence interval for the true mean number of reproductions per hour for the virus is between 10.1 and 10.3.
Please help me with this math problem
Answer:
-1/4 is the slope and the y intercept is -4
Step-by-step explanation:
Solve for y
x +4y = -16
Subtract x
4y = -x-16
Divide by 4
4y/4 = -x/4 -16/4
y = -1/4 x -4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-1/4 is the slope and the y intercept is -4
Terry has a number cube that is numbered from 1 to 6. She rolls the cube 50 times. Which equation can be used to predict the number of times that she will roll a number that is greater than 4? P (number greater than 4) = StartFraction 1 over 6 EndFraction (50) P (number greater than 4) = StartFraction 2 over 6 EndFraction (50) P (number greater than 4) = StartFraction 3 over 6 EndFraction (50) P (number greater than 4) = StartFraction 4 over 6 EndFraction (50)
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Can someone please help me??
Answer : The value of x is 4.1 cm.
Step-by-step explanation :
As we know that the perpendicular dropped from the center divides the chord into two equal parts.
That means,
AB = CB = [tex]\frac{15.6cm}{2}=7.8cm[/tex]
Now we have o calculate the value of x by using Pythagoras theorem.
Using Pythagoras theorem in ΔOBA :
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
[tex](OA)^2=(OB)^2+(BA)^2[/tex]
Now put all the values in the above expression, we get the value of side OB.
[tex](8.8)^2=(x)^2+(7.8)^2[/tex]
[tex]x=\sqrt{(8.8)^2-(7.8)^2}[/tex]
[tex]x=\sqrt{77.44-60.84}[/tex]
[tex]x=\sqrt{16.6}[/tex]
[tex]x=4.074\approx 4.1[/tex]
Therefore, the value of x is 4.1 cm.
The correlation coefficient is used to determine: a. a specific value of the y-variable given a specific value of the x-variable c. a specific value of the x-variable given a specific value of the y-variable c. the strength of the relationship between the x and y variables d. none of these
Answer:
c. the strength of the relationship between the x and y variables
Step-by-step explanation:
The correlation coefficient refers to the relationship between the two variables
Moreover, it has two mainly correlations i.e
Perfect positive correlation: In this, the correlation coefficient is 1
And, the other is negative correlation: In this, the co
if the correlation coefficient is 1 we have a perfect positive correlation and if the correlation coefficient is -1 than it would be a negative correlation
It lies value between the -1 and 1
hence, the correct option is c.
The option that correctly describes what the correlation determines is:
C "the strength of the relationship between the x and y variables"
What is the correlation coefficient?
When we have a measure of two variables that can be modeled with a line, we say that there is a correlation between these two variables.
A positive correlation means that when one variable increases, the other also increases, while a negative correlation means that when one decreases, the other increases.
Now, the value itself of the correlation tells us how much our measure "adjusts" to a line. If the correlation is equal to 1 or -1, then the two variables are linear.
If the correlation is smaller than 1 or larger than -1, then the variables behave kinda linearly, but not exactly.
So what the correlation determines is the relationship between the x and y variables, from that we conclude that the correct option is C: "The strength of the relationship between the x and y variables"
If you want to learn more about correlation, you can read:
https://brainly.com/question/14289293
Before a researcher specified the relationship among variables he must have a (an): A: Inventory of variables B: Inventory of propositions C: Arrangement of propositions D: Schematic diagram
Answer:
Option B
Step-by-step explanation:
Before a researcher specifies the relationship among variables he must have an inventory of propositions/constructs which are mostly stated in a declarative form. These are then tested by examining the relationships between measurable variables of this constructs/propositions.
A 2011 survey, by the Bureau of Labor Statistics, reported that 91% of Americans have paid leave. In January 2012, a random survey of 1000 workers showed that 89% had paid leave. The resulting p-value is .0271; thus, the null hypothesis is rejected. It is concluded that there has been a decrease in the proportion of people, who have paid leave from 2011 to January 2012. What type of error is possible in this situation?
Answer:
Is possible to make a Type I error, where we reject a true null hypothesis.
Step-by-step explanation:
We have a hypothesis test of a proportion. The claim is that the proportion of paid leave has significantly decrease from 2011 to january 2012. The P-value for this test is 0.0271 and the nunll hypothesis is rejected.
As the conclusion is to reject the null hypothesis, the only error that we may have comitted is rejecting a true null hypothesis.
The null hypothesis would have stated that there is no significant decrease in the proportion of paid leave.
This is a Type I error, where we reject a true null hypothesis.
It is known that 4% of children carry a certain virus, but a leading health researcher suspects that the percentage is actually higher. Which of the following provides the most convincing evidence to support the researcher's suspicion?
A. Out of 5,000 randomly chosen children, 210 children carry the virus.
B. Out of 60 randomly chosen children, 3 children carry the virus.
C. Out of 5,000 randomly chosen children, 250 children carry the virus.
D. Out of 20 randomly chosen children, 1 child carries the virus.
Answer:
(C)Out of 5,000 randomly chosen children, 250 children carry the virus.
Step-by-step explanation:
[tex]\text{Option A}: \dfrac{210}{5000}=0.042=4.2\% \\\text{Option B}: \dfrac{3}{60}=0.05=5\% \\\text{Option C}: \dfrac{250}{5000}=0.05=5\% \\\text{Option D}: \dfrac{1}{20}=0.05=5\%[/tex]
The higher the research sample, the more credible the results. In options A and C, the research sample was 5000. However, since the relative frequency of children carrying the virus is 5% in both, we take the result with a higher number of positives.
Option C is the correct option.
Does the graph represent a function. Explain
Answer:
Yes
Step-by-step explanation:
functions include parabolas so yes!
segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?
1/2
2
3
4
Answer:
the answer is 3
Step-by-step explanation:
i took the test
Please answer this correctly
Answer:
50%
Step-by-step explanation:
The chances of getting either heads or tails on a coin is 50/50. Convert that to probability and that is 1/2. Convert it to percentage of 100 and it is 50%.
Only time a coin isn't 50/50 is if the coin itself is a weighted coin.
Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year. If you had purchased a house in Midvale, UT for $ 172000 in 2004 in what year would the home be worth $ 249000 ?
Answer:
The home would be worth $249000 during the year of 2012.
Step-by-step explanation:
The price of the home in t years after 2004 can be modeled by the following equation:
[tex]P(t) = P(0)(1+r)^{t}[/tex]
In which P(0) is the price of the house in 2004 and r is the growth rate.
Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year.
This means that [tex]r = 0.047[/tex]
$172000 in 2004
This means that [tex]P(0) = 172000[/tex]
What year would the home be worth $ 249000 ?
t years after 2004.
t is found when P(t) = 249000. So
[tex]P(t) = P(0)(1+r)^{t}[/tex]
[tex]249000 = 172000(1.047)^{t}[/tex]
[tex](1.047)^{t} = \frac{249000}{172000}[/tex]
[tex]\log{(1.047)^{t}} = \log{\frac{249000}{172000}}[/tex]
[tex]t\log(1.047) = \log{\frac{249000}{172000}}[/tex]
[tex]t = \frac{\log{\frac{249000}{172000}}}{\log(1.047)}[/tex]
[tex]t = 8.05[/tex]
2004 + 8.05 = 2012
The home would be worth $249000 during the year of 2012.
24 1/2 is equal to what decimal
Answer:
24.5
Step-by-step explanation:
24 = 24
1/2 -->
convert to a decimal => 1 divided by 2
0.5
24+0.5 = 24.5
Hope this helps!
You invested $500 in a savings account at the end of the 6th grade. The account pays 4% annual
interest.
Using A(t) = a(1+r)t write a function.
How much money will there be in your account at your high school graduation? Round the answer to 2
decimal places.
Answer:
$632.66 is the amount of money in the savings account after graduation
Step-by-step explanation:
There are 12 grades in high school. So the number of years before graduation here is 6 years.
Now to know the amount of money, the equation to use is;
A(t) = a(1+r)^t
Here;
A(t) = ?
a = 500
r = 4% = 4/100 = 0.04
t = 6 years
Substituting these values into the equation, we have;
A(t) = 500(1 + 0.04)^6
A(t) = 500(1.04)^6
A(t) = $632.66