Answer:
[tex] z = -1.23[/tex]
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
[tex] p_v = P(z<-1.23) = 0.1093[/tex]
And for this case using a significance level of [tex]\alpha=0.05 ,0.1[/tex] we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: [tex]p =0.02[/tex]
Alternative hypothesis: [tex] p < 0.02[/tex]
The statistic for this case is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
And for this case we know that the statistic is given by:
[tex] z = -1.23[/tex]
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
[tex] p_v = P(z<-1.23) = 0.1093[/tex]
And for this case using a significance level of [tex]\alpha=0.05 ,0.1[/tex] we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Complete the sentence.
Twenty-four is____
a0% of 80
HELP
Answer:
the answer is 30%
Step-by-step explanation:
24/80 = 0.3 or 30%
Find the mean, median, mode, variance and standard deviation of the following data set
(10,9,11,6,9)
Answer:
Mean: 9
Median: 9
Mode: 9
Variance: 9
Standard deviation: 9
Step-by-step explanation:
A baker has 88 muffins. He fills large boxes that hold 9 muffins each.Then, he puts the leftover muffins in a small box. How many muffins are in the small box.
Answer:
7
Step-by-step explanation:
What is the volume of a cube that has a side length of 5 centimeters?
31
5 cm
Recall the formula Cube V=s.
cm3
Answer: The volume of the cube is 25 cubic centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cube: side lenght^3
Replacing with the side length value and solving for V (volume)
V= 5^2 = 25 cm2
In conclusion, the volume of the cube is 25 cubic centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
125
Step-by-step explanation:
Look at Google:)❤
0.3 repeating as a fraction
Answer:
3/10 or three-tenths
Step-by-step explanation:
Hope this helps=D
Answer:
O.3 = 1/3
Step-by-step explanation:
divide 1÷3
you will get 0.3 to infinity
Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
i need help with this questions can someone please help me
Answer:
pupil question:
3 6 1
3 have brothers
6 have both
1 has sisters
Step-by-step explanation:
3+6+1+2=12
can someone help? 25 points
Answer:
8 hours
Step-by-step explanation:
HE has to pay $7 an hour.
8*7=56
He has a descount of $3, so
$56-$3=$53.
Which is the exat amount of money that Tony has.
Answer:
The answer is 46
Because he wants to spend less so you would do
7x7=49
He could only rent the boat for 7 hours because that would be less than 53$
Now you do 49-3=46
Because he had a discount
So the answer is 46
Step-by-step explanation:
Hope this helped!
what’s the solution
Answer:
We need more info
Step-by-step explanation:.
If point (3,-3 above is refected across the xaxis, what would be the cordinates of the reflection? Explain
what's 7×2/3×5(2×6)
Answer: your answer is 11.2 plz rate fairly im only 14
Step-by-step explanation:
7x2= 14 ÷15 = 0.93x12= 11.2
Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?
Answer:
To be done in time, he would need to solve 6 questions per day on the days that he is not on trip
Step-by-step explanation:
If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days
Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions
Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work
This makes a total of 1 question per day
Adding this to the 5 questions per day he has before will be = 6 questions per day
Answer:
6 problems
Step-by-step explanation:
a car travels 480 miles in 7 1/2 hours. if the driver continues to travel at the same average speed, how many miles will the car travel in 12 hours?
480 miles = 7 1/2 hours
y miles = 12 hours
(cross multiply)
answer: 1645.7 miles
Could you help me with this problem plz!!!
(2x+3)(4x-1)<8x^(2)+1
Answer: [tex]x<\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](2x+3)(4x-1)<8x^2+1[/tex]
Begin by multiplying parentheses.
[tex](2x*4x)+(2x*-1)+(3*4x)+(3*-1)<8x^2+1[/tex]
[tex](8x^2)+(-2x)+(12x)+(-3)<8x^2+1[/tex]
[tex]8x^2-2x+12x-3<8x^2+1[/tex]
Subtract [tex]8x^2[/tex]
[tex]8x^2-2x+12x-3+(-8x^2)<8x^2+1+ (-8x^2)[/tex]
[tex]-2x+12x-3<1[/tex]
Add 3
[tex]-2x+12x-3+3<1+3[/tex]
[tex]-2x+12x<4[/tex]
Combine like terms;
[tex]10x<4[/tex]
Divide by 10
[tex]x<\frac{4}{10}[/tex]
Simplify;
[tex]x<\frac{2}{5}[/tex]
The time, t, in hours, it takes to do a certain task varies according to the number of workers, w, who work on the task. If it takes 4.25 hours for 28 workers to paint the inside of a building, how many hours would it take 7 workers to complete the same task?
A.
29.75
B.
17.00
C.
12.75
D.
46.12
Answer:
B is the answer your looking for
Step-by-step explanation:
What is my favorite subject?
If you get this correct then I'll mark you brainliest
If you're wrong then I'll cancel your answer or you can edit it.
Answer:
I believe your favorite subject maybe Science and World geography
Step-by-step explanation:
I am not sure : )
Pls help w 13 I rlly need help rn
Answer:
the last one
Step-by-step explanation:
because it's true
how to get the answer ?
Answer:
x=-3
Step-by-step explanation:
This is a vertical line, vertical lines have a slope of undefined
They are of the form
x = something
In this case x= -3
Solve 22.5 + x = -47.37.
Answer:
x = -69.87
Step-by-step explanation:
22.5 + x = -47.37
Subtract the 22.5 on both sides:
x = - 69.87
Answer:
(225/10)+x=-(4737/100)
One solution was found :
x = -6987/100 = -69.870
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "47.37" was replaced by "(4737/100)". 2 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(225/10)+x-(-(4737/100))=0
Step by step solution :
Step 1 :
4737
Simplify ————
100
Equation at the end of step 1 :
225 4737
(——— + x) - (0 - ————) = 0
10 100
Step 2 :
45
Simplify ——
2
Equation at the end of step 2 :
45 -4737
(—— + x) - ————— = 0
2 100
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
x x • 2
x = — = —————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
45 + x • 2 2x + 45
—————————— = ———————
2 2
Equation at the end of step 3 :
(2x + 45) -4737
————————— - ————— = 0
2 100
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 100
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 2 2
5 0 2 2
Product of all
Prime Factors 2 100 100
Least Common Multiple:
100
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 50
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (2x+45) • 50
—————————————————— = ————————————
L.C.M 100
R. Mult. • R. Num. -4737
—————————————————— = —————
L.C.M 100
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
(2x+45) • 50 - (-4737) 100x + 6987
—————————————————————— = ———————————
100 100
Equation at the end of step 4 :
100x + 6987
——————————— = 0
100
Step 5 :
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
100x+6987
————————— • 100 = 0 • 100
100
Now, on the left hand side, the 100 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
100x+6987 = 0
Solving a Single Variable Equation :
5.2 Solve : 100x+6987 = 0
Subtract 6987 from both sides of the equation :
100x = -6987
Divide both sides of the equation by 100:
x = -6987/100 = -69.870
One solution was found :
x = -6987/100 = -69.870
Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.
Answer:
4/32
Step-by-step explanation:
3/4*1/2=3/8
3/8*1/4=4/32
Answer:
3/32 inch^3
Step-by-step explanation:
A dilation with a scale factor of 1/3 is a reduction.
True or false
Thank you if you can help!
Noah has 200 bottle caps that he has been collecting for 1 year.How much bottle caps does he collect everyday???
Answer:
165
Step-by-step explanation:
Answer:
1.825
Step-by-step explanation:
so 200 a year and there is 365 days in a year 365/200=1.825
Factor X^2 + 14x + 49 =
Answer:
Step-by-step explanation:
X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2
Answer:
The simplest form should be (x + 7)^2 (squared)
Step-by-step explanation:
This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)
There are a total of 193 member states (countries) in the united nations as of 2014.The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?
Answer:
Africa = 54 countries
Asia = 53 countries
Eastern Europe = 23 countries
Western Europe = 29 countries
Latin America = 33 countries
Step-by-step explanation:
193 member states - Kiribati = 192 countries
Asia = Africa - 1
Eastern Europe = 0.5Africa - 4
Western Europe = 0.5Africa + 2
Latin America = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Latin America = 54 - 21 = 33
Africa is = 54 countries
Asia is = 53 countries
Eastern Europe is = 23 countries
Then, Western Europe is = 29 countries
After that, Latin America = 33 countries
What is Logical Data Grouping?Then, 193 member states - Kiribati = 192 countries
After that, Asia = Africa - 1
Now, Eastern Europe = 0.5Africa - 4
Western Europe is = 0.5Africa + 2
Latin America is = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Therefore, Latin America = 54 - 21 = 33
Find more information Logical Data Grouping here:
https://brainly.com/question/22607492
Suppose 30% of a population possess a given characteristic. If a random sample of size 1200 is drawn from the population, then the probability that less than 348 possess that characteristic is
Answer:
The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this question, we have that:
[tex]n = 1200, p = 0.3[/tex]
So
[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]
The probability that less than 348 possess that characteristic is
Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]
[tex]Z = -0.79[/tex]
[tex]Z = -0.79[/tex] has a pvalue of 0.2148.
The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.
The population follows a normal distribution.
The probability that less than 348 possess that characteristic is 0.2248
The given parameters are:
[tex]\mathbf{n = 1200}[/tex]
[tex]\mathbf{p = 30\%}[/tex]
Start by calculating the mean:
[tex]\mathbf{\mu =np}[/tex]
[tex]\mathbf{\mu =1200 \times 30\%}[/tex]
[tex]\mathbf{\mu =360}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{252}}[/tex]
[tex]\mathbf{\sigma = 15.87}[/tex]
Calculate the z-score
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
Where:
x = 348
So, we have:
[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]
[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]
[tex]\mathbf{z = -0.7561}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]
From the z-table of probabilities, we have:
[tex]\mathbf{P(x < 348) = 0.2248}[/tex]
Hence, the probability that less than 348 possess that characteristic is 0.2248
Read more about probabilities at:
https://brainly.com/question/11234923
The height of a trapezoid is 16in. The bases are 32in and 24in. What is the area of the trapezoid.
Answer:
448in^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(32+24)/2*16=28*16=448 in^2
Amar rakes leaves for his neighbors to earn money. He earned 64 dollars after
8 hours of work.
• How much does Amar make per hour raking leaves?
Answer:
amar makes 8 dollars per hour
Step-by-step explanation:
to find the number of hours of work amar does you have to divide the total amount earned by the number of hours worked
64/8 = 8
every hour amar makes 8 dollars, $8 x 8 hours = $64
HURRY!!!!! I NEED HELP!!!!!
Find Arc MN
A. 20
b.60
c.66
d.120
We have been given a circle. We are asked to find the measure of arc MN.
We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:
[tex]\widehat{MN}+\widehat{NO}+\widehat{OL}+\widehat{LM}=360^{\circ}[/tex]
Upon substituting our given values, we will get:
[tex]\widehat{MN}+110^{\circ}+130^{\circ}+54^{\circ}=360^{\circ}[/tex]
[tex]\widehat{MN}+294^{\circ}=360^{\circ}[/tex]
[tex]\widehat{MN}+294^{\circ}-294^{\circ}=360^{\circ}-294^{\circ}[/tex]
[tex]\widehat{MN}=66^{\circ}[/tex]
Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.
