Answer:
Step-by-step explanation:
The population average number of raisins per box is 30.
The type of statistical analysis to be run here is the inferential statistical analysis and its assumptions include normality, linearity and equality of variance.
Null hypothesis: Average number of raisins per box is 30: u = 30
Alternative hypothesis: Average number of raisins per box is not 30: u ≠ 30
To perform a two tailed single sample test, we have
z statistic = (the sample mean - hypothesized mean) / (SD/√n)
sample mean = 28.05, SD = 3.87 hypothesized mean = 30 n = 36
Thus, we have 28.05 - 30 / (3.87/√36)
= -1.95 / (3.87/6)
= -1.95 / 0.645
= -3.023
we say this is a left tailed test and use the negative z table
where -3.02 = 0.0013
To determine whether the average number of raisins per box differs from the expected 30.
Using p < 0.05, since the observed value 0.0013 is less than 0.05, we conclude the the average number of raisins per box differs from the expected 30.
Help me please and thank you
Answer:
increasing
Step-by-step explanation:
y = 1/2x +2
This function is increasing because the slope is positive.
plz help me this is hard for me
Answer:
it is so simple lol
Step-by-step explanation:
just know that that angle is 90 degrees which means that you should do 90-41
Answer:
49
Step-by-step explanation:
90*-41*=49
use elimination to solve 2x+y=17,y=4x+10
Answer:
gay
Step-by-step explanation:
hha
Gavin, Colin and Dan share some sweets in the ratio 7:3:2. Gavin gets 75 more sweets than Dan. How many sweets does Colin get?
Answer:
45 sweets.
Step-by-step explanation:
Gavin gets 7(7+3+2) = 7/12 of the sweets.
Dan gets 2 /12 so Gavin gets 7/2 times as much as Dan
Let Dan get x sweets then
x + 75 = 7x /2
7x/2 - x = 75
5x/2 = 75
x = 75 * 2/5 = 30 sweets.
So Dan gets 30 sweets , Gavin gets 105 sweets and Colin gets 3/2 * 30
= 45 sweets.
100 POINTS PLEASE ANSWER IM BEGGING YOU!!!!!!
Answer:
[tex]4 \sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{80}[/tex]
80 can be written as a product of 16 and 5.
[tex]\sqrt{16 \times 5}[/tex]
Distribute the square root to both terms.
[tex]\sqrt{16} \times \sqrt{5}[/tex]
16 is a perfect square 4×4.
[tex]4 \times \sqrt{5}[/tex]
Answer:
4 * sqrt(5)
Step-by-step explanation:
sqrt(80)
sqrt(16*5)
We know that sqrt (ab) = sqrt(a) sqrt(b)
sqrt(16) sqrt(5)
4 * sqrt(5)
Решить систему методом сложения:{4x-6y=2
2x-y=5
Answer:
[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]
Step-by-step explanation:
The addition method (elimination method) allows us to combine two equations in such a way that the resulting equation has only one variable. Then we can use simple algebraic methods to solve that variable
Let:
[tex]4x-6y=2\hspace{10}(1)\\\\and\\\\2x-y=5\hspace{15}(2)[/tex]
Let's multiply (2) by -2:
[tex]-2*(2):\\\\2x(-2)-y(-2)=5(-2)\\\\-4x+2y=-10\hspace{12}(-2*(2))[/tex]
Now, add (1) and (-2*(2)):
[tex](1)+(-2*(2)):\\\\4x+(-4x)-6y+(2y)=2+(-10)\\\\-4y=-8[/tex]
Hence, solving for y:
[tex]y=\frac{-8}{-4} =2[/tex]
Replacing y into (2):
[tex]2x-(2)=5[/tex]
Solving for x:
[tex]2x=5+2\\\\2x=7\\\\x=\frac{7}{2} =3.5[/tex]
Therefore:
[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]
When the volume of a gas is
changed from mL to 852 mL,
the temperature will change from
315°C to 452°C.
Answer: The initial volume is 593.76mL
Step-by-step explanation:
As you do not say anithing about the pressure, i guess that the pressure remains constant.
If the gas is an ideal gas, we have:
P*V = n*R*T
where P is pressure, n is number of moles and R is a constant.
Now, initially we have:
P*Vi = n*R*315°C
finally we have:
P*825mL = n*R*452°C
Now we can take the quiotient of those two equations and get:
(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)
Now we have:
Vi/852mL = 315/452
Vi = (315/452)*852mL = 593.76mL
So when we expand the gas at constant pressure, we increase the temperature.
Answer:
691 mL
Step-by-step explanation:
Find the number of unique permutations of the letters in the word: EXTENT
720
180
900
36
Answer:
180
Step-by-step explanation:
A word has n letters.
There are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] times
So the number of distincts ways the letters can be permutated is:
[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]
In this question:
Extent has 6 letters.
E and r repeat 2 times. So
[tex]N = \frac{6!}{2!*2!} = 180[/tex]
So the answer is 180.
Please help it will be fast and easy
Answer:
B
Step-by-step explanation:
36 candy
6 different types
if I pick random I'll get 1 of 6
.................................
To the nearest tenth, find the area of a circle with d = 15km. Use 3.14 for . Remember: you must find the radius before you use the formula
Answer:
radius r = 7.5 km
diameter d = 15 km
circumference C = 47.1238898 km
area A = 176.714587 km2
Step-by-step explanation:
math
Is a toy collector’s reasoning behind buying toys more similar or different than the average person who buys toys?
plez explain
Answer:
Probably different. The average customer will want to buy toys to play with, to have fun with, unlike a collecters motif which is to display their items.
What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)
Answer:
69.08
Step-by-step explanation:
π×d
3.14×22=69.08
Find the slope-intercept form of the equation of the line
passes through the point (-5, -4) and has slope 4.
Answer:
y= 4x +16
Step-by-step explanation:
slope-intercept form:
y=mx+c, where m is the gradient and c is the y-intercept
Given that the slope is 4, m=4.
y= 4x+c
To find the value of c, substitute a coordinate.
When x= -5, y= -4,
-4= 4(-5) +c
-4= -20 +c
c= 20 -4
c=16
Thus, the equation of the line is y= 4x+16.
If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the value of n for which xn + xn+1 = 89 ?
Answer:
11
Step-by-step explanation:
Looking at Fibonacci numbers ;
We have:
Than X1 =1 ; X2 = 1; X3 = 2
Xn+1 = Xn + Xn-1
X3 = X2 + X1 = 1+1 =2; X4 = X3 + X2 = 2 +1 = 3; X5= X4+X3 = 3+2 = 5; X6 = X5 + X4 = 5 + 3 = 8; X7 = X6 +X5 = 8 +5 = 13; X8 = X7 + X6 = 13 + 8 = 21; X9 = X8 + X7 = 21+ 13 = 34 ; X10 = X9 + X8 = 34 +21 = 55 ; X11 = X10 + X9 = 55 +34 = 89
We see that ; X11 gives 89 so the value of n = 11
What is the end behavior of the graph of the polynomial function f(x)=3x^6+30x^5+75x^4
Answer:
Step-by-step explanation:
plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.
Answer:
x=9
Step-by-step explanation:
first you would distribute the -4 and the -12
-24x-12=-12x-120
Then you would add 120 to both sides
-24x+108=-12x
Then add 24x to both sides
108=12x
Then divide both sides by 12
x=9
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex] - 4(6x + 3) = - 12(x + 10) \\ - 24x - 12 = - 12x - 120 \\ - 24x + 12x = 12 - 120 \\ - 12x = - 108 \\ \frac{ - 12x}{ - 12} = \frac{ - 108}{ - 12} \\ x = 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A builder buys a piece of property with 16.1 acres of land to develop a new set of walking trails and baseball fields. The builder plans to use 0.33 of the property for baseball fields. How many acres will the builder use for the baseball fields?
Answer:
The builder will use 5.28 acres of land for baseball fields.
Step-by-step explanation:
This question can be solved using a rule of three.
The property has 16.1 acres of land. This is 100% = 1. 33% will be used for baseball fields. How much is 0.33?
16.1 - 1
x - 0.33
[tex]x = 16*0.33 = 5.28[/tex]
The builder will use 5.28 acres of land for baseball fields.
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of Mike's car at the start of 2017 is £4116.
What is percentage ?
Percentage is a ratio in the form of fraction of 100.
Percentage is defined by the "%" symbol.
What is the required value of the car ?At the start of the year 2014, Mike's car was worth £12000.
The value of the car decreased by 30% every year.
So, The value of the car at the start of 2015 = £12000×[tex](1-\frac{30}{100})[/tex]
= £ 12000×[tex]\frac{7}{10}[/tex]
= £ 8400
Again, The value of the car at the start of 2016 = £8400×[tex](1-\frac{30}{100})[/tex]
= £8400×[tex]\frac{7}{10}[/tex]
= £5880
∴ The value of the car at the start of 2017 = £5880×[tex](1-\frac{30}{100})[/tex]
= £5880×[tex]\frac{7}{10}[/tex]
= £4116
Learn more about percentage here :
https://brainly.com/question/843074
#SPJ2
Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in. Show your work
The question is not complete. The complete question is;
Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in.
1) What is the area of triangle RST?
2)What is the ratio of area of triangle RST to area of triangle RMT?
3) What is the area of rectangle RSMN to area of triangle TSN?
Diagram is attached.
Answer:
1) 36 sq.in
2) 2:1
3) 4:1
Step-by-step explanation:
1) Area of triangle is; ½ × base × height.
For triangle RST, base = 9 in and height = 8 in
Thus, area of triangle RST = ½ × 9 × 8
= 36 sq.in
2)Area of triangle RMT = ½ × 8 × 9/2
= 18 sq.in
Ratio of area of RST to area of RMT = 36/18 = 2:1
3)Area of triangle TSN = ½ × 8 × 9/2 = 18 sq.in
Area of Rectangle RSNM = Length x width = 9 × 8 = 72 sq.in
Ratio of Area of Rectangle RSNM to Area of triangle TSN = 72/18 = 4:1
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
3
Step-by-step explanation:
because is a hcsbjmcscin C d
Answer:
the right answer is x = 3 and x= -1/2
Step-by-step explanation:
I took the test.
Negative numbers have positive square roots.
A. True
B. False
Answer: False.
Step-by-step explanation:
False. Negative numbers have imaginary roots, represented by [tex]i[/tex].
For instance, the square root of negative 36 would be 6i.
What is 0.05% written as a decimal
Answer:
Any percentage cam be written as a part of 100
0.05% = 0.05/100 = 0.0005
I hope this helps you
Answer: .0005
Step-by-step explanation:
Move 2 spaces to the left
Convert 63 degrees C to
degrees F.
Celcius to fahrenheit conversion is just using this formula
(x°C × 9/5) + 32 = y°F
where x is the degrees in celcius and y is the degrees in fahrenheit.
Le'ts plug in 63 into the equation
63 x 9/5=113.4+32=145.4 degrees fahrenheit.
Drag each tile to the correct location. Not all tiles will be used.
The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?
1
5
8
25
40
64
125
512
Answer:
25:64
Step-by-step explanation:
surface : 4×pi×R^2
R1 = 5x
R2 =8x
4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64
William wants to invest $30,000 in a mutual fund.
a) Bank A has an annual interest rate of 6.5% for 5 years. How much money will he have
at the end of the 5 years? $
Answer:
He will have $39,750 at the end of five years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
[tex]P = 30000, I = 0.065, t = 5[/tex]
Interest earned:
[tex]E = P*I*t = 30000*0.065*5 = 9750[/tex]
Total amount:
[tex]T = E + P = 9750 + 30000 = 39750[/tex]
He will have $39,750 at the end of five years.
Determine if the set is a Pythagorean triple
Answer:
Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
What is the answer for numbers 9 and 10
Answer:
I think they're both trick questions because there are no like terms
Step-by-step explanation:
Students at a certain school were surveyed, and it was estimated that 20% of college students abstain from drinking alcohol. To estimate this proportion in your school, how large a random sample would you need to estimate it to within 0.08 with probability 0.95, if before conducting the study (a) you are unwilling to predict the proportion value at your school and (b) you use the results from the surveyed school as a guideline.
Answer:
a) A sample size of at least 251 students is needed.
b) A sample of at least 97 students is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
(a) you are unwilling to predict the proportion value at your school
We need a sample size of at least n.
n is found when M = 0.08.
We wont predict a proportion value for the school, so we use [tex]\pi = 0.5[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.08 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.08\sqrt{n} = 1.96\sqrt{0.5*0.5}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.5*0.5}}{0.08}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.5*0.5}}{0.08})^{2}[/tex]
[tex]n = 150.1[/tex]
Rounding up
A sample size of at least 251 is needed.
(b) you use the results from the surveyed school as a guideline.
Now we have that [tex]\pi = 0.2[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.08 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.08\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.08}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.2*0.8}}{0.08})^{2}[/tex]
[tex]n = 96.04[/tex]
Rounding up
A sample of at least 97 students is needed.
How many points appears in this figure ?
Answer:
5?
Step-by-step explanation:
I think you would count the middle point. But i don't completely know...
write Help Marshmello i wasn't born yesterday.
Answer:
1/4
Step-by-step explanation:
To find the slope given two points
m = (y2-y1) / (x2-x1)
= (4-3)/(5-1)
= 1/4
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step explanation:
[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{3 - 4}{1 - 5} \\ \frac{ - 1}{ - 4} \\ = \frac{1}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!