Answer:
157.48cm
Step-by-step explanation:
5feet 2inches
=(5×12) +2in.
=62in. [ 1ft = 12in.]
= 12in. = 2.54cm
=62in. = (2.54 × 62)
=157.48cm
Question 5
Find the volume.
Answer:
6144π ft³ ; 19292.2 ft³
Step-by-step explanation:
The volume of the cylinder Given above :
Volume of cylinder, V = πr²h
r =Radius = 16 ; h = 24 ft
V = π * 16² * 24
V = 256 * 24 * π
V = 6144π
Using π = 3.14
V = 6144 * 3.14 = 19292.16
Draw a negative linear relationship. Label it R. Along a curve showing a linear relationship, how does y change for each increase in x of one unit? For each increase in x of one unit, y _______.
Answer:
For each unit increase in x ; y decreases by 2 units.
Step-by-step explanation:
A negative relationship between two variables, X and Y is depicted d on a scatter plot by a negative trend line or slope. A negative relationship is interpreted as the decrease in variable X as Y increases or vice versa.
The scatter plot attached is related by the linear model :
y = - 2x + 110
Here, the slope of the plot is - 2 ; this means that for every unit increase in x - axis, then the y values decrease by 2 units.
What is the following quotient?
Answer:
First option is the correct answer.
[tex] \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]
Step-by-step explanation:
[tex] \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]
The price of a product is increased by 30% and then again by 10%. How many per cent did the price increase altogether?
Answer:
40%
Step-by-step explanation:
Because you want to know the total percent the price increased so you add the amounts. 30% plus 10% makes 40%
Does memory change with age?
A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age groups. The groups differ according to the age of subjects. In group 1, all participants are 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that the participants are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each participant is shown a series of nonsense syllables (a meaningless combination of three letters such as DAF or FUM) at a rate of one syllable every 4 seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant:
30 years old 40 years old 50 years old 60 years old
14 12 17 13
13 15 14 10
15 16 14 17
17 11 9 8
12 12 13 16
10 18 15 9
Instructions:
Below are 5 different experiments descriptions and datasets. For this project you will have to decide the statistical analysis (correlation, regression, z test t-test, anova) appropriate for the experiment and conduct the analysis either using Jamovi and uploading a screenshot of the output, or by hand and showing your calculations.
You need to submit a docx or PDF file. For all the experiments and calculations assume normality and a=0.05. You need to respond to 4 out of the 5 experiments (25 points each). The response needs to have the following information:
• Experiment title.
• Hypotheses: both alternative and the null.
• Mean and standard deviation of each group.
• Clear indication of the hypothesis test being conducted and the obtained statistic.
• The results and conclusion.
Answer:
yes memory changes with age.
Step-by-step explanation:
While eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a Poisson distribution with a rate of 18 customers per hour. What is the probability that more than 4 customers arrive in a 10 minute interval
Answer:
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Rate of 18 customers per hour.
This is [tex]\mu = 18n[/tex], in which n is the number of hours.
10 minute interval:
An hour has 60 minutes, so this means that [tex]n = \frac{10}{60} = \frac{1}{6}[/tex], and thus [tex]\mu = 18\frac{1}{6} = 3[/tex]
What is the probability that more than 4 customers arrive in a 10 minute interval?
This is:
[tex]P(X > 4) = 1 - P(X \leq 4)[/tex]
In which:
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex] = 0.0498 + 0.1494 + 0.2240 + 0.2240 + 0.1680 = 0.8152[/tex]
And
[tex]P(X > 4) = 1 - P(X \leq 4) = 1 - 0.8152 = 0.1848[/tex]
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
What is the value of m?
[tex] \huge \underline \mathcal{Answer}[/tex]
The given angles forms linear pair, and we know the angles forming linear pair are supplementary,
Therefore,
Angle MHJ + Angle MHL = 180°
Let's solve :
[tex](5m + 100) \degree + (2 m + 10) \degree = 180 \degree[/tex][tex]7m + 110 \degree = 180 \degree[/tex][tex]7m = 70 \degree[/tex][tex]m = 10 \degree[/tex]Value of variable m = 10°
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Assume that both populations are normally distributed.
a. Test whether u1≠ u2 at the alpha=0.05 level of signifigance for the given sample data. (u= population mean, sorry couldnt insert the symbol). Determine p value. Should the null hypothesis be rejected?
b. Construct a 95% confidence interval about μ1−μ2. at the alphα=0.05 level of significance for the given sample data.
Population 1 Population 2
n 18 18
x 12.7 14.6
s 3.2 3.8
Answer:
Fail to reject the null hypothesis
[tex]CI = (-4.278, 0.478)[/tex]
Step-by-step explanation:
Given
[tex]n_1=n_2 = 18[/tex]
[tex]\bar x_1 = 12.7[/tex] [tex]\bar x_2 = 14.6[/tex]
[tex]\sigma_1 = 3.2[/tex] [tex]\sigma_2 = 3.8[/tex]
[tex]\alpha = 0.05[/tex]
Solving (a): Test the hypothesis
We have:
[tex]H_o : \mu_1 - \mu_2 = 0[/tex]
[tex]H_a : u1 - u2 \ne 0[/tex]
Calculate the pooled standard deviation
[tex]s_p = \sqrt\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2}{n_1+n_2-2}}[/tex]
[tex]s_p = \sqrt\frac{(18-1)*3.2^2 + (18-1)*3.8^2}{18+18-2}}[/tex]
[tex]s_p = \sqrt\frac{419.56}{34}}[/tex]
[tex]s_p = \sqrt{12.34}[/tex]
[tex]s_p = 3.51[/tex]
Calculate test statistic
[tex]t = \frac{x_1 - x_2}{s_p*\sqrt{1/n_1 + 1/n_2}}[/tex]
[tex]t = \frac{12.7 - 14.6}{3.51 *\sqrt{1/18 + 1/18}}[/tex]
[tex]t = \frac{-1.9}{3.51 *\sqrt{1/9}}[/tex]
[tex]t = \frac{-1.9}{3.51 *1/3}[/tex]
[tex]t = \frac{-1.9}{1.17}[/tex]
[tex]t = -1.62[/tex]
From the t table, the p value is:
[tex]p = 0.114472[/tex]
[tex]p > \alpha[/tex]
i.e.
[tex]0.114472 > 0.05[/tex]
So, the conclusion is that: we fail to reject the null hypothesis.
Solving (b): Construct 95% degree freedom
[tex]\alpha = 0.05[/tex]
Calculate the degree of freedom
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 18+18 - 2[/tex]
[tex]df = 34[/tex]
From the student t table, the t value is:
[tex]t = 2.032244[/tex]
The confidence interval is calculated as:
[tex]CI = (x_1 - x_2) \± s_p * t * \sqrt{1/n_1 + 1/n_2}[/tex]
[tex]CI = (12.7 - 14.6) \± 3.51 * 2.032244 * \sqrt{1/18 + 1/18}[/tex]
[tex]CI = (12.7 - 14.6) \± 3.51 * 2.032244 * \sqrt{1/9}[/tex]
[tex]CI = (12.7 - 14.6) \± 3.51 * 2.032244 * 1/3[/tex]
[tex]CI = -1.90 \± 2.378[/tex]
Split
[tex]CI = (-1.90 - 2.378, -1.90 + 2.378)[/tex]
[tex]CI = (-4.278, 0.478)[/tex]
Which pair of undefined terms is used to define a ray?
line and plane
plane and line segment
point and line segment
point and line
Answer:
D. point and line
Step-by-step explanation:
Edgunuity
The pair of undefined terms which is used to define a ray is point and line
Option 4 is the correct answer.
What are a line, line segment, and ray?Line - It has no fixed points it extends infinitely on both ends.
Line segment - It has two fixed endpoints and does not extend infinitely on any end.
Ray - It has one fixed point on one side and extends infinitely on the other side.
We have to define a ray.
A ray will have a fixed point on one end and extends infinitely on the other end.
i.e a point and a line.
Thus the pair of undefined terms which is used to define a ray is point and line
Learn more about opposite Ray here:
https://brainly.com/question/17491571
#SPJ5
Determine the value of x.
Answer:
Step-by-step explanation:
(B). 2√2
The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the
triangle.
Answer:
Step-by-step explanation:
Let x be the height ..... then the base = 2x + 2
So we have
Area = (1/2) (base) (height)
20 = (1/2)(2x + 2)(x) simplify
20 = x (x + 1)
20 = x^2 + x subtract 20 from both sides
x^2 + x - 20 = 0 factor
(x + 5) ( x - 4) = 0
Only the second factor makes sense
x - 4 = 0 add 4 to both sides
x = 4 ft and this is the height
And the base = 2(4) + 2 = 10 ft
Identify the location of the point (0, -3).
Answer:
Point p
Step-by-step explanation
The first number in your point is on the x axis, but since it's 0 you don't move anywhere.
The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.
When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.
here is the picture!
someone please answer ASAP!!
i need to know if my math is right
Answer:
good luck
Step-by-step explanation:
you will get answers after some time
Answer:
base 48
width 8 and length 6
pls brainliest. should work and you get points back
PLEASE HELP !! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answer: 2
Step-by-step explanation:
Sub in 2 to both equations
[tex]2^2-1=-2+5\\4-1=3\\3=3[/tex]
As you see we see that both sides result into 3 (which would be the y) meaning they both intersect when x=2 and y=3
what is 9x+12y
._.
so can you help me ?? ...umm :p
Simplifying
9x = 12y
Solving
9x = 12y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '9'.
x = 1.333333333y
Simplifying
x = 1.333333333y
The managers of a fast food chain want their products to be as similar as possible across locations. They suspect that the burgers at their Albuquerque branch have bigger parties than the burgers at the Santa Fe branch, so they take a sample of 7 patties from each restaurant and measure their weights in gransk
Albuquerque 11011 110 110 111 112 106
Santa Fe 107 111 110 108 109 110 109
The managers want to test if the parties in the Albuquerque branch have a higher average weight than the patties in the Santa Fe branch. Assume that all conditions for inference have been met
Which of these is the most appropriate test and alternative hypothesis?
a. Pairedt test with H>0 3
b. Pairedt test with H > 0
c. Pairedt test with Ht0
d. Two-sample t test with H. > 0
Answer:
H0 : μd = 0
H1 : μd > 0
Step-by-step explanation:
The scenario described above can be compared statistically using a paired test mean as the mean if the two groups are dependent, the two restaurants, Albuquerque and Santa Fe are both restaurant locations of a single restaurant company. Hence, to test the mean difference, we use the paired test statistic. Defined thus `
Null hypothesis ; H0 : μd = 0 and the Alternative hypothesis ; H1 : μd > 0
Answer:
Two Sample T test with Ha = Albernuque>Santa Fe
Step-by-step explanation:
Khan
PLEASE HELP DUE IN 15 MINUTES
9514 1404 393
Answer:
3280Step-by-step explanation:
The equation y = 8x means the value given for x is multiplied by 8.
1. 8 × 4 = 32 . . . scales in 4 days
2. 8 × 10 = 80 . . . scales in 10 days
210
What is the arc length when
=
and the radius is 6 cm?
Answer:
ans : option 2nd
Step-by-step explanation:
total angle substand perimeter of circle so,
so solve by using unitary methods
There are approximately 1.2×10 to the eighth household in the US if the average household uses 400 gallons of water each day what is the total number of gallons of water used by households in the US each day
Answer:
[tex]Total = 4.8 * 10^{10}[/tex]
Step-by-step explanation:
Given
[tex]h = 1.2 * 10^8[/tex] --- households
[tex]g = 400[/tex] --- gallons
Required
The number of households
To do this, we simply multiply the average households by the gallons.
[tex]Total = g* h[/tex]
[tex]Total = 400 * 1.2 * 10^8[/tex]
[tex]Total = 480 * 10^8[/tex]
Rewrite as:
[tex]Total = 4.8 * 10^2 * 10^8[/tex]
[tex]Total = 4.8 * 10^{10}[/tex]
The radius of a circle is 9in. Find it’s circumference in terms of
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle "[tex]r[/tex]" = 9 in.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex] = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in[/tex]
Therefore, the circumference of the circle is 56.52 in.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Using the image above, set up the equation that would help to determine the value
of angle x.
Answer:
the equation is sin−1 (8/11)
Can anyone please help me with this ? Thanks 2.5m = 75
2.5m = 75
To find m divide both sides by 2.5:
M = 75/2.5
M = 30
Answer:
m = 30
Step-by-step explanation:
2.5 m = 75
To find m divide 75 by 25
m = 75 / 2.5
m = 30
5 more than the quotient of 3 and t
Answer and Step-by-step explanation:
[tex]\frac{3}{t}[/tex] + 5
Above is the answer.
#teamtrees #PAW (Plant And Water)
help fast The graphs below have the same shape. What is the equation of the red
graph?
no links plz
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]B)\text{ } G(x)=x^3-5[/tex]
»»————- ★ ————-««
Here’s why:
According to the question provided, functions 'f' and 'g' are the same shape. The parent function 'f' is shifted 5 units down to create function 'g'.⸻⸻⸻⸻
[tex]\boxed{g(x)=x^3-5}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
11. If Kaleb has 26 candy bars and sells them for $2.50 each, how much money will he
make if he sells half of the candy bars.
Answer:
$32.50
Step-by-step explanation:
The total amount of candy bars is 26. Half of that is 13. 13 times the $2.50 for each is $32.50.
If a die is rolled one time find these probabilities
-getting a number greater than 2 and an even number
-getting a number less than 1
Answer:
1. 1/3
2. 0
Step-by-step explanation:
Which of the following is the maximum value of the function y=–2x2 + 5?
Answer:
( 1. 6 )
Step-by-step explanation:
Use the formula:
x = - b/2a
to find the maximum and minimum.
Answer: (1, 6 )
Step-by-step explanation:
This should help:
x = - b/2a
Does a even number have any related numbers that are odd like 3 or 7?
Answer:
I do not think that there is any even numbers related to odd numbers
A book contains the following recommend weight for kangaroos:" Give the kangaroo 120 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, what height corresponds to the recommended weight of 180 pounds?
Answer:
A 180-pound kangaroo's recommended height is 6 feet.
Step-by-step explanation:
Since 120-pound kangaroo is 5 feet tall and for every inch over this height we add 5 pounds to the total weight, we can make this formula. [tex]120+x=180[/tex]. Using this we can figure out the weight difference between a 120-pound kangaroo and a 180-pound kangaroo. After solving for x we get [tex]x=60[/tex].
Now that we know the 180-pound kangaroo weighs 60 more pounds than a 120-pound kangaroo we can divide that weight difference by 5 to figure out the height difference. [tex]60/5=12[/tex]
After getting the height difference from the weight difference we can conclude that a 180-pound kangaroo's recommended height is 5 feet and 12 inches. Since 12 inches = 1 foot we can easily convert 5' 12" to 6'. This means that a 180-pound kangaroo is 6 feet tall.
What is the inverse of the function f(x) = 2x – 10
Answer:
y = 1/2x +5
Step-by-step explanation:
change f(x) to y
y = 2x - 10
then switch x and y
x = 2y - 10
then solve for y
add 10 to both sides and divide both sides by 2
Answer:
Step-by-step explanation:
One way to find the inverse is:
1. replace the symbol f(x) with y (for simplicy--stay tuned). Now you have
y = 2x -10
2. switch x and y. You get x = 2y - 10
3. Solve for y.
x + 10 = 2y
y = (x + 10)/2
4. Replace y with the symbol for the inverse function,
Another approach is to think about inverse operations in reverse order.
f(x): start with x
multiply by 2
subtract 10
Inverse: start with x
add 10 (addition is the inverse of subtraction)
divide by 2 (division is the inverse operation of multiplication)
