On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
Please help ASAP please help
Answer:
64
Step-by-step explanation:
8x4 is 32 multiplied by 2 is 64
V=LxWxH
(length x Width x Height)
convert 2x + y = -1 to slope intercept form
Answer:
y=-2x-1
Step-by-step explanation:
Your goal from Standard form to slope intercept form is to have the x on the right side of the equal sign. All you have to do is subtract 2x from both sides and you end up with y= -2x-1
8. How tall is a stack of 26 coins each 0.03 m thick?
Answer:
0.78
Step-by-step explanation:
0.03*26=0.78 simple math lol
I need help on my trig can someone help me on the question please and thank you
Answer:
210 degrees
Step-by-step explanation:
Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.
Cassandra works for a company that is based off her sales. If she is paid 9.5% of her total monthly sales, calculate her pay for the month if she sells $15,670 of product.
Answer:
I don't understand what you mean. but 10.43 i guess
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]
Answer:
the second option is correct
Step-by-step explanation:
Which of the following scenarios represents a possible impulse purchase?
Bryce researches interest rates on the purchase of a new car before deciding to make a purchase.
Bryce budgets for his first new car and decides to purchase a car through a dealership offering 0% interest to first-time buyers.
Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.
Answer: Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.
Step-by-step explanation: Please mark brainliest I am trying to level up
What is the value of x in trapezoid ABCD?
Answer:
15
Step-by-step explanation:
easton is paid $418.96 weekly. what is his average monthly net, or take-home pay?
Answer:
293.27
Step-by-step explanation:
418.96 x .7 = 293.27
S - 4= -8
What is S?
Answer:
S = -4
Step-by-step explanation:
-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.
Answer:
s-4+4=-8+4
s=-4
Step-by-step explanation:
x is equal to -4
Write a jingle to advertise
favorite dessert to the tune of
"Twinkle, Twinkle Little Star."
What is so special about this
dessert? How can you describe it
in a memorable, catchy way?
Y’all someone help no link ,will be reported
My Jingle:
Ice cream cake - oh, ice cream cake...
How I love the way you taste...
You melt in my mouth with every bite...
Dreams of you keep me up at night...
Ice cream cake - oh, ice cream cake...
How I love the way you taste.
I hope you like it!
Please solve this system of equations.
5x-2y=9
12x-8y=4
Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
[tex]\frac{8x}{8} = \frac{32}{8}[/tex]
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.
Answer:
x=4,y=11/2
Step-by-step explanation:
5x−2y=9
12x−8y=4
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x−2y=9,12x−8y=4
To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.
12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4
Simplify.
60x−24y=108,60x−40y=20
Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.
60x−60x−24y+40y=108−20
Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.
−24y+40y=108−20
Add −24y to 40y.
16y=108−20
Add 108 to −20.
16y=88
Divide both sides by 16.
y=11/2
Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.
12x−8x11/2=4
Multiply −8 times 11/2.
12x−44=4
Add 44 to both sides of the equation.
12x=48
Divide both sides by 12.
x=4
The system is now solved.
x=4,y=11/2
Mary is having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
A) If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
B) Splash of Color will always charge the least.
C) If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
D) If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
E) If it takes 3 hours to paint the rooms, both companies will charge the same amount.
Answer:
A and E
Step-by-step explanation:
A) 7 hrs in IDU will cost you $305.00 while SC cost $385
B) 4hrs in and SC will charge you more than IDU by $20
C) SC charges you more than IDU by $50 so IDU is more cost effective
D)SC will charge you $140 more than IDU but not $200
E) 55 x 3 = 165 while 35 × 3 105 plus 60 is 165 therefore it is the same
Please help me if you can!
Find the area of the regular octagon with radius of 14
feet.
Answer:
uhm- ok ok ok level hard o my gosh
I am not good at math, will give brainliest
Answer:
the answer is a
Step-by-step explanation:
What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *
Answer:
weird triangle
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
Scalene triangle: If the length of all the sides of triangle have different measurements then it is scalene triangle
Help Plis ...............
Answer:
it is positive 3/4
Step-by-step explanation:
it is the opposite of -3/4
Answer:
it would be a positive 3/4
"Jonas prepared himself to walk to the stage when the applause ended and the Chief Elder picked up the next folder and looked down to the group to call forward the next new Twelve. He was calm now that his turn had come. He took a deep breath and smoothed his hair with his hand." - The Giver *
1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient
Answer:
3rd limited
Step-by-step explanation:
Zachary's rectangle measures 4 1 /4 units by 4 1 /4 units. What is its area?
Answer:
169/12 square units.
Step-by-step explanation:
(12x - 3)* 105*. What is the value
of x in the figure
at the right?
3/2 inches of snow fell in 3/4 of an hour. Which two statements are correct?
Answer:
A and E
Step-by-step explanation:
write 98 as a product of its prime factor no links or photo or I will report you
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
We have,
To write an exponential growth function to find the monthly growth rate, use the following formula:
[tex]P(t) = P_0 (1 + r)^t[/tex]
Where:
P(t) is the population at time t
P₀ is the initial population (350 in this case)
r is the growth rate per time period (monthly rate in this case)
t is the time in the corresponding time period
To find the monthly growth rate.
[tex]= (1 + r)^{1/12} - 1[/tex]
= [tex](1 + 0.03)^{1/12} - 1[/tex]
= 0.02493
= 2.493 %
Therefore,
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
Learn more about exponential growth functions here:
https://brainly.com/question/14355665
#SPJ4
A university wants to investigate how much its students spend on textbooks each semester. Since all
students must purchase their materials through the campus bookstore, a random sample of 15 student
accounts is selected, and the averagą dollar amount spent on textbooks is calculated.
Which of these circumstances would make it inappropriate to use this sample to calculate a 95%
confidence interval for the mean amount spent on books by students at this university?
The standard deviation of the textbook costs is below $30.
The standard deviation of the textbook costs is larger than $100.
A stem-and-leaf plot of the textbook costs shows a roughly symmetric distribution
A histogram of the textbook costs is calculated and shows a slight skew to the right.
A boxplot of the textbook costs shows two students whose amounts would qualify as outliers,
Answer:
Step-by-step explanation:
Add 1/4+9/14+6/7. Simplify the answer and write it as a mixed number.
Answer:
In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.
Solve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
4, 5, 6
Step-by-step explanation:
- 6m < -24
-m < -4
m > 4
m has to be greater than 4
(-6, -7) and (3,-4)
Pleaseee helppppppp
Answer:
y = x/3 - 5
Step-by-step explanation:
Answer:
y = (1/3)x - 5 .
Step-by-step explanation:
(-6 , -7) ; (3 ,-4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]
m = 1/3 ; (3,-4)
y - y1 = m(x - x1)
[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.
Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
[tex]$H_0 : \mu = 13 $[/tex]
[tex]$H_a : \mu \neq 13$[/tex]
b). When the value of [tex]$\overline x = 12.84$[/tex]
Test statics :
[tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]
[tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]
[tex]$=\frac{1.82}{0.04}$[/tex]
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.