Answer:
0.4325 = 43.25% probability that the mouse weighs less than 722 grams
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 726 grams and a standard deviation of 23 grams.
This means that [tex]\mu = 726, \sigma = 23[/tex]
a) What is the probability that the mouse weighs less than 722 grams
This is the p-value of Z when X = 722. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{722 - 726}{23}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a p-value of 0.4325
0.4325 = 43.25% probability that the mouse weighs less than 722 grams
2. State the main reasons why farmers are able to grow three different crops in a year in
Palampur
Answer:
abundance of water and suitable climatic conditio n is the main reasons .
find the area of a rectangle with a length of (5x+2) and width of (2x-1)
Step-by-step explanation:
the rectangle area=L*W
(5x+2)(2x-1)
10x^2-5x+4x-2
10x^2-x-2
A school spent $780,000 in one year to pay all of its teachers and administrators. The school has a total of twenty-four teachers and administrators combined. If teachers make $35,000 per year and administrators make $40,000 per year, how many teachers and how many administrators does the school have?
Answer: Impossible
Step-by-step explanation: Even if 24 people were on the teacher salary, 780,000 still couldn't cover them all.
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears filled with blackboard errors, the total amount in dollarspaid can be approximated by a Gaussian random variableYnwith expected value 40nandand variance 100n. What is the probability that 20exceeds 1000
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]
[tex]\mu = 40n[/tex]
[tex]\sigma^2=100n[/tex]
[tex]n=20[/tex]
then,
The required probability will be:
= [tex]P(Y_{20}>1000)[/tex]
= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]
= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]
= [tex]P(Z>\frac{200}{44.7214} )[/tex]
= [tex]P(Z>4.47)[/tex]
By using the table, we get
= [tex]0.0000039110[/tex]
FINDING PERIMETER need help right now
Answer:
if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.
Will someone help with this???? ALG 2
Answer:
The answer is D
Step-by-step explanation:
The two solutions are (-2,0) (this is the solution that is on the x axis to the left).
And
(0,2)
Remember the notation is alphabetical. The x value is stated on the left. Then comes a comma, and the y value is on the right of the comma.
3. Find mZS.
Q= 5x + 2)
P= 10x - 3)
(7x - 11)=ºR
(13x - 31)º=S
(8x - 19)=T
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
The measure of ∠S is equal to 151°.
What is a shape?In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.
As per the given data:
We are given the diagram of a shape and all its internal angles.
As the given shape is having 5 sides, it will be a pentagon.
The sum of all internal angles in a pentagon is equal to 540°.
∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
= 43x - 62 = 540
= 43x = 602
x = 14
To find the measure of ∠S.
∠S = 13x - 31
∠S = 13(14) - 31
∠S = 151°
The measure of ∠S is equal to 151°.
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WORKOUT
View
Take
Page 2 of 30
Question 2
If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six
minutes?
Choose one
Enter
your
answer
here
Answer:
= 6 typists
Step-by-step explanation:
Well, 2 can type 2 in 2 mins,
So, 1 can type 2 in 4 mins.
So, 1 can type 18 in 36 mins.
So, 2 can type 18 in 18 mins.
So, 6 can type 18 in 6 mins.
The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the trend in the scatter plot?
Answer:
Each additional pound adds about one hour of cooking time.
Step-by-step explanation:
An 11-pound roast will take about 4 hours.
If you look at the plot I assume that the first dot there symbolizes the number 11 and the dot is positioned on about 4 hours. The question is asking which statement isn't supported by the plot and so this is incorrect.
Each additional pound adds about 1/2 hour of cooking time.
Yes, if you once again look at the plot you can see with each additional pound the time it takes to cook is roughly 1/2 hour more than the previous one. Of course there are spaces but by looking at the rest of the plot you can predict where those dots go.
A 16-pound roast will take about 6.5 hours to cook.
Once again if you look at the plot and look for the point that's above 16 lb if you look at it, it does say it takes about 6.5 hours.
Each additional pound adds about one hour of cooking time.
This question must be the answer as the question is asking for the option that is NOT supported by the plot and this answer cannot be supported by the plot if we already know, "Each additional pound adds about 1/2 hour of cooking time." is true.
ind g(x), where g(x) is the translation 5 units right of f(x) = x.
Write your answer in the form mx + b, where m and b are integers.
A. g(x)= x + 5
B. g(x)= x - 5
C. g(x)= x(5)
D. none of the above
Andy cycles a distance of 30 km at an average speed of 24 km/h.
He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes.
Give your answer in hours and minutes.
Step-by-step explanation:
Total time taken=(30/24+12/8)
=(1.25+1.5)
=2.75 hrs
=165 minutes
=2 hrs and 45 minutes
formula used: v=d/t
or,d=v×t
or,t=d/v which is the master formula used in the solution of this problem.
If you are satisfied with my answer then please, give brainliest.
If the standard deviation of a data set was originally 4, and if each value in the
data set was multiplied by 8.5, what would be the standard deviation of the
resulting data?
A.9
B.34
C.4
D.13
Answer:
d
Step-by-step explanation:
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? 2.42 Can it be concluded that the population mean is greater than 50? Yes b. With = 51, what is the value of the test statistic (to 2 decimals)? .97 Can it be concluded that the population mean is greater than 50? No c. With = 51.8, what is the value of the test statistic (to 2 decimals)? 1.65 Can it be concluded that the population mean is greater than 50? Yes
Answer:
Step-by-step explanation:
From the question we are told that:
Null Hypothesis [tex]H_0: 50[/tex]
Alternative Hypothesis [tex]H_a: > 50[/tex]
Sample size [tex]n=50[/tex]
standard deviation[tex]\sigma=6[/tex]
Significance level [tex]\alpha=0.05[/tex]
a)
Sample mean [tex]\=x=52.5[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.95[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Reject the Null hypothesis [tex]H_0[/tex]
b)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=1.18[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude,The value of test statistics is less than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
c)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.12[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
Subtract the sum of 13 and 6 from 40. *
what is 125%of$500.00
Answer:
125 percent
Step-by-step explanation:
25 percent *500.00 =
(25:100)*500.00 =
(25*500.00):100 =
12500:100 = 125
Now we have: 25 percent of 500.00 = 125
Question: What is 25 percent of 500.00?
Percentage solution with steps:
Step 1: Our output value is 500.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$500.00=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$500.00=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{500.00}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
{x}/{500.00}={25}/{100}$
$Rightarrow x=125$
Therefore, $25\%$ of $500.00$ is $125$
Find what value of x makes the equation true
[tex]\sf\purple{The\:value\:of\:x\:is\:10.4.}[/tex]✅
Step-by-step explanation:
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4[/tex]
[tex]\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}[/tex]
To verify:-
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Alonzo deposits 300 into an account that pays simple interest at a rate of 4% per year . How much interest will he be paid in the first 4 years
Answer:
1200 was is interested in the first 4years
There are 120 children of whom
9/7are boys. How many are boys?
There are 10 students in a class. How many different ways can a teacher ask 3 students to complete tasks?
Answer:
518,400ways
Step-by-step explanation:
nPr=n/n-r
10P3=10/(10-3)
=10/7
=10x9x8x7x6x5x4x3x2x1/7
=3,628,800/7
=518,400 ways
There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.
What is Binomial distribution?Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.
The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.
As per the given data in the question,
Total number of students in the class = 10
So, the ways the teacher can ask 3 students to complete the task will be,
= ¹⁰C₃ = 10!/[3! (10 - 3)!]
= (10 × 9 × 8 × 7!)/[3! × 7!]
= 720 / 6
= 120 ways.
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based on the information in the diagram?
Answer:
We can not use ASA property of congruence.
Step-by-step explanation:
In ΔHML and ΔHMK,
HL ≅ HK [Given]
LM ≅ KM [Given]
HM ≅ HM [Reflexive property]
m∠L ≅ m∠K [Given]
ASA property of congruence,
Angle-Side-Angle property of congruence.
False
SSS property of congruence,
Side-Side-Side property of congruence,
True
SAS property of congruence,
Side-Included Angle-Side property of congruence,
True.
Therefore, we can not use ASA property of congruence.
All sides of quadrilateral ABCD are tangent to circle P.
What is the perimeter of the quadrilateral below?
Answer:
44.4 units
Step-by-step explanation:
Recall: 2 tangents drawn from an external point from a circle are congruent
Perimeter of the quadrilateral = AB + BC + CD + AD
AB = 3.1 + 8 = 11.1
BC = 3.1 + 8 = 11.1
CD = 11.1 (given)
AD = 8 + 3.1 = 11.1
Perimeter = 11.1 + 11.1 + 11.1 + 11.1
= 44.4 units
simplify 8+3{x-2[x+5(x3)]}
the correct answer is negitive one hundred eighty (-180)
Find the slope. Simplify completely.
Solve (x – 3)^2 = 5
please help ASAP
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−6x+9=5
Step 2: Subtract 5 from both sides.
x^2−6x+9−5=5−5
x^2−6x+4=0
Step 3: a=1, b=-6, c=4
1x^2+−6x+4=0
Step 4: Quadratic formula (a) =1, b=-6, c=4
x= 6±√20 /2
Step 4: Last Step
x=3−√5
Explanation in words:
The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.
Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.
Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.
Answer:
x=3+√5
x=3−√5
Hope this helps.
Answer:
Step-by-step explanation:
IG you wanted to solve for X ? there are two answers ofc,
x= 3-[tex]\sqrt{5}[/tex]
x=3+[tex]\sqrt{5}[/tex]
distribute 48xy + 36x
Answer:
48xy+36x
=6x(8y+6)
Step-by-step explanation:
Suppose y varies directly with x. When
x is 4, y is 10. Write the equation that
relates x and y
Answer: y = (5/2)x
Step-by-step explanation:
y varies directly with x implies that y∝x
To turn y∝x to a full equation, introduce a constant k to the right hand side.
Therefore, y = kx
Given that x is 4 and y is 10, substitute x and y in the equation above.
Then, 10 = 4k
4k = 10
k = 10/4
k = 5/2
Since k = 5/2, then the equation y = kx becomes,
y = (5/2)x
Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
Answer:
65.3%
Step-by-step explanation:
P(2,3, OR 4)
You have to do each one individually then add them together
5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=
.3465+.2304+.0768=.6528=65.3%
Let Y1 denote the weight of a bulk item stocked by a supplier, with a uniform distribution over the interval (0, 1). The random variable Y2 denotes the weight of the item sold and is assumed to have a uniform distribution over the interval (0, y1), where y1 is a specific value of Y1. If the supplier stocked 5 6 ton, what amount in tons could be expected to be sold during the week
Answer:
5/12 ton
Step-by-step explanation:
Y1 ( uniform random variable ) : ( 0, 1 )
Y2 ( uniform distribution ) ; ( 0, y1 )
supplier stocked ; 5/6 ton
Determine the amount of tons expected to be sold
F ( y2 | y1 ) = 1 / y1
E ( y2 | y1 = 5/6 )
The number of tons expected to be sold = 5/12 ton
attached below is the detailed solution
Question 11 of 21
If you horizontally compress the exponential function f(x) = 2X by a factor of
4, which of these is the equation of the new function?
A. Rx) = 6*
B. f(x) = 8
C. f(x) = 4(24)
D. AX) = 2(4x)
SUBMIT
Answer:
B) f(x) = 8x
Step-by-step explanation:
Horizontal shifts are representative of "C" in the equation "BF(CX-H)+K"
So, 2x * 4 = 8x
Someone help me out my grads are bad
Answer:
19 in^2
Step-by-step explanation:
3in * 5in = 15in^2
2in * 2in = 4in^2
15in^2 + 4in^2 = 19in^2
Feel free to mark it as brainliest :D
Answer: 19
Step-by-step explanation:
Area of the square + Area of the Triangle
good luck my boi