Suppose a normal distribution has a mean of 38 and a standard deviation of
2. What is the probability that a data value is between 36 and 43? Round your
answer to the nearest tenth of a percent.
A. 56.5%
B. 62.5%
C. 83.5%
D. 77.5%
SUBMIT
Answer:
C. 83.5%
Step-by-step explanation:
-1 < z < 2.5
0.9938-0.1587 = 0.8351
83.5%
Which of the following is most likely the next step in the series?
Answer:
it's D
Step-by-step explanation:
Find h, assuming the triangles formed are similar.
Answer:
h=18
Step-by-step explanation:
Answer:
Step-by-step explanation:
Similar triangles, the sides are in proportion
[tex]\frac{20}{8}=\frac{h}{6}\\\\\frac{20}{8}*6=h\\\\5*3=h\\[/tex]
h = 15
13. If 3 times a number minus 2 equals 13, what is the number?
A. 4
old
B. -6
OOOO
C.5
D.2
Answer:
5
Step-by-step explanation:
Answer:
The number is 5
Step-by-step explanation:
3x -2 = 13
Add 2 to each side
3x-2+2 = 13+2
3x = 15
Divide each side by 3
3x/3 = 15/3
x = 5
Which table shows the function y = -2x + 4?
es
Answer:
To figure this out you have to plug in values
c
4-5/8(-4)=6.5
4-5/8(2)=2.75
4-5/8(4)=1.5
4-5/8(8)=-1
Step-by-step explanation:
Given the figure as marked, identify the most specific type of quadrilateral.
Select the best answer from the choices provided.
A.
parallelogram
B.
rhombus
C.
rectangle
D.
square
Answer:
the answer is c. rectangle
AB is included between
A. BC and AC
B.
C. < A and
D. AB and BC
Answer:
Option C.
Step-by-step explanation:
By the property of unique triangles (ASA), one side is included between the two angles.
By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.
Therefore, [tex]\bar{AB}[/tex] is included between ∠A and ∠B.
Option C. will be the answer.
Renee can see a 25 square foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to see the quilt together?
28 hours because they are too long from each other
Answer:
Approximately 6.86 hours.
Step-by-step explanation:
Renee sews at a rate of 1.5625 sq ft an hour. Found using square feet divided by hours.
Genera sews at a rate of 2.084 sq ft an hour. Found using square feet divided by hours.
To find how fast they can sew the quilt together, we must add their sewing speeds together: 1.5626 + 2.084 = 3.64583333.
Using this equation we can divide a 25 sq ft quilt by their speed of 3.64583333 to get approximately 6.86 hours.
The answer is approximate because we used rounded decimals.
The volume of a cylinder is given by V = ar?h
where ris the radius of the cylinder and his the
height. Which expression represents the volume of
this can?
Answer:
D
Step-by-step explanation:
[tex]V=\pi r^{2}h\\ =\pi*(x+2)*(x+2)*3x+8\\ =\pi *x(x+2)+2(x+2)*3x+8\\ =\pi *x^{2}+4x+4*3x+8\\ =3x(x^{2}\pi+4x\pi+4\pi)+8(x^{2}\pi+4x\pi+4\pi0 \\ =3x^{3}\pi+20x^{2}\pi+44x\pi+32[/tex]
Plz help asap, shdhhshdhshxh
Answer:
The measure of angle 2 is 38 degrees
Step-by-step explanation:
38 degrees and angle 6 are vertical angles and are equivalent. Angle 6 and 2 are alternate interior angles meaning that they are also equivalent. So the angle of measure 2 must be 38 degrees.
Answer: 38 degrees
Step-by-step explanation: angle 8 is an exterior angle to angle 4. Angle 4 is vertical to angle 2 so the answer would be 38 degrees.
HOPE THIS HELPS
If f(x) = 3x - 2, find f(4).
Answer:
10
Step-by-step explanation:
f(x) = 3x - 2
Let x=4
f(4) = 3*4 - 2
=12-2
=10
Answer:
10
Step-by-step explanation:
Replace 4 for all the x values and solve
f(4)=3(4)-2
f(4)=12-2
f(4)=10
-6 + 4 i need help plz
Write in simplest form:
4 1/3 : 7
Answer:
13 : 21
Step-by-step explanation:
4 1/3 : 7
13/3 : 7
3*13/3 : 3*7
13 : 21
PLS SHOW ALL WORK AND ANSWER CORRECTLY
Answer:the solution was long so there are 3 pictures hope it helps u
Step-by-step explanation:
Find the value of n.
Answer:
n = -1.5
Step-by-step explanation:
[tex]\frac{1}{(\sqrt2)^{3} } } = 0.353553[/tex]
log ( [tex]2^{n}[/tex] ) = log (.353553)
n = [tex]\frac{log (0.353553) }{log (2)} = -1.5[/tex]
Nelson decides to invest $1,000,000 in a period annuity that earns 4.8% APR
compounded monthly for a period of 15 years. How many years will it take
Nelson to earn back his initial investment?
Answer:
21yearsStep-by-step explanation:
Amount invested by Nelson = $1,000,000
Interest rate per month = 4.8%
Simple Interest = Principal * Rate * Time/100
simple Interest = $1,000,000 * 4.8 *(1/12)/100
simple Interest = $1,000,000 * 4.8/1200
simple interest = $4,000/ month
Simple interest for one year = $4,000*12 = $48,000
In order to determine the number of years it will take Nelson to earn back his initial investment, we will divide its initial investment by the interest earned on the investment yearly as shown;
amount of years = $1,000,000/ $48,000
Amount of years = 20.8years ≈ 21years
10.7 years
Step-by-step explanation:
hope this helps
Which equation correctly represents the distance between - 15.1 and -3.9 on a number line?
- 3.9 - (-15.1)] = 11.2
-3.9 - 15.1 = -11.2
|- 15.2 + (-3.9) |= 19
-15.1 - 3.9 = -19
Answer:
Step-by-step explanation:
Keep in mind that distance is positive, not negative. Eliminate the negative results.
- 3.9 - (-15.1)] = 11.2 is correct. -(-15.1) - 3.9 is approximately 15 - 4, or 11, which agrees with the 11.2 correct result.
what is the volume of the prism to the nearest whole unit?
Answer:
715 in^3; Option D
Step-by-step explanation:
We know that the basic formula for most 3 - dimensional figures is to multiply the base by height. Here the base consists of dimensions 13 by 11, with height 5 inches so that the volume of this rectangular prism can be calculated through the following procedure;
[tex]Base - 13 in * 11 in = 143 in * in = 143 square inches,\\Height - 5 inches,\\Volume of Rectangular Prism - Base * Height = 143 square inches * 5 inches = 715 cubic inches / 715 in^3\\\\Solution; 715 in^3[/tex]
Volume of Prism ⇒ 715 in^3; Option D
It is less important to account for factors like warranties and durability when purchasing a A: durable goods B: long-term product C:nondurable D: very expensive item PLz answer
Answer:
the answer is C Non durable
Step-by-step explanation:
which choice is equivalent to the quotient shown here when x>0
Answer:
D
Step-by-step explanation:
Answer:
C. x sqrt 5
I hope this helps! I just took the quiz
At 50, Brian sets up an IRA, where he plans to deposit $12,000 at the end of each year until age 75. Find the amount of the annuity if he invests in a stock fund that yields 4% compounded annually.
Answer: the amount of the annuity is $501000
Step-by-step explanation:
We would apply the future value which is expressed as
FV = C × [{(1 + r)^n - 1}/r]
Where
C represents the yearly payments.
FV represents the amount of money
in your account at the end of 25 years.
r represents the annual rate.
n represents number of years or period.
From the information given,
r = 4% = 4/100 = 0.04
C = $12000
n = 75 - 50 = 25
Therefore,
FV = 12000 × [{(1 + 0.04)^25 - 1}/0.04]
FV = 12000 × [{2.67 - 1}/0.04]
FV = 12000 × 41.75
FV = $501000
Which is the equation in slope-intercept form for the line that passes through (3, 3) and is parallel to x + 3y=4?
Answer:
hope this is correct
How many 3-digit multiples of 13 are there?
Answer:
There are 69
Step-by-step explanation:
1+(104-998)/13=69
What are two main purposes of all business?
deeloping communities ingraece
improving pubic image
incurring costs
macming profits
Answer:
Developing communities ingraece and improving pubic image is the correct answer to the given question
Explanation:
Following are the purposes of all business is given below
Giving the maximum profit to the owner of the business .Providing the social profit to the people as well as improving the pubic image in the environment .The business sometimes is creating the customer kindness in the organization .The business main objective to increasing the local jobs as well as in the disposable income.All the other option are not correct as we compare to the public environment so these are incorrect option .Answer:
earning revenue
maximizing profits
Please hurry
Which quadratic function has a vertex of (1, 4) and passes through
the point (0, 3)?
Answer:
f(x)=−(x−1)^2+4
Step-by-step explanation:
what is th rate equivalent to an annual rate of 20% with monthly capitalization
Answer:
about 21.9%
Step-by-step explanation:
The effective annual multiplier is ...
(1 +r/n)^n = (1 +0.20/12)^12 ≈ 1.21939
The rate equivalent is 1 less than this:
1.21939 -1 = 0.21939 = 21.939%
The volume of the cone is 540π , work out the height of the cone.
radious = 6cm
Answer:
14.32
Step-by-step explanation:
The volume of the cone is 540π , work out the height of the cone.
radious = 6cm
Answer:
14.32
Step-by-step explanation:
if w = 54 what is the value of x
Answer:
i think it's like this
Step-by-step explanation:
w+7x+3x=180
w+10x=180
54+10x=180
10x=180-54
10x=126
x=126-10
x=116
Answer=116
I hope it's right :)
Choose EVERY true proportion.
AB - DE
OAB - AC
AB - BO
BD
AC
BC
DE
Answer:
Step-by-step explanation:
I think its 2 and 4.
Please help me answer all parts of this in the next two hours!
Answer:
1) Yes, table shows a probability distribution
2) Mean = 1.5
3) Standard Deviation = 1.1
Step-by-step explanation:
PART 1:
For the table to show a probability distribution, the sum of all probabilities should be equal to 1
Sum of probabilities = 0.358 + 0.443 + 0.174 + 0.025
Sum of probabilities = 1
Hence, the table shows the probability distribution.
PART 2:
The formula for mean is given by:
Mean = Sum of terms/ Total no. of terms
Mean = (0+1+2+3) / 4
Mean = 1.5
PART 3:
The formula for standard deviation is given by:
[tex]\sigma=\sqrt{\frac{\sum(x_i-\mu)^2}{N}}[/tex]
Solve using a calculator, we get
σ = 1.118
Round off to one decimal place
σ = 1.1