Answer
The point estimate of the mean is [tex]\= x = 32[/tex]
The margin of error is [tex]E =6[/tex]
Explanation
From the question we are told that
The lower bound of the interval is [tex]a = 26[/tex]
The upper bound of the interval is [tex]b = 38[/tex]
Generally the point estimate of the population mean is mathematically represented as
[tex]\= x = \frac{a +b}{2}[/tex]
=> [tex]\= x = \frac{26 +38}{2}[/tex]
=> [tex]\= x = 32[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{ b- a}{2}[/tex]
=> [tex]E = \frac{ 38- 26}{2}[/tex]
=> [tex]E =6[/tex]
PLs, help me - an international company has 18,700 employees in one country. If this represents 32.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
33.6% of X = 26800
X = 26800 / 33.6%
= 26800 / 0.336
= 79762
Note the answer is rounded
Step-by-step explanation:
33.6% of X = 26800
X = 26800 / 33.6%
= 26800 / 0.336
= 79762
Note the answer is rounded
Gabriella invested $73,000 in an account paying an interest rate of 3%
compounded continuously. Mila invested $73,000 in an account paying an interest
rate of 3% compounded quarterly. After 5 years, how much more money would
Gabriella have in her account than Mila, to the nearest dollar?
Answer:
Gabriella will make $61 more than Mila after 5 years
Step-by-step explanation:
Gabriella Data
Principal Amount P= $73,000
Rate r = 3% or 0.03
Compounded continuously
Time t = 5 years
The formula used is: [tex]A=Pe^{rt}[/tex]
Putting values and finding A
[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]
So, After 5 years Gabriella will have $84814
Mila Data:
Principal Amount P= $73,000
Rate r = 3% or 0.03
Compounded quarterly n = 4
Time t = 5 years
The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]
So, After 5 years Mila will have $84753
Now subtracting to find the difference 84814-84753 = 61
So, Gabriella will make $61 more than Mila after 5 years
1.5.3
6x+7
To solve for the lengths of the right triangle sides, which equation is correct?
A. x² = (4x - 1)² + (6x + 7)?
B. x2 +(6x + 7)2 = (4x - 1)2
c. x² = (4x - 1)² – (6x + 772
D.x² + (4x - 1)2 = (6x + 7)?
4x-1
To solve for the lengths of the right triangle sides, equation is correct.
(Type A, B, C, or D.)
Answer:
A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]
Step-by-step explanation:
The question seems to be incomplete. However, we'll make the following assumption.
[tex]Opposite = 6x + 7[/tex]
[tex]Adjacent = 4x - 1[/tex]
[tex]Hypothenuse = x[/tex]
Pythagoras theorem states that:
[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]
Substitute values for Hypothenuse, Opposite and Adjacent.
This gives
[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]
or
[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]
From the list of given options.
A answers the question
In △BCD, H is the centroid. If HF=6 find BF.
Answer:
18
Step-by-step explanation:
The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex
So HF=⅓BF
So BF=3xHF=3x6=18
I need help asparagus is it a b c d please help me
Answer:
A
Step-by-step explanation:
A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?
Answer:
C this is a double blind study.
Step-by-step explanation:
Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.
Answer:
observational study
Step-by-step explanation:
the experimenters are not blind to their own tests.
!!HELP!! What is the rule for finding the distance of a point when the points are in the different Quadrants?
Answer:
You can find the distance between two points in different quadrants having the same x-coordinates by finding the sum of the absolute values of the y-coordinates.
Step-by-step explanation:
Change 5 - 2 into an addition problem using a change in sign and the additive inverse.
(Step 1: change the minus sign to a plus sign. Step 2: change the second number in the
problem to its opposite (additive inverse].)
9514 1404 393
Answer:
5 + (-2)
Step-by-step explanation:
starting with: 5 - 2
step 1: 5 + ( )
step 2: 5 + (-2)
At a lightbulb manufacturing plant, 2% of the lightbulbs are found defective. If the plant had 56 defective lightbulbs on a certain day, how many did it manufacture that day?
Answer:
2800 lightbulbs
Step-by-step explanation:
Divide 56 by 2% to cancel out the multiplication used to find the amount of defective lightbulbs.
-2x + 4>8 which number line shows the solution to the inequality
Answer:
The answer is D since it equals
x < -2
Answer:
Dw I gotchu. It's D because it' the most reasonable for this problem.
Are 9.91 and 9.0 equivalent decimals?
Answer:
no
Step-by-step explanation:
there is a difference between these two integers as 9.91 is 0.01 more then 9.0,
they are therefor not equivalent
Which expression would be easier to simplify if you used the associative property to change the grouping?
A. 85 + (120 + 80)
B. [-40 + (60)] + 52
C. (2 + 3/7) + 4/7
D. 4 + (1.2 + (-0.2))
Answer:
C
Step-by-step explanation:
In A and B, the numbers involved in expressions are integers.
Hence, they can be easily added or subtracted.
In C, the numbers involved in expression are fractions which are not grouped together.
They can be added but by using associative property, it becomes much more easier.
That is, grouping fractions.
Answer:C
Step-by-step explanation:
3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then
find AB
Answer:
AB = 8
Step-by-step explanation:
A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB
Step 1
Find x
BC = AB + AC
8x + 5 = 2x + 4 + 3x + 7
Collect like terms
8x - 2x - 3x = +4 + 7 - 5
3x = 6
x = 2
Step 2
Find AB
= AB= 2x + 4
AB = 2(2) + 4
AB = 4 + 4
AB = 8
∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.
Answer:
157 degrees
Step-by-step explanation:
A linear pair is 180 degrees.
180-33 = 157
Answer:
m∠1 = 147°
Step-by-step explanation:
Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.
180°-33°=147°
Hurry i need help!!!!!
Answer:
Sorry i would help but the paper is unclear
Step-by-step explanation:
Archaeologists are studying a shipwreck on the
ocean floor. The wreck site is roughly shaped like a
parallelogram. The archaeologists make a map of the
site in the coordinate plane. Each unit on the map
represents 1 m. According to the map, what is the
area of the wreck site?
The area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.
What is parallelogram?
In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Archaeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram.
From the table:
The vertex of the P is (9, 2)
The vertex of the Q is (-8, 2)
The vertex of the R is (-7, 7)
The vertex of the S is unknown
From the distance formula we can find the distance between points P and Q:
The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\rm PQ = \sqrt{(-8-(-9))^2+(2-2)^2}[/tex]
PQ = 17 units
[tex]\rm QR = \sqrt{(-7-(-8))^2+(7-2)^2}[/tex]
QR = 5.09 ≈ 5 units
The area of the wreck site = 17x5
The area of the wreck site = 85 square m
Thus, the area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.
Learn more about the parallelogram here:
brainly.com/question/1563728
#SPJ2
There are 5,000 sheets of paper in 25 boxes. if each
box contains the same number of sheets of paper, how many sheets of paper are in each box?
Answer:
200 sheets
Step-by-step explanation:
Divide 5,000 by 25 to get 200 sheets of paper per box.
Answer:
750 pieces of paper
Step-by-step explanation:
can't
Translate this equation into a verbal sentence.
4(a + b) = 9a
Answer:
Four times a plus b equals nine times a
Can anyone help me out? I need the answer and can you explain it! I’ll make brainlist thanks!
Answer:
3) Equation of line is: 5x-8y+34=0
4) Equation of line is: 5x+y+5=0
Step-by-step explanation:
3) Equation of line parallel to [tex]5x-8y+12=0[/tex] and through point (-2,3)
When two lines are parallel they have same slope.
Converting the given equation [tex]5x-8y+12=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]
[tex]5x-8y+12=0\\-8y=-5x-12\\y=-\frac{5x}{-8}-\frac{12}{-8}\\y= \frac{5x}{8}+\frac{3}{2}[/tex]
Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 5/8 which is slope of line.
Now, finding y-intercept using point (-2,3) and slope 5/8
[tex]y=mx+b\\3=\frac{5}{8}(-2)+b\\3=-\frac{5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}[/tex]
So, y-intercept is b= 17/4
The required equation is:
[tex]y=mx+b\\y=\frac{5x}{8}+\frac{17}{4}[/tex]
Writing in Standard form
[tex]y=\frac{5x}{8}+\frac{17}{4}\\y=\frac{5x+17*2}{8} \\y=\frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0[/tex]
So, Equation of line is: 5x-8y+34=0
4) Equation of line perpendicular to [tex]x-5y+2=0[/tex] and through point (-2,5)
When two lines are perpendicular they have opposite slope i.e m=-1/m.
Converting the given equation [tex]x-5y+2=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]
[tex]x-5y+2=0\\-5y=-x-2\\y=-\frac{x}{-5}-\frac{2}{-5}\\y= \frac{x}{5}+\frac{2}{5}[/tex]
Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 1/5 which is slope of given line.
Slope of required line will be: m=-1/m = -5
Now, finding y-intercept using point (-2,5) and slope -5
[tex]y=mx+b\\5=-5(-2)+b\\5=10+b\\b=5-10\\b=-5[/tex]
So, y-intercept is b= -5
The required equation is:
[tex]y=mx+b\\y=-5x-5[/tex]
Writing in Standard form
[tex]y=-5x-5\\5x+y+5=0[/tex]
So, Equation of line is: 5x+y+5=0
Divide: StartFraction 5 Over 8 EndFraction divided by three-fourths One-eighth StartFraction 5 Over 6 EndFraction Three-fourths 1 and one-half
Answer:
the answer is 5 over 6
Step-by-step explanation:
well, you Start the Fraction with 5 Over 8 and End the Fraction divide by three-fourths One-eighth Start the next Fraction 5 Over 6 and End the Fraction Three-fourths 1 and one-half and the answer is 5/6
In a graph the constant of proportionality is the y=____when x= ____
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
What is the slope through
the points (1,-2) and (2,-2)?
Answer: 0
Step-by-step explanation:
find the factor 12n-18
Answer:
Hope this helps!!!
Step-by-step explanation:
6(2−3)
Answer:
6(2n - 3)
Step-by-step explanation:
Draw a number line model to determine -16 + -0.7
Answer:
the answer is -16.7
Step-by-step explanation:
i did the math 16 + .7 =-6.7 answer -16.7
Consider the triangle.
The measures of the angles of the triangle are 32°, 53°, 95°. Based on the side lengths, what are the measures of each angle?
A)mAngleA = 95°, mAngleB = 53°, mAngleC = 32°
B)mAngleA = 32°, mAngleB = 53°, mAngleC = 95°
C)mAngleA = 43°, mAngleB = 32°, mAngleC = 95°
D)mAngleA = 53°, mAngleB = 95°, mAngleC = 32°
(Make sure to explain how you solved this problem and include things to remember when measuring angles like this. Thank you!)
Answer:
b
Step-by-step explanation:
edge 2020
If X is a normally distributed random variable with mean .30 and standard deviation .06 : (draw appropriate diagrams) a) Find P(X > .25) b) P(X < .10) c) How would you describe the largest 5% of all values of X?
Answer:
0.34 x 0.38
=0.1292
Step-by-step explanation:
Hopefully this helps, if not HMU and I will try my best to get you a better answer! :)
Good luck! <3
Find the opposite of each integer 0
Answer:
Thats not a full question.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Im only have 10 minutes please. Is math
what is the difference of (5,-4) (3,-11)
Answer:
-8
Step-by-step explanation:
PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST
Answer:
102
Step-by-step explanation:
1.2*85=102
Answer:
Step-by-step explanation:
A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas
B. If you are using the 102 pizzas:
65/102= 63.73% of the 102 pizzas so a decrease.
If you are going by the 85 pizzas:
65/85= 74.47% decrease from original 65 pizza