Answer: (97.63, 99.77)
Step-by-step explanation:
Given the data:
99.6 99.7 97.9 98.6 97.7
Using calculator, we can obtain the mean and standard deviation of the sample data:
Mean(m) = 98.7
Standard deviation = 0.93
Sample size (n) = 5
Using the relation to find confidence interval :
Mean ± Zcrit * (s/√n)
Zcrit at 99% = 2.576
98.7 ± 2.576 * (0.93 / √5)
Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)
Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)
(97.6, 99.8)
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Answer:
cscsc
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Chicken Nuggets.
Help plz! ^-^ will give brainliest!
4 + 1/3. and 4/5 + 1/3
Answer:
4 + 1/3 = 13/3
4/5 + 1/3 = 17/15
Step-by-step explanation:
Brain-List?
Answer:
1.) 4 1/3, 2.) 1 2/15
Step-by-step explanation:
4 + 1/3 is 4 1/3, I got this by adding the fraction to the whole number to make a mixed number. For 4/5 + 1/3, we need to find a common denominator, let's find the LCM (Lowest Common Multiple) of 3 and 5, the LCM is 15. Now, we need to multiply 1/3 by 5/5, and we need to multiply 4/5 by 3/3. This gets us 5/15+12/15. We only need to add the top numbers. This gets us 17/15. Since this is an improper fraction, we need to make it into a mixed number, this gets us 1 2/15. I hope this helps!
HELP ASAPP PLEASE!!!!!!!!!!!!!!
Answer:
I & III
Step-by-step explanation:
The distance Train A travels is represented by d = 90t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the rate of each train? Which train is going faster?
jsnsbsbwhevhehehdhdgevwggsvd ev what
1. Find x
2 find ab
3.Find bc
AC = 46
AB + BC = AC
(4x + 7) + (3x + 4) = 46
4x + 7 + 3x + 4 = 46
(4x + 3x) + (7 + 4) = 46
7x + 11 = 46
7x = 46 - 11
7x = 35
x = 35/7
x = 5
AB = 4x + 7
AB = 4(5) + 7
AB = 20 + 7
AB = 27
BC = 3x + 4
BC = 3(5) + 4
BC = 15 + 4
BC = 19
Rick had $20. He spent $10 on food, $6 on a movie ticket, and saved the rest.
( Pls answer both questions )
A. How much money did he save ?
B. What fraction of the total amount did he save ?
Answer:
He saved $4
1/5 of the total amount saved
Step-by-step explanation:
20 - 16 = 4
Solve 9 = 1 + 8x - 8.
OA) X= all real numbers
B) x = 2
OC) x = 8
OD) x= 10
find the other endpoint given endpoint (-10,7) midpoint (6,2)
Answer:
(22;-3)
Step-by-step explanation:
if to calculate the coordinates of the given midpoint it needed to use:
[tex]x_{midpoint}=\frac{x_{endpoint1}+x_{endpoint2}}{2};[/tex]
[tex]y_{midpoint}=\frac{y_{endpoint1}+y_{endpoint2}}{2};[/tex]
then to calculate the coordinates of endpoint2, it needed to perform the substitution:
[tex]\frac{-10+x_{endpoint2}}{2}=6,[/tex]
[tex]2=\frac{7+y_{endpoint2}}{2},[/tex]
finally:
[tex]x_{endpoint2}=22;[/tex]
[tex]y_{endpoint2}=-3.[/tex]
answer this and i’ll give you extra points
Answer:
Option (5)
Step-by-step explanation:
Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).
As shown in the graph,
Let the equation of the given line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, the given line passes through two points (0, -1) and (-1, 2)
Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{2+1}{-1-0}[/tex]
= -3
y-intercept 'b' = -1
Therefore, equation of the line will be,
y = -3x - 1
And the function is,
g(x) = -3x - 1
Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.
Followed by the shifting of parent function by 1 unit down.
Therefore, Option (5) is the answer.
if f(x) = -4x^2 - 5x + 2, what is f(3) ?
Serena and Stacey are professional hairdressers who work at two different beauty salons in the city. Serena works for 8 hours and earns $112 Stacey is paid $75 for 5 hours of work. Who makes more money per hour?
Answer:
The answer is stacy.
Step-by-step explanation:
if you do 112 divided by 8 you get 14
if you do 75 divided by 5 you get 15
Which street is parallel to 2nd St?
A. 1st St.
B. 3rd St.
C. 4th St.
Answer:
it a
Step-by-step explanation:
does anyone know how to do this geometry problem?
========================================================
Explanation:
Let's start with the exterior angle 116 degrees.
The interior angle adjacent to this will add to 116 and we'll get 180
(interior angle) + (exterior angle) = 180
(angle VWX) + (angle VWY) = 180
(angle VWX) + (116) = 180
angle VWX = 180 - 116
angle VWX = 64
-----------------
Let's focus solely on the interior angles of triangle VWX
We found angle W to be 64. Angle X is given to be 44. Angle V is unknown, but we can solve for it like such
V+W+X = 180
V+64+44 = 180
V+108 = 180
V = 180-108
V = 72
--------------
The three interior angles of triangle VWX are:
V = 72
W = 64
X = 44
This will determine the order of the side lengths from smallest to largest. Recall that the smallest side of a triangle is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle.
Based on those V,W,X angle values, we know that
WX = longest side (since the angle opposite V = 72 is largest)
VW = shortest side (since X = 44 is the smallest angle and it is opposite VW)
The order of the sides is therefore:
VW < VX < WX
We don't involve point Y because it's not part of the triangle.
Check out the diagram below for a visual summary.
The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue
Answer:
5/9
Step-by-step explanation:
The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue
From the above question, we are given the ratio
Green counters: Blue counters
4 : 5
The sum of the proportion = 4 + 5 = 9 counters
Hence, the fraction of the counters are blue is given as 5/9
Write the equation of the line that passes through the points
(−7,−3)and (−2,−1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-3)/(-2)-(-7)
m=2/5
y-y=m(x-x¹)
y-(-1)=2/5(x-(-2)
y+1=2/5x+4/5
-1 -1
y=2/5x-1/5
What is the equation 63=9j ?
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
63-(9*j)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
63 - 9j = -9 • (j - 7)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : j-7 = 0
Add 7 to both sides of the equation :
j = 7
solved
j = 7
Use a single digit times a power of 10 to estimate the number 0.00004167.
Rounded to the nearest hundred thousandth, the number 0.00004167 is
x 10
Written as a single digit times a power of ten, the estimate is
(Type whole numbers.)
Answer:
a. [tex]0.00004167 = 0.00004[/tex]
b. [tex]4* 10^{-5}[/tex]
Step-by-step explanation:
Given
[tex]0.00004167[/tex]
Solving (a): Round to the nearest hundredth thousandth
This means there would be 5 digits after the decimal.
So:
[tex]0.00004167 = 0.00004[/tex] -- (approximated)
(b) Express in standard form
A number in standard form has the following format;
[tex]a * 10^b[/tex]
Where
[tex]1 \leq a \leq 10[/tex]
So:
[tex]0.00004167[/tex]
becomes
[tex]4.167 * 10^{-5}[/tex]
This is because the decimal point was moved 5 places backwards
Approximate 4.167 to nearest integer; We have:
[tex]4* 10^{-5}[/tex]
Micheal has a total of 15 bills that are either 1$ bills or 5$ bills. If the total amount of money he has is 47$, how may 5$ bills does he have?
Answer:
Micheal has 8 $5 bills and 7 $1 bills.
Answer:
micheal has 8 5$ bills and 7 1$ bills
Step-by-step explanation:
8 x 5 = 40
7 x 1 = 7
40 + 7 = 47
8 + 7 = 15
What calculation would need to be done to solve the following equation:
2x = 26
Answer:
13
Step-by-step explanation:
Answer:
Divide both sides by 2
Step-by-step explanation:
you need to isolate "x" which has a coefficient of 2 so to get rid of that you divide by two
2x=26
x-13
Find the distance between the points (-3, -6) and (5,9).
Hint: Use the Pythagorean theorem.
Answer:
The distance between the points (-3, -6) and (5, 9) is 15 units.
Step-by-step explanation:
Given the points
(-3, -6)(5, 9)First, we need to find the distance between the two x-coordinates. For this, we need to count the distance from 0 to another point. Then we just add them together.
i.e.
-3 to get to 0 takes 3 units
0 to 5 takes 5 units
3+5=8 units
Just do the same for y-coordinate
From -6 to 0 takes 6 units
0 to 9 takes 9 units
6+9 = 15 units
Therefore, we get the base and height.
Now using the Pythagoras' Theorem to find the distance:
c² = 8² + 15²
c² = 289
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]c=\sqrt{289},\:c=-\sqrt{289}[/tex]
[tex]c=17,\:c=-17[/tex]
As the distance can not be negative.
so
c = 15 unitsThus, the distance between the points (-3, -6) and (5, 9) is 15 units.
which numbers are rational A)-4.34
B)0.43222
C)7.234156
Answer:
C
Step-by-step explanation:
The other 2 aren't rational numbers
I am not completely confident in my answer, so lmk if it's right
The ratio of boys to girls in a choir is
3 to 8. There are 32 girls in the choir. How many
members are in the choir?
Answer:
there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12
Step-by-step explanation:
Answer:
44 members
Step-by-step explanation:
Because to find out the number of members first you have to find out the number of boys in choir
Divide total number of girls (32) by ratio number (8) and you get 4
Multiply the 4 you got by the ratio of boys (3), you get 12 when you multiply these together
Add the total number of boys in choir (12) and number of girls (32) and you get 44 members!
Good day to you and I hope you like my explination.
Find the missing value
The first 5 terms of a sequence are shown below:
3, -2, -7, -12, -17
Which expression can be used to find the nth term?
Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =
[tex]T_2-T_1 \\ - 2 - 3 \\ = - 5[/tex]
Common ratio =
[tex]T_2/T_1 \\ \frac{ - 2}{3} [/tex]
The common difference applies to the other given numbers for example :
[tex]T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5[/tex]
this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
Help plz the problem is in the photo
Answer:
25 = 50%
37.50 = 75%
75 = 150%
Step-by-step explanation:
We know that 50 is 100% so we can work with that.
We also know the percentages increase by 25% for every $12.5.
12.50 + 12.50 = 25
25 + 12.50 = 37.50
62.50 + 12.50 = 75
25 = 50%
37.50 = 75%
75 = 150%
I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Georgia bought pears for $6.14. The price of pears is $1.10 per pound. How many pound of pears did she buy? (Round your answer to the nearest hundreths place. )
Answer:
5.58
Step-by-step explanation:
Given f(x) =5 - 3x, if f(x) = -19, find x
Help me please i beed this now
Answer:
well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.
Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm