Answer:
a) z = 0.12
b) z = 0.52
c) z = 1.18
Step-by-step explanation:
The z values is the area under the curve lying to its left
a) Hence, P (Z<z) = 0.5478
Taking the value of z from the standard normal table, we get -
z = 0.12
b) P (Z<z) = 0.6985
Taking the value of z from the standard normal table, we get -
z = 0.52
c) P (Z<z) = 0.8810
Taking the value of z from the standard normal table, we get -
z = 1.18
Help me please I need it
Answer:
3
Step-by-step explanation:
ca l c
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation of $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
Answer:
A refund must be above $7,139 before it is audited.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7010, standard deviation = 43.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.
Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
3 standard deviations above the mean, so:
7010 + 3*43 = 7139.
A refund must be above $7,139 before it is audited.
A certain arithmetic sequence has this explicit formula for the nth term:
an = 12 + (n - 1)(5)
The same sequence has this recursive formula:
an = an-1
+
What number belongs in the blank space in the recursive formula?
A. 5
B. 12
о
C. 17
D. 4
Answer:
A. 5
Step-by-step explanation:
I assume the definitions are
an = 12 + (n-1)×5
an = an-1 + blank
if this is correct, then we have
a1 = 12
a2 = 12 + 5 = 17 = a1 + 5
a3 = 12 + 2×5 = 22 = a2 + 5
a4 = 12 + 3×5 = 27 = a3 + 5
...
we see, for an we need to add (n-1) times the number 5 to the initial a1 value.
so every new sequence number is larger by 5 than the previous one.
hence the answer.
Select the correct answer.
What is the solution for x in the equation?
-3x + 7x − 8 = 34 + 9x − 2
A.
B.
C.
D.
Answer:
-8
Step-by-step explanation:
-3x + 7x - 8 = 34 + 9x - 2
-3x + 7x - 9x = 34 - 2 + 8
-5x = 40|: (-5)
x = -8
[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢ - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
I need to find L. please help
Answer: 12.04 ft
Step-by-step explanation:
l = h² + r²
9² + 8²
81 + 64 = 145
√145 = 12.04
I hope this helps you.
Identify the quantifier in the statement as either universal or existential.
No men can join a sorority.
-The quantifier is universal.
-The quantifier is existential.
Answer:
The quantifier is universal.
Step-by-step explanation:
In logic, a universal quantifier is one in which it is made clear that the stated pattern holds in all cases for the stated quantity; whereas an existential quantifier establishes that the stated quantity is a minimum floor in which the stated pattern exists.
Thus, given that the guideline says that no man can integrate a sisterhood, this implies that the guideline applies in all cases for the stated quantity, thus it is a universal quantifier.
What is the slope of this non-vertical line?
Answer:
m= -2 -3
Step-by-step explanation:
What is 66.143 rounded to the nearest tenth?
QUICK
Answer:
66.1
Step-by-step explanation:
Answer:
66.1
Step-by-step explanation
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth’s place.
A. Sin(0)=0.6
B.Cos(0)=0.75
C.Tan(0)=1.3
D. Cos(0)=0.8
Answer:
its e
Step-by-step explanation:
find the area of the circle
Answer:
3.14 cm
hope this helps
have a good day :)
Step-by-step explanation:
All in standard Notation please :/ 2.09 x 10^5
9.4387 x 10^4
1.3 x 10^-3
9514 1404 393
Answer:
209,00094,3870.0013Step-by-step explanation:
Write the power of ten in standard form and do the multiplication.
2.09 × 10^5 = 2.09 × 100,000 = 209,000
9.4387 × 10^4 = 9.4387 × 10,000 = 94,387
1.3 × 10^-3 = 1.3 × 0.001 = 0.0013
Two similar
cylinders have
total Surface areas of
45cm² and 20cm². If the
larger has a mass of
81g. Find the mass of
the Smaller one
Answer:
The mass of the smaller cylinder is 36 grams.
Step-by-step explanation:
Given that two similar cylinders have total surface areas of 45cm² and 20cm², if the larger has a mass of 81g, the following calculation must be performed to determine the mass of the smaller one:
45 = 81
20 = X
(20 x 81) / 45 = X
1620/45 = X
36 = X
Therefore, the mass of the smaller cylinder is 36 grams.
Mariko needs about 18 wheelbarrows full of stone for her Japanese garden. Her wheelbarrow has vertical sides with the given shape and is 2 1/2 feet wide. How many cubic yards of stone should she order?
Answer:
I don't know yet haheuehehheejejejej
Look at the picture below?
Answer:
well, okay. its basically what you wrote. assuming there was missing information.
let's dive right into it.
we'll assume that the problem asks for integers, whole numbers.
if x would be 0,
we would get 9 numbers out, 0, -1, -2, -3, -4, -5, -6, -7 and -8
if x would one, the range would be from 7 to -8, giving us 16 numbers
if x would be 2, the range would be from 14 to -8, giving us 23 numbers (7 more each time we increasex by one)
so the answer isn't a fixed value, but a function.
7x+9
the plus nine is true when x=0 and is still relevant for every other scenario
A. -12 units
B. -8 units
C. 8 units
D. 12 units
Answer:
D. 12 units
Step-by-step explanation:
l6l+l-6l=12
add the absolute values.
Connor is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square Inches? 9 inches 2.5 inches A 4 inches 15 inches 5 inches 2.5 mches 25 nches The area in square inches is:
Answer:
87.5 square inches
Step-by-step explanation:
The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.
Area of the belt knuckle = area of the 4 triangles + area of the rectangle
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 9 inches
height (h) = 2.5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*9*2.5)
= 22.5 inches²
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 4 inches
height (h) = 5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*4*5)
= 20 inches²
✔️Area of the rectangle = l*w
l = 9 inches
w = 5 inches
Area = 9*5 = 45 inches²
✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches
I REALLY NEED HELP WITH THIS!!!! I WILL GIVE BRAINLIEST!!!!!!!!!
Consider the equation:
3+x=x^2+3x
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d or (x-c)^2=d
2) What are the solutions to the equation?
Answer:
1
[tex]3 + x = {x}^{2} + 3x \\ {x}^{2} + 2x - 3 = 0 \\ ( {x}^{2} + 2x + 1) - 3 - 1 = 0 \\ {(x + 1)}^{2} - 4 = 0 \\ {(x + 1)}^{2} = 4[/tex]
2
[tex] {(x + 1)}^{2} = 4 \\ x + 1 = ±2 \\ x = 1 \: or \: - 3[/tex]
Answer:
first answer is (x+1)^2=4 and the second one is x=-1 plus or minus 2
plz I'm timed this is the end of my school year plz answer correctly Which is equal to 22%? A. 22 B. 22 10 22 100 D. 22 1000 E, 2.2 100
Answer:
22/100
Step-by-step explanation:
Percent means out of 100
22% is equal to 22/100
Answer:
c
Step-by-step explanation:
Percentage is basically just the number over a hundred.
10% is 10/100 or 1/10
So we do the same thing with 22%
22/100
Question is in the image
Answer:
0.16
Step-by-step explanation:
6,357 + 18,219 + 15,205 = 39,781
6,357 ÷ 39,781 = 0.1597
rounded to nearest hundredth its 0.16
Find the indicated measure HELP!
If a > b, what can you say about the locations of a and b on the number line?
Answer:
If A > B (A is greater than B), A will be on the right side of B, and B will be on the left side of A on a number line.
Step-by-step explanation:
This is because as you keep on going right on a number line, the numbers keep getting greater. Same idea vise versa (left side gets lesser). Therefore, if A is greater than B, it will be to the right of B on a number line. Look below for an example:
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 g to 56 g (picture)
9514 1404 393
Answer:
3/7
Step-by-step explanation:
The fraction is ...
[tex]24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}[/tex]
Answer:
3 / 7
Step-by-step explanation:
Fraction :-
24 g to 56 g
= 24 g / 56 g
= 3/7 + 8 g / 8 g
= 3/7
4.37) A set of data whose histogram is extremely skewed yields a mean and standard deviation of 70 and 12, respectively. What is the minimum proportion of observations that
Answer:
75%
88.89%
Step-by-step explanation:
Given :
Mean = 70
Standard deviation = 12
Since the data is said to be extremely skewed, we apply Chebyshev's theorem rather than the empirical rule :
The minimum proportion of observation between 46 and 94
Chebyshev's theorem :
1 - 1 / k²
k = number of standard deviations from the mean
k = (94 - 70) / 12 = 24 / 12 = 2
Hence, we have ;
1 - 1/2²
1 - 1/4
1 - 0.25 = 0.75
Hence, The minimum proportion of observation between 46 and 94 is 75%
Between 36 and 106 :
k = (106 - 70) / 12 ;
k = 36/12 = 3
Hence,
1 - 1/3² = 1 - 1/9 = 8/9 = 0.8888 = 88.89%
The minimum proportion of observation between 34 and 106 is 88.89%
Simplify: a²b⁵c
______
a⁴bc³
Answer:
[tex] \frac{b ^{4} }{a ^{2}c ^{2} } [/tex]
Step-by-step explanation:
when dividing subtract the exponents
(x+3)^2+(y−4)^2=25
I need the center radius and diameter
Jack was 10 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
answer is Jack is 89 years old and Priscilla is 69 years old
Step-by-step explanation:
first you would do 158 / 2 and that would equal to 79 so you would have two 79s you would change the first 79 to 69 and you change the second one to 89
d)
In decimal system, 10 - 4 = 6. Write the binary equivalent of the
difference equation.
Answer:
1010 - 100 = 110
Step-by-step explanation:
10 = 1010
4 = 100
Please help me find the length of su
It takes an apprentice four times as long as the experienced plumber to replace the pipes under an old house. If it takes them 9 hours when they work together, how long would it take the apprentice alone?
Answer:
It takes an apprentice four times as long as the experienced plumber to replace the pipes under an old house. It takes them 14 hours when they work together.
Step-by-step explanation:
5/(4x) = 1/14
x = 35/2
The plumber takes x = 35/2 hours to replace the pipes alone.
The apprentice takes 4x = 70 hours to replace the pipes alone.
Juan's biscuit recipe calls for 1 ⅞ cup of milk. However, this recipe is for 18 servings. He needs to serve 6 people. How much milk does he now need?
Answer:
Ok I did this at lightning McQueen speed so it might be wrong, but I got 5/8
Step-by-step explanation:
Actually I checked it and now I'm 98% sure it's right
Answer:
0.9375 ths of a cup of milk