Answer:
$15.21
Step-by-step explanation:
THAT IS 13+ 17% but it depends if your supposed to round to the nearest
Simplify: a²b⁵c
______
a⁴bc³
Answer:
[tex] \frac{b ^{4} }{a ^{2}c ^{2} } [/tex]
Step-by-step explanation:
when dividing subtract the exponents
Please help me find the length of su
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.
Find the perimeter of this quarter circle with radius,
r
= 2mm.
Give your answer as an expression in terms of
π
.
Answer:
pi
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi*r
C = 2 * pi *2
C = 4pi
A quarter circle is 1/4 of a circle
1/4 C = 1/4 (4pi)
1/4C = pi
Help me please I need it
Answer:
3
Step-by-step explanation:
ca l c
A teacher introduces multiplication in class and starts with the first example:
1 x 2 = 2
Explain why this is a poor example by coming up with a wrong learning pattern (of 3 more
lines) based on the given example (being the first line)
A Fair Isaac Corporation (FICO) score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a FICO score over 700 considered to be a quality credit risk. According to Fair Isaac Corporation, the mean FICO score is 703.5. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 40 high-income individuals and found the sample mean credit score to be 714.2 with a standard deviation of 83.2. Conduct the appropriate test to determine if high-income individuals have higher FICO scores at the \alpha=0.05α=0.05 level of significance.
Solution :
Given :
Sample mean, [tex]$\overline x = 714.2$[/tex]
Sample size, n = 40
Standard deviation, s = 83.2
∴ The null hypothesis is [tex]$H_0 : \mu = 703.5$[/tex]
Alternate hypothesis is [tex]$H_a : \mu > 703.5$[/tex]
Test statistic :
[tex]$z = \frac{\overline x - \mu}{s / \sqrt n}$[/tex]
[tex]$z = \frac{714.2-703.5}{83.2 / \sqrt {40}}$[/tex]
z = 0.813
Now at α = 0.05, for a right tailed,
[tex]$z_{critical} = 1.645$[/tex]
Since, [tex]$z < z_{critical}$[/tex] , we fail to reject the null hypothesis.
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.
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
What is the slope of this non-vertical line?
Answer:
m= -2 -3
Step-by-step explanation:
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
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
fine t12 term in an arithmetic progression having t3=10 and t10=-4
✍ Having as t₃ =10 and t₁₀ = -4. We have to find the common ratio.
❑ If, in front of the sequence from 3 to 10, there are 7 numbers, that is, 7 terms, we have to find a pattern, what I used was this one.
[tex]\large {\text {$ \sf 7 \longrightarrow Number \: Terms $}}[/tex]
[tex]\large {\text {$ \sf x \longrightarrow rasion $}}[/tex]
We see that in the calculation, the only number that fits is -2.
➤ Because if we stop to think about it, we have -2 of common ratio among these 7 terms is -14, so 10-14 = -4
So the hypothesis is correct!
➜ Being right as -2 and resuming the terms of 10, we have:
[tex]\huge {\boxed {\blue {\sf t_{10}, t_{11}, {\bf t_{12}} = \{ -4 , -6 , \bf -8 \} } }}[/tex]
So t₁₂ is equal to -8.
⊱───────────⊰✯⊱────────⊰
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
Find the indicated measure HELP!
Jacob and Shawna are selling shirts and hats for a
school fundraiser. Jacob sold 1 hat and 7 shirts for a
total of $68. Shawna sold 4 hats and 14 shirts for a total
of $146. Find the cost of one hat and one shirt.
answer:
$9 for a shirt
$5 for a hat
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 magnitude of the vector v=<-1,3>.
√10
10
8
2√2
Answer:
√10
Step-by-step explanation:
Magnitude of a vector:
The magnitude of a vector v = <a,b> is given by:
[tex]|v| = \sqrt{a^2 + b^2}[/tex]
v=<-1,3>
Then:
[tex]|v| = \sqrt{(-1)^2 + 3^2} = \sqrt{1 + 9} = \sqrt{10}[/tex]
[tex]\sqrt{10}[/tex] is the magnitude of the vector.
5 = 500e^-0.00043(t)
t=10709.69810694
Hope this helps! :)
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.
61,229 rounding this
Kiara has 4 times as many crayons as markers. She has 80 crayons. How many markers does Kiara have?
Answer:
20
Step-by-step explanation:
80/4
20 markers
Doublecheck
as many crayons as markers means we need to divide crayons not multiply crayons
20*4=80
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%
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
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
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
The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2
Answer:
[tex]a_n = 9 - 2(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.
The nth term is given by the following equation:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
First term is 9 common difference is -2
This means that [tex]a_1 = 9, d = -2[/tex]
So, the nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = 9 + (n-1)(-2)[/tex]
[tex]a_n = 9 - 2(n-1)[/tex]
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
Plz help me algebra 2
9514 1404 393
Answer:
∠7 = 51°
∠8 = 129°
Step-by-step explanation:
All of the obtuse angles are congruent, as are all of the acute angles. The acute and obtuse angles are supplementary.
∠8 = ∠1 = 129°
∠7 = 180° -129° = 51°
_____
Additional comment
Technically, angles 1 and 8 are called "alternate exterior angles." As such, they are congruent. Angles 7 and 8 form a "linear pair." As such, they are supplementary.
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: