Answer:
an = a1 + d (n - 1)
aⁿ = a₁ˣ⁻1
The scores on a psychology exam were normally distributed with a mean of 52 and a standard deviation of 6. About what percentage of scores were less than 40?
Using the normal distribituion, it is found that 2.28% of of scores were less than 40.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively:
[tex]\mu = 52, \sigma = 6[/tex].
The proportion of scores that were less than 40 is the p-value of Z when X = 40, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 52}{6}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
2.28% of of scores were less than 40.
More can be learned about the normal distribituion at https://brainly.com/question/24663213
Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?
Answer:
6 students
Step-by-step explanation:
Let x = number of students
Let y = total number of pens
Given:
If each student gets 5 pens, no pens will be left⇒ 5x = y
Given:
If each students gets 3, 12 pens will be left.⇒ 3x = y - 12
Substitute 5x = y into 3x = y - 12 and solve for x:
⇒ 3x = 5x - 12
⇒ 12 = 5x - 3x
⇒ 2x = 12
⇒ x = 6
Therefore, there are 6 students.
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answer:
x=3,2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
Step-by-step explanation:
Sum = coefficient of x = -5
Product = constant * coefficient of x² = 1 * 6 = 6
Factors = (-2) , (-3)
When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5
Using this factors rewrite the middle terms
x² - 5x + 6 = 0
x² - 3x - 2x + (-2)*(-3) = 0
x(x - 3) - 2(x - 3) = 0
(x - 3)(x-2)=0
x - 3 = 0 ; x -2 =0
x = 3 ; x = 2
Solution: x = 2 , 3
A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water shoul
used with 2 cups of sugar?
Answer:
6 Cups
Step-by-step explanation:
3 cups of sugar to 9 cups of water
1 cups of sugar : 3 cups of water
2 X 3 = 6
Help help help help help
Answer:
49.12
Step-by-step explanation:
Area of triangle =1/2 x b x h
=24
semi circle =(pie rxr)divuded by 2
=25.12
so, 25.12 +24=49.12
A coffee shop recently sold 12 drinks, including 5 Americanos. Considering this data, how many of the next 96 drinks sold would you expect to be Americanos?
40 America-nos
Explanation:
5 America-nos : 12 drinks5 : 12make proportional equation
5/12 = A/96A = 40Answer:
40 AmericanosStep-by-step explanation:
Use ratios
5/12 = x/96Solve for x
x = 96*5/12x = 40What is the volume of this figure?
Enter your answer in the box.
yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.
Answer:
the answer is 4095
Step-by-step explanation:
Answer: 4095
Step-by-step explanation: that one person was right
with proof
Consider the function RX) = 3x + 1 and the graph of the function g(x) shown below.
у
4
6
4
2
X
-6 -4
- 2
12
4
6
-2
4
6
The graph g(x) is the graph of f(x) translated
✓ units
✓, and g(x) =
Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
what is the sum of the factors for the number 18
Answer: 39
Step-by-step explanation:
The factors of 18 are: 1, 2, 3, 6, 9, 18
Add them together, and you get your answer.
After 2 years, a certain car is worth $16600. When it is 9 years old, the same car is then worth
$9950.
Find the equation of the line in this situation.
Identify the slope for this situation and interpret it.
Identify the y - intercept for this situation and interpret it.
Identify the x - intercept for this situation and interpret it.
The linear function that describes the situation is:
y = -950x + 18500.
The slope of -950 means that the price of the car decays $950 per year.The y-intercept of 18500 means that the initial value of the car is of $18,500.The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:
m = -6650/7 = -950.
The slope of -950 means that the price of the car decays $950 per year.
Then, the equation is:
y = -950x + b.
After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:
16600 = -950(2) + b
b = 18500.
The equation is:
y = -950x + 18500.
The y-intercept of 18500 means that the initial value of the car is of $18,500.
The x-intercept is found when y = 0, hence:
-950x + 18500 = 0.
x = 18500/950
x = 19.47.
The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.
More can be learned about linear functions at https://brainly.com/question/24808124
what is 10 1/2 minus 5 2/3
write as a mixed number and reduce to lowest terms
Answer:
4 5/6
Step-by-step explanation:
10 1/2 - 5 2/3
5 3/6- 4/6
4 9/6-4/6
4 5/6
need help with math problm i give 5 star and brainly point
Answer:
59.5 here 4 minute late but i hope it helps
Step-by-step explanation:
1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х
Answer:
mm what's that?
Step-by-step explanation:
wala akong pake char
In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y
The angles m∠x = m∠y because alternate interior angles are equal.
What is a parallelogram?A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.
The opposite angles are also congruent, whereas consecutive interior angles are supplementary.
In the quadrilateral ABCD:
m∠x = m∠y (alternate interior angles are equal)
The angles m∠x = m∠y because alternate interior angles are equal.
Find out more on parallelogram at: https://brainly.com/question/970600
Write the fraction in simplest form.
12x^2/28x
Answer: (-6x - 5) • (2x + 3)
Step-by-step explanation:
((0 - (22•3x2)) - 28x) - 15
Pull out like factors :
-12x2 - 28x - 15 = -1 • (12x2 + 28x + 15)
Trying to factor by splitting the middle term
3.2 Factoring 12x2 + 28x + 15
The first term is, 12x2 its coefficient is 12 .
The middle term is, +28x its coefficient is 28 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 12 • 15 = 180
Step-2 : Find two factors of 180 whose sum equals the coefficient of the middle term, which is 28 .
-180 + -1 = -181
-90 + -2 = -92
-60 + -3 = -63
-45 + -4 = -49
-36 + -5 = -41
-30 + -6 = -36
-20 + -9 = -29
-18 + -10 = -28
-15 + -12 = -27
-12 + -15 = -27
-10 + -18 = -28
-9 + -20 = -29
-6 + -30 = -36
-5 + -36 = -41
-4 + -45 = -49
-3 + -60 = -63
-2 + -90 = -92
-1 + -180 = -181
1 + 180 = 181
2 + 90 = 92
3 + 60 = 63
4 + 45 = 49
5 + 36 = 41
6 + 30 = 36
9 + 20 = 29
10 + 18 = 28 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 10 and 18
12x2 + 10x + 18x + 15
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x+5)
Add up the last 2 terms, pulling out common factors :
3 • (6x+5)
Step-5 : Add up the four terms of step 4 :
(2x+3) • (6x+5)
Which is the desired factorization
Answer: (-6x - 5) • (2x + 3)
Help picture below problem
Answer:
∠s = ∠v
Step-by-step explanation:
Supplementary angles add up to 180°
∠s + ∠v = 180
90 + ∠v = 180
∠v = 180 - 90
∠v = 90°
⇒∠s ≅ ∠v
I HAVE ATTACHED THE QUESTION
Answer:
x=1.5 and x= -1.5
Step-by-step explanation:
thats where the graph crosses the x axis (which basically is y=0)
Answer:
Step-by-step explanation:
x² - 2 = y
x² - 2 = 0
x² = 2
x = √2
x = ±1.4
Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and 100 Km in the 3rd hour .Find his speed in the 4th hour ?
Answer:
I would say 120 but that could be also be wrong but ill go with 120
99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.
What is the MAD (mean absolute deviation) rounded to the nearest tenth?
1.1
1.3
2.3
3.0
Answer: 1.1
Step-by-step explanation:
To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:
1 - 3 = -2 -> |-2| = 2
2 - 3 = -1 -> |-1| = 1
2 - 3 = -1 -> |-1| = 1
3 - 3 = 0
4 - 3 = 1
4 - 3 = 1
5 - 3 = 2
-
[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]
[tex]\frac{8}{7}[/tex]
1.14
The mean absolute deviation is about 1.1
The number 28,363,775 rounded to the nearest ten thousand is
Answer:
50,000
Step-by-step explanation:
Just put it in the answer lol :p
Answer:
28,360,000
Step-by-step explanation:
The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.
please give brainliest!
Please help me understand the problem
Answer:
y = 60 :)
Step-by-step explanation:
Triangle angle total measure: 180
We need to add upp the angles we know and subtract from the total 180, so we can figure out y.
60 + 60 + y = 180
120 + y = 180
180 - 120 = 60
y = 60
Now you know how to solve this type of problem!
Have a great day!!
Please rate and mark brainliest!!
Answer:
The value of y should be 60
Step-by-step explanation:
Tell me if its not right
i know the answers but my calculations won't provide them and i need to know what work to show
the answers are
a) x^2+7x+10
b) x^2-x-6
[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
1a) (x + 2)(x + 5)
⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)
⇒ (x²) + (5x) + (2x) + (10)
⇒ (x²) + (5 + 2)x + (10)
⇒ (x²) + (7)x + (10)
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
1b) (x + 2)(x - 3)
⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)
⇒ (x²) + (-3x) + (2x) + (-6)
⇒ (x²) + (-3 + 2)x + (-6)
⇒ x² + (-1)x - 6 = x² - x - 6
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
a/-3=18 what does a equal?
Answer:
I believe a is equal to -54
How do I solve it? URGANT!!!
Answer:
Step-by-step explanation:
KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L
KL is a tangent line, so ∠JKL = 90°,
so m∠J = 45°
Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?
Answer:
47.5%
Step-by-step explanation:
3.8/8.0 x 100
= 47.5%
Uncle Jack used 47.50 percent of the wood he cut to create the shelf.
What is the percentage?The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.
Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,
P = (3.8 / 8) x 100
P = 0.475 x 100
P = 47.50%
The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ7
Lyle creates a peach dye by mixing 8 ounces of white dye with 5 ounces of orange dye. He wants to know how much orange dye he needs to use if he needs a total of 195 ounces of peach dye.
Answer: 121.875 ounces of orange dye
Step-by-step explanation: 8 ÷ 195 = 24.375
24.375 x 5 = 121.875
Arrange the following from greatest to least value, 20% of 100, 20% of 500, 5% of 100 justify your reasoning
Answer:
20% of 500, 20% of 100, 5% of 100
Step-by-step explanation:
20% of 100 = 20
20% of 500 = 100
5% of 100 = 5
Tara will draw a scale model of the garden
she wants to plant. Her scale will be 1 cm. =
2.5 ft.
4 cm.
8.5 cm
What will be the actual dimensions of Tara's
garden?
A. 1.6 ft. by 3.4 ft.
B. 4 ft. by 34 ft.
C. 8 ft. by 34 ft.
D. 10 ft. by 21.25 ft.
Pls explain how u got the answer!
Answer:
D.
Step-by-step explanation:
We know that each centimeter is equal to 2.5 feet. The way I solved it was this.
We start with the 4cm. We can multiply 4×2.5, and that gives us 10 feet. We can do 8.5×2.5, and that will equal 21.25 feet. So the final and correct answer is D. 10 feet by 21.25 feet
pls answer the blanks
Answer:
mention the blanks please...if u mention iam ready to answer
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the
sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14
for
The surface area of the sphere is about yd?.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
76,400
Step-by-step explanation:
I think this is right, not sure though.
Surface area of sphere:
[tex]4\pi \times r {}^{2} [/tex]
Circumference :
[tex]2(\pi \times r)[/tex]
489.84 = 2 × 3.14 × r
2 × 3.14 = 6.28
489.84 = 6.28 × r
radius = 489.84 ÷ 6.28
R =78
Surface Area = 4 × 3.14 × (78)^2
Surface area = 76,415.04
= 76,400