Answer:
12 + 7 = 19
19 + 10 = 29
answear = 29
can someone help me with this I am stuck
why is angle 3 congruent to angle 7?
Answer:
they are congruent because they are corresponding angles
Step-by-step explanation:
An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 61% C: Scores below the top 39% and above the bottom 20% D: Scores below the top 80% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Solution :
The test is distributed normally with mean of 72.8 and the standard deviation of 7.3
Finding numerical limits for the D grade.
D grade : Scores below the top 80% and above the bottom 10%.
Let the bottom limit for D grade be [tex]$D_1$[/tex] and the top limit for D grade be [tex]$D_2$[/tex].
First find the bottom numerical limit for a D grade is :
[tex]$P(X<D_1)= 0.10$[/tex]
[tex]$P(X\leq D_1)= 0.10$[/tex]
[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$[/tex]
[tex]$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$[/tex] ..........(1)
From (1)
[tex]$\frac{D_1 - 72.8}{7.3} = -1.28$[/tex]
[tex]$D_1 = -1.28(7.3)+72.8$[/tex]
= 63.45
≈ 64
Now the top numerical limit for D grade :
[tex]$P(X>D_2)= 0.80$[/tex]
[tex]$1-P(X\leq D_2)= 0.80$[/tex]
[tex]$P(X\leq D_2)= 1-0.80$[/tex]
[tex]$P(X\leq D_2)= 0.20$[/tex]
[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$[/tex]
[tex]$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$[/tex] ..........(2)
From (2)
[tex]$\frac{D_2- 72.8}{7.3} = -0.84$[/tex]
[tex]$D_12= -0.84(7.3)+72.8$[/tex]
= 66.668
≈ 67
Therefore, the numerical limit for a D grade is 64 to 67.
The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula
Answer:
a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b) 0.033
Step-by-step explanation:
Let Y represents the number of judges preferring a formula.
There are total four judges and each judge can select either A or B
n = 4, p = 1/3
a) The probability function is
[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b)
Substituting the value of y -3 in above equation, we get -
[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]
Write an equation in the form y = mx + b
Answer:
y=-2x+8
Step-by-step explanation:
So I select 2 points:
(0,8) and (4,0)
so then I find the slope.
m = [tex]\frac{8-0}{0-4} \\=\frac{8}{-4} \\=\frac{2}{-1} \\=-2[/tex]
m = -2
Then the b (y-intercept) is 8, so equation is:
y=-2x+8
Hoped I helped ([P.S. I love math!)
is this right ? if not please help me !
ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
emmanuel spent 20% on his savings on a new video game that cost 40$. how much was in his savings abount to begin with?
Answer:
He had $200 to begin with.
Help ?? Anyone and how
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
78.53981... to the one decimal place
Can you help with this I don’t know how to solve this.
Answer:
[tex]arclength = 13.44 ft[/tex]
Step-by-step explanation:
We are given PS = 28 feet, which is the length of the diameter.
The formula for arc length is [tex]2\pi r\frac{x}{360}[/tex], where x is the degrees.
So, we need to find the radius. We know that the radius is half of the diameter, so:
[tex]\frac{28}{2}=14 ft[/tex]
We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:
∠PXT + ∠TXS = 180
125 + ∠TXS = 180
∠TXS = 180 - 125
∠TXS = 55°
Now, we can use the arc length formula:
[tex]arclength=2\pi r\frac{x}{360}[/tex]
[tex]arclength=2\pi (14)\frac{55}{360}[/tex]
[tex]arclength=13.43903524...[/tex]
[tex]arclength = 13.44 ft[/tex]
Check my work to make sure! Hope this helps!
what does it mean to be a solution to an inequality
Answer:
Rule 1. Adding/subtracting the same number on both sides.
Example: The inequality x-2>5 has the same answer as the inequality x > 7.
Rule 2. Switching sides and changing the orientation of the inequality sign.
Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 - x.
Done ✔
The ratio of 7/36 to 5/6
Answer:
7 : 30
Step-by-step explanation:
7/36 : 5/6
42 : 180
7 : 30
Joel races bikes. In his city, there are 4 4 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A 1 4 4 1 B 3 2 2 3 C 1 3 4 1 4 3 D 4 4 4 4 Joel races 3 3 laps in the same lane. The total distance he races is less than 3 3 miles. Which track does Joel race on?
So if Joel raced 3 laps , and the total distance is less then 3 miles then it has to be Track C.
PLS HELP ILL GIVE BRAINLIEST
Answer:
y= 2/7
b= 43
Step-by-step explanation:
I have no idea what to do
Answer:
the second is correct
Step-by-step explanation:
choose as brainliest
si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?
Answer:
y cuál es la cantidad inicial de platos?
Can someone please help me
Answer:
x = 20
y = 12
Step-by-step explanation:
opposite angles are congruent so we can set up this equation:
5x + 29 = 7x - 11
29 = 2x - 11
40 = 2x
x = 20
5(20) + 29 = 129
7(20) - 11 = 129
3y + 15 = 5y - 9
15 = 2y - 9
24 = 2y
y = 12
3(12) + 15 = 51
5(12) - 9 = 51
my question is in the picture
Answer:
x = 1
y = -1
Step-by-step explanation:
-5x + 5y = -10
rewrite the order:
5y = 5x - 10
6x + 5y = 1
rewrite the order:
5y = 1 - 6x
substitute for 5y:
5x - 10 = 1 - 6x
simplify:
11x = 11
x = 1
5y = 1 - 6(1) = -5
y = -1
Is the sum of the
angle measures always equal to the
sum of the arc measures
Yes or no ?
Which number line best represents the solution to the inequality 7x ≤ 49 ?
Step-by-step explanation:
uedhhhjdjdhdhdddjjdhvdhddbdbddbb
Answer:
A
Step-by-step explanation:
im not 100 % sure hope i am correct
math HELPPP MEEEEEEEE
Answer: I HAVE YOUR ANSWER!!!!!
Step-by-step explanation:
51x + 26y + 17
Can someone please help meeeee
Answer:
it will also measure 131 degree
hope it helps
131 degree
find the value of b in rectangle
The graph shows a proportional relationship. Which equation matches the graph.
A. y = 1/5x
B. y = x
C. y = 15x
D. y = 5x
Answer:
D
Step-by-step explanation:
When x = 1, y = 5
When x = 3, y = 15
So, using this, find the slope.
(15 - 5) / (3 - 1) = 10 / 2 = 5
For every x, y increases by 5.
So, y = 5x, or D
Answer:
D
Step-by-step explanation:
5x
Use the triangle below to answer the following questions:
Car X traveled 64 miles and consumed 2 gallons of fuel, and Car Y traveled 54 miles and consumed 1.8 gallons of fuel. Which car traveled more miles per gallon?
Answer:
cStep-by-step explanation:
Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *
Answer:
Step-by-step explanation:
Hindi ko alm hehe
Use the multiplier method to decrease £56 by 14% show your working
Answer: £46.44
Step-by-step explanation:
£56 × 0.86 or (1 - 0.14)
Analyze the diagram below and complete the instructions that follow. The diagonals of kite KITE intersect at point P.
A.16 B.26 C.52 D.71
how do u find the angle measure of l
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.