Step-by-step explanation:
= 2x +b
Use the given point (2, 5)
5 = 2(2) +b
b = 5 -4 = 1
The equation of the line is
y = 2x +1
Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept
simplify the expression.
64 7/12
a. 16
b. 8squareroot 2
c. 4 square root 2
d. 32
Answer:
B. 8 square root 2 is the answer.
stats
i’ll mark brainlist !!
Answer:
2, 13, 17.5, 35, 59
Step-by-step explanation:
Minimum, quartile Q1, median, quartile Q3, maximum
Evaluate: (11 × 12 )−(−6 × 70)
Answer:
552Step-by-step explanation:
(11 × 12 ) − (−6 × 70)= 132 - (420)= 132 + 420= 552[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Use a statistics calculator to find the area, in decimal form, rounded to four places after the decimal, under the (standard) Normal histogram and... (a) ...to the left of 1.8. (b) ...to the right of 2.4. (c) ...between 1.8 and 2.4.
Answer:
a) 0.9641.
b) 0.0082
c) 0.0277
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
(a) ...to the left of 1.8.
p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.
(b) ...to the right of 2.4.
1 subtracted by the p-value of Z = 2.4.
Looking at the z-table, Z = 2.4 has a p-value of 0.9918.
1 - 0.9918 = 0.0082, which is the answer.
(c) ...between 1.8 and 2.4.
p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.
From itens a and b, we have both. So
0.9918 - 0.9641 = 0.0277
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles
Answer:
[tex]0.98268[/tex]
Step-by-step explanation:
We are given that
Mean, [tex]\mu=3408[/tex]miles
Variance, [tex]\sigma^2=249001[/tex]
We have to find the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles.
n=36
[tex]P(|\bar{x}-3408}|<198)=P(3408-198<\bar{x}<198+3408)[/tex]
=[tex]P(3210<\bar{x}<3606)[/tex]
=[tex]P(\frac{3210-3408}{\sqrt{\frac{249001}{36}}}<\frac{\bar{x}-\mu}{\sqrt{\frac{variance}{n}}}<\frac{3606-3408}{\sqrt{\frac{249001}{36}}}[/tex]
[tex]=P(-2.38<Z<2.38)[/tex]
[tex]=P(Z<2.38)-P(Z<-2.38)[/tex]
[tex]=0.99134-0.00866[/tex]
=[tex]0.98268[/tex]
Hence, the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles=[tex]0.98268[/tex]
What is the value ? 10-8,10-2,10-12,10-14,10-25
Item 7 Aja's cat weighs 12 pounds. Bo's dog weighs 4 times as much as Aja's cat. How much does Bo's dog weigh?
Answer: 12x4= 48 so 48
Step-by-step explanation:
Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c.
x+4+y/8
20.48=8v
Solve for v
Answer:
2.56
Step-by-step explanation:
Divide 20.48/8
I hope this helped!
this table shows somes elements of a function. which ewuation is most likely a rule for the function? pls help i’ll give brainliest
9514 1404 393
Answer:
G. f(x) = x² -3x -1
Step-by-step explanation:
You can try the first line of the table in each of the functions to see which one works.
F. -(-2) -1 = 1 ≠ 9
G. (-2)² -3(-2) -1 = 4 +6 -1 = 9 . . . . this one works
H. (-2)² -2(-2) -1 = 4 +4 -1 = 7 ≠ 9
J. 2(-2)² -1 = 8 -1 = 7 ≠ 9
need help with this math problem
Answer: D) The value of [tex]\sqrt{215}[/tex] is between 14.5 and 15
Step-by-step explanation:
Let's start by taking the squaring these numbers.
[tex]13^2=169\\13.5^2=182.25\\14^2=196\\14.5^2=210.25\\15^2=225[/tex]
215 is in between 14.5 squared and 15 squared. That means its square root will be between 14.5 and 15.5
Find the relation independent of y for the following equation
y^2-2y+1 = 0
-y^2+3y+m =0
Answer:
m=−2,y=1
Step-by-step explanation:
How do you Solve this system of equations:
y=2x-1
4x+3y=7
Answer:
(1, 1)
Step-by-step explanation:
I've attached a picture above. Do tell me if you're still confused. This is just one of many methods
Answer:
(1,1)
Step-by-step explanation:
See the steps below:)
you earn $30 for washing 5 cars.how much do you want for washing 3cars
Answer:
$18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
30/5 = 6
6x3 = 18
5(7+3) {Sorry I’m asking so many questions but I’m really struggling with my home work}
Answer:
50
Step-by-step explanation:
7+3=10. So imma turn ten into t. 5t=5xt. So 5 times 10. 50.
Hope I helped!
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]5(7 + 3) \\ = 5 \times 7 + 5\times 3 \\ = 35 + 15 \\ = 50[/tex]
Which are solutions of the equation x^2-16=0? Check all that apply.
Answer:
+4, -4
Step-by-step explanation:
There are only two solutions to this equation.
=> x^2 - 16 = 0
=> x^2 - 4^2 = 0
=> (x+4) (x-4) = 0 {According to a^2 - b^2 = (a+b) (a-b)}
=> x = 4, -4
Answer:
x = 4
x = - 4
Step-by-step explanation:
Method 1: Quadratic Formula
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
x² - 16 = 0
a = 1
b = 0
c = - 16
[tex]x=\frac{-(0)±\sqrt{0^{2} -4((1)(-16))} }{2(1)}[/tex]
[tex]x=\frac{0±\sqrt{0 -4((1)(-16))} }{2(1)}[/tex]
[tex]x=\frac{0±\sqrt{0 +64} }{2(1)}[/tex]
[tex]x=\frac{0±\sqrt{64} }{2}[/tex]
[tex]x=\frac{0±8 }{2}[/tex]
Two separate equations
One must have a + (positive) and the other will have a - (negative).
[tex]x=\frac{0+8 }{2}[/tex]
[tex]x=\frac{8 }{2}[/tex]
x = 8 ÷ 2
x = 4
[tex]x=\frac{-8 }{2}[/tex]
x = - 8 ÷ 2
x = - 4
Method 2: Factoring
x² - 16 = 0
(x - 4)(x + 4) = 0
Two separate equations
x - 4 = 0
x + 4 = 0
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4
x + 4 = 0
x + 4 - 4 = 0 - 4
x = - 4
A teacher kept track of the shirt colors her students were wearing on Wednesday. The results of her observations are shown in the table below.
What is the P(blue shirt | girl)? Write your answer as a decimal.
Answer:
.321428571
Step-by-step explanation:
P(blue shirt | girl)
This means what is the probability of a blue shirt given that we have a girl
There are 56 girls and 18 girls wearing blue shirts
P(blue shirt | girl) = girls in blue shirts / girls
= 18/56
=.321428571
Which of the expressions are equivalent to the one below? Check all that
apply.
3 x (7+2)
Triangle ABC is a right triangle.
The lengths of one leg is 60 feet, and the hypotenuse is 61 feet.
What is the length, in feet, of the other leg?
Answer:
Hello! answer: 11
Step-by-step explanation:
60 × 60 = 3600
11 × 11 = 121
3600 + 121 = 3721
√3721 = 61
therefore 11 is the missing leg Hope that helps!
what is the value of my in 7=1/4m?
Step-by-step explanation:
m is
[tex] \frac{1}{28} [/tex]
for a rectangle, which of the following are true?
Answer:
Step-by-step explanation:
A: not the answer. It would be for a square or rhombus.
B: True
C: True
D: True
E: True
F: No this one is false. Consecutive sides means 1 length and 1 width. If they are congruent, you have a square or rhombus, but not a rectangle.
What is the product of the binomials below?
(5x + 2)(4x + 4)
A. 20x2 +28x+6
O B. 20x2+28x+8
O C. 9x2 +28x+6
O D. 9x2 +28x+8
Step-by-step explanation:
everything can be found in the picture
The top of an 18-foot ladder touches the side of a building 14 feet above the ground. Approximately how far from the base of the building should the bottom of the ladder
be placed?
Answer:
Assuming that ladders should be placed at an 75° angle, let's translate it into a slope of 3.732 of a line (looked the value up, was too lazy to calculate it)
the distance from the orign in the picture is your answer, and one side of a triangle formed by the wall, the ground and the ladder
Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points) y = (x-4)2-8
Answer:
The description is that the function was translated 4 units to the right and 8 units down.
Step-by-step explanation:
Translations:
Translating a function f(x) a units to the right is the same as finding f(x - a).
Translating a function f(x) a units to the left is the same as finding f(x + a).
Translating a function f(x) a units up is the same as finding f(x) + a.
Translating a function f(x) a units down is the same as finding f(x) - a.
y= x² to y = (x-4)²-8
First at the domain, x becomes x - 4, so f(x) becomes f(x - 4), that is, the function was translated 4 units to the right.
Then the function is subtracted by 8, that is, it was translated 8 units down.
The description is that the function was translated 4 units to the right and 8 units down.
Help plz I will give Brainlyest
Arrange the steps to solve this system of linear equations in the correct sequence x+y=-2 2x-3y=-9
there you go the correct ans
If you help me and explain to me how you got you’re answer you get Brainly
Answer:
KRM = 44 degrees, MRD = 46 degrees
Step-by-step explanation:
This angle is a right angle so it equals 90 degrees. That means that equations 3g + 29 and 7g + 11 will amount to 90 degrees.
(3g + 29) + (7g + 11) = 90
Combine like terms:
10g + 40 = 90
10g = 50
g = 5
Plug in 5 to both equals (in this case the question only asks for 3g + 29 or KRM):
3(5) + 29 =
15 + 29 =
44 =
7(5) + 11 =
35 + 11 =
46 =
Each gram of fat is 9 calories. Each serving of cake is 700 calories. What percent of these calories are from fat?
Answer:
1.3%
Step-by-step explanation:
[tex]\frac{9}{700}[/tex]
9 ÷ 700
0.0129
0.0129 × 100
1.3%
write all trigonometric values
Answer:
Step-by-step explanation:
[tex]\theta[/tex] 0° 30° 45° 60° 90°
[tex]Sin \theta[/tex] [tex]0[/tex] [tex]\frac{1}{2}[/tex] [tex]\frac{\sqrt{2}}{2}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]1[/tex]
[tex]Cos \theta[/tex] [tex]1[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]\frac{\sqrt{2} }{2}[/tex] [tex]\frac{1}{2}[/tex] [tex]0[/tex]
[tex]Tan \theta[/tex] [tex]0[/tex] [tex]\frac{1}{\sqrt{3} }[/tex] [tex]1[/tex] [tex]\sqrt{3}[/tex] ∞
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse
cos A=adjacent/hypotenuse
tan A=opposite/adjacent
cosec A=hypotenuse/opposite
sec A=hypotenuse/adjacent
tan A=adjacent/hypotenuse
Hope this helps u!!
Jeff is standing on the 10 m diving platform. His coach is on the ground to the left of him, while his parents are on the ground to the right of him. His coach is looking at him at an angle of 37 degrees with the ground, while his parents are looking at him at an angle of 32 degrees with the ground. If the angle at the base of the platform between Jeff’s coach and Jeff’s parents is 100 degrees, how far apart are his coach and his parents to the nearest meter?
Answer:
29 m
Step-by-step explanation:
Since Jeff's coach is at the left of the platform and the platform at an angle of elevation of 37° and Jeff's parent's are on the right of the platform with the platform at an angle of elevation of 32°. The line of sight of Jeff's coach, the distance between Jeff's coach and parents and the line of sight of Jeff's parents form a triangle.
Since the platform is 10 m high, it is a perpendicular to the base of the triangle.
This perpendicular bisects the original triangle into two right angled triangles - one on the left and one on the right - with base angle 37° and 32° respectively.
Using trigonometric ratios with the opposite side to each angle the height of the platform from the ground (10 m) and the opposite angles 37° and 32° respectively, then the length of each base is gotten from
tan37° = 10/L and tan32° = 10/L' where L and L' are the lengths of each base of the two right angled triangles respectively.
So, L = 10/tan37° = 10/0.7536 = 13.3 m and L' = 10/tan32° = 10/0.6249 = 16 m.
The length d = L + L' is the distance between Jeff's coach and Jeff's parents
So, d = L + L'
= 13.3 m + 16 m
= 29.3 m
≅ 29 m to the nearest meter.
Note that we do not need the third angle in the triangle which is 100° the angle of separation between Jeff's coach and Jeff's parents which is at the base of the platform.