Options for the question:
a. one mean
b. comparing means from dependent samples
c. comparing means from 2 independent samples
d. one proportion e. comparing proportions from 2 independent samples
f. comparing proportions from dependent samples
Answer:
b. comparing means from dependent samples
Explanation:
The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.
PLEASE HELP I WILL GIVE THE BRAINLIEST ANSWER FAST
second attachment has the diagram
Answer: B and E apply. I know for sure.
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:
A cuboid with a volume of 924 cm^3 has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Find the longest length of the Cuboid.
Answer:
21
Step-by-step explanation:
Volume of a cuboid is given by
V = l*w*h
924 = 4 (x+1) (x+11)
FOIL
924 = 4(x^2 +11x+x+11)
924 = 4(x^2+12x+11)
Divide each side by 4
231 = (x^2+12x+11)
Subtract 231 from each side
0 = x^2 +12x +11-231
0 = x^2 +12x - 220
Factor
0 = (x+22) (x-10)
Using the zero product property
x+22 =0 x-10 =0
x=-22 x=10
We cannot have a negative length
x=10
The side lengths are 4, 10+1, 10+11
4,11,21
The longest is 21
f(x)=3x+4 and g(x) 4x^(2)-x
Find f(-5) and g(-2)
I need help with this please
Answer:
B) 9x² + 6x + 1
Step-by-step explanation:
use the FOIL method:
(3x + 1)(3x + 1)
F: 3x(3x) = 9x²
O: 3x(1) = 3x
I: 3x(1) = 3x
L: 1(1) = 1
combine the 'like terms' in the middle to get 6x
answer: 9x² + 6x + 1
Answer:
the answer is B. 9x^2 + 6x+1
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:)
What is the value ? 10-8,10-2,10-12,10-14,10-25
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]
pls help on number 2!!
Answer:
Step-by-step explanation:
the given figure is rectangle
area of rectangle=l*b
=5*6
=30 ft^2
Answer:
Area = 30 ft²
Step-by-step explanation:
This figure is a rectangle, therefore;
Area of a rectangle = B*W
A = 5*6
A = 30
Therefore the area of the given rectangle is 30 ft²
Hope this helps!
1. Which equation should be used to find the area of the triangle below? *
1 point
5 inches
-5 inches
2 inches
Answer:
See Explanation
Step-by-step explanation:
Required
Expression for area of triangle
This is calculated using
[tex]Area = \frac{1}{2} * base * height[/tex]
Assume that:
[tex]base = 5cm; height = 2cm[/tex]
The equation becomes
[tex]Area = \frac{1}{2} * 5* 2[/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.
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%
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
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
Please show work. What is the volume of the figure?
Answer:
Volume = 288 in.³
Step-by-step explanation:
Volume of the solid = volume of the cube + volume of the square pyramid
V = a³ + ⅓*a²*h
a = 6 in.
h = 12 - 6 = 6 in.
Plug in the values into the volume formula
Volume = 6³ + ⅓*6²*6
Volume = 216 + 72
Volume = 288 in.³
Find the circumference of the given circle given a diameter of 9 in
use 3.14
Answer:
28.26
Step-by-step explanation:
Circumference= 2 pi x r
Diameter= 9 (double the radius)
Radius= 4.5
Pi= 3.14
2 x 3.14= 6.28
6.28 x 3.14= 28.26
:D
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
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
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]
Which of the expressions are equivalent to the one below? Check all that
apply.
3 x (7+2)
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.
Freddy wants an average grade of 93 from his four algebra exams. The scores for his first three exams are 94, 89, and 96. What grade would Freddy need to earn on his fourth exam to have an average grade of 93?
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
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.
Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c.
x+4+y/8
Help with both of these please!
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!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
9514 1404 393
Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.
Answer: T=1700
Step-by-step explanation:
What is the radius of a sphere with a volume of 3675 m^3, to the nearest tenth of a meter?
Answer:
9.57m
Step-by-step explanation:
Answer:
Other person's wrong, I tried their answer. It's actually 9.6. They would've been right but they rounded to the nearest HUNDREDTH. Not tenth.