Answer:
the length is 96 meters
Step-by-step explanation:
384/4=96
Which of the following describes the number 6 in the equation 6z= 12?
1
variable
2
constant term
3
coefficient
4
term
Answer:
4 term describes the number 6 in 6z=12
Step-by-step explanation:
Which inequality is graphed below?
Answer:
3x-2y>6
Step-by-step explanation:
Use the Binomial Theorem to find the coefficient of x^3y^2z^5 in (x + y + z)^10.
Answer:
The coefficient is 2520
Step-by-step explanation:
Given
[tex](x + y + z)^{10[/tex]
Required
The coefficient of [tex]x^3y^2z^5[/tex]
To do this, we make use of:
[tex]k = \frac{n!}{n_1!n_2!....n_m!}[/tex]
Where
[tex]k \to[/tex] coefficient
[tex]n = 10[/tex] the exponent of the given expression
[tex]n_1=3[/tex] -- exponent of x
[tex]n_2=2[/tex] --- exponent of y
[tex]n_3=5[/tex] --- exponent of z
So, we have:
[tex]k = \frac{n!}{n_1!n_2!....n_m!}[/tex]
[tex]k = \frac{10!}{3!2!5!}[/tex]
Expand
[tex]k = \frac{10*9*8*7*6*5!}{3!2!5!}[/tex]
[tex]k = \frac{10*9*8*7*6}{3!2!}[/tex]
[tex]k = \frac{30240}{3!2!}[/tex]
Expand the denominator
[tex]k = \frac{30240}{3*2*1*2*1}[/tex]
[tex]k = \frac{30240}{12}[/tex]
[tex]k = 2520[/tex]
A developmental psychologist would like to determine whether infants display any color preferences. A stimulus consisting of four color patches (red, green, blue, and yellow) is projected onto the ceiling above a crib. Infants are placed in the crib, one at a time, and the psychologist records how much time each infant spends looking at each of the four colors. The color that receives the most attention during a 100-second test period is identified as the preferred color for that infant. The preferred colors for a sample of 60 infants are shown in the following table:
Red Green Blue Yellow
20 12 18 10
a. Do the data indicate any significant preferences among the four colors? Test at the .05 level of significance.
b. Write a sentence demonstrating how the outcome of the hypothesis test would appear in a research report.
Answer:
There is insufficient evidence to suggest that preference exists among the four colors.
Step-by-step explanation:
Xobserved, Xo = 20 __ 12 __ 18 __ 10
Xexpected, Xe = ΣX observed / n = 60 /4 = 15
Test statistic :
χ² = Σ(Xo - Xe)² / Xe
χ² = (20-15)²/15 + (12-15)²/15 + (18-15)²/15 + (10-15)²/15
χ² = 5²/15 + (-3)²/15 + 3²/15 + (-5)²/15
χ² = 4.533
The critical value :
df = n - 1 ; 4 - 1 = 3
χ²critical (0.05, 3) = 7.815
Decison region :
|χ²| < χ²critical ; Fail to reject the null
For this analysis ;
|χ²| < χ²critical ; Fail to reject the Null
Hence, there is insufficient evidence to suggest that preference exists among the four colors
plss help!!sorry if i asked alot
Answer:
[tex] \frac{2 }{3} [/tex]
Step-by-step explanation:
Formula is
y=mx+c So,2by 3 is m and x is there and 2 at last is c .
answer is 2 by 3
Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for whitefly.
Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.
Answer:
a. 250 fields
b. 220 to 280 fields
c. Fields are not independent
Step-by-step explanation:
a. The average number of fields sampled that are infested with whitefly =
number of fields X Percentage sampled, 10%
= 2500 X 10% = 250 fields
b. Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance
σ = √nab
= √na(1-a) = √2500 X 10% X (1- 10%)
= √225 = 15
Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large
μ - 2σ = 250 - 2(15) = 220
μ + 2σ = 250 + 2(15) = 280
Approximately 220 to 280 fields are expected to be infested going by 95% probability observation
c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.
Match terms to definitions
A. Statistic.
B. Null hypothesis.
C. Slope of the least-squares line
D. Population
E. p-value.
F. Coefficient of Determination r2begin mathsize 12px style r squared end style -
G. z-score
H. Parameter
I. Sampling distribution
J. Sample
1. Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.
2. All objects or individuals of interest.
3. Probability distribution of a sample statistic based on all possible simple random samples of the same size from the same population.
4. Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.
5. Some individuals or objects of interest.
6. A numerical measure that describes an aspect of a sample.
7. Distance from mean in terms of standard deviation units.
8. A claim about a population parameter.
9. A numerical measure that describes an aspect of a population.
10. Marginal change of the response variable.
Answer:
A. Statistic = A numerical measure that describes an aspect of a sample.
B.) Null hypothesis = A claim about a population parameter.
C.) Slope of the least square line = Marginal change in response variable.
D.) Population = All Objects or individual of interest
E.) P - value = Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.
F.) Coefficient of determination = Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.
G.) Z score = Distance from mean in terms of standard deviation units.
H.) Parameter = A numerical measure that describes an aspect of a population.
I.) Sampling distribution = Probability distribution of a sample statistic
J. Sample = Some individuals or objects of interest
Step-by-step explanation:
Answer is Explanatory
A baker is selling pies his first customer buys 1/2 of all the pies plus 1/2 of a pie. His second customer then buys 1/2 of the pies plus 1/2 of a pie the last customer buys 1/2 of the pies plus 1/2 pie. he has no more pies. how many did he start with?
Answer:
7 pies
Step-by-step explanation:
last customer: ½+½= 1
second customer =( 1×2)+1 = 3
first customer = (3×2)+1 = 7
Can you please help me
9514 1404 393
Answer:
x = 95°y = 75°arc ABC = 150°Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsopposite angles of an inscribed quadrilateral are supplementary__
Using the second relation, ...
x = 180° -85° = 95°
y = 180° -105° = 75°
Using the first relation, ...
arc ABC = 2y = 2(75°) = 150°
What type of angles are 4 and 5
Answer:
Alternate interior angles.
The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines
Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.
Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.
When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.
The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.
To know more about alternate interior angles. here
https://brainly.com/question/20344743
#SPJ2
The parks department plans to cover a rectangular field
in a park with grass and must find the area of the field.
The field is 10 m longer than it is wide. The width of the
field is 25 m. What is the area to be seeded?
ASAP rn
Answer: 875 m²
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebrainliest
Answer:
1/3
Step-by-step explanation:
Divide the numerator and denominator by 6.
6/18 = 1/3
Angles and are supplementary. Find the measure of angle C
Answer:
Angle C = 106 degrees
Step-by-step explanation:
I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)
Supplementary angles add up to 180 degrees
180 - 74 = 106 degrees
A stove heats food by adding _______ to the food.
What is the volume of the rectangular prism?
50 POINTS
Answer:
A
Step-by-step explanation:
stan bought 5lbs of raisins at $3.55/lb . if he wanted to but 4 more pounds of a different kind of raisins to make the average price per pound equals to $3.23 what price should he pay for the additional 4lb?
Answer:
$2.83
Step-by-step explanation:
5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb
$17.75 + 4lb(x) = $29.07
-$17.75. -$17.75
4lb(x) = $11.32
___________
4lb. 4lb
x = $2.83
Avery spent 10 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?
Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming
Step-by-step explanation:
Pleaseee helppp I have no cluee!!!
Answer:
the correct answer is Victoria's answer
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
Step-by-step explanation:
A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
its C and D i think good luck people
<3
help me fast plzzzzzzzzzzz
this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!
If x varies inversely as v, and x = 35 when v = 3, find x when v = 15
Answer:
x = 7
Step-by-step explanation:
Given that,
x varies inversely as v.
When v = 3, x = 35.
We need to find x when v = 15
ATQ,
[tex]x=\dfrac{k}{v}[/tex]
Put v = 3, x = 35,
[tex]k=3\times 35\\\\k=105[/tex]
Now put v = 15 and k = 105
[tex]x=\dfrac{105}{15}\\\\x=7[/tex]
So, the required value of x is equal to 7.
What is the distance between these order pairs (-4, 9) and (-4, 6)
9514 1404 393
Answer:
3 units
Step-by-step explanation:
The ordered pairs describe points on the same vertical line: x = -4. The distance between them is the difference of their y-coordinates:
9 - 6 = 3
The distance between the given points is 3 units.
Which is correct answer ??
Answer:
.....
Step-by-step explanation:
attach the question properly
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Answer:
13.0833 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 5 ft
Angle sustained by the sector (θ) = 360 – 300
= 60°
Pi (π) = 3.14
Area of sector (A) =?
The area of the sector can be obtained as follow:
A = θ/360 × πr²
A = 60/360 × 3.14 × 5²
A = 1/6 × 3.14 × 25
A = 1/6 × 78.5
A = 78.5/6
A = 13.0833 ft²
Thus, the area of the sector is 13.0833 ft²
Step-by-step explanation:
The angle of the minor sector will be ,
> 360 - 300 = 60° .
Area of sector :-
> Area = ∅ / 360 × πr²
> A = 60/360 × 3.14 × 5ft²
> A = 13.09 ft²
Determine the equation of the circle graphed below.
Answer:
(x - 2)² + (y + 4)² = 29
Step-by-step explanation:
Standard form
(x - h)² + (y - k)² = r²
(h, k) is the center and ris the radius
-----------------------------------
For center (2, -4)
(x - 2)² + (y + 4)² = r²
use the distance formula to find d² which is the same as r²
r² = d² = (x2 - x1)² + (y2 - y1)²
r² = (4 - 2)² + (1 - -4)²
r² = 2² + 5²
r² = 29
Now the equation becomes
(x - 2)² + (y + 4)² = 29
PLZ HURRY GOT 10 MINS LEFT
Answer:
6 units
Step-by-step explanation:
Both units lie on the -5 x-axis, so you only have to look at the difference in the y-axis. Going from -2 to -8 is a 6 unit difference.
Hope this helps :)
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
sorry to burst your bubble but thats 5 ponits
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students
Answer:
7 students.
Step-by-step explanation:
1/6 of 30 is 5
3/5 of 30 is 18
18+5=23
30-23=7
Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3