Answer:
The correct solution is "[tex]t=\frac{43.5-45.9}{\sqrt{\frac{5.33^2}{34} +\frac{6.21^2}{40} } }[/tex]".
Step-by-step explanation:
The given values are:
Bear island:
n1 = 34
[tex]\bar{x_1}[/tex] = 43.5
S₁ = 5.33
Goat island:
n2 = 40
[tex]\bar{x_2}[/tex] = 45.9
S₂ = 6.21
Now,
⇒ [tex]t=\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } }[/tex]
On substituting the given values, we get
⇒ [tex]t=\frac{43.5-45.9}{\sqrt{\frac{5.33^2}{34} +\frac{6.21^2}{40} } }[/tex]
What is the answer to this
20. Find the mean, median, and mode for the following
data set:
83 98 22 89 99 98
Answer:
GOT U
Step-by-step explanation:
Mean = 81.5
Median =93.5
Mode = 98
CAN SOMEONE HELP ME PLZZZ
Answer:2440
Step-by-step explanation:
A basketball player makes 85% of her foul shots. If 10 of her foul shots are randomly selected, what is the probability that 8 of them are successful shots?
0.06
0.28
0.85
0.98
Answer: 0.28
Step-by-step explanation: Reviewed my quiz, got you covered
If FX) = 3x+6, which of the following is the inverse of Fx)?
A. F1(x) = 6 - 3x
B. F1(x) = 3x - 6
C. F'(x) = x - 6 / 3
D. F'(x) = x - 3 / 6
Answer:
C. F'(x) = x - 6 / 3
Step-by-step explanation:
[tex]y = 3x + 6[/tex]
[tex]x = 3y + 6 \\ x - 6 = 3y + 6 - 6[/tex]
[tex] \frac{x - 6}{3} = \frac{3y}{3} [/tex]
[tex]y = \frac{x - 6}{3} [/tex]
[tex]f1 = \frac{x - 6}{3} [/tex]
a consumer is constrained by
Answer:
things and quality
Step-by-step explanation:
things and quality
Researchers wanted to know if people, on average, tend to underestimate the duration of a typical cold. Clinical literature reports that the actual duration of a typical cold is roughly 15 days. The researchers surveyed a random sample of 352 healthy adults and asked them how long they think that a typical cold lasts. The results of this survey were that the average time that the 352 people thought a cold lasts was two weeks (14 days) with a standard deviation of 0.5 days. So, according to this survey, do people tend to underestimate the duration of a cold (with statistical significance)?
Answer:
No, the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold. .
Step-by-step explanation:
We are given;
Population mean; μ = 15
Sample mean; x¯ = 14
Standard deviation; s = 0.5
Sample size; n = 352
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ < 15
Let's find the z-value;
z = (x¯ - μ)/(s/√n)
z = (14 - 15)/(0.5/√352)
z = -1/0.02665
z = -37.5
From online p-value from z-score calculator attached using z = -37.5; significance level of 0.05; one tailed hypothesis, we have;
p-value = 0.00001
But since we want to find out if they underestimate the duration of the cold then;
P(z > 0.00001) = 1 - 0.00001 = 0.99999
Which is approximately 1.
The p-value is greater than the significance level, therefore we fail to reject the null hypothesis and conclude that the survey doesn't support the researchers claim that people tend to underestimate the duration of a cold.
there are 4 red balls in a bag and 8 yellow balls a ball is drawn random from the bag find the probability of not red ball
Answer:
2/3
Step-by-step explanation:
There are 4 red balls and 8 yellow balls.
Therefore, there are total 12 balls in the bag.
n(S) = 12
Let A be the event when the ball drawn is not a red ball.
The balls which are not red will be yellow balls and there are 8 yellow balls so,
n(A) = 8
Probability that the ball drawn randomly from the bag is not a red ball,
p(A) = n(A) / n(S)
= 8/12
= 2/3
Therefore, the probability of the ball drawn randomly is not a red ball is 2/3.
-4x - 4(6x-14) +8(6x-10) - (20x -18)
Answer:
I believe it is -6
Step-by-step explanation:
charlie's puppy max weighs 10 pounds. How many ounces does Max weigh?
Answer:
160 ounces
Step-by-step explanation:
16 ounces=1 pound
10x16=160
I'm lost on this please help
Answer:
Y=1/4x+33/4
Step-by-step explanation:
Y=1/4x+b
9=1/4(3)+b
9=3/4+b
8.25=33/4=b
Y=1/4x+33/4
(8x+1/2x) raise to a power of 8
giving brainliest !! *easy*
Answer:
31.4
Step-by-step explanation:
Tanisha scored 31 out of 35 points on a recent math quiz. The percent that Tanisha answered
correctly is closest to
1) 86%
2) 89%
3)91%
4)93%
Answer:
2) 89%
Step-by-step explanation:
Look at the figure. Which point is coplanar with points B, C, and H?
PLEASE HELP ASAP!!
Answer: G
Step-by-step explanation:
Its g because its on the same side of the cube
Answer: G
Step-by-step explanation:
3. A deli sells small, medium, and large box lunches. Each can of soda costs $1 and each bag of chips costs $1. Each sandwich costs s dollars. Some customers buy box lunches, and some customers buy items separately. Use this and the information below to solve Parts A, B, and C.
• Michelle buys 6 sandwiches and 2 sodas. Her total cost is 6s+ 2.
• Beyunka buys 6 small box lunches. These box lunches include 1 sandwich, 1 soda, and 1 bag of chips. Her total cost is 6(s + 2).
Duff buys 3 medium box lunches. These box lunches do not include soda. His total cost is 3(2s + 3).
3. PART A: Each medium box lunch purchased by Duff contains two sandwiches and three bags of chips. If sandwiches cost $7.75, what is Duff's total cost?
Answer:
55.50
Step-by-step explanation:
2(7.75) = 15.5
15.5+3 = 18.5
3(18.5) =55.5
$55.50
if a football team played 160 matches and won 65 percent of them,how many matches did it win
Answer:
65 x 160 / 100 = 104
Step-by-step explanation:
If 4x - 3y = -18 and 6x + 7y = -4, then what is the value of y?
Answer:
y = 2
Step-by-step explanation:
4x - 3y = -18, then 4x = 3y - 18, x = (3y - 18)/4
6x + 7y = -4
substitute for x:
6((3y - 18)/4) + 7y = -4
(18y - 108)/4 + 7y = -4
4.5y - 27 + 7y = -4
combine like terms:
11.5y = 23
y = 2
check:
x = (3(2) - 18)/4 = -12/4 = -3
6(-3) + 7(2) = -4
-18 - 14 - -4
-4 = -4
so y = 2 is correct
k= y/x (3x-1)-2.75(x+2)
Answer:
k=
−2.75x2+3xy−5.5x−y/x
Step-by-step explanation:
Hi! so i see you need help with this problem let me help you and guide you through the steps :]
Let's solve for k.
k= y/x
(3x−1)−2.75(x+2)
Step 1: Multiply both sides by x.
kx=−2.75x2+3xy−5.5x−y
Step 2: Divide both sides by x.
kx/x
=
−2.75x2+3xy−5.5x−y/x
k=
−2.75x2+3xy−5.5x−y/x
Answer:
k=
−2.75x2+3xy−5.5x−y/x
Can someone please solve this for me?
107 + 12
Show your work and I'll give brianliest (I know the answer i just need someone to show their work on how to get it)
Need help Arc angles
Complete the statement. Round to the nearest hundredth if necessary. 48 ft =_____yd
Answer: 16
Step-by-step explanation:
there are 3 feet in one yard so divided 48 by 3 and you get 16
Answer:
16
Step-by-step explanation:
The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer
Answer:
more information
Step-by-step explanation:
A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] … The positive whole number N, when multiplied by 150, is a perfect square.
Answer:
6
Step-by-step explanation:
The computation of the least possible whole number is shown below:
Here we need the factors of 150 i.e.
= 3 × 5 × 2 × 5
Here we can add to one box and the 5 to the other box
And, now if we can add 3 to one box and in the other we can add 2 so they cant be equal to each other
Now lets try 5 × 6 and 5
So, here The perfect square is 900
= 30 × 30
= 900
Hence, the number would be 6
Simplify the expression below. A. 83 B. 812 C. 84 D. 88
Answer:
there is no expression
Step-by-step explanation:
Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Answer:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]
Output of 40 when x=1
This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So
[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]
[tex]40 = a(20)(2)[/tex]
[tex]40a = 40[/tex]
[tex]a = 1[/tex]
The polynomial is:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
In a small group, the ratio of club members to non-members is 6 to 5. What is the ratio of non-members to the total group size?
A. 6 to 5
OB. 5 to 6
C. 11 to 5
D. 6 to 11
O E. 5 to 11
The ratio of non-members to the total group size is to be considered as the option C. 11 to 5
Calculation of the ratio:Since
In a small group, the ratio of club members to non-members is 6 to 5.
So, the total members should be
= 6 + 5
= 11
Now the ratio be like 11 to 5
Hence, the option c is correct.
Learn more about ratio here: https://brainly.com/question/13021566
slove this plzzz plzzz
Answer:
an equilateral triangle have equal angles and equal sides.
so, side x and side bc are 12.
Answer:
It's going to be 12, so is the other size.
Step-by-step explanation:
You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D
If y= 12x + 7 were changed to y = 12x + 2, how would the graph of the new
function compare with the original?
A. It would be less steep.
B. It would be steeper.
C. It would be shifted down.
D. It would be shifted up.
Answer:
C. It would be shifted down.
General Formulas and Concepts:
Algebra I
Reading a Cartesian Plane
Functions
Graphing
Coordinates (x, y)
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Original Function] y = 12x + 7
[Transformed Function] y = 12x + 2
Step 2: Identify
Compare functions to general form.
[Original Function] Slope m = 12, y-intercept b = 7
[Transformed Function] Slope m = 12, y-intercept b = 2
Step 3: Compare
We see that they both have the same slope m of 12, so A and B can be eliminated as the slopes don't change and therefore would not be steeper or less steep.
Now comparing the y-intercept b's, we see that the original function has a bigger b than the transformed function. This tells us that the original function will start higher than the transformed function.
We can also graph both equations and see what happens to the original equation.
∴ the answer would be C. It would be shifted down.
There is a sale on sneakers. The price tag says $150. There is a 25% off sale. What is the final price with the discount? USE AN EXPRESSION.
Expression: ___________________
Answer:_______________________
Answer:
Step-by-step explanation: