he average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, while the average 30- to 39-year old woman is 64.2 inches tall, with a standard deviation of 3.2 inches. Who is relatively taller based on their comparison to their gender, LeBron James at 81 inches or Candace Parker at 76 inches
Answer:
2. LeBron is relatively taller because he has a larger z-score.
Step-by-step explanation:
Given that ,
mean =[tex]\mu[/tex] = 69.5
standard deviation [tex]=\sigma[/tex] = 2.7
x = 81
Now use the formula of z-score
[tex]z = x - \frac{\mu}{\sigma}[/tex]
z =[tex]81 - \frac{69.5}{2.7}[/tex]
z = 4.26 LeBron
mean = [tex]\mu[/tex] = 64.2
standard deviation =[tex]\sigma[/tex] = 3.2
x = 76
Now use the formula of z-score
[tex]z = x - \frac{\mu}{\sigma}[/tex]
[tex]z = 76 - \frac{64.2}{3.2}[/tex]
z = 3.69 Candace
As it can be seen that the lebron is taller as he has more z-score as compared to the Candace
I will give you branilest!
Answer:
10/3
Step-by-step explanation:
I did quiz lol and I got it right
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
what is the rule that describes this pattern of numbers -10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
Each number is one-tenth the number to its left.
Each number is 10 more than the number to its left.
Each number is 10 times the number to its left.
Each number is one-tenth the number to its right.
Answer:
Each number is one-tenth the number to its left.
Step-by-step explanation: -1,000 is one tenth of -10,000 for example
-4x-6=-3x-10
solve for x
Answer:
-4x-6 = 3x-10
-4x-3x= -10+6
-7x= -4
x= -4/-7
x= 4/7
6x4x8x5=
that is the
what is 8455 divided by 89?
Answer:
95
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
8455 divided by 89
When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8 ?
Answer:
[tex]\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}[/tex]
Step-by-step explanation:
When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?
[tex]f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}[/tex]
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.
Answer:
24 hours
Step-by-step explanation:
Let x represent the time required to fill both pipes if they are left open
1/6 + (-1/8)= 1/x
1/6 - 1/8= 1/x
Divide through by 48
48(1/6) -48(1/8) = 48(1/x)
8 - 6 = 48 x
2= 48/x
2x= 48
x= 48/2
x= 24
Hence it will take 24 hours to fill the pipe if the drain is left open
6) What is the mystery number?
The mystery number has ...
• 9 in the Ones place.
8 in the Millions place.
4 in the Hundred Thousands place.
3 in the Hundreds place.
3 in the Thousands place.
3 in the Tens place.
O in the Ten Thousands place.
Answer:
8,403,339
Step-by-step explanation:
Which of these is another way to write the function f(x)=5x?
a. f(x)=1/4(625x)
b. f(x)=(625x)1/125
c. f(x)=(625x)1/4
d. f(x)=1/125(625x)
Answer:
d
Step-by-step explanation:
when f(x)=5......It can also be
f(x)=1/125(625x)
every whole number over one...1(625x)=625x
also 125(1)=125 therefore (625/125)x=5x
please help me asap
Answer:
b, b, c
hope this helps, i can explain if needed!
Answer:
1) The second option
2) The second option
3) The third option
I did this one rather quickly so I'm hoping it's correct but pls tell me if it isn't so I can correct my mistakes
y=12x^2-9x+4 does this have one two or no solution
What is the pattern in the numbers 1,8,27,64
Answer:
3
Step-by-step explanation:
he pattern is continued by adding 3 to the last number each time, like this: 1, 8, 27, 64, 125, 216, 343, 512, 729
The solution for x^2+2x+8<0_ is
Answer:
Step-by-step explanation:
x
2
−2x−8=0
x
2
−4x+2x−8=0
x(x−4)+2(x−4)=0
(x+2)(x−4)=0
⟹x=−2,4
So what s the meaning for X and Y
The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.
what is 40% of 80 please hellppppppppp
Answer:
32
Step-by-step explanation:
Solve for x. Enter the solution from least to greatest (x-4)(-5x+1)=0
Answer:
hee ya go (x-4)(-5x+1)=0. (x−4)(−5x+1)=0 ( x - 4 ) ( - 5 x + 1 ) = 0.
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to
0.
Answer:
x=4
Step-by-step explanation:
If you do 4-4 in the first one you get 0. Then the problem would look like this.
(0)(-5x+1)=0
It wouldn't matter what the next one looks like because you would multiply it by 0 which would give you 0.
(0)(-19)
0 x (-19) = 0
I need help with rounding
Answer:
ok so say the number is 23 you would look at the 3 and ask yourself is the 3 greater or smaller than 5 if its 4 and under you keep the number the same and just add a zero which would make it 20 and if its 5 and over you would add 1 to the first number and put a 0 at the end making it 30. HOPE THIS HELPS!
Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?
Answer:
The volume of he bedroom is about 180 feet :)
drag numbers to write an equation for the line in slope intercept form number is may be used once more than once or not at all
Answer:
y = -4x + 5
Step-by-step explanation:
The equation for the line, in slope-intercept form will take the following equation format which is y = mx + b.
Where,
b = y-intercept = 5 (this is where the line intercepts the y-axis, and also, x = 0 here)
m = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use any two points on the line. Using (0, 5) and (1, 1), calculate m as follows:
m = [tex] \frac{1 - 5}{1 - 0} = \frac{-4}{1} = -4 [/tex]
Substitute m = -4, and b = 5 into y = mx + b.
y = -4x + 5
Answer:
Y=-4x+5
Step-by-step explanation:
I will give you branilest!
When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Complete the table as you answer the questions.
cups of blue paint cups of yellow paint
2 10
1 5
3 15
3. What is the proportional relationship represented by this table?
The amount of (blue paint or red paint?) is (proportional or related?)to the amount of [yellow paint or green paint? ] .
Answer:
When simplified they all are 1/5
So yes they are proportional
Which table represents a function?
Answer:
B
Step-by-step explanation:
4.05 x 10^-2 Standard Form
Answer:
0.0405
Step-by-step explanation:
10^-2 is the same as 1/100, so if you multiply 4.05 x 1/100, you get 0.0405.
Another way to think about it is by looking at the exponent -2. You need to move the decimal point 2 spaces to the left -- and add zeroes to any spaces that don't already have numbers.
So if you start with 4.05, and move the decimal one space to the left, you get 0.405, and then you move it one more space, and you get 0.0405.
how many inconsiderate people take up space in this world?
Answer:
Too many :(
Step-by-step explanation:
Its life u know
can i pls have brainliest
Answer:
that number is probably too high to count, don't ya think
What is the reciprocal of 3
Answer:
1/3
Step-by-step explanation:
3/1 backwards is 1/3
that's why its reciprocal is 1/3
hope this helps:)
Geometry: Write and solve an equation to find the value of x so that the figures have the same area.
Answer:
e
Step-by-step explanation:
e
what happens when you celebrate halloween in spring matrix multipication
Answer:
his is the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends ... You know all those Halloween recipes you've been saving on Pinterest for years now? ... Halloween and Samhain product brands as you can all year long.
Step-by-step explanation:
Evaluate:
-77 + (-46)
-77 + (-46 )
- 77 - 46 (+ × - = - )
-123
Answer:
-123
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -77 - 46
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 77 + 46 = 123
3) Finally, add the greater number's sign (-77) in front of the number.
-123
Hope this helps! :D
The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?
Answer:
Step-by-step explanation:
First, we want to take the information we have and turn it into an equation, where x is our unknown dimension. For this problem, it would be better if x was equal to the width.
Let's write out the equation:
X is the width, 2x + 2 is the length, and we are multiplying both by two since there are two sides of the field. It will all equal to 322, because that is the perimeter.
2*x + 2(2x +2) = 322
Now, let's solve:
2*x + 2(2x + 2) = 322
2x + 4x + 4 = 322
6x + 4 = 322
6x = 318
x = 318 ÷ 6
x = 53
The width is 53 yards. To find the length, we multiply 53 by two and add two.
53 * 2 + 2 = 106 + 2 = 108 yards, as the length