Complete question :
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th
Answer:
1.) 25th percentile = 74.95
2.) 75th percentile = 95.05
3.) 95th percentile = 109.75
Step-by-step explanation:
Given that :
Mean (m) = 85
Standard deviation (s) = 15
The Zscore, corresponding to the percentiles given:
25th percentile score corresponds to a Zscore of - 0.67
Recall the relation:
Zscore = (x - m) / sd
x = score; m = mean = 85 ; sd = standard deviation = 15
-0.67 = (x - 85) / 15
15 * - 0.67 = x - 85
-10.05 = x - 85
x = 74.95
2.) 75th percentile ; Zscore = 0.67
0.67 = (x - 85) / 15
15 * 0.67 = x - 85
10.05 = x - 85
x = 10.05 + 85
x = 95.05
3.) 95th percentile ; Zscore = 1.65
1.65 = (x - 85) / 15
15 * 1.65 = x - 85
24.75 = x - 85
x = 24.75 + 85
x = 109.75
Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?
Answer:
904
Step-by-step explanation:
8 x 113 = 904
A supply of foods last for a week for 20 families. how long would the supply last for 3 more families.?
Given that,
A supply of foods last for a week for 20 families.
It is required to find the time that would the supply last for 3 more families.
20 families = 1 week = 7 days
If 3 more families joined, total no of families are now 23.
It means that,
1 family= (20/7) days
Now,
23 family =
[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]
So, the supply will last for 66 days.
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation:
ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he seems to third of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at this rate how many minutes does it take them to run 2 miles swim 2 miles in bike 8 miles
Answer:
a) He will take 76 minutes in the triathlon
Step-by-step explanation:
He runs 1/5 of a mile in 1/20 f hour then, by simple inspection
1/5 ⇒ 1/20 then 1/5 miles* 10 = 2 miles
1/20*hours*10 = 1/10 hours
10/10 of an hour is 60 minutes
1/10 of an hour is 6 minutes
swimming
1/3 of a mile in 1/9 of hours then
1/3mile *6 = 2 miles
1/9 of an hour * 6 = 6/9 hours or 2/3 of an hour
3/3 of an hour is 1 hour = 60 minutes
2/3 of an hour is = 40 minutes
In bike
4 miles in 1/4 hour then
4 miles *2 = 8 miles
1/4 hour* 2 = 1/2 hour = 30 minutes
Then he will do the triathlon in:
6 minutes running
40 minutes swimming
30 minutes in bike
Total 76 minutes
Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.
Answer:
28 in grams=793.787 and 28 in kilo =0.793787
Step-by-step explanation:
(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
HELP ME ASP PLZ
Which model represents the product Three-fourths times one-third ?
1. A model with 12 squares. 2 squares are light purple, 1 square is dark purple, and 3 squares are grey.
2. A model with 12 squares. 3 squares are light purple, 6 squares are dark purple, and 2 squares are grey.
3. A model with 8 squares. 3 squares are light purple, 3 squares are dark purple, and 1 square is grey.
4. A model with 12 squares. 6 squares are light purple, 3 squares are dark purple, and 1 square is grey.
Answer:
b
Step-by-step explanation:
You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation
of at most $60.
Select which inequalities represent the prices you are willing to pay.
Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445
x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370
Answer:
250 < x < 370
Step-by-step explanation:
From the given bicycle prices, we first calculate the mean.
Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)
Mean = ⅛(2480)
Mean = $310
Next, is to determine the amount willing to pay using.
Amount = Mean ± Absolute Deviation
Amount = $310 ± $60
This can split as follows
Amount = $310 + $60 or Amount = $310 - $60
Amount = $370 or $250
Represent as an inequality, we have:
250 < x < 370
For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1. True False
State the x and Y intercepts of the equation y=2/3x - 1/3
Answer:
x intercept is (1/2, 0).
y intercept = (0, -1/3)
Step-by-step explanation:
2/3x - 1/3 = 0
2/3x = 1/3
x = 1/3 * 3/2
x = 1/2.
y = 2/3(0) - 1/3 = -1/3.
You are putting in a walkway around a tomato garden that has
dimensions of 14 feet x 8 feet. The width of the walkway needs to be
the same around each side of the garden. The total area of the
garden and the walkway needs to be 315 square feet.
Answer:
The garden is 14ft by 8ft.
The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.
Then the area of the garden plus the walkway will be:
(14ft + X) by (8ft + X).
And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:
(14ft + X)*(8ft + X) = 315ft^2
Let's solve this for X.
112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2
Let's move al the terms to the same side:
X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0
X^2 + 22ft*X - 203ft^2 = 0.
Now to solve this we can use Bhaskara's equation:
[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]
Then we have two solutions:
X = (-22ft - 36ft)/2 = -29ft
This solution is negative, and X represents a width, so must be positive, then we can discard this solution.
X = (-22ft + 36ft)/2 = 7ft
Then we can conclude that the width of the walkway must be 7ft.
As of a certain date, there had been a total of 13,974 performances of two shows on Broadway, with 2480 more performances of Show A than Show B. How many performances were there of each show?
Answer:
11,772
Step-by-step explanation:
Just trying to earn points don't know if nessesarily right! just beggined few days ago
Larson's Deli orders brisket delivered every month, Last month the order was for 38 pounds and
cost $304, including delivery charges, which are always the same for any size order. The delivery
company charges $38 for delivery. How much will this month's order for 50 pounds cost, including
delivery charges?
A
$350
B.
$388
С
$400
D
$438
Answer: The answer is 388$
Step-by-step explanation:
First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds. So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:
304 - 38=266
Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:
266/38=7
Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:
y= 7x+ 38
y= 7(50) + 38= 388$
*Don't forget the dollar sign :) *
please help, I can't get it
coefficient of x²and x in 3x-2x+1
If it is ....
[tex]3 {x}^{2} - 2x + 1 = [/tex]
The coefficient of x² is (( 3 ))
& the coefficient of x is (( -2 ))
_________________________________
If it is .....
[tex]3x - 2x + 1[/tex]
[tex]x + 1[/tex]
The coefficient of x² is (( zero 0 ))
& the coefficient of x is (( 1 ))
NEED HELP ASAP, VIEW THE PHOTO FOR THE QUESTION PLZ I NEED HELP
Answer:
x=0 is the solution
Step-by-step explanation:
Notice that the graph is that of a parabola with vertex at the point (0, 0).
When we solve for x in the equation:
- x^2 = 0
then we divide by -1 both sides an get: x^2 = 0/(-1) = 0
and finally use the square root property to find the answer and we get:
[tex]x=+/- \sqrt{0} = +/- 0 = 0[/tex]
Since +0 = - 0 (this is the null value), there is only one solution: x = 0.
Can someone answer this and explain how to solve the 3 with the exponent of -4?
Answer:
3⁷
Step-by-step explanation:
When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Exponents and power,
Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-
[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]
so we apply here same,
also
[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]
so we get as,
[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]
this is the answer.
How do you write 7.28 x 104 in standard form?
4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that in 375 games, 300 were won by the team that was winning the game at the end of the third quarter. The margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter with the plus-4 adjustment applied is (Show work): (5)
Answer: 0.038
Step-by-step explanation:
Given: Total games : n= 375
Number of games won by the team that was winning the game at the end of the third quarter. = 300
The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]
Critical z-value for 90% confidence: z* = 1.645
Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]
The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]
Hence, the required margin of error = 0.038
Find the measures of the missing values.
Identify the correct list of factors for the number 24.
1, 2, 4, 6, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 7, 12, 24
1, 2, 3, 8, 12, 24
please help asap :)
Solve the equation. Then check your solution.
1. 1/4 = a +3/8
question 16 i mark as brainliest
Answer:
A
Step-by-step explanation:
Pls help for Algebra 11b = 143
Answer:
b = 13
Step-by-step explanation:
Divide 143 by 11
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
The area of a triangle is 120-meter square, if the height is equal 10 meter, what is the value of the base?
Answer:
24 meters
Step-by-step explanation:
The equation for the area of a triangle is A=1/2BxH where B is the base and H is the height. You are given the area and the height so you need to plug those values into the equation and solve.
120=1/2Bx10
240=Bx10
24=B
4(1-x)+2x=-3(x+1) solve for X
Answer:
x=-7
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
4-4x+2x=-3x-3
4-2x=-3x-3
-2x=-3x-7
x=-7
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.
Answer:
90
Step-by-step explanation: