The test statistics is used to determine if the anxiety medication can happen under a null hypothesis
The test statistics that is an appropriate hypothesis test is [tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]
How to determine the test statistic40 milligrams of medication
Patients = 60
Lower stress level patients = 21
The mean of this medication is:
[tex]\bar x = \frac{x}{n}[/tex]
So, we have:
[tex]\bar x_1 = \frac{21}{60}[/tex]
[tex]\bar x_1 = 0.35[/tex]
75 milligrams of medication
Patients = 85
Lower stress level patients = 34
The mean of this medication is:
[tex]\bar x = \frac{x}{n}[/tex]
So, we have:
[tex]\bar x_2 = \frac{34}{85}[/tex]
[tex]\bar x_2 =0.4[/tex]
The test statistic is then calculated as:
[tex]z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}[/tex]
The equation becomes
[tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]
Hence, the test statistics that is an appropriate hypothesis test is [tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]
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The answer is not B.
can someone pls help me with this
Answer:
Okay so basically the variables are y and x. Variables in math are just numbers next to a number to represent an unknown number. The coefficient is the number in-front of a variable. The constant would be 5. Think of constants as numbers with variables or negatives or anything. They are pretty much just there. Now as for terms. Terms are just numbers that are part of the equation. Hope this helped!
Step-by-step explanation:
The sum of two numbers is 12 and half of them is twice the other.
What numbers are they?
Answer:
4+8 I think.. this is poorly worded question so I am not sure it might be something smaller like 10+2
Step-by-step explanation:
What is the value of x & y? *
1 point
x = 11.25 and y = 18.75
x = 12.25 and y = 18.75
x = 11.25 and y = 16.45
x = 14.28 and y = 17.95
x = 10.25 and y = 20.75
Answer:
x = 11.25 and y = 18.75
Step-by-step explanation:
ΔABD ≅ ΔBCD
⇒ 20 : 15 = 15 : x
⇒ 20/15 = 15/x
⇒ x = 15 × 15/20
⇒ x = 11.25
⇒ 25 : 20 = y : 15
⇒ 25/20 = y/15
⇒ y = 25/20 × 15
⇒ y = 18.75
Noa is thinking of two fractions that a sum of 3/5. Each has a numerator of 1. What are the denominators of the fractions
Answer:
The denominators of the fractions are 2 and 10.
The fractions with numerators of 1 that have sum of 3 / 5 is calculated below
The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y
1 / x + 1 / y = 3 / 5
Therefore,
1 / x + 1 / y = 3 / 5
y + x / xy = 3 / 5
cross multiply
5y + 5x = 3xy
Using hit and trial method,
5(2) + 5(10) = 3(10)(2)
10 + 50 = 60
60 = 60
The values are same.
Therefore, the denominators are 2 and 10.
Step-by-step explanation:
Let f(x)=x-2 and g(x) = x^3 . What is (f•g)(2)
Answer:
f(x)=x2
g(x)=3x+2
(f+g)(x)=x2+3x+2=(x+1)(x+2)
Step-by-step explanation:
Explanation:
select the correct word form for 444,404
Answer: four hundred forty-four thousand four hundred four.
Step-by-step explanation: Student instructed to give the word form of a given number.
Answer:
four-hundred forty-four thousand four-hundred and four
Step-by-step explanation:
Because i know this
mathematics help ...
no links
Answer:
Ok ------------------
a.
A student writes an explicit formula to represent the value of the
computer after n years below. What is the student's error? Explain. (2 points)
an= $1,500 (-15)n-1
Using exponential function concepts, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the initial value of the computer is of A(0) = 1500, while it decays at a rate of 15% a year, hence r = 0.15 and the equation is:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 1500(0.85)^t[/tex]
Or equivalently, as a sequence:
[tex]a_n = 1500(0.85)^{n-1}[/tex]
Hence, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.
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Let f(x) = 22 + 3.0 +2
What is the average rate of change of f(x) from 3 to 6?
LEVEL:EASY. MATH: WHICH SITUATIONS SHOWS INTERSECTING LINES?
CHOOSE ANSWER:
A. HANDS OF A CLOCK AT 9:00.
B. CORNER OF A BUILDING.
C. HORIZONTAL BARS.
D. CAPITAL LETTER X.
PLEASE HELP ME
Answer:D) because x had two lines that split through each other.
Step-by-step explanation:
i neeeeeeeeeeeeeeeeeeddddddddddddddd helpppp
A company sells each product they make for $90.00. They pay $2,300.00 in monthly costs, such as rent and bills, as well as $75.00 in manufacturing costs per unit. If the company sold 495 units last month, what was their total profit?
A.
$34,825.00
B.
$6,610.00
C.
$42,175.00
D.
$5,125.00
Answer:
Option D
Step-by-step explanation:
Given the following question:
Product costs: $90
Monthly bills: $2,300
Manufacturing costs: $75
How much profit did they make in one month if they sold 495 units?
In order to find the answer, we first need to multiply the cost of the product by the units sold last month, then subtract the bills/manufacturing costs.
One unit = 90 dollars
495 units sold last month
[tex]90\times495=44550[/tex]
[tex]=44550[/tex]
The company made 44,550 from the product last month.
Now apply the fees/costs:
2,300 dollars in monthly costs
75 dollars in manufacturing costs PER UNIT
[tex]44550-2300=42250[/tex]
[tex]75\times495=37125[/tex]
[tex]42250-37125=5125[/tex]
[tex]=5125[/tex]
Which means the company made a total profit of "$5,125 dollars" or option D last month.
Hope this helps.
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Rational Number: -9, 5/8, 30/√25
Irrational Number: √70, π
4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?
Answer:
175
Step-by-step explanation:
Divide. 136.50 divided by 78 then times it by 100 and you get it 175
The percent increase is 56.41%.
what is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage. The percentage increase formula is provided by:
percentage increase = (increase in amount /original amount ) x 100
Given:
Bill in may month- 78
Bill in June month = 122
So, change in amount= 122 - 78 = 44
So, percent increase = 44/ 78 x 100
percent increase = 0.5641 x 100
percent increase = 56.41%
Hence, the percent increase is 56.41%.
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The scale model of a car is 5% of the size of the actual car. The length of
the model is 9 inches. How many feet long is the actual car? Show your work below.
Answer:
45 actual car
Step-by-step explanation:
magaceega faatima
Naomi's car can go a maximum
of 125 miles on 1 tank of gas.
She has already driven 5 miles
on her current tank. If it takes
her 30 miles roundtrip to get
to work, how many times can
she drive to work before she
has to fill
up
the tank?
Answer:
89 she drive to work befor she has to fill
Answer:
4 round tripes
Step-by-step explanation:
First, subtract the miles she has already driven
125 - 5 = 120
Then divide the difference of the miles she has already driven
120 ÷ 30 = 4
Examine the two boxes.
Box A
Box B
How much greater is the surface area of Box A than Box B?
Answer:
Box A is greater than Box B by 34.
Step-by-step explanation:
First, you need to start with finding the surface area of every individual side on Box A we have side A, B, and C. After finding the individual area for each side, double each area because there is two of each side. This is the the same method you apply to Box B.
Then subtract the surface area of Box B from Box A.
What is the equation of the blue line?
Answer:
y = 2x + 3
Step-by-step explanation:
Get any two points on the line, say (0, 3) and (2, 7)
Slope = (7 - 3)/(2 - 0) = 4/2 = 2
y = 2x + b
use (0, 3), x = 0, y = 3
3 = b
so the equation is y = 2x + 3
Someone Please Help i need this awnser
Answer:
a1 = 8
a2 = 6
a3 = 4
a4 = 2
a5 = 0
So it would be: 8, 6, 4, 2, 0,...
Step-by-step explanation:
Just plug the term number into the equation.
an = -2n + 10
First term:
a1 = -2(1) + 10 = 8
Second term:
a2 = -2(2) + 10 = 6
Third term:
a3 = -2(3) + 10 = 4
and so on...
Hope this helped! :)
Find a polynomial equation with real coefficients that has the given roots.
3 and -9i
x^3-?x^2+?x-?=0
Answer:
Step-by-step explanation:
(x - 3) (x - 9i) (x + 9i) = 0
(x - 3) (x² + 81) = 0
x³ - 3x² + 81x - 243 = 0
fill in the equation please
Answer:
57753.
Step-by-step explanation:
Basta pm na Lang.
Find the slope of the line passing through the points (-4,8) and (-8,5)
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Slope formula:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope
[tex] = \frac{8 - 5}{ - 4 - ( - 8)} [/tex]
[tex] = \frac{3}{ - 4 + 8} [/tex]
[tex] = \frac{3}{4} [/tex]
Can you help me please understand this question
Answer:
D
Step-by-step explanation:
ey/n + k = t
To get y on its own, the first thing we need to do is subtract k from both sides to get ey/n = t - k. Next, we can multiply both sides by n to get ey = n(t - k). Finally, we can divide by e to get y = n(t - k)/e
Hope this helps!
It takes 5 minutes for an individual to shower. Of each person showers twice per day, approximately how long does each person spend showering in a year?
Answer:
c
Step-by-step explanation:
Beejjj
Each person spends 2.53 days showering in a year.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Time taken by one person to shower = 5 minutes.
Also, one person take shower 2 times in a day.
Total time taken to shower twice per day = 5 x 2 = 10 minutes.
Since, in one year total number of days = 365.
Time taken to shower in 365 days = 365 x 10 = 3650 minutes.
In one day total number of minutes = 24 x 60 = 1440 minutes.
Total days = 3650 / 1440 = 2.534722 days = 2.53
Person showers for 2.53 days in a year.
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what is the distance between the points C(2,-3) and d(10,-3)
You wish to test the following claim ( Ha) at a significance level of α=0.02
H0:μ1=μ2
Ha:μ1≠μ2
You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal.
You obtain a sample of size n1=16 with a mean of M1=66.2 and a standard deviation of SD1=10.6 from the first population. You obtain a sample of size n2=26 with a mean of M2=68.8 and a standard deviation of SD2=12.9 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom. The degrees of freedom is the minimum of n1 - 1 and n2 - 1. (Report answer accurate to four decimal places.)
p-value =
Answer:
Since we assume the variances of the two populations are the same, we can use the pooled variance in the computation of the t-statistic:pooled variance (Sp^2) = (n1-1)s1^2 + (n2-1)*s2^2 / (n1 + n2 - 2) = (13-1)*19.4^2 + (19-1)*12.6^2 / (13 +19- 2) = 245.8Sp = 15.67t-calc = (mean1 - mean2)/ (Sp * sqrt(1/n1 + 1/n2)) = (83.6-72.9)/(15.67 * sqrt(1/13 + 1/19) = 1.897since this is a right tailed test, the p-value = P(t > 1.897) at n1 + n2 - 2 = 30 degrees of freedom = 0.0337so would not reject.
Step-by-step explanation:
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Identify the percent of change as an increase or a decrease. 9 points to 4 points
Answer:
Decrease of 55.6%
Step-by-step explanation:
Because it clearly decreased,
9 - 4 / 9
5 / 9
55.6% decrease
Out of 3500 students of a school, only 36% passed. How many students failed?
Answer:
2240
Step-by-step explanation:
If 36% out of 100% passed, then
100% - 36% = 64% failed
64% of 3500 = 0.64 × 3500 = 2240
HELP ME OUT PLS!!!!!!
This is the same triangle you used for Question 2.
Triangle ABC has angle measures as shown below.
Using the information in the diagram, and the value of x that you calculated in Question 2, find the measure of Angle C.
In your answer, give the measure of Angle C and explain how you calculated it.
here it is the sum of interior angles of a triangle =180
Answer:
35+3 x+2 +52=180
35 +3x+6+52=180
93+3x=180
3x=87
x=87
---
3
x= 29
c=3[x+2]
substituding
c=3[29+2]
c=3x31]
c=93
35+93+52=180
i wrote it down so yall can copy and paste
Please give me right answer i mark you brainliest if you answer fast , At a stationery sale, pencils were sold in packets of 4 and erasers were sold in packets of 6. The cost of a packet of pencils was the same as the cost of a packet of erasers. Mrs Tan bought 12 pencils for $6. What was the cost of a packet o erasers?
Answer:
The answer is $2
I packet has 4 pencils so 12 pencils is 3 packets
if 3 packets cost $6 1 packet costs $2 and since 1 packet of pencils is the same price as one packet of erasers 1 packet of erasers cost $2
What is the scale factor in the dilation?
10
y
9
8
image
7
6
5
4
NA
3 pre-image
2
1 -
+
12
3
4
5
B 7
8 9 10 x
Answer:
the scale factor in the dilation is 1/3
Step-by-step explanation:
image-9
preimage -3
3/9 = 1/3
Answer:1/3 or c
Step-by-step explanation:
just got it right in edgn gimme brain pls