Answer:
Step-by-step explanation:
The null and the alternative hypothesis are:
[tex]\mathbf{ H_o: \rho = 0} \\ \\ \mathbf{H_1: \rho \ne 0}[/tex]
The test statistics is as follows:
[tex]t = \dfrac{r\sqrt{n-2} }{\sqrt{1-r^2}}[/tex]
[tex]t = \dfrac{0.4 \sqrt{30-2} }{\sqrt{1-0.4^2}}[/tex]
[tex]t = \dfrac{0.4 \sqrt{28} }{\sqrt{0.84}}[/tex]
t = 2.3094
The critical value
[tex]t_{\alpha/df} = t_\ \{0.05/2 \ , \ 30-2 \} } \\ \\ = t_{0.025,28} = \pm 2.048 ( from \ the \ t-tables)[/tex]
Decision rule:
To reject [tex]H_o[/tex] if t > [tex]t_{\alpha/df}[/tex].
So since t > [tex]t_{\alpha/df}[/tex]. we reject [tex]H_o[/tex] at ∝ = 0.05
Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.
Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
How much did Samson deposit when he opened the account? Enter your answer in the box.
Step-by-step explanation:
find something open a bank account with 1.25% singing to the total amount of inches 10 NFL 2808 how much they served in the position he opened their account enter your answer is also came and there's nobody here so I'll just answer on the line so you come soon open a bank account with 1.5 interest amount of Interest some to Hereford Texas ezy842 1.25 then after then get her answer is x * 20
The amount of deposit when he opened the account will be $650.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
Then the amount of deposit when he opened the account will be given as,
A = P + I
812.5 = P + (P x 1.25 x 20)/100
812.5 = P [1 + 0.25]
812.5 = 1.25P
P = $650
The amount of deposit when he opened the account will be $650.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ2
Linear equations
Show your work
Solve for x
x-4/y+2 = 5
Answer:
X-4\y+2=5 + -34(987)=10,111
Step-by-step explanation:
Add that at the top plus your answer you got then you got it
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
Answer:
[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
I guess you want the value of n
-----------------------------------------------------------
Since n is the index of q, you can simply
ignore all p and r stuff and make it
[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]
[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]
2 + n = 5
n = 3
Which of the following statements are true? Select all that apply.
HELP PLEASE!
Round 2.261 to the nearest one
Answer: 2.
Step-by-step explanation;
2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.
Please draw it on your paper or something and show it
Answer:
Parallel lines are line AB and line CD
and line BC and line AD
Step-by-step explanation:
(notation wise, put a line on top of the letters to show it is a line segment)
drawing shown below
please give thanks by clicking the heart button :)
Last years' survey of blood type on 100 Ethiopian servals that 20 peoples have blood type A, 30 peoples have type B, 40 peoples have type O and the remaining have type AB. What is the probability of getting an Ethiopian with blood type A and AB?
Answer:
30%.
Step-by-step explanation:
The probability of getting an Ethiopian with blood type A is [tex]\frac{20}{100} \cdot 100%%[/tex], which equals to 20%, while the probability of getting an Ethiopian with blood type AB is [tex]\frac{100-40-30-20}{100} \cdot 100%[/tex], which equals to [tex]\frac{10}{100} \cdot 100%[/tex] and hence 10%. Therefore, just add the two probabilities together to get 20% +10% = 30%.
Hope this helped!
Use the figure below for items 6-7.
Х,
8
w
Z
6. If WY + XZ = 28, what is PZ? 'hint: find WY first
7. If XP = 7x - 2 and PZ = 4x + 10, what is XZ?
A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.
Merry Christmas and Happy Holidays!!! <3
Answer:
The Standard Form of the equation of a line is: Ax+By=C
Converting that, once and forevermore, into slope-intercept form, and remembering the result,
the slope m=(-A/B).
If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C. Use (2,10)
8(2)-10=C
6 = C
The equation of the line, in Standard Form, is: 8x - y = 6
An 8 inch long diagonal in a rectangle makes an angle of 22 with a length of the rectangle. What is the length of the rectangle to the nearest tenth?
I need some help lol
Answer:
the answer is c i had the same test
At the end of a pizza party, 13 of a cheese pizza and 16 of a pepperoni pizza were left. Brad ate 12 of all the leftover pizza. What fractional part of a whole pizza did Brad eat?
112
16
19
14
Answer:
i think it is c or b but go with you gut feeling
Step-by-step explanation:
The difference in the price of 2 video games is $8.25. If one video game costs $19.50, which of the answer choices could represent the price of the other video game?
Answer:
the correct answer would be 11.25 or 27.75 unless the answer choices were some type of ratio
Step-by-step explanation:
Solve each inequality.
M/13 > -6
Answer:
m>−78
Step-by-step explanation:
that's your answer:)
One week, Madelyn earned $265.60 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $199.20?
Answer:
12 hours
Step-by-step explanation:
1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.
$265.60 / 16 hours = $16.60/hr
2. Now, divide the new amount earned by her hourly wages (16.60)
199.20/16.60 = 12 hours
Which graph shows a line with a slope of 3?
Answer:
The first graph shows a slope of 3.
Step-by-step explanation:
If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.
What is this expression?
Answer:
2) 4/3
Step-by-step explanation:
(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)
4^-3 * 3^4 * 4^2 = 4^-1 * 3^4
(4^-1 * 3^4)/(4^-2 * 3^5)
(3^4)/(3^5) = 1/(3^5-4)
(4^(-1))/(4^-2 * 3^(5-4)
(4^-1)/(4^-2 * 3)
4^(-1 - (-2)) / (3)
-1 - (-2) = 1
4/3
A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50
Answer:
$362.5
Step-by-step explanation:
Given that :
x : _____ 230 ______340 ______ 590
P(x): ____0.25______0.55 _____ 0.20
To obtain the expected value E(x) of the outcome ; we can use the formula :
E(x) = Σ(x * P(x))
E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)
E(x) = 57.50 + 187 + 118
E(x) = 362.50
Solve for X. -3x-8+6x=7
Answer:
x=5
Step-by-step explanation:
1. Combine like terms to simplify the equation.
Combining like terms means to combine anything that has the same variable, degree, or no variable at all.
-3x and +6x are like terms, for example because they both have an x.
Add them together to get 3x.
2. Rewrite the equation as the simplified version of 3x-8=7.
3. Add 8 to both sides to cancel out 8 on the left side.
3x=15.
4. Divide by 3 to isolate x.
x=5
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
-3x - 8 + 6x = 7
Step 2: Solve for x
Combine like terms: 3x - 8 = 7Add 8 on both sides: 3x = 15Divide 3 on both sides: x = 5Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute: -3(5) - 8 + 6(5) = 7Multiply: -15 - 8 + 30 = 7Subtract: -23 + 30 = 7Add: 7 = 7Here we see that 7 does indeed equal 7.
∴ x = 5 is a solution of the equation.
2. If a certain disease is found in 1 out of 12,000 people, what is the probability that there will be at least one person with that disease in a town of 24,000 people
Answer:
0.865
Step-by-step explanation:
Given that:
Disease is found in 1 out of 12000 people ; probability that disease is found in atleast one out of 24000 people
Using the binomial probability formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p = 1/ 12000 = 0.0000833333
n = 24000
P(x ≥ 1) = p(x = 1) + p(x =2) + ... + p(x = 24000)
In other to save computation time, we can employ the use of an online binomial probability calculator or a Ti-89 calculator :
The result is thus : 0.86467588659
P(x ≥ 1) = 0.865
What is the distance between the points (7,5) and (7, -8) on a coordinate plane?
Answer:
It should be 13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Since 5 is positive and 8 is negative, then you can just add the two.
5 + 8 = 13
Or use the distance formula:
Distance = [tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2} }}\\\\\sqrt{(7 -7) ^{2} + (5 - (-8)) ^{2}}\\\\\sqrt{0 + 169} \\\\Approximately 13\\[/tex]
If I have 12345678910 bananas and I take 12345678910 away, how many bananas do I have left?
Have a nice day :D
12345678910 - 12345678910 = 0
the length of a rectangular sing is 4 time its width. if the sign perimeter is 20 inches. what is the sign area ?
Answer:
Area = 16 in²
Step-by-step explanation:
Represent the length with L and the width with W
We have the following given parameters:
L = 4W
Perimeter = 20
Required
Determine the area.
The perimeter is calculated as thus:
Perimeter = 2(L + W)
Substitute 4W for L and 20 for Perimeter.
20 = 2(4W + W)
20 = 2 * 5W
20 = 10W
Solve for W
W = 20/10
W = 2
Recall that:
L = 4W
L = 4 * 2
L = 8
The area is then calculated as thus:
Area = L * W
Area = 8 * 2
Area = 16
Hence, the area is 16in²
immediately Thanks but it is urgent
Answer:
the answer is lletter D MARK ME IF CORRECT
Step-by-step explanation;
Please get right lol
Answer:
-325
-125
Step-by-step explanation:
6.
Let the blank be x.
-50 + 375 + x = 0
325 + x = 0
x = -325
Answer: -325
7.
Let the blank be x.
-75 + x + 50 + 150 = 0
125 + x = 0
x = -125
Answer: -125
3x-2y=4 y=(3)/(2)x-2 determine number of solutions
Answer:
y= 3x/2-2
Step-by-step explanation:
A Geiger counter registers a count rate of 7,600 counts per minute from a sample of a radioisotope. Eighteen minutes later, the count rate is 1,900 counts per minute. What is the half-life of the radioisotope?
Answer:
9 minutes is the half life of the radioisotope.
Step-by-step explanation:
Given;
initial count rate = 7,600 counts per minute
final count rate = 1,900 counts per minute
elapsed time, t = 18 minutes
The half life of the radioisotope is calculated as;
Time (half life) --------------------------remaining count rate
0 ------------------------------7,600 counts per minute
x ------------------------------3,800 counts per minute
2x----------------------------- 1,900 counts per minute
thus, 2x = 18 minutes
x = 18 / 2
x = 9 minutes
Therefore, 9 minutes is the half life of the radioisotope.
Translate the figure 3 units left and 4 units down.
Plot all of the points of the translated figure.
You may click a plotted point to delete it.
Answer:
3,-1
Step-by-step explanation:
you go over to the left 3 and than you go down 4.
Help Me Please. and I will help you
Answer:
[tex]AB = 8.38[/tex]
Step-by-step explanation:
Given
[tex]AC = 9[/tex]
[tex]BC =10[/tex]
[tex]\angle B = 52[/tex]
Required
Determine AB
This question will be answered using the cosine law.
[tex](AB)^2 = (AC)^2 + (BC)^2 - 2(AC)(BC)\ \cos \angle B[/tex]
Substitute the expected values
[tex](AB)^2 = 9^2 + 10^2 - 2 * 9 * 10 * cos(52)[/tex]
[tex](AB)^2 = 81 + 100 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* 0.6157[/tex]
[tex](AB)^2 = 70.174[/tex]
Take square roots of both sides
[tex]AB = \sqrt{70.174[/tex]
[tex]AB = 8.38[/tex] -- approximated
Suppose a blue car is 1/2 mile south of an intersection, driving north towards the intersection at 40 mph (miles per hour). At the same time, a red car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The the straight-line distance between the blue and red car is increasing at a rate of 15 mph. What is the speed of the red car?
Answer:
dx/dt = - 18,79 mph
Step-by-step explanation:
The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse
If we call x and y distances between blue car and red car respectively and L the hypothenuse by Pythagoras theorem we have:
L² = x² + y² (1)
Tacking derivatives on both sides of the equation
2*L*dL/dt = 2*x*dx/dt + 2*y*dy/dt
And from equation (1)
L² = (0,5)² + (0,5)² ⇒ L = √(0,5)² + (0,5)² ⇒ L = 0,5*√2
By subtitution in equation (2)
2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40
(15*√2 - 40 ) / 1 = dx/dt [mph]
dx/dt = - 18,79 mph
Note the( - ) sign is equivalent to say that the car is driving away from the intersection point