Answer:
1) μ = 8000
2) H0: μ ≥8000
3) Ha: μ < 8000
4) α= 0.10
5) If the sample size is at least 15 a student's t test can be used.And we assume that the variances of the two independent groups are almost equal.
6) t= x`- μ/ s.d/ √n = -0.816
7) The P- value = 0.214083.
8) The critical region is [-∞, -1.345]
9) Fail to Reject the Null Hypothesis
Step-by-step explanation:
1) The population characteristic is the population mean =μ = 8000
2) The claim is that the addition of nitrates results in a decrease in the mean rate of uptake i.e μ < 8000
The null hypothesis is that μ ≥ 8000
2) Null hypothesis: H0: μ ≥8000
3) Alternative hypothesis: Ha: μ < 8000
4) The significance level alpha = α= 0.10
5) If the sample size is at least 15 a student's t test can be used.And we assume that the variances of the two independent groups are almost equal.
Calculating mean and standard deviation using a calculator
Sample Size, n: 15
Mean= ∑ x/n = x`=: 7788.8
∑ x/n= 116832/15
St Dev, s.d(n-1) : 1002.4307
6) Test Statistic: student's t Test with d.f = n-1 = 14
t= x`- μ/ s.d/ √n
t= 7788.8-8000/1002.4307/√15
t= -0.816
7) The P- value for the observed t value is 0.214083.
The result is not significant at p < 0.10. H0 is accepted.
8) The Critical value for one sided t test at α =0.1 with 14 d.f is less than t= -1.3406
Hence the critical region is [-∞, -1.345]
Since the calculated t -0.816 value does not fall in the critical region [-∞, -1.345] there is not sufficient evidence to reject H0
9) Fail to Reject the Null Hypothesis
Sample does not provide enough evidence to support the null hypothesis and conclude that the data suggest that the addition of nitrates do not result in a decrease in the mean rate of uptake. The claim is rejected.
When you reflect an ordered pair over the origin, what happens to the order pairs?
A The x value stays the same and the y changes.
The y value stays the same and the x changes.
The value for both the x and the y changes.
0 Nothing
Answer :A
explaination: when we reflect an ordered pair over the origin, we can it write like this (0,y)
{y; 0<y<infinite }
ex: (0,1)
(0,2)
(0,3) etc
solve 9x-10÷2=x+9
explain how
Answer:
x = 4
Step-by-step explanation:
20% of a restaurant customers order the chef’s special. 230 customers are anticipated to dine at the restaurant tonight. The standard deviation for this binomial distribution is? Round your answer to 3 decimal places
Answer:
i don't knwo
Step-by-step explanation:
i
Will give brainlst
Have a nice day
Answer:
x = 3.5
y = 8x + 12
Step-by-step explanation:
1) Given the equation
12x = 4(x+2)+20
Expand
12x = 4x+8+20
12x - 4x = 28
8x = 18
x = 28/8
x = 3.5
Hence the value of x is 3.5
2) The standard form of equation in slope intercept form is y = mx+c
m is the slope
c is the y intercept
Get the y-intercept
Substitute m = 8 and (0, 12) into y = mx+c
12 = 8(0)+c
12 = c
c = 12
Get the required equation
Recall that y = mx+c
y = 8x + 12
This gives the required equation
Evaluate the function for the indicated values of x.
f(x)=
2x + 1 x 3-5
x? -5
3- X x 25
f(-10) =
f(2)=
f(-5) =
f(-1) =
f(8) =
DONE
Answer:
f(2)
Step-by-step explanation:
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 22% of the employees needed corrective shoes, 29% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Answer:
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
Step-by-step explanation:
I am going to solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Employee needed corrective shoes.
Event B: Employee needed major dental work.
22% of the employees needed corrective shoes
This means that [tex]P(A) = 0.22[/tex]
29% needed major dental work
This means that [tex]P(B) = 0.29[/tex]
3% needed both corrective shoes and major dental work.
This means that [tex]P(A \cap B) = 0.03[/tex]
What is the probability that an employee selected at random will need either corrective shoes or major dental work?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values that we have:
[tex]P(A \cup B) = 0.22 + 0.29 - 0.03 = 0.48[/tex]
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36
12. The value of 0.23 +0.22 is
Answer:
0.45
Step-by-step explanation:
I hope this helps :)
Answer:
x= 0.2323 1
10x =2.323 2
100x= 23.23 3
on subtracting 1 from 3
99x= 23
x = 23/99
similarly 0.22 will be 22/ 99
so by adding 23/99 and 22/ 99 we get required value
23/99 + 22/99 = 45/ 99
Can you help me solve this question
Answer:
t = 32
Step-by-step explanation:
The given equation is :
[tex]24=\dfrac{3}{4}t[/tex] ....(1)
Where
t is the number of guests attending the catered event.
The reciprocal of [tex]\dfrac{3}{4}[/tex] is [tex]\dfrac{4}{3}[/tex].
Multiplying both sides by the reciprocal of [tex]\dfrac{3}{4}[/tex].
[tex]24\times \dfrac{4}{3}=\dfrac{3}{4}\times \dfrac{4}{3}t\\\\t=8\times 4\\\\t=32[/tex]
Hence, 32 guests will attend the catered.
SOMEONE PLS HELP ASAP
Answer:
a. (2,2) (4,4) (6,6)
b. start on point (2,2) and go up 2 and over 2 or (x·1, y·1)
c. Ever y-coordinate on the y-axis equals 17.
In a bowl, there are gum balls. There are 5 red, 7 blue, 3 yellow and 11 purple.
What is the ratio of the following?
10. Purple to Red _____
11. Blue to Yellow _____
12. Yellow to Red _____
13. Purple to Blue _____
A. 11 to 5
B. 11 to 7
C. 3 to 5
D. 7 to 3
Answer:
10 is A
11 is D
12 is C
and 13 is B
Solve for x in the equation x2 + 4x-4-8.
O x= -6 or x = 2
O x--2+/- 2_/2
O x=-2 or x = 6
O x-2+/-2_/3
The solution of the equation is x= -6 or x = 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have the Equation x²+ 4x -4 - 8 or x² + 4x - 12.
Now Factorizing the equation we get
x² + 4x - 12
= x² + 6x - 2x - 12.
= x (x+ 6) - 2( x+ 6)
= (x -2) (x+ 6)
So, x-2 = 0 or x+ 6= 0
x= 2 or x= -6
Thus, the solution of the equation is x= -6 or x = 2.
Learn more about Equation here:
https://brainly.com/question/29657992
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help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong
9514 1404 393
Answer:
5/8 or 5/9
Step-by-step explanation:
The fraction will be exactly ...
5/(8 1/2) = 10/17 ⇒ (8 1/2)×(10/17) = 5
__
The fraction will be approximately ...
5/8 or 5/9
The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...
(8 1/2) × (5/denominator) ≈ 5
(8 1/2)/(denominator) ≈ 1 . . . . . . . . divide by 5
If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.
(8 1/2) × (5/8) = 5.3125 ≈ 5
(8 1/2) × (5/9) = 4.722... ≈ 5
Either 5/8 or 5/9 will give a product of about 5.
Answer:
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
I think it's the second one y=400x I'm not sure . I hope that I helped you
Answer:
[tex]y=50x[/tex]
Why:
We can tell the slope because for every hour, the car travels 50 miles by simply looking at the graph. This would be a slope of [tex]\frac{50}{1}[/tex], or 50. Because the y-intercept is 0, no intercept appears on the equation. Good luck!
Is the following relationship a function?
Answer:
yes it's a inverse function
Answer:
Yes it is
Step-by-step explanation:
To remeber, if none of the lines overlap or crosses each other, its a function.
Find 1st 2nd 3rd 4th and 10th nTH term. rule is 3n+4
Answer:
7, 10, 13, 16 and 34
Step-by-step explanation:
[tex]let \: t_{n} = 3n + 4 \\ when \: n = 1 \\ t_{1} = 3.1 + 4 = 3 + 4 = 7 \\ \\ when \: n = 2 \\ t_{2} = 3.2 + 4 = 6 + 4 = 10 \\ \\ \ when \: n = 3 \\ t_{3} = 3.3 + 4 = 9+ 4 = 13 \\ \\ when \: n = 4 \\ t_{4} = 3.4 + 4 = 12+ 4 = 16 \\ \\ when \: n = 10 \\ t_{10} = 3.10 + 4 = 30+ 4 = 34 \\ \\ [/tex]
Thus the 1st, 2nd, 3rd, 4th and 10th terms are 7, 10, 13, 16 and 34 respectively
Megan used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but it does not. Friendly Bank Reconciliation Worksheet Amount 1. Enter the statement closing balance. $ 487 13 2. Enter the sum of any outstanding deposits or credits. $ 186 68 3. Add lines 1 and 2. $ 673 81 4. Enter the sum of any outstanding checks or debits. $ 174 01 5. Subtract line 4 from line 3. $ 499 80 6. Enter your checkbook balance. $ 362 60 Note: Lines 5 and 6 should be equal at the end of the reconciliation. Megan wants to first look for a single transaction that could have caused this problem with reconciliation. What is the amount of the transaction that Megan should look for in order to find a solution to the problem? a. $325.79 b. $137.20 c. $12.67 d. $313.20 Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Answer:
B. $137.20
Step-by-step explanation:
(5+2×8)/6=x(4+6) what is the value of x ?
Answer:
Step-by-step explanation:
Answer:
x= 7/20
Step-by-step explanation:
(5+2×8)/6=x(4+6)
(5+16) /6 = 4x+6x
21/6=10x (divide 21/6 by 3)
7/2=10x
7/2×1/10= x
x= 7/20
Hope this helps :)
Keep Smiling
Can someone please explain the answer step by step pls.
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10
Plssssss I’m being timed
Answer: the answer is c
Step-by-step explanation:
In ΔSTU, the measure of ∠U=90°, the measure of ∠S=16°, and TU = 5.9 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
21.4
Step-by-step explanation:
29.
In science class, Jennifer learned that the formula
C=(F-32) is used to convert the temperature in
degrees Fahrenheit (F) to the temperature in
degrees Celsius (C). What are the degrees Celsius
(C) equal to 113 degrees Fahrenheit (F)?
0
50
-50
80
A. 32
B. 45
C. 113
D. 235.4
MAFS.6.EE.1.2.c
Answer:
Step-by-step explanation:c.
PLEASE HURRY PLEASE :(
Answer:
Step-by-step explanation:
height after x seconds = -16x² - 2x + 600
-16x² - 2x + 600 = 450
16x² + 2x - 150 = 0
8x² + x - 75 = 0
Quadratic formula
x = [-1 ± √(1² – 4·8(-75))] / [2·8]
= [-1 ± √2401] / 16
= [-1 ± 49] /16
= 3, -3⅛
-3⅛ is an extraneous solution, so x = 3 seconds.
Select the right one that shows an isosceles right triangle.
Answer:
A or top left
Step-by-step explanation:
Isosceles triangles should have a perpendicular bisector from an angle to the opposite base.
The top left has that factor.
A=?
C=?
1= 57, find angle 4
3= 63 find angle 2
2= 2x+6 and 3=3x-1 find x
AD=6cm and BD=12cm find BC
Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
James earns $22.00/hour. One week, he worked 40 regular hours and 5 hours of overtime. What is his GROSS pay?
Answer:
$1,045
Step-by-step explanation:
40×22=880
22÷2=11
11+22=33
33×5=165
165+880=1,045
What is the value of x in the equation of 4x + 1.3 = - 7.9
Answer:
x = -2.3
Step-by-step explanation:
4x + 1.3 = -7.9
First we want to combine the like terms.
Subtract 1.3 from both sides.
4x = -9.2
Now we want to isolate x by dividing both sides by 4.
x = -2.3
Check your answer by plugging x back into the original equation.
4x + 1.3 = -7.9
4(-2.3) + 1.3 = -7.9
Multiply.
-9.2 + 1.3 = -7.9
Add.
-7.9 = -7/9
Your answer is correct.
Hope this helps!
Step-by-step explanation:
4x + 1.3 = - 7.9
4x = - 7.9 - 1.3
4x = - 9.2
x = - 9.2/4
= - 2.3
What is the value of x?
Step-by-step explanation:
[tex] \frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75[/tex]
Answer:
75 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles always add up to 180 degrees. So, for example, A+B=180 and C+B=180.
Therefore, A+D=180.
Because we're given that angle A is (x+30) degrees and angle D is x degrees, we can plug them into the below equation:
[tex](x+30)+x=180[/tex]
Open up the parentheses
[tex]x+30+x=180\\2x+30=180[/tex]
Subtract both sides by 30
[tex]2x-30=180-30\\2x=150[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{150}{2} \\x=75[/tex]
Therefore, x is equal to 75 degrees.
I hope this helps!
Compare and contrast expanding and simptying
algebraic expressions with simplifying numeric
expressions. For example, compare simplifying 3(x - 2) +
(x - 1) with 3(5 - 2) + (5 – 1)
Answer:
With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!Answer:
Algebraic expressions have terms, Terms must be like to add and subtract, You can’t always follow the order of operations with algebraic expressions.
Step-by-step explanation: