Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
[tex]H_o : p = 0.05[/tex]
Versus
[tex]H_1 : p \ne 0.05[/tex]
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is [tex]p-value = 0.5949[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{13}{300}[/tex]
=> [tex]\^ p = 0.0433[/tex]
Generally the standard Error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1- p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.05(1- 0.05)}{300} }[/tex]
=> [tex]SE = 0.0126[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{SE}[/tex]
=> [tex]z = \frac{0.0433 - 0.05 }{0.0126}[/tex]
=> [tex]z = -0.5317[/tex]
From the z table the area under the normal curve to the left corresponding to -0.5317 is
[tex](P < -0.5317 ) = 0.29747[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z < -0.5317 )[/tex]
=> [tex]p-value = 2 * 0.29747[/tex]
=> [tex]p-value = 0.5949[/tex]
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with 90% confidence?
Answer:
68
Step-by-step explanation:
To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;
SE = zσ/√n
z is the z score at 90% confidence
σ is the standard deviation
n is the sample size
SE is the mean weight loss
Given
z = 1.645
σ = 10
SE = 2
Required
sample size n
Substitute into the given equation;
SE = zσ/√n
2 = (1.645)(10)/√n
2 = 16.45/√n
√n = 16.45/2
√n = 8.225
n = (8.225)²
n = 67.650625
Hence the total sample should be about 68
Which expression shows 0.027 written in expanded form?
A
(2 x 10) + (7 X 1)
B.
(0 + 2 + 7) X 0.001
С
(2 x 0.1) + (7 x 0.01)
D
(2 x 0,01) + (7 % 0,001)
Answer:
D. (2 x 0,01) + (7 % 0,001)
Answer:
jhghgfg
Step-by-step explanation:
PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:
a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water
Answer:
a i think
Step-by-step explanation:
Someone help me please
Find the measure of 0.(to the nearest tenth)
Answer:
Y
Step-by-step explanation:
Yes
An equation is a mathematical statement composed of algebraic and/or numeric expressions set equal to each other.
True
False
Answer:
True,
Definition of equation for you: a statement that the values of two mathematical expressions are equal (indicated by the sign =).
A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
To learn more about exponential function, please check: brainly.com/question/18760477
A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?
Answer: $50
Step-by-step explanation:
Rounding the numbers, you get 70-20, which equals $50
Is 3/4 is a constant or variable or both
Answer:
Constant
Step-by-step explanation:
It cannot be a variable because there is no variable. Variables are x,y, z and etc.
Answer:
The answer is constant, variables are letters that are added to numeral like terms.
Step-by-step explanation:
intercept from the lines
Answer:
I mean tbh its pretty easy
The y intercept is: (0, 2.5)
The x-intercept is: (3.5,0)
just look at the graph lol but if im
wrong sorry
Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?
9514 1404 393
Answer:
460 feet
Step-by-step explanation:
The tangent relates the measures to the angle:
tan(angle of elevation) = (Godzilla height)/(distance away)
tan(49°) = (Godzilla height)/(400 ft)
Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft
Godzilla is 460 feet tall.
Answer:
godzilla is 393 foot tall
Step-by-step explanation:
536-248 answer and show your work
Answer:
288
Step-by-step explanation:
288+248=536
Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and y represent the number of nickels
Note: Consider we need to find each type of coins he has.
Given:
Erin has quarters and nickels for a total of 16 coins.
The value of his coins is $2.60.
To find:
The number of each type of coins.
Solution:
Let x represent the number of quarters and y represent the number of nickels.
According to the question,
Total coins : [tex]x+y=16[/tex] ...(i)
Total value : [tex]0.25x+0.05y=2.60[/tex] ...(ii)
Multiply equation (i) by 0.25 and subtract the result from (ii).
[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]
[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]
[tex]-0.20y=-1.40[/tex]
Divide both sides by -0.20.
[tex]y=7[/tex]
Put y=7 in (i).
[tex]x+7=16[/tex]
[tex]x=16-7[/tex]
[tex]x=9[/tex]
Therefore, the number of quarters is 9 and number of nickels is 7.
A grocery store sold 250 pounds of fruit in May. This is 5 times more than it sold in January. How many pounds of fruit did the grocery store sell in January?
Answer:
50 pounds of fruits sold January
Step-by-step explanation:
5X = 250
divude both sides by 5 to get x
x = 50
A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet, what are the
lengths of each side of the playground?
Answer:
The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
Step-by-step explanation:
At first, let us find the perimeter of the playground
∵ Perimeter of a triangle is P = S1 + S2 + S3
∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft
∴ S1 = 2x, S2 = x - 1, S3 = x
→ Substitute them in the rule of the perimeter above
∵ P = 2x + x - 1 + x
→ Add the like terms
∴ P = (2x + x + x) - 1
∴ P = 4x - 1
∵ The perimeter of this playground is 27 feet
∴ P = 27
→ Equate the two values of P
∴ 4x - 1 = 27
→ Add 1 to both sides
∴ 4x - 1 + 1 = 27 + 1
∴ 4x = 28
→ Divide both sides by 4
∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
→ Substitute the value of x in each side to find their lengths
∵ S1 = 2(7)
∴ S1 = 14 feet
∵ S2 = 7 - 1
∴ S2 = 6 feet
∵ S3 = 7 feet
∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
2.6x 0.47 pls show your work I need help
Answer:
2.6 x 0.47 = 1.222
Step-by-step explanation:
What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25
Answer:
25
Step-by-step explanation:
Answer:
it is 25
Step-by-step explanation:
see the image bellow please help 30 points
What is the value of x in the equation 4(2x − 1) = 2x + 35?
Answer:
x = 6.5 or 13/2
Step-by-step explanation:
4(2x − 1) = 2x + 35
distribute the 4 to 2x - 1
8x - 4 = 2x + 35
subtract 2x
6x - 4 = 35
add 4
6x = 39
divide by 6
x = 6.5 or 13/2
how to solve the equation 8b - 12 = 5b
Answer:
b = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
8b - 12 = 5b
Step 2: Solve for b
Subtract 5b on both sides: 3b - 12 = 0Add 12 on both sides: 3b = 12Divide 3 on both sides: b = 4Step 3: Check
Plug in b to verify it's a solution.
Substitute: 8(4) - 12 = 5(4)Multiply: 32 - 12 = 20Subtract: 20 = 20And we have our final answer!
Write the slope-intercept form of the equation of the line that passes through the given points.
(1, 1) and (-3, -3)
Answer:
Slope=1
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where x1,y1= (1, 1) and X2,y2=(-3, -3)
Slop=1+3/1+4
=4/4
=1
So the slope is 1.
Answer:
1
Step-by-step explanation:
Here,
x₁ = 1 and x₂ = (-3)
y₁ = 1 and y₂ = (-3)
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)
= 1 + 3 ÷ 1 + 3
= 4 ÷ 4 = 1
Thus, Slope is 1
-TheUnknownScientist
Jasmine bought 3 chocolates for Dhs.12.34 and her brother Alan bought 2 packets of biscuits for Dhs 3.5 each. How much they paid in total?
Answer:
$39.02
Step-by-step explanation:
$12.34 *3=37.02
$3.5*2=7
37.02+7=39.02
A 7-foot piece of cotton cloth costs $7.56. What is the price per inch?
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
Answer: 0.09 per inch because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56
Step-by-step explanation:
Find the value of r so the line that passes through each pair of points has the given slope.
Point 1:(-7,2)
Point 2:(-8,r)
m = -5
Answer:
7
Step-by-step explanation:
[tex]\frac{r - 2}{-8+7} = -5[/tex]
r - 2 = - 5(- 1) ⇒ r = 7
Find f(3) if f(x) = 4x - 10
Multiple choice -
I’ll appreciate it if someone helps
Answer:
2
Step-by-step explanation:
given f(x) = 4x-10
to find f(3), we simply substitute x = 3 into the function:
f(x) = 4x-10
f(3) = 4(3)-10
= 12-10
= 2
Answer:
2
Step-by-step explanation:
Since f(3), replace all the x's with 3s
f(3) = 4(3) - 10
What decimal place value is .09 in?? Please
Answer:
hundresths is correct
Answer:
Step-by-step explanation:
.09 the 9 is hundredth place the 0 is tenth place
What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85
Answer:
0.55
Step-by-step explanation:
all you do is subtract
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
A baker made 30 pastries in 2 1/2 hours. how many pastries did the baker make in one hour?
Answer:
12 pastries
Step-by-step explanation:
30/2.5 = 12
check:
12(1 hour) +12(1 hour) +6(Half hour) = 30
2 with the exponent of 2 ⋅(45÷9) - 3
i need the answer
M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
Given
[tex]R = (-2,-3)[/tex]
[tex]M = (1,0)[/tex]
Required
Determine the coordinates of S
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (1,0)[/tex]
[tex](x_1,y_1) = (-2,-3)[/tex]
Substitute these values in the above formula:
[tex](1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
Multiply through by 2
[tex]2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
[tex](2,0) = (-2 + x_2,-3+y_2)[/tex]
By direct comparison:
[tex]2 = -2 + x_2[/tex] and [tex]0 = -3 + y_2[/tex]
Solving for x2
[tex]2 = -2 + x_2[/tex]
[tex]x_2 = 2 + 2[/tex]
[tex]x_2 = 4[/tex]
Solving for y2
[tex]0 = -3 + y_2[/tex]
[tex]y_2 = 0 + 3[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of S is: [tex](4,3)[/tex]