Answer:
The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.
Step-by-step explanation:
The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.
This means that at the null hypothesis we test that the proportion is 47% = 0.47, that is:
[tex]H_0: p = 0.47[/tex]
And at the alternate hypothesis, we test that the proportion is different from 47%, that is:
[tex]H_a: p \neq 0.47[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
47% is tested at the null hypothesis:
This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]
A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1300, X = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]
[tex]z = 2.17[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the proportion differs from 0.47 by at least 0.5 - 0.47 = 0.03, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of Z = -2.17
Z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.
A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?
Weisen Sie bei folgenden Rechnungsbeträgen die Mehrwertsteuer aus!
a) 124,30 € b) 69,30 c) 12,50 €
Answer:
hj0
Step-by-step explanation:
pls help me find the missing dimension
Answer:
4
Step-by-step explanation:
2 times 3 times ?
=4
40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.
a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared
Answer:
a.
Step-by-step explanation:
diameter 7cm
radius 3.5cm
area =πr²
=22/7* 3.5²
=38.47cm²
circumference=πd
=22/7* 7
=22cm
Answer:
a. C = 21.98cm and A = 38.47cm squared
Step-by-step explanation:
Diameter is twice the radius. Therefore radius, r, is 3.5cm.
Circumference = 2πr =2π(3.5)=7π=21.98cm
Area=πr²=π(3.5²)=12.25π=38.47cm²
Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax
Answer:
[tex]105(.15)+x=170[/tex]
Hope this helps, have an amazing day!
Answer:
144.50 so he got 25.50 Dollars off
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angles and XWY and STR
Step-by-step explanation:
These two angels are alternate exterior angels because:
- They are on different sides of the transversal (the line intersecting the two parallel lines)
- They have the same angle measure
- They are exterior, meaning they are on the outside, not inside (interior)
Hope this helps!!! :)
Does anyone know what the answer please?
Answer:
[tex]\angle 1 \cong \angle 7[/tex]
Step-by-step explanation:
We proceed to present which angles corresponds with [tex]\angle 7[/tex], accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.
Hence, we conclude that [tex]\angle 1 \cong \angle 7[/tex].
Find X and Y, THIS IS DUE VERY SOON, PLEASE HELP!
Answer:
X is equal to 8, and Y is equal to 35
Step-by-step explanation:
You'll use the Pytagoras theorem to find the values of X and Y.
Please help me ASAP please
Answer:
The total money you pay is dependentThe time is independentStep-by-step explanation:
First lets lay out our vocabulary
Dependent is the variable that relies on the other variable
Independent is the variable that can change however it can unlike the dependent
Since you HAVE to know the time to get the money, the time is independent.
The amount of time affects the total money as it goes up
10.) A book that normally cost $5.50
is marked up by 40%. What is the
selling price of the book?
Answer:
the answer is seven point seven
Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).
Answer:
10√2
Step-by-step explanation:
magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²
magnitude of vector v = √200 = 10√2
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answer:
B
Step-by-step explanation:
Help me pls I don’t get this one
Answer: <BAC is 28.5
Step-by-step explanation:
line AO and Line OB are congruent (both are radius of the circle)
<BAC and <OBA are congruent
<AOB is linear to BOC so 180-57= 123 <AOB is 123
Triangle AOB is Isosceles
2a+123=180
2a=57
a=28.5
Please help i need a four letter code in ALL CAPS!
Answer:
LRIW
Step-by-step explanation:
I hope this is what you were looking for
Please help, find the value of y
Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:
less than $148,400 if the standard deviation is $800.
please help im stuck on this question
Answer:
(12,0)
Step-by-step explanation:
slope m=
[tex]\frac{54-36}{27-22} =\frac{18}{5}[/tex]
[tex]y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}[/tex]
[tex]0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18} =12[/tex]
hope it helps...
have a great day
three times one number minus a second is 8 and the sum of the number is 12
Answer:
one number is 2
second number if 3 1/3
Step-by-step explanation:
a = one number
b = second number
3a - b = 8
3a + b = 12
add together:
6a = 20
a = 20/6 or 10/3
find 'b':
3(10/3) - b = 8
10 - b = 8
-b = -2
b = 2
Find the area of the figure. Round to the nearest tenth.
6.5
3
O 14.6 units2
O 22.4 units2
15.0 units2
O 18.2 units2
Answer:
Area total = 14.6
Step-by-step explanation:
The composite area from left to right is
a half circle plus a rectangle minus a triangle
Area total = π r²/2 + bh - 1/2(bh)
= π (d/2)²/2 + bh - 1/2(b)(h triangle use Pythagorean theorem
= π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²) h triangle = c² - (b/2)²
= π 1.5²/2 + 15 - 1/2(3)(2.598)
Area total = 14.637 units²
if x =31 and z=27 then what is the value of y?
Answer: y = 89
Step-by-step explanation:
[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]
3 points
Using this set of data: 5,7,7,6, 4, 8, 17,5,7,5, 6 and 5 find the following
items.
7
5
6.5
4
8
2
third quartile
interquartile
range
first quartile
O
Back
Next
Page 2 of 5
Answer:
Step-by-step explanation:
what is the meaning of kiss
Answer:
wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.
In short kissing means a way to show compassion or love.
Solve the system of equations by graphing
Answer:
Here's a graph to help you solve this answer:
Find the equation for the
following parabola.
Vertex (0, 0)
Focus (-3, 0)
A. 42 = 12y
B. y2 = -12%
C. -(3/2)/2 = x
D. X2 = 127
Answer:
::::::::::
B. y^2= -12x
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
5th grade math. correct answer will be marked brainliest
Answer:
7/12 teaspoons
fraction
Step-by-step explanation:
Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]
Convert [tex]1\frac{3}{4}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]
7/4 x 1/3 = 7/12
T or F: If you consume more calories, you must decrease your physical activity to have energy
balance.
(not math but for pe)
Answer:
F
Step-by-step explanation:
When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.
what is meant by the present value of money?
Answer:
Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.
How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.
...
Calculating Present Value Using the Formula
FV = the future value.
i = interest rate.
t = number of time periods.
Step-by-step explanation:
Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today
Step-by-step explanation:
32 1/2 meters to feet
Answer:
106.6273
Step-by-step explanation:
Answer:
106.6273 ft
Step-by-step explanation:
A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18
Answer: you'll have 87 seats in the 18th row
Step-by-step explanation:
an = a1+(n-1)d
a18= 36+(18-1)3
a18= 36+51
a18= 87
The 18th row will have 87 seats.
What is arithmetic progression?
'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'
According to the given problem,
Number of seats in row 1 = 36
Number of seats in row 2 = 39
Number of seats in 3rd row = 42
Difference between the numbers ( d ) = 39 -36
= 3
We know, according to the formula of Arithmetic Progression,
[tex]a_{n} = a_{1} + (n-1)d[/tex]
We need to find for the 18th row,
[tex]a_{1}[/tex] = 36
d = 3
n = 18
⇒ [tex]a_{18}[/tex] = 36 + ( 18 - 1 )×3
⇒ [tex]a_{18}[/tex] = 36 + 51
⇒ [tex]a_{18}[/tex] = 87
Hence, we can conclude, there will be 87 seats in the 18th row.
Learn more about arithmetic progression here: https://brainly.com/question/13989292
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