Answer:
Question 1
The correct option is A
Question two
The correct option is B
Question three
[tex]SE= 0.5[/tex]
Question four
[tex]z = - 3 [/tex]
Question five
The correct option is A
Step-by-step explanation:
The population mean is [tex]\mu = 50 \ grams[/tex]
The sample size is n = 16
The population size is N = 4000
The sample mean is [tex]\= x = 48.5 \grams[/tex]
The standard deviation is [tex]s = 2 \ gram(s)[/tex]
Considering the first question
The correct option is A
z test because the SD of the population is known and the weights follow the normal curve
Considering the second question
The correct option is B
Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.
Considering the third question
Generally the standard error is mathematically represented as
[tex]SE= \frac{s }{\sqrt{n} }[/tex]
=> [tex]SE= \frac{2 }{\sqrt{16} }[/tex]
=> [tex]SE= 0.5[/tex]
The null hypothesis is [tex]H_o : \mu = 50[/tex]
The alternative hypothesis is [tex]H_a : \mu < 50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ SE }[/tex]
=> [tex]z = \frac{ 48.5 - 50 }{ 0.5}[/tex]
=> [tex]z = - 3 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < z )[/tex]
=> [tex]p-value = P(Z < - 3 )[/tex]
From the z-table the
[tex]P(Z < - 3 ) =0.0013499[/tex]
=> [tex]p-value = 0.0013499[/tex]
From the obtained values we see that
[tex]p-value < \alpha[/tex]
So we reject the null hypotheses
The conclusion
it's very unlikely that the factory is making the candy bars 50 grams as they claim
Testing the hypothesis, we have that:
The standard error is of 0.5.The test statistic is z = -3.A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:
[tex]H_1: \mu < 50[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16[/tex]
Hence, the standard error is:
[tex]S_e = \frac{2}{\sqrt{16}} = 0.5[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{S_e}[/tex]
[tex]z = \frac{48.5 - 50}{0.5}[/tex]
[tex]z = -3[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.
A similar problem is given at https://brainly.com/question/14983950
used to parallel lines cut by transversal below to answer the question. which statement is not a true statement will mark brainest
Answer:
B
Step-by-step explanation:
there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)
Answer:
see attached
Step-by-step explanation:
1. Un arquitecto construirá una casa de interés social en un área rectangular de 52 m². El
frente será el ancho de la casa y el largo será dos veces el ancho.
a.
Traza una figura geométrica que represente el terreno
b.
¿Cuál es la variable con la que representarías el ancho?
Answer:
Definamos:
A = Ancho
L = Largo.
Sabemos que el área es rectangular, y para un rectángulo de ancho A y largo L, el área es:
Área = A*L.
Y sabemos que L = 2*A.
a) Una imagen se encuentra abajo.
b) Como podemos escribir la variable L en términos de la variable A, podemos escribir:
Área = A*L = A*(2*A) = 2*A^2
Entonces la variable que usamos es el ancho.
Ahora podemos resolver el problema:
52m^2 = 2*A^2
52m^2/2 = 26m^2 = A^2
A = √(26m^2) = 5.1 m
Entonces el largo es:
L = 2*A = 2*5.1m = 10.2 m
What is the sum of the fractions? Use the number line to help find the answer.
3/5 plus -7/5
Answer:
-4/5
Step-by-step explanation:
Answer:
The answer is -4/5
Step-by-step explanation:
Hope this helps!:)
The quantities and are proportional
9514 1404 393
Answer:
r = 1
Step-by-step explanation:
Solving the equation for r gives ...
r = y/x
Using the first line of the table, we find r to be ...
r = 5.8/5.8 = 1
The constant of proportionality is r = 1.
AME: Carmen estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to the nearest whole percent.
Answer:
71 %
Step-by-step explanation:
250/350 = 0.714285
71.4285 move decimal 2 places to the right
71 % rounded to whole percent
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
less than 90°.
greater than 90°.
congruent to angle B.
congruent to angle C.
this is due today help
Answer:
Sunday: 50 Monday: 60 Tuesday: 50 Wednesday: 50 Friday: 40 Saturday: 40
Step-by-step explanation:
That's If Its To The Nearest Tenth If This Is What U Wanted I'm Just Doing What The Instructions Told Me
Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial
Answer:
1-2i
Step-by-step explanation:
complex roots come in conjugate pairs
Solve the system of equations using substitution y = 3-4x y = 3x -11
Given a linear equation with a slope of - 13/4, determine the slope of a line that is perpendicular. Enter the answer as a fraction.
Answer:
4/13
Step-by-step explanation:
To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.
Answer:
4/13 should be the answer as it is the reciprocal.
Step-by-step explanation:
I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer
5. This ingredient can be an alternative for cornstarch,
A. Egg
C. Salt
B. Flour
D. Sugar
Answer:
Your answer would be flour
Step-by-step explanation:
flour helps thicken things just like cornstarch does
Answer:
rice flour, ground flaxseeds, wheat flour, potato flour, and regular flour
Step-by-step explanation:
These can used because they wont make food to thick and its good for sauses.
A test contains two multiple-choice questions. If a student makes a random guess to answer each question. (Hint: Consider two outcomes for each question—either the answer is correct or it is wrong.) 2.2.1 How many outcomes are possible?
Answer: 2
Step-by-step explanation: he could ethier get t right or get it wrong
Prove the following
please help
Step-by-step explanation:
5. I assume you mean this:
(cos²x / sin x) + sin x
Add using common denominator.
(cos²x / sin x) + (sin²x / sin x)
(cos²x + sin²x) / sin x
Use Pythagorean identity.
1 / sin x
csc x
6. tan²x cos²x
Write tangent in terms of sine and cosine.
(sin²x / cos²x) cos²x
Simplify.
sin²x
Use Pythagorean identity.
1 − cos²x
Alice is completing the table so that it is a function. Which values can she NOT use to complete
the table? Explain.
78÷9 please there is a reminder
8.66666666667
But if you need a smaller number it would be 8.66 or 8.6
Hope dis helps TwT
4(a + 2) + 2 = 4 - 2(-2a - 3)
Answer:
0=0
Step-by-step explanation:
4(a + 2) + 2 = 4 - 2(-2a - 3)
4a + 8 + 2 = 4 + 4a + 6
4a + 10 = 10 + 4a
0 = 0
What is the value of the question mark?
5/10=?/70
Answer:
35
Step-by-step explanation:
5/10 x 7 = 35/50
Answer:
35/70
Step-by-step explanation:
HELP ASAPPPP
What is the equation of this graphed line? If the line passes through (-6,-3) and (6,-7)
Answer:
y= -1/3x - 5
Step-by-step explanation:
Answer:
The answer would be y=-1/3x-7.
Step-by-step explanation:
Using the formula y2-y1/x2-x1 to find the slope of the line, plug in the numbers and you will get a slope of -1/3. Now using the the formula y-y1=m(x-x1) and plug in the numbers, and you will get the equation y=-1/3x-7.
Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{0+4}{-1-1}[/tex]
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
PLEASE HELP ME
THIS IS DUE IN 10 MINUTES
Answer:
C and D. You're welcome :)
Step-by-step explanation:
Answer:
i think it is A, B, and D
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
What is the radius of a circular swimming pool with a diameter of 2 feet?
Answer:
1 foot
Step-by-step explanation:
Answer:
it is 1 foot can i have brainly lol
Step-by-step explanation:
Do you wants to buy a bike for $180 he has $40 Dave mows lawns for $10 per lawn Write in equation that can be used to find eggs the number of lawns Dave needs mow to have enough money to the to buy his bike
Answer:
Dave needs to mow 14 lawns to have enough money to buy a bike.
Step-by-step explanation:
180-40=140, 140/10=14. Dave needs to mow 14 lawns to have enough to buy a bike.
I REPEAT BRAINIEST ON THE LINE!!!!
Mikaela is competing in a race in which she both runs and rides a bicycle. She runs 4.5 kilometers in 0.5 hour and rides her bicycle 18.75 kilometers in 0.75 hour. If she runs for 1 hour and bikes for 1 hour at the same rates as she does in the race, how far will she travel?
Answer:
25.67 km
Step-by-step explanation:
4.5 + 0.75 + 18.75 - 0.5 - 2 hrs = 25.67km
Answer:
about 35 km
Step-by-step explanation:
4.5 km divided by 0.5hour/30minutes = 6 min, 40 sec per km
18.75 divided by 0.75hour/45 minutes = 2 min 24 sec per km
60 divided 6.40 = about 9
60 divided 2.24 = about 26
26+9=35
I hope thats correct lol
find three ratios that are equivalent to 20:25
Answer:
4/5 , 40/50, 80/100
Step-by-step explanation:
There are two necklaces Maria wants to buy. One is $28.66 and the other is $19.39. She has a coupon for $5 off the total bill when you purchase two items. If she buys both, how much will she owe before taxes?
Answer:
$43.05
Step-by-step explanation:
Add $28.66 and $19.39, after that you get 48.05. Then subtract 5 from it and you get $43.05
please help me XD i dont know how to answer this
Answer:
the first three are all functions
Step-by-step explanation:
A WAY easier way to know if it is a function is to see if there are two of the same x-intercept If there is, then it is NOT a function.
A family buys 8 tickets to a show. They also pay a $5
parking fee. They spend $61 to see the show.
What is the solution to the story?
13.80
10.60
07.00
8.25
Answer:
C. $7.00
Step-by-step explanation:
8 times 7 is 56 + 5 = 61
Ashley has sold 70% of the 20 candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell?
Answer:
70/100=x/20 cross multiply you get 1400/100=14
If Ashley sold 70% of her candy bars it means she has 30% left to sell
of means times
30%=.30
20 x .30= 6 candy bars to sell
Step-by-step explanation:
give brainliest please :)
Answer:
6
Step-by-step explanation:
70% of 20 is 14
20-14=6
let me know if im wrong
A dolphin jumped from 5 feet below the surface of the sea. Jane wrote −5 to represent the depth from which the dolphin jumped. What does 0 represent in this situation?
Answer:
it represents the surface of the sea
Step-by-step explanation:
i did the test lol :)
How is a debit card similar to an ATM card?
a.
Each is only available to adults 18 and older.
b.
Any one person can only have one of each at a time.
c.
Both can be used to withdraw money from ATMs.
d.
Both can be used to make purchases online.
Answer:
c is your answer hope this helps
Answer:
C
Step-by-step explanation:
took the test