Answer:
42
Step-by-step explanation:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.
Answer:
the decision rule is to reject H0 if Z is < -1.645
Step-by-step explanation:
this question is interested in the decision rule.
H0: u = 449
H1 : u <449
We find the test statistic
Mean bar x = 441
u = 449
Sd = 18
n = 37
Z = barX - u / sd/√n
= 441-449/18/√37
= -8/18/6.083
= -8/2.959
Z = - 2.7036
This is the value of the test statistic
The critical value at 0.05 = -1.645. this is a left tailed test
The decision rule is to reject H0 if Z < -1.645
The test statistic is less than the critical value
-2.7036 < -1.645
So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.
Given: ΔABC, AB=12, m∠A=60°,m∠C=45°, AB =8 Find the perimeter of ΔABC
Answer:
The perimeter of ΔABC is 43 units
Step-by-step explanation:
An illustrative diagram is shown in the attachment below.
To find the perimeter of the triangle, we will first determine the length of the unknown sides.
First, we can determine /BC/ using the Sine rule
From Sine rule
[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]
∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]
In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]
m∠A=60° and m∠C=45°
∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]
[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]
[tex]/BC/ = 6\sqrt{6}[/tex]
To find /AC/, will first determine m∠B
m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)
60° +m∠B + 45° = 180°
m∠B + 105° = 180°
m∠B = 180° - 105°
m∠B = 75°
Also, using the sine rule
[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]
From the diagram, [tex]b = /AC/[/tex]
[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]
[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]
[tex]/AC/ = 6 + 6\sqrt{3}[/tex]
Now,
The perimeter of ΔABC = /AB/ + /BC/ + /AC/
= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]
= 43.09 units
≅ 43 units
Hence, the perimeter of ΔABC is 43 units.
Answer:
Using the figure above, if AB = RT and ∠R = 70°, then ________.
ΔABC ~ ΔRTS
m ∠ S = 50°
ΔABC ≅ ΔRTS
m ∠ S = 60°
Step-by-step explanation:
What created the Vancouver Island?
O earthquake
O volcanoes
O fault
O ocean
Answer:
Volcano
Step-by-step explanation:
Answer:
volcanoes
Step-by-step explanation:
Vancouver island was formed around 150 million years ago when volcanic activity pushed sedimentary rock upwards from the sea floor to from the island landscape. /hope this helps/
A recipe for pie dough calls for a ratio of butter to flour of 23 : 134. If you plan to use 7 cups of flour, how much butter should you use to keep the same ratio?
Answer:
You might have to round, but ≈1.2015
Step-by-step explanation:
butter: flour
23 : 134 is really just a:b
b = 7, so: a : 7
Divide both sides by 134, so
≈0.172 : 1
Multiply by 7 to get 7 cups of flour
≈1.2:7
Which operation should be performed on both sides of this equation to solve for x?
x +4= 6
A
В.
add 4
add the opposite of 4
C.multiply by the reciprocal of 4
D. multiply by the opposite reciprocal of 4
Answer:
B. add the opposite of four
Step-by-step explanation:
x + 4 = 6
x + 4 + (-4) = 6 + (-4)
x + 4 - 4 = 6 - 4
x + 0 = 2
x = 2
If y = 3, which of the following expressions will
produce a value of 15?
A.5y
B.25-10y
C.4y+3
D.8y divide by 2
Answer:
A.5y
Step-by-step explanation:
5y = 5 x y
y= 3
5 x 3 = 15
=A.5y
i givee brainlilsttt
Answer:
simple, it's (4,4) because the (-4,-4) is on the left side then on the right side, we know the x axis is positive right? so then you know that the bottom of the y axis is negative and the x axis is first in the coordinate and so the first one is positive now.
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
PLEASE HELP MEEEE I HAVE AN F IN MATH AND I SERIOUSLY NEED THIS
t is the letters in the word thinking
Answer:
u is the one on my mind rn
Step-by-step explanation:
HAHAHAHAHHAA XD
which round to ten 9.943, 9.501, 9.234, 9.612
Answer:
9.943, 9612, and 9501
Step-by-step explanation:
anything 5 and above u round higher anything 4 and below round down
Thomas is saving up to buy the new Xbox One. He needs to save at least $500. For his birthday he received $275.
He also makes $30 a week working at McDonalds. What is the least number of weeks it will take him to have the
money?
please help me right now i need it
Answer:
8 weeks
Step-by-step explanation:
What is 4 divided by 1/8
Answer:
32
Step-by-step explanation:
4/(1/8)
Which equation could be used to solve this problem?
In 14 years, Miguel will be 40. Let m represent Miguel's current age. How old is he now?
m = 40 + 14
m- 14 = 40
m + 40 = 14
m + 14 = 40
Answer:
m+14=40
Step-by-step explanation:
Answer:
the answer is m+ 14 = 40Step-by-step explanation:
Answer is D
Answer? I don’t know may I please have help
Answer:
1. y=kx
2. y=60
Step-by-step explanation:
y is directly proportional to x
y=kx
Find Constant K, when y=30 & x=6
Make K the subject of the formula first
K=y/x
K=30/6
k=5
When k is 5, x is 12, find y
y=kx
y=5×12
y=60
can someone help me please
Answer:
14c + 21d - 42
Step-by-step explanation:
One side of a triangle is two times the second side. The third side is 5 feet longer than the second side. The perimeter of a triangle is 49 feet. Find the length of each side.
Jocelyn invested $390 in an account paying an interest rate of 2.7%
compounded daily. Assuming no deposits or withdrawals are made,
how much money, to the nearest cent, would be in the account after 18
years?
Answer:
There will be $634.05 in the account.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$390 in an account paying an interest rate of 2.7% compounded daily.
This means that [tex]P = 390, r = 0.027, n = 365[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
This is A(18). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(18) = 390(1 + \frac{0.027}{365})^{365*18}[/tex]
[tex]A(18) = 634.05[/tex]
There will be $634.05 in the account.
What is the equation of the line that passes through the point (−2,1) and has a slope of -5/2
Answer:
You need to make turn this information into slope intercept form: y = mx + b. The m is your slope, the b is your y-intercept. x and y represents the coordinates that the line passes through. Make y = 1, make m = -2, and make x = 2, and you will get: 1 = -2(2) + b. When you simplify, you get 1 = -4 + b, add 4 to both sides and you'll get 5. So my equation is y = -2x + 5. Remember the -2 came from the slope! To get b, substitute the (2,1) in for (x,y) in the equation.
Step-by-step explanation:
Johnny drove 300 miles using 20 gallons of gas. How many miles can he drive on 1
gallon of gas?
just divide 300/20 to get 15
answer is 15
hope this helps
:)
2(1/4d)+d=96 answer is possibly 64 is that correct?
Answer:
64
Step-by-step explanation:
2x(1/4 d)+d=96 (Rewrite the expression)
2x1/4d+d=96 (Reduce the numbers)
1/2d+d=96(Calculate)
3/2d=96 (Multiply both sides)
d=64
I need help super quick
Answer: D is correct
Step-by-step explanation:
everything under the X side can be multiplied by 5 and equal Y
Answer:
C
Step-by-step explanation:
manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?
Answer:
$7049 is the answer.
Step-by-step explanation:
Answer: $7980
Step-by-step explanation:
Follow the formula A=Pe^rt
A= 7500(e)^(.031)(2)
A= 7980
Strawberries are $3.99 per pound. If a customer bought $30 worth, how many pounds did he buy? $
Blank 1:
Answer:
7.5
Step-by-step explanation:
Divide 30 by 3.99
30/3.99=7.5Please look at picture
What percentage is 0.00042 ?
Answer:
0.042%
How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%
Step-by-step explanation:
hope it helps please give me a heart
Answer:
0.042%
Step-by-step explanation:
0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Answer:
6570
Step-by-step explanation:
18x365=^
Which inequality is equivalent to -6x>30
Answer:
x > -5
Step-by-step explanation:
[tex] - 6x > 30 \\[tex] 6x < - 30 \\ \frac{ 6x}{ 6} < \frac{- 30}{ 6} \\ x < - 5[/tex]
Addison prepared 30 kilograms of dough after working 3 hours. How many hours did Addison work if she prepared 50 kilograms of dough? Assume the relationship is directly proportional.
Answer:
Addison worked 5 hours
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The relationship between the number of kilograms of dough Addison prepares (y) is proportional to the number of hours he works on it (x).
Knowing he prepared y=30 kilograms of dough after t=3 hours, we substitute in the function:
30 = 3k
Solving for k:
k = 30/3 = 10
The relationship is:
y = 10x
If he prepared y=50 kg of dough, then:
50 = 10x
Solving for x
x = 50/10 = 5
Addison worked 5 hours
(Blank) x 1/6 = 5/6
I haven’t done this in a while so I need help.
Answer:
5
Step-by-step explanation:
Divide 5/6 by 1/6 to get 5 as your answer.