Answer:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
Step-by-step explanation:
Setting the null and alternative hypothesis :
H0 : μ = 3.5
H1 : μ < 3.5
Sample size (n) = 40
Mean (m) = 3 minutes
Standard deviation (s) = 1.1 minutes
Test statistic : Z = (m - μ) / (s/√n)
Z = (3 - 3.5) / (1.1/√40)
Z = - 0.5 / 0.1739252
Z = - 2.8747978
Zcritical at α 0.05 = 1.645
This is a left tailed test :
Hence rejection region:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mix with 18 ounces of red paint to maintain the same proportion
The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces and this can be determined by using the unitary method.
Given :
An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint.
The following steps can be used in order to determine the total amount of yellow paint:
Step 1 - The unitary method can be used in order to determine the total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion.
Step 2 - Let the total amount of yellow paint she needs be 'x'.
Step 3 - So, the value of 'x' can be calculated as:
[tex]x = \dfrac{18}{8}\times 20[/tex]
Step 4 - Simplify the above expression.
[tex]x = 45\;{\rm ounces}[/tex]
The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces.
For more information, refer to the link given below:
https://brainly.com/question/25834626
Bill is making accessories for the soccer team. He uses 777.35 inches of fabric on headbands for 32 players and 3 coaches. He also uses 301.76 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
Fabric used on a headband for each player = 22.21 inches
Fabric used on a wristband for each player = 9.43 inches
Step-by-step explanation:
Let fabric used on each headband = [tex]h[/tex] inches
Let fabric used on each wristband = [tex]w[/tex] inches
Number of players for which headband is made = 32
Fabric used on 32 players = 32[tex]h[/tex] inches
Number of coaches for which headband is made = 3
Fabric used on 3 coaches = 3[tex]h[/tex] inches
As per question statement:
Total fabric used on headbands = 777.35 inches
[tex]32h + 3h = 777.35\\\Rightarrow 35h = 777.35 inches \\\Rightarrow h = 22.21\ inches[/tex]
Number of players for which wristband is made = 32
As per question statement:
Fabric used on wristbands = 301.76 inches
[tex]32w = 301.76\\\Rightarrow w = 9.43\ inches[/tex]
Therefore, the answer is:
Fabric used on a headband for each player = 22.21 inches
Fabric used on a wristband for each player = 9.43 inches
A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
[tex]C=32(3.14)=100.48\text{ meters}[/tex]
Step-by-step explanation:
We know that the circle has a diameter of 32 meters.
And we want to find its circumference.
The circumference of a circle is given by the formula:
[tex]C=\pi d[/tex]
Where d is the diameter.
So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:
[tex]C=32(3.14)=100.48\text{ meters}[/tex]
Answer:
100.48 m
Step-by-step explanation:
C=2(3.14)r
C=2(3.14)(16)
C= 100.48 m
PLS HELP ILL MARK AS BRAINLESS
Answer: Area is 2250 and the peremiter is 210
Step-by-step explanation:
Answer:
Area :2250
Perimeter: 210
Step-by-step explanation:
For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.
Gabriel has these cans of soup in his kitchen cabinet.
• 2 cans of tomato soup
• 3 cans of chicken soup
• 2 cans of cheese soup
• 2 cans of potato soup
• 1 can of beef soup
Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?
Answer:
the answer is the chese soup has a good chance of being picked but not as good as the chicken soup. there would so 3:2 3 to 2. so if they picked the chese soup the first time then there is not a good chance of the chese soup to be picked again. I hope that helped if not et me know
A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?
Answer:
74304 approx.Step-by-step explanation:
Step one:
given data
current view of the video is marked at =74300
the rate of increase is 40%
let the number of hours be x
and let the total views be y
hence the linear function for the total is
y=0.4x+74300
Required is the value of y when x=9
Step two:
substitute x=9
y=0.4(9)+74300
y=3.6+74300
y=74303.6
y=74304 approx.
HI! Help me please! HOMEWORKKKK UGHHH
Answer:
J
Step-by-step explanation:
if you multiply any number by a number lower than 1, then the value lowers. J is the only thing that has both numbers greater than one
Whats the sum of -32 and 4?
A.-27
B.-3
C.3
D.27
Answer: -28
Step-by-step explanation:
The answer is not in the choices but it’s -28 if you add -32 and 4.
CLASS TIME: You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes. (Section 3.4)
Answer:
250
Step-by-step explanation:
150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
might be b but I'm not 100% sure so sorry if it's wrong
Answer this please and fast
Answer:
The 3rd answer because each income has an outcome.
Step-by-step explanation:
Answer:
4th option is correct.
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
Find the x and y intercept of
-x-4y=16.
The slope of the line passing through the points (7, 5) and (21, 15) is____.
How do I find the slope?
Answer:
m= 5/7
Step-by-step explanation:
0.5x + 0.25(x + 16) = 4 + 0.75x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]
[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]
The sides are exactly have like terms ,
Thus we have infinite solution for the equation.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In what ways do you follow a healthy diet?
4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)
Answer:
It would be (x0.3,y0.3). C is the answer
Step-by-step explanation:
Because if you actually read it, it already gave you the answer which is the scale factor of 0.3
so that would lead to (x0.3,y0.3)
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
which expression is equivalent to 8/9 divided by 3/4
Complete the point- equation of the line through (5,2) and (6,-3)
a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game?
Answer:
No, it is not fair
Step-by-step explanation:
Here, we want to check if this is a fair game
To win a sum, a duck with a green star on the underside must be selected
The number of ducks with this is 4 out of 75
The probability of selecting one is 4/75
The expected value of selecting is ;
4/75 * 10 = 0.5333
The cost of selecting a duck is $1
The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467
Since the price to lose and the amount to win is not the same, then the game is not fair
The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?
0.01
0.14
0.265
0.916
Answer:
i think its c but not 100% tbh
Step-by-step explanation:
Round 7.284 to the nearest thousandth.
Answer:
7.28
Step-by-step explanation.
4 is rounded down to 80 and if you just take away the 0 in 80 its 8.
Answer:
it already is
Step-by-step explanation:
.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down
PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?
A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1
Answer:
its A) f(x)= 2[tex]x^{2}[/tex]+x-1
Step-by-step explanation:
Answer: A sounds correct
Step-by-step explanation:
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Answer:
HAVE A GOOD DAY :)))))))) <3
Step-by-step explanation:
In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?
9514 1404 393
Answer:
19.5 hours
Step-by-step explanation:
The number in the dish at time t (in hours) can be described by ...
n(t) = 100·2^(t/26)
We want to find t such that ...
n(t) = 168
100·2^(t/26) = 168
2^(t/26) = 1.68 . . . . . . divide by 100
(t/26)log(2) = log(1.68) . . . . . take logarithms
t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t
t ≈ 19.5 . . . hours
It would be about 19.5 hours until there are 168 bacteria.
HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
huh
ok
....................................
Find the slope
Please help
Answer:
You have to find slope by doing rise over run. Which is y2-y1 over x2-x1.
Step-by-step explanation:
Solve -4h - 3 > 4 for h.
will give you brainliest
Answer:
h<-7/4
Step-by-step explanation:
PLEASE HELP!!
(dont steal points pls)
Answer:
d
Step-by-step explanation: