On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate.
The question is incomplete. Here is the complete question.
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 or 5 of them germinate. Do not round your intermiediate computations, and round your answer to three decimal places.
Answer: P(4<X<5) = 0.624
Step-by-step explanation: The probability of a seed germinate is a Binomial Distribution, i.e., a discrete probability distribution of the number of successes in a sequence of n independents experiments.
This distribution can be approximated to normal distribution by determining the values of mean and standard deviation population:
[tex]\mu=np[/tex]
[tex]\sigma=\sqrt{np(1-p)}[/tex]
where
n is the sample quantity
p is proportion of successes
For the spinach seeds:
Mean is
[tex]\mu=9(0.65)[/tex]
[tex]\mu=[/tex] 5.85
Standard deviation is
[tex]\sigma=\sqrt{9.0.65(1-0.65)}[/tex]
[tex]\sigma=[/tex] 1.431
Now, use
[tex]z=\frac{x-\mu}{\sigma}[/tex]
to convert into a standard normal distribution.
The probability we want is between 2 values: P(4<X<5).
Therefore, we have to convert those two values:
For X = 4:
[tex]z=\frac{4-5.85}{1.431}[/tex]
z = -1.29
For X = 5:
[tex]z=\frac{5-5.85}{1.431}[/tex]
z = -0.59
Using z-table:
P(X>4) = 1 - P(z< -1.29) = 0.9015
P(X<5) = P(z< -0.59) = 0.2776
The probability will be
P(4<X<5) = P(X>4) - P(X<5)
P(4<X<5) = 0.9015 - 0.2776
P(4<X<5) = 0.624
The probability of 4 or 5 seeds germinate is 0.624.
A machine is designed to fill 16oz bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05oz with a standard deviation of 0.1oz. Assume that the machine is working properly. If four bottles are randomly selected each hour and the number of oz in each bottle is measured, then 95% of the observations should occur in which interval
Answer:
The 95% of confidence interval are
(15.8663 ,16.2337)
Step-by-step explanation:
Step(i):-
Size of the Population = 16
Size of the sample (n) = 4
The mean of the sample = 16.05 oz
The standard deviation of the sample (S) = 0.1 oz
Degrees of freedom =n-1 =4-1 =3
t₀.₀₅,₃ = 3.1824
Step(ii):-
The 95% of confidence interval is determined by
[tex](x^{-} - Z_{0.05} \frac{S}{\sqrt{n} } , x^{-} -+Z_{0.05} \frac{S}{\sqrt{n} })[/tex]
[tex](16.05 - 3.1824\frac{0.1}{\sqrt{3} } , 16.05 -+3.1824 \frac{0.1}{\sqrt{3} })[/tex]
(16.05 - 0.1837 ,16.05 +0.1837 )
(15.8663 ,16.2337)
Final answer:-
The 95% of confidence interval are
(15.8663 ,16.2337)
Today, Thurber studies math for 15 minutes and he studies science for 75 minutes. From now on, Thurber plans to study math for 50 minutes per day and to study science for 30 minutes per day. Will Thurber ever have studied the same total amount of time for both math and science? Explain. Use the drop-down menus to complete the sentence. days from today, Thurber will have studied of math and minutes of science.
Answer:
3 days
Step-by-step explanation:
Given that :
Today :
Study time for math = 15 minutes
Study time for science = 75 minutes
Subsequent days :
Study time for math = 50 minutes
Study time for science = 30 minutes
Let the number of days when study time for math and science will be the same = x
15 + 50x = 75 + 30x
50x - 30x = 75 - 15
20x = 60
x = 60 / 20
x = 3
3 days
Science
Which weather data would best indicate that monsoon rains are coming to Arizona on a hot day in August? Choose the three correct answers.
A
wind blowing from the south
B
high air pressure
C
high humidity
D
low air pressure
E
wind blowing from the north
F
low humidity
Answer:
A. wind blowing from the south
D. Low air pressure
C. High humidity
Step-by-step explanation:
High humidity can cause the clouds to shower. When the humidity is reached to 100 percent the rain starts. For the raining system the air pressure should be low. The low air pressure often indicates the thunderstorm. Cloud are ready filled with water and when the air pressure is lowered the rain starts.
I really dont get this question
A water tank has a square base with each side of length 4 meters. Water enters through a hose at a constant rate of 20 liters per minute. At the same time a valve in the bottom is opening, so that after t minutes, water leaves at a rate of t liters per minute. If the tank starts out filled to a depth of 2 meters, after how many minutes will the tank be empty
Answer:
378.33 minutes
Step-by-step explanation:
From the question, we're told that
Length of the side of the square, l = 4 m
Then the current volume of water = (4 m)³ = 64 m³3 = 64,000 Liters
64,000 + [∫(20 - t) dt from 0 to t] = 0, solving the integral, we have
20t - (t^2)/2 = -64,000, multiplying all by 2 so as to eliminate the fraction
40t - t^2 + 128,000 = 0
t^2 - 40t - 128,000 = 0, on solving the quadratic equation(using general formula), we find that
t = 378.33 minutes
List all the factors.
48
Answer:
Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Answer:
1,2,3,4,6,8,12,16,24,48
Step-by-step explanation:
THIS HOMEWORK IS SO HARD WALLAHI CAN SOMEONE HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
may be 5 I'm not a 100%sure
2.36 to the nearest whole number. Help please
Answer:
2
Step-by-step explanation:
Since if it's 5 or higher you go up but if it's 4 or lower you stay the same. And since 2.36 doesn't have the .5 it would round to 2
Answer:
2
Step-by-step explanation:
The rounding rule is 5 or higher round up and below 5 round down. So we're rounding to the nearest whole numbers so we have to look at the tenths place. Since the tenths place number is below 5 we round down to 2.
Jason used 0.5 cups or kernels to make 16 cups of popcorn. How many cups of popcorn would he make if he used 0.75 cups of kernels?
Please explain answer
Answer:
24 cups of popcorn
Step-by-step explanation:
Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:
x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels
multiplying through by 0.75 cups of kernels gives:
(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels
x = 24 cups of popcorn
5
Explain
why 36% is
less than 3/8
Does ≥ 5 have an open circle or closed circle?
Answer:
Closed circle
Step-by-step explanation:
When it's ≤ or ≥ it's a closed circle, when it's < or > it's an open circle.
evaluate 4xy for x=3, y=2
Answer:
If x=3 and y=2, 4xy = 4(3)(2) = 12(2) = 24
Step-by-step explanation:
Answer:
★ Value of 4xy when x=3, y=2
★ 4xy = 4×3×2 = 24
24 is the right answer.Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse? (pleasee!!)
Answer:
8.99
Step-by-step explanation:
Step One: Subtract 57.97 and 32.99
Step two: Divide your answer (17.98) by two
Step Three: Submit your answer (8.99)
2. A triangle has sides of lengths 15, 23, and 28. Is it a right triangle? Explain.
A. No: 152 + 232 = 282
C. Yes: 152 +232 +282
B. No; 152 + 232 282
D. Yes; 152 + 232 = 282
Answer:
Step-by-step explanation:
A question on a math quiz asks, "What is 175% of 72?" Petra calculates 12.6 as the answer. Is this a reasonable answer? Explain
Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100
Answer: D 35/100
Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.
Shelby asked 15 of her friends to name their favorite ice cream flavor if Shelby choses one of her friends at random what is the probability that this friend's favorite flavor is either strawberry or vanilla?
Answer:
1
Step-by-step explanation:
The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either strawberry or vanilla.
Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.
Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.
A 4-sided and 6-sided dice are rolled at the same
time and the result of each die is added together. How many
different outcomes are possible when this is done? PLS HELP I NEED ASAP
Answer:
The number of faces in 4 faced dice is 4 and in 6 faced dice is 6
therefore, Total possibilities for getting anything is 1/10
please help me simplify this -1/9 (9-27a)=?
Answer:
Step-by-step explanation:
A jar mung beans and lima beans in a ratio of 2 : 3, and 120 of the beans are mung beans. How many beans in total are there in the jar?
Answer:
300
Step-by-step explanation:
2 : 3
120/2=60
1 part = 60
(60 x 2) + (60 x 3) = 300 total
There is a total of 300 beans in the jar mung.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
We have been given a jar of mung beans and lima beans in a ratio of 2 : 3, and 120 of the beans are mung beans.
So, 2 : 3
1 part, 120/2 = 60
The total beans in the jar,
(60 x 2) + (60 x 3) = 300
Hence, there is total of 300 beans in the jar.
Learn more about ratios here:
brainly.com/question/186659
#SPJ2
|2x + 4| less than or equal to 5
Step-by-step explanation:
|2x + 4| <= 5
We have -5 <= 2x + 4 <= 5.
Therefore -9 <= 2x <= 1 and -4.5 <= x <= 0.5.
are 2y2 and -4y2 like or unlike terms?
Answer:
Unlike terms.
Step-by-step explanation:
[2y2 does not equal -4y2], much like 5 does not equal 6, vice versa.
Can you solve it. Pls pls
Answer:
C
Step-by-step explanation:
Don't know how to explain..
Which ratio is equivalent to 1 : 8
Answer: 2:16
Step-by-step explanation:
Answer:
2 : 16
Step-by-step explanation:
1 : 8 2 : 16 3 : 24 4 : 32 5 : 40
6 : 48 7 : 56 8 : 64 9 : 72 10 : 80
11 : 88 12 : 96 13 : 104 14 : 112 15 : 120
16 : 128 17 : 136 18 : 144 19 : 152 20 : 160
21 : 168 22 : 176 23 : 184 24 : 192 25 : 200
26 : 208 27 : 216 28 : 224 29 : 232 30 : 240
31 : 248 32 : 256 33 : 264 34 : 272 35 : 280
36 : 288 37 : 296 38 : 304 39 : 312 40 : 320
41 : 328 42 : 336 43 : 344 44 : 352 45 : 360
46 : 368 47 : 376 48 : 384 49 : 392 50 : 400
51 : 408 52 : 416 53 : 424 54 : 432 55 : 440
56 : 448 57 : 456 58 : 464 59 : 472 60 : 480
61 : 488 62 : 496 63 : 504 64 : 512 65 : 520
66 : 528 67 : 536 68 : 544 69 : 552 70 : 560
71 : 568 72 : 576 73 : 584 74 : 592 75 : 600
76 : 608 77 : 616 78 : 624 79 : 632 80 : 640
81 : 648 82 : 656 83 : 664 84 : 672 85 : 680
86 : 688 87 : 696 88 : 704 89 : 712 90 : 720
91 : 728 92 : 736 93 : 744 94 : 752 95 : 760
96 : 768 97 : 776 98 : 784 99 : 792 100 : 800
Given that f (x) = x^2 - 5x and g (x) x + 4
which answer is equivalent to √ 25/√ 49
Exact Form:
5/7
Decimal Form:
0.7142
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
[tex]y = x +2[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-3,-1)[/tex]
[tex](x_2,y_2) = (1,3)[/tex]
So, we have:
[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]
[tex]m = \frac{3 +1}{1 +3}[/tex]
[tex]m = \frac{4}{4}[/tex]
[tex]m =1[/tex]
The equation in slope intercept form is calculated using
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 1(x - (-3)) -1[/tex]
[tex]y = 1(x +3) -1[/tex]
[tex]y = x +3 -1[/tex]
[tex]y = x +2[/tex]
which represents the rotation of ABC toA’B’C
a:(x,y) —> (-x,-y)
b:(x,y) —> (x,-y)
c:(x,y) —> (y, -x)
Answer:
a) A (-2,-2) →A¹ ( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Step-by-step explanation:
a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed
to A (-2,-2) → A¹( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
Reflection about the x-axis
( x, y) → ( x, -y)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
( x, y) → ( y, -x)
Given (x, y) is rotation 90° of clock wise about the origin then the transformed to
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
I need help I don't know how to do this, this is for a friend lol.
Answer:
bru tell me why i cant see that
Step-by-step explanation:
CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD
Answer:
3[tex]\sqrt{5}[/tex]