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. Do not round your intermediate computations, and round your answer to three decimal places.
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 of them germinate.
Answer:
[tex]P(x = 4) = 0.1376[/tex]
Step-by-step explanation:
Given
[tex]n = 9[/tex]
[tex]p = 63\%[/tex] --- proportion that germinates
[tex]p = 0.63[/tex]
Required
P(x = 4)
This question follows a binomial distribution:
[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]
When x = 4;
[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]
[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]
[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]
[tex]P(x = 4) = 0.13763895392[/tex]
[tex]P(x = 4) = 0.1376[/tex]
Zorion’s mother helped him plan a budget. He had to put half of his money into savings. Whatever was left he split evenly into 3 categories: entertainment, snacks, and clothes. Which table correctly shows the budgeted amounts in each category if Zorion got $60 for selling his bike?
Answer:
it's the first one because it is split as the paragraph said it should
Help plz I’ll mark brainliest
Answer:
C
Step-by-step explanation:
There is absolutely no correlation between class size and number of absences.
I NEED HELP FAST! Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
Im pretty sure that 12, 18, and 29 would be the answer to your question.
Step-by-step explanation:
Consider the situations.
i. The value of an investment increases by $30 every year.
ii. The value of an investment decreases by 10% every year.
In which situation(s) is (are) the investment(s) changing at a constant rate?
both i and ii
only i
only ii
neither i norii
What is the probability that the first marble is blue and the second marble is yellow?
Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
First time drawing:
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Second time drawing (with no replacement):
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
[tex]\frac{2}{7}[/tex]
The probability that the first marble is blue and the second marble is yellow is [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{7}[/tex] = [tex]\frac{2}{28}[/tex] = [tex]\frac{1}{14}[/tex]
Solve 9≤c+1. Graph the solution.
The solution is
.
Find the average rate of change of f(x)=x^2-4x+1 from x=3 to x=7 .
Answer:
7
Step-by-step explanation:
is the answer a b or c
Answer:
∠Z & ∠K
Step-by-step explanation:
Identify all the acute angles in the figure.
Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process
Answer:
x=-2
Step-by-step explanation:
[tex]\sqrt{x+3}+4=5[/tex]
subtract 4 from each side
[tex]\sqrt{x+3} +4-4=5-4[/tex]
square both sides
[tex]\sqrt{x+3}^2=1^2[/tex]
so we have
[tex]x+3=1[/tex]
subtract 3 from each side
[tex]x+3-3=1-3[/tex]
so our answer is [tex]x=-2[/tex]
A+b=c what is c I need help
Answer:
has ft7shc63 queen, E5itee28 d74vyxb
How many times does 1/2 go into 1 1/4
Answer:
twice
Step-by-step explanation:
1/2 x 2 = 1
then you have a leftover 1/4
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip.
Write and solve an equation which can be used to determine z, the number of miles
in the taxi ride
The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.
We will find that z = 24.
We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.
So if you travel for z miles, the total cost will be:
[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]
Now that we have this linear equation if we know that the total fare was $44.90, then we have:
[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]
Now we just need to solve the above equation for z:
[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]
Then we can see that she traveled for 24 miles.
If you want to learn more, you can read:
https://brainly.com/question/19770987
Figure II is a translation image of Figure 1. Write a rule to describe
the translation.
Answer:
a translation of (-2,4)
Step-by-step explanation:
Kyle has 800 in his bank account before the holiday season he is going to buy gift cards of the same amount for 5 family members what is the most he can spend on each gift card if Kyle needs to have at least 500$ left in his account at the end of the season write an inequality for this situation
Answer:
look it up on the internet.
Step-by-step explanation:
A number is multiplied by 3, then 5 is added to the product. The result is 17. Fin
the number. Round your answer to the nearest tenth.
Answer:4
Step-by-step explanation:
write a equation for each line
Answer:
Line l: y=4
Line m: y=-2x+4
Line n: y=x-1
Line p: x=-4
Hope this helps!
WILL MARK BRANILIEST PLZ HELP
Type the correct answer in the box. Use numerals instead of words, and round your answer to the nearest whole number.
Meghan flipped a quarter and rolled a standard six-sided die.
The probability that the coin landed on heads and the die landed on an even number is __%.
Answer:
25%
Step-by-step explanation:
Multiply the two probabilities.
P(heads)*P(even) = 1/2*1/2 = 1/4
1/4 = 25%
Find two numbers whose sum is 9 and their difference is 60.
Smaller-
Large number-
Answer:
Step-by-step explanation:
x+y = 9
x-y = 60
-----------
2x = 69
x = 34.5
y = 9-x = -25.5
smaller number: -25.5
larger number: 34.5
Which ordered pair is a solution of the equation?
-7x+3y=2
Choose 1 answer:
(Choice A)
A
Only (1,3)
(Choice B)
B
Only (−2,−4)
(Choice C)
C
Both (1,3)(-2,-4)
(Choice D)
D
Neither
My sister plans to sell more than 250 boxes of cookies.
C>250
c250
Ob
Ос
Od
CS250
C2250
Next Page
Answer:
x > 250
Step-by-step explanation:
we are to express the statement using an inequality expression
Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;
x is the amount of box of cookies
Factor x^2+8x+15
Show work with attachment
Answer:
heres how to solve it
Step-by-step explanation:
what is the measure of angle gxi?
Answer:
80
Step-by-step explanation:
80 because 8x10=80 and also 1x80=80
The measure of angle GXI from the given circle is equal to 60°.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
From the given figure, through the Centre 12 lines are passing and dividing the central angle.
We can write the measure of angle subtended by a single arc as -
θ = 360°/12
θ = 30°
So, the measure of ∠GXI = 2θ
= 2×30°
= 60°
So, ∠GXI = 60°
Therefore, the measure of ∠GXI is equal to 60°.
To learn more about the circle visit:
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5th grade math. correct answer will be marked brainliest.
Answer:
Amy and Victor: 1 [tex]\frac{4}{9}[/tex]
Cal and Beth: [tex]\frac{7}{10}[/tex]
Beth and Victor [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Just multiply fractions by LCD
what is the area of this triangle?
Answer:
23,400
Step-by-step explanation:
30 times 30 times 26= 23,400
You ride your bike to the park to meet your friend. The park is 75/100 of a mile away from your house. You ride your bike for 2/10 of a mile before you come to a steep hill. Then you walk your bike 1/10 to the top of the hill. When you get to the top of the hill, you can see the park up ahead. How far could you be away from the park when you are at the top of the hill?
Answer:
The answer is 0.45
Step-by-step explanation:
0.75-0.1-0.2=0.45
3x+12 greatest common factors
Answer:
The common factors for 3,12 are −3,−1,1,3 - 3 , - 1 , 1 , 3 .
Step-by-step explanation:
2+2 >:) so complicated
Answer:
4
Step-by-step explanation:
Answer:
4 and thank u or the free points
Step-by-step explanation:
Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.
Answer:
She'll have $661 in the account in 2022.
Step-by-step explanation:
Compound interest:
The amount of money earned in compound interest after t years is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Rachael started off with $400. It earns 3% interest each year.
This means that [tex]A(0) = 400, r = 0.03[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 400(1+0.03)^t[/tex]
[tex]A(t) = 400(1.03)^t[/tex]
She wants to know how much money she'll have in the account in 2022.
17 years after 2005, which means that this is A(17). So
[tex]A(17) = 400(1.03)^{17} = 661[/tex]
She'll have $661 in the account in 2022.