Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
Step-by-step explanation:
Given that;
Binomial Distribution
n = 80
p = 0.15
q = 1 - p = 0.85
Mean = μ = np = 80 X 0.15 = 12
SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937
Now; Assumptions in normal distribution to binomial distribution
- The sample size = n = 80 > 30 . Large sample
- np = 80 × 0.15 = 12 > 10
- nq = 80 × 0.85 = 68 > 10
so
80 × 0.15 = 12
80 × 0.20 = 16
To find P(12 < X < 16):
Z = (16 - 12) / 3.1937
= 4 / 3.1937
= 1.2525
Table of Area Under Standard Normal Curve gives area = 0.3944
Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
HELP WILL GIVE BRAINLEST PLZZ HELP
Answer:
number line 4
Step-by-step explanation:
Answer:
fourth option(4) shows point a at -4, point b at -2 1/2 and point d.
opposite point of A is 4
A transformation that does not change the size or shape of a geometric object is known as which of the following?
A an identity transform
B a complete mapping
C a congruent movement
D a rigid motion
Answer:
c
Step-by-step explanation:
The transformation that does not change the size or shape of a geometric object is known as an identity transform option (A) an identity transform is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a statement:
A transformation that does not change the size or shape of a geometric object is known as:
The transformation is known as an identity transformation because in the identity transformation the shape and size of the object remain the same or unchanged.
Thus, the transformation that does not change the size or shape of a geometric object is known as an identity transform option (A) an identity transform is correct.
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5x-18+8x-10=180 solve for x
Answer:
x mean multiply xd
Step-by-step explanation:
Answer:
x=16
Step-by-step explanation:
Convert days to weeks by completing the number sentence. 35 days=
Answer:
5 weeks
Step-by-step explanation:
35 divided by 7 is 5
6th grade math look at the pictures
Answer:
use a calculator.
Step-by-step explanation:
Answer:
2. 17.624
3. 9.72
4. 14.3
5. 2.11
8. 5,105.16
10. 124.7
Step-by-step explanation:
4.875 rounded off to the nearest hundredth
Answer:
4.88
Step-by-step explanation:
Answer:
4.88
Step-by-step explanation:
Most of the freshwater on earth is frozen in the form of snow, glaciers, and ice true or false
Answer:
false
Step-by-step explanation:
Use this picture to answer the questions below.
#1. please help me with my math Select All
Answer:
B.) - ⅖ -⁴⁄₃ᵖ and
D.) -⁴⁄₃ᵖ + (- ⅖)
Step-by-step explanation:
-⁴⁄₃ᵖ - ⅖ is equivalent to - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
Thus, The answer is - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
-TheUnknownScientist
Doing a test I am in 6th grade but I just don’t know this answer someone plz help
Answer:
n > 45
Step-by-step explanation:
the open circle means it is not equal to 45
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
David is buying a cheese wheel priced at $14 before tax. The store charges 8%, percent sales tax
THE ANSWER IS 15.12
Answer:
15.12
Step-by-step explanation:
14*1.08
15.12
11 students in the Environmental club represent 4% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
275
Step-by-step explanation:
The best way to do this is to set it up in this equation:
4/100 = 11/x, in this, the 4 over 100 represents 4% out of 100%. The 11 over x represents the 11 students out of x amount of students. With this equation, you cross multiply to get 4x = 1100. Then you divide both sides by 4 to get x by itself. This will give you x=275
After solving the equation, the total number of students in the 7th grade is 275.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the data mentioned in the question,
Total number of students in the Environmental club = 11
Percentage of students from 7th grade = 4%
Let the total number of students in 7th grade be x
Then, the equation according to the statement will be,
4% of x = 11
So,
x = (11 × 100)/4
x = 275
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Find the value of (5 +√5)(5 -√5)
Answer:
20
Step-by-step explanation:
(5 +√5)(5 -√5)=(5)²-(√5)²
=25-5
=20 ...........................
5 students made an A in their Math quiz, 10 students made an B, 6 students made an C,
3 students made a D, and one made an F,
their are 25 students in this class
which are true select all that apply
A. For this math class, 10% of all students received an F
B. for this math class, 6% of all students received a C
C. for this math class 20% of all students received an A
D. the part -to-whole ratio of students who received a B is 10 : 25.
Answer:
I think is C.............
Find the average rate of change from x=3 to x=7 for the function f(x)=2^x and select the correct answer below.
A) 30
B) 120
C) -120
D) -30
The results of a recent survey showed that the average cost to rent a car for a week is $276. If the standard deviation is $60,
find the Z-score for a weekly rental of $423.00?
a. 2.45
B. 4.6
C. 7.05
D. -1.88
The Z-score for a weekly rental is 2.45 which is the correct answer would be option (B).
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given the average cost to rent a car for a week is $276
And the standard deviation is $60
To determine the Z-score for a weekly rental of $423.00
Here,
ц = 276
σ = 60
X = 423
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (423 - 276)/60
⇒ z-score = 147/60
⇒ z-score = 2.45
Hence, the z-score for a weekly rental is 2.45.
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please help
will mark as branliest !!!!
Answer:
A) -6n-6
Step-by-step explanation:
g(h(n)) means you are plugging in the value of h(n) into g(n) for n:
Given:
[tex]g(n)=-2n+4\\h(n)=3n+5[/tex]
Therefore:
[tex]g(h(n))=-2(3n+5)+4\\g(h(n))=-6n-10+4\\g(h(n))=-6n-6\\[/tex]
This means your final answer is A) -6n-6
Which shows the list of numbers in order from least to greatest?
Which expression is equal to StartAbsoluteValue negative 12 EndAbsoluteValue minus StartAbsoluteValue Negative 3 EndAbsoluteValue?
–15
–9
9
Answer:
-9 -15 9 i think
Step-by-step explanation:
Answer:
-15,-9,9
Step-by-step explanation:
Ordering that from least to greatest would be -15,-9,9 but unfortunetly i cant answer the second half. Hope this helps :).
solve for x.
x/2.5<10
Answer:
x < 25
Step-by-step explanation:
x/2.5 < 10
you need to get x alone so you multiply both sides by 2.5 to get the 2.5 crossed out on one side
x < 2.5 times 10
Can someone help me please
There are two approaches to this question.
Approach 1:
We can compute the slope of a line by calculating its mean variation, the rise over run. Mathematicaly:
[tex]a=\frac{\Delta y}{\Delta x}[/tex]
The two points we have are [tex]P1 = (1,3)[/tex] and[tex]P2 = (4,3)[/tex]. Plugging the values into the expression we get
[tex]a=\frac{3-3}{4-1} \\a=0[/tex]
Therefore, the slope of the line is zero.
Approach 2:
The slope of the line is given by the angle [tex]\alpha[/tex] it makes with the X axis, in other words,
[tex]a = tan(\alpha)[/tex]
Note that the angle the line makes is exaclty zero. Therefore:
[tex]a= tan(0)\\a=0[/tex]
Again, we get that the slope of the line is zero.
In general, the slope of any horizontal line will always be zero.
I need help with HW it is hard (repost i forgot picture)
Answer:
b 8 hours
Step-by-step explanation:
1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer
HURRY IM TAKING A FINAL AND I ONLY HAVE 10 MINS LEFT. PLEASE HELP!!!!!
Answer:
The answer is love
Step-by-step explanation:
Which of the ratios below is equivalent
to 5:2? Select all that apply.
A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12
Answer: C, D, and E
Step-by-step explanation:
5/2 * 4/4 = 20/8
5/2 * 2/2 = 10/4
5/2 * 6/6 = 30/12
Answer:
C,D,E
Step-by-step explanation:
Hope this helps
find the distance between (9,3) and (5,-3) in simplest radical form
Answer:
[tex]d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 3)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract: [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{16+36}[/tex]Add: [tex]d = \sqrt{52}[/tex]Simplify: [tex]d = 2\sqrt{13}[/tex]1. Find x
2 find ab
3.Find bc
AC = 46
AB + BC = AC
(4x + 7) + (3x + 4) = 46
4x + 7 + 3x + 4 = 46
(4x + 3x) + (7 + 4) = 46
7x + 11 = 46
7x = 46 - 11
7x = 35
x = 35/7
x = 5
AB = 4x + 7
AB = 4(5) + 7
AB = 20 + 7
AB = 27
BC = 3x + 4
BC = 3(5) + 4
BC = 15 + 4
BC = 19
if 4/3 x 3/4 = 5k, then k = ?
Answer:
k= 1 /15 x^3
Step-by-step explanation:
4/3 x 3/4 = 5k
5k= 1 /3 x^3
k= 1 /15 x^3
The required value of k in the given equation (4/3) × (3/4) = 5k is 1/5.
To find the value of k in the equation (4/3) × (3/4) = 5k, we need to simplify the left side of the equation and solve for k.
Multiplying the fractions on the left side:
(4/3) × (3/4) = 12/12 = 1
Now we have the equation 1 = 5k. To solve for k, we need to isolate it on one side of the equation.
Dividing both sides of the equation by 5:
1/5 = k
Hence, the value of k in the given equation is 1/5.
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The correct question is as follows:
If (4/3) × (3/4) = 5k, then find the value of k.
If Kathy has x pens, and her friend gives her 3 more pens. Then, Kathy will have 12 pens altogether. How can you show the relationship between the numbers of pens?
Answer:
3+x=12
x=9
Step-by-step explanation:
To solve this question, you can subtract 3 from 12 to get that Kathy started with 9 pens :)
Plz i NEED HELP ABOUT TO FINISH THIS CLASS! PLZ
17. Does the following system have a unique solution? Why?
Answer:
last one
Step-by-step explanation: