Given:
The weight in gram of 15 packets of sweets are: 55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8, 55.9, 56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8.
To find:
The value of the median and quartiles.
Solution:
We have,
55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8, 55.9, 56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8
Divide the data set in two equal parts.
(55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8), 55.9, (56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8)
Divide each parenthesis in two equal parts.
(55.0, 55.3, 55.3), 55.3, (55.5, 55.6, 55.8), 55.9, (56.1, 56.2, 56.2), 56.4, (56.7, 56.7, 56.8)
Now,
First quartile = 55.3
Second quartile = Median = 55.9
Third quartile = 56.4
Therefore, the median is 55.9 and the three quartiles are 55.3, 55.9, 56.4 respectively.
Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!
Step-by-step explanation:
the answer is in the attachment
The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.
The graph of y= 5(x + 1)²– 3The equation y = 5(x + 1)² - 3 represents a quadratic function.
The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.
The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.
The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.
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Evaluate the following expression. Round to the nearest hundredth when necessary.
6³ - 18
Answer:
198
Step-by-step explanation:
Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198
given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8? show your work.
Answer:
a) 2.66
b) 9
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that [tex]\sigma = 8.4, n = 10[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when [tex]s = 2.8[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]
[tex]2.8\sqrt{n} = 8.4[/tex]
[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]
[tex]\sqrt{n} = 3[/tex]
[tex](\sqrt{n})^2 = 3^2[/tex]
[tex]n = 9[/tex]
Select all expressions that are equivalent to -4(x+2)-2x+4
-6x-4 is the expression which is equivalent to -4(x+2)-2x+4
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -4(x+2)-2x+4
Minus four times of x plus two minus two times of x plus four
x is the variable
Plus and minus are operators
We have to find the equivalent expression of -4(x+2)-2x+4
Apply the distributive property
-4x-8-2x+4
Combine the like terms
-6x-4
Hence, -6x-4 is the expression which is equivalent to -4(x+2)-2x+4
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Probability is the chance that some event will occur or a guarantee.
y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution
Answer:
(-1,-1) works (5,5) does not
Step-by-step explanation:
y<1/4x+1[tex]\geq[/tex]3x+2
-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2
-1<-1/4+1[tex]\geq[/tex]-3+2
-1<.75[tex]\geq[/tex]-1
32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 370 grams. If a 32-week gestation period baby weighs 2375 grams and a 41-week gestation period baby weighs 2675 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A.
The baby born in week 32 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 41.
B.
The baby born in week 41 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32.
C.
The baby born in week 41 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 32.
D.
The baby born in week 32 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 41.
Answer:
Step-by-step explanation:
Answer:
Babies of 33 week weighs relatively less than the babies of 41 week.
Explanation:
Z score is determined by
x-u/sd
A) For 33 Week baby
Given
Mean 2500
SD 800
Z score is
2600-2500/800 =0.125
B) For 41 Week baby
Given
Mean 2800
SD 425
x=2900
Z score is
2900-2800/425 =0.235
The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.
Thus, babies of 33 week weighs relatively less than the babies of 41 week.
Please this is due in 52 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answer:
Angle S has a measure of 50°
Step-by-step explanation:
When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)
You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)
I NEED YOUR HELP FAST Which number is represented by point E on the graph?
A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4.
3 and one-half
Negative 0.25
Negative 1.75
Negative 2 and one-half
Answer:
The number that is represented by point E is -0.25
Step-by-step explanation:
Point E is between -1 and 0, -0.25 is also between -1 and 0, so the number that is most likely to be represented by point E is -0.25.
12 is 150% of what number?
Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Jessie spent $10 on 3 hair accessories. Which
point represents this relationship?
Answer:
A
Step-by-step explanation:
(x, y) = (3, 10) . . . . Point A
The following table shows the number of hours some students in two neighborhoods spend on social media each day
Answer:
pls add the table so i can answer
Step-by-step explanation:
Find the value of x.
A. 35
B. 10
C. 55
D. 25
Answer:
A.35
Step-by-step explanation:
trust bro
Answer:D 25
Step-by-step explanation:
You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?
Answer:
(1000, 18000) is the answer
Step-by-step explanation:
Boxes of Valentine’s Day chocolate truffles come in a variety of sizes. The dimensions of the box you decided to purchase are 15 inches by 12 inches by 1.5 inches. If each truffle in this box has a volume of 2 cubic inches, how many truffles are included in the box?
A.
Answer:
135.
Step-by-step explanation:
Volume of the box = 15*12*1.5
= 270 in^3.
So the number of truffles = 270 / 2
= 135.
The number of truffles in the box is 135.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The dimensions of the box = 15 inches x 12 inches x 1.5 inches.
The dimension of each truffle = 2 cubic inches
The number of truffles included in the box.
= (15 x 12 x 1.5) / 2
= 270/2
= 135
Thus,
The number of truffles in the box is 135.
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In their savings accounts, Jim has $250 and Norma has $400. If Jim saves $350 a month and Norma saves $300 a month, how many months will it take
for them to have the same amount in their savings accounts?
Answer:
the answer is 2 months
Step-by-step explanation:
I think
Answer:
2 monts
Step-by-step explanation:
I cant explain but it is 2 monts i solve it
Area of a right triangle with base 8cm and height 2cm is
16 square cm
8 square cm
32 square cm
Answer:
the ans is 16 square cm ok
types of quadrilaterals and their properties
Answer:
types of quadrilaterals are square, rectangle, parallelogram, rhombus, trapezium, and kite.
Step-by-step explanation:
They have many distinctive properties related to their sides, angles, and diagonals.
A quadrilateral, In general, has sides of different lengths and angles of different measures.
Answer:
Trapezium Properties-One pair of parallel sides.
Rhombus-Properties all sides are equa
Trapezoid Properties-Has one pair of opposite parallel sides
Step-by-step explanation:
QUESTION 7
Which of these pairs of points has a slope undefined ?
Check all applied.
(-1,0) and (-1, 1)
(3,9) and (3, 1)
(0,9) and (1, 1)
(8,9) and (8,1)
Answer:
This would be a, b, and d.
Step-by-step explanation:
When graphed, the slope line of each of these would look like a straight vertical line, meaning their slope would be undefined. There has to be a change in x to create a defined slope.
Evaluate each expression if m=4,z=9,and r=1/6
1. 12r
2. 60r - 4
3. 3r power of 2
Answer:
1. 12r= 2
2. 60r - 4= 6
3. 3r power of 2= 1/12
Step-by-step explanation:
1. 12r = 12* 1/6= 12/6= 2
2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6
3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12
or
(3*1/6) power of 2= (1/2) power of 2= 1/4
Find the area of the shape below.
Hint: Find the area of the two triangles and the square and add them together.
i dont know this help me
Please answer
Will give brainlst
Answer:
The answer is C
Step-by-step explanation:
There are other examples but C
Answer:
Step-by-step explanation:
A: not correct. You're changing phase. That's a physical change.
B: not correct. You are just changing the shape of something. That is physical as well. No electrons moving around is involved.
C: Here's your answer. Anytime you get a gas given off you can suspect that a chemical reaction has taken place.
D: Not true. A mixture formation is not a chemical reaction
Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled eggs. Who uses make eggs? Explain your answe
Answer:
Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Step-by-step explanation:
Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:
Sonja = 8/12 = 0.666 x 12 = 8
Olga = 5/6 = 0.83333 x 12 = 10
Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Estimate The Product of 62.375 and 9 (I Need A Clear Answer, DO NOT PUT "SORRY I DONT KNOW BLAH BLAH BLAH I NEED A NICE AND CLEAR QUESTION )
What are acute and obtuse angles
Answer:
Acute angles are less than 90 degrees and obtuse angles are great than 90 degree angles.
Answer: an acute a is anything lower than 90 degrees. And obtuse is anything higher than 90 degree.
Step-by-step explanation:
If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.
Which property is shown?
reflexive property
substitution property
symmetric property
transitive property
Answer:
B
Step-by-step explanation:
The answer is b. substitution property
PLEASE HELP ASAP 20 POINTS
The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft
1) If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?
A) 250 feet
B) 400 feet
C)500 feet
D)750 feet
2) If the width on the scale drawing of the city park is 25 centimeters and the length is 30 centimeters, what is the actual area of the park?
A) 75,000 ft^2
B) 110,000 ft^2
C) 300,000 ft^2
D) 750,000 ft^2
Answer:
1.A
2.B
Step-by-step explanation:
I hope it helps...........
Answer:
1:A
2:B
Step-by-step explanation:WELCOMEEEE HAVE A GREAT DAY :)))((()()(
Bailey spent $12.25 at the arcade on Saturday and $9.50 at the arcade on Sunday. How much money did Bailey spend anogether?
Answer:
21.75
Step-by-step explanation:
i added 12.25 by 9.50
6 R
;\: ; _6
-2
4 6
4 2
4
Help❗️❗️
Answer:
drop the 0 then add the 0 o. the top or I think