Alex has been studying for the certified management exam. Results from the last exam indicate that the mean was 62 with a standard deviation of 6. He needs to be in the top 20% (80th percentile) to pass. Use z value with two decimal places, 1.28, in your calculations. What score will place Alex in the top 20% of the distribution
Alex needs a score of about 70 to be in the top 20% of the distribution
Z scoreThe z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is raw score, μ is mean and σ is standard deviation.
Given that μ = 62, σ = 6, z = 1.28, hence:
1.28 = (x - 62) / 6
x = 69.68
Alex needs a score of about 70 to be in the top 20% of the distribution
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Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
Answer:
BCE
Step-by-step explanation:
Omar is in charge of planning a reception for 1800 people. He is trying to decide which snacks to buy. He has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results
Favorite Snack Number of People
Potato chips 28
Pretzels 36
Cookies 48
Other 63
Based on the above sample, predict the number of the people at the reception whose favorite snack will be potato chips. Round your answer to the nearest whole number. Do not round any intermediate calculations
Answer:
ok so first we have to find out what the sample size is so
28+36+48+63=175
then lets find what percentage 28 is of 172
16.28
so ten lets find out how many that is out of the 1800
1800*0.1628=293.04
293 people will like potato chips
Hope This Helps!!!
When the light turns green, John accelerates straight down the road at 1.8 m/s for 8 seconds. What is his final velocity at the end of those 8 seconds
Acceleration is the rate of change of velocity over time
His final velocity is 14.4 meters per second
How to determine the final velocityFrom the question, we have:
Initial velocity: u = 0 m/sTime = 8 secondsAcceleration = 1.8 m/s^2Using the first equation of motion, we have:
[tex]v = u + at[/tex]
So, the equation becomes
[tex]v = 0 + 1.8 * 8[/tex]
[tex]v =14.4[/tex]
Hence, the final velocity is 14.4 meters per second
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Can somebody please help me with this question
Answer:
About 718.0133 cm³
Step-by-step explanation:
The crucial part is to take V=4/3πr³ and multiply that by 1/2 (or divide by 2) This is because it is asking for half a sphere, which represents a bowl.
You plug in your values, which will look like: (1/2)(4/3)π(7)³. (Remember to insert 7 not 14 since it's asking for radius).
________________________________________________________
7 cubed is 343,
343 * 2/3 is about 228.66
228.66 times 3.14 is about 718.0133
-> or just 718 cm³
the difference between 2 whole number is 66 the ratio of the 2 whole number is 2.5 what are the two numbers
Given :difference between 2 whole number = 66ratio of the 2 whole number =2:5Let:1 whole number be 2x2 whole number be 5xA/Q
difference between 2 whole number = 66
Let's turn it into algebraic equation:
5x - 2x = 663x= 66x =66 /3x =22
Now Let's put value of x to find two whole numbers
Finaly :1 whole number = 2x1 whole number = 2×221 whole number =44
2 whole number = 5x2 whole number = 5×222 whole number = 110
Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning. please no links.
plese help me plese
Answer: 81/8 kg
Step-by-step explanation:
6 + 3/4 = 27/4
1 + 1/2 = 3/2
27/4 x 3/2 = 81/8
27/4*3/2=33/4 kg of apples
What is the answer for 7÷ 4/5
Answer:
7 ÷ 4/5 is 8.75 as a decimal or 8 3/4 as a fraction
Answer:
8¾
Step-by-step explanation:
7÷ 4/5
7 × 5/4
= 35/4
= 8¾
4.5 multiplied by -1.7
Answer:
-7.65
Step-by-step explanation:
Enter and equation relating the variables in the table. Express any value(s) in your answer as simplified fractions, if necessary.
Time (x) - 18, 45, 72, 81
Distance (y) - 8, 20, 32, 36
The equation is y =
Answer:
[tex]y=\dfrac49x[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)[/tex] = (45, 20)
Let [tex](x_2,y_2)[/tex] = (72, 32)
using slope formula to find slope [tex]m[/tex]:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{32-20}{72-45}=\dfrac49[/tex]
using point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-20=\dfrac49(x-45)[/tex]
[tex]\implies y-20=\dfrac49x-20[/tex]
[tex]\implies y=\dfrac49x[/tex]
Given 64 / 108, what common factor would reduce this fraction to its lowest terms?
Answer:
Common factor of 4
Simplest terms is 16/27
Step-by-step explanation:
Let's find the factors of both numbers
64:
1, 2, 4, 8, 16, 32, 64108:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108The greatest common factor is 4
The fraction in simplest terms would be [tex]\frac{64}{108}*\frac{4}{4} = \frac{16}{27} \text{ cross reduce}[/tex]
-Chetan K
Which statements apply to the expression 3/5 ? Check all that apply
Answer:
See below.
Step-by-step explanation:
I assume the fraction 3/5 is raised to the 3rd power.
I assume this is the given expression.
[tex] (\dfrac{3}{5})^3 [/tex]
The base is 3/5 True
The base is 3 False
The exponent is 3 True
The expanded form is [tex] \dfrac{3}{5} \times \dfrac{3}{5} \times \dfrac{3}{5} [/tex] True
The expanded form is [tex] \dfrac{3 \times 3 \times 3}{5} [/tex] False
[tex] (\dfrac{3}{5})^3 = \dfrac{9}{15} [/tex] False
[tex] (\dfrac{3}{5})^3 = \dfrac{27}{125} [/tex] True
Acellus
Follow the steps in purple to evaluate:
4/9 + (-2/3
To add or subtract fractions, their denominators
must be the same. In this problem, we can get a
common denominator by multiplying the second
fraction by 3/3.
(-2/3) • 3/3
=
What number belongs in the green box?
By taking the product of the two fractions we will see that the number that goes in the green box is a 6.
How to add two fractions?
We only can add two fractions if we have the same denominator in both of them, here we want to transform -2/3 in an equivalent fraction, such that the denominator is 9, so we multiply both the numerator and denominator by 3.
So we need to solve:
[tex]\frac{-2}{3}*\frac{3}{3} = \frac{-2*3}{3*3} = \frac{-6}{9}[/tex]
From that, we can conclude that the number that goes in the green box is 6.
If you want to learn more about fractions, you can read:
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A student bought a sandwich for 80 cents, milk for 20 cents, and a pie for 30 cents. How much did the meal cost?
[tex]\huge \text{Hello there! :)}[/tex]
Answer:
130 cents, or $1.30.
Step-by-step explanation:
To find the total cost of the meal, add the costs of each product.
Since the cost of the sandwich was 80 cents, the cost of the milk was 20 cents and the cost of the pie was 30 cents, then the total cost of the meal (in cents) is:
[tex]80+20+30[/tex]
Add the numbers from left to right. Since 80+20 is equal to 100, then:
[tex]80+20+30=100+30[/tex]
Finally, notice that 100+30 is equal to 130:
[tex]100+30=130[/tex]
So, the total cost of the meal was 130 cents. Each 100 cents is equal to 1 dollar. Then, 130 cents is the same as $1.30.
Therefore, the cost of the meal was 130 cents, or $1.30.
It was a pleasure helping you today! :)
[tex]\huge \text{Thanks for choosing Brainly!}[/tex]
Answer: $1.30
Step-by-step explanation:
Pls, Help me I will mark Brainliest for the first and correct answer...
You know that 30% of a number is close to 25. What do you know about 90% of that number?
Answer:
90% is close to 75
Step-by-step explanation:
90% of a number would be 3 times 30% of a number. As a result we can assume 90% of the number would be around 3(25) or 75
please help with this ques
Answer:
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quadrants ||
quadran |
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Please help with math (50 points)
Answer:
1. x = 62.7 , y = 12.4
2. x = 5.9 , y = 19.2
Step-by-step explanation:
sorry i dont have the time to explain...
Select the best answer for the question.
1. Last week you worked the following hours:
• Monday, 51/2
Wednesday, 63/4
Friday, 41/2
Answer:
heyy here's your answer hope it helps
A street sign is 80 inches tall. How tall is it in feet and inches?
Answer:
The height of feet would be 6.666 just be a line above the second 6 and inches would be 960.
Helped by QueenTlove Have an nice day
Help would be greatly appreciated
thanks!
Answer:
the 2nd, 3rd, and 5th option
Step-by-step explanation:
Help plsssssssssssss
Answer:
5. a) 2.140 + 1.725 = 3.865
b) 29.99 + 1.42 = 31.41
c) 6.157 - 1.009 = 5.148
6) 7.4 - 0.0022 = 7.2978 ✅
7.39 - 0.0012 = 7.3888
7. 140minutes / 2 hours and 20 minutes
A rectangular room has a width 1.6 times its length, and its perimeter is 26 meters. Find the dimension of the room, round to the hundredth place.
Answer:
The dimension of the room is Length of 5m and Width of 8m
Step-by-step explanation:
Formula for perimeter of a rectangle is;
P = 2(L + W)
Where;
L is length
W is width
We are given;
Width; W = 1.6L
Perimeter; P = 26 m
Thus;
2(1.6L + L) = 26
2(2.6L) = 26
5.2L = 26
L = 26/5.2
L = 5 m
W = 1.6 * 5
W = 8 m
f(x)=x^2+4x-21 find the x intercepts
Answer:
y = (0, -21)
Step-by-step explanation:
Could i get brainliest?
The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.
Answer:
Here to get the points thanks for recommending this ur so nice.
Step-by-step explanation:
solve the equation 2x²+3x-6=0 give your answer correct to 2 decimal places
Answer:
1.14 and -2.64
Step-by-step explanation:
Tomas drew a rectangle with an area of 6 square cintemeters. What is the greatest possible perimeter for this rectangle
Answer:
10 sq cm
Step-by-step explanation:
if the area of this rectangle is 6, then the sides must be 3 by 2 since
3+3+2+2 = 10 cm
Express cos 543 as a function of the reference angle.
Question 3 options:
cos183
-cos-3
cos-3
-cos3
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution :
[tex]\qquad \sf \dashrightarrow \: \cos(543 \degree) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cos( 360 \degree+ 183 \degree)[/tex]
[tex]\qquad \sf \dashrightarrow \: \cos(183 \degree) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cos(180 \degree + 3 \degree) [/tex]
[tex]\qquad \sf \dashrightarrow \: - \cos(3 \degree) [/tex]
Therefore, the correct choice is D
What’s the missing number in sequence 127, 144, 48, 66, 33, ?
The missing number in the sequence is 52.
What is the missing number in the sequence?In order to determine the missing number, the pattern in the sequence has to be determined.
The difference between the second and first number is 144 - 127 = 17
The third number is 3 times smaller than the second number: 144 / 48 = 3
The difference between the fourth number and the third number is 66 - 48 = 18.
The fifth number is 2 times smaller than the fourth number: 66/33 = 2
Based on this sequence, the sixth number would be 19 more than the fifth number. 33 + 19 = 52
To learn more about sequences, please check: https://brainly.com/question/11266123
A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean amount eaten by the 10 dogs is 14 oz. The sum of squared deviations is 220. What is the variance for this data set
Using statistical concepts, it is found that the variance for this data set is of 22 oz squared.
What are the mean and the variance of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
From the second bullet point, the variance can also be interpreted as the sum of squared deviations divided by the sample size.
In this problem, the sum of squared deviations is 220 and the sample size is 10, hence, the variance for this data set is of 22 oz squared.
You can learn more about the mean and the variance of a data-set at https://brainly.com/question/18087235