Answer:
a) 15.866%
b) 0.68268
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
We solve the above question using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 76
σ is the population standard deviation = 10
a) What percent of the scores were below 66?
x < 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x<66) = 0.15866
Converting to Percentage =
0.15866 × 100
= 15.866%
b) What is the probability that a student earned a score between 66 and 86?
For x = 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x≤ 66) = 0.15866
x = 66 = 0.15866
For x = 86
Hence,
z = 86 - 76/10
z = 1
Probability value from Z-Table:
P(x≤ 86) = 0.15866
x = 66 = 0.15866
Probability value from Z-Table:
P(x = 86) = 0.84134
The probability that a student earned a score between 66 and 86 is calculated as:
P(x = 86) - P(x = 76)
= 0.84134 - 0.15866
= 0.68268
plz help with both questions (no link plz) 15 point and will make brainly
Answer:
question 5) 340.5
Step-by-step explanation:
abigails decorating buissness charge for every hour = $100+$13.50= 113.5
for 3 hour charges will be= 113.5 x 3= 340.5
hope it helps ❤️
Help me pls TwT I’m really suck at school
Answer:
The answer is A.
Step-by-step explanation:
Ashin has been working in UAE for a decade and saved AED 125,500 which he wants to transfer now to his parent's account in India. Keeping in mind the AED – INR exchange rate for the day, which is AED 1 = 20 (approx.), find the amount of money which Arshad's parents will withdraw in India.
Answer:
2510000 INR
Step-by-step explanation:
Given
[tex]Savings = AED 125500[/tex]
[tex]1\ AED =20\ INR[/tex]
Required
The amount that will be withdrawn in India
We have:
[tex]1\ AED =20\ INR[/tex]
Multiply both sides by the savings
[tex]125500 * 1\ AED =20\ INR * 125500[/tex]
[tex]125500\ AED =125500 * 20\ INR[/tex]
So, we have:
[tex]125500\ AED =2510000\ INR[/tex]
Hence, the amount that will b withdrawn is: 2510000 INR
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C. his conclusion represent correlation and causation
What is the value of 2x^2+6x-9 when x = 3
Answer:
45
Step-by-step explanation:
We have the equation 2x² + 6x + 9 and are asked to find the value when x =3.
To solve this, all we need to do is substitute all variables with "x" to 3. Then do the properties :
2x² + 6x + 9
2(3)² + 6(3) + 9
Do exponents first :
2(9) + 6(3) + 9
Now multiply the numbers with parenthesis next to them :
18 + 18 + 9
Add to get the answer :
45
Answer:
27
Step-by-step explanation:
We have the equation:
2x^2+6x-9
If x = 3, we can substitute 3 in for the x values.
We get the equation:
2([tex]3^{2}[/tex]) + 6(3) - 9
Using PEMDAS:
First, evaluate the power.
3^2 = 9
Then, multiply the numbers.
2 x 9 + 6 x 3 - 9
We get:
18 + 18 - 9
Simplify.
18 + 18 = 36
36 - 9 = 27
Hope this helps.
Let x represent the number of batteries and y represent the cost of the batteries. A package of 8 rechargeable batteries costs $12. At this rate, how much would a package of 20 rechargeable batteries cost
Answer:
8 battery =12
20 battery =?(x)
8x=240
x=240÷8
x=30
for 20 battery..it would cost 30
Step-by-step explanation:
The cost of 20 rechargeable batteries will be $30.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The cost of A package of 8 rechargeable batteries = $12.
Now,
Since, The cost of A package of 8 rechargeable batteries = $12.
So, The cost of A package of 1 rechargeable batteries = $12/8
Hence, The cost of A package of 20 rechargeable batteries is,
= $12/8 x 20
= $30
Thus, The cost of 20 rechargeable batteries will be $30.
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PLEASE HELP!!!
I will mark you as brainleist.
!!!!!
Answer:
7.722cm^2, x=129
Step-by-step explanation:
12*12=144- area of the whole square
the diameter for the circle is 12
radius is 6
Area for circle= pi* r²
3.142*6^2=113.112
144-113.112=30.888
30.888/4=7.722
What is the mean of the following data set: 100, 121, 105, 113, 108
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
PLEASE HELP ME
GIVING BRAINLIEST
Answer:24
Step-by-step explanation:
find the area of the figure. use 3.14 for pi
Answer:
33.29
Step-by-step explanation:
A=πr^2
A=π2^2=12.57
12.57/2=6.29
7-4=3
3x2=6
6/2=3
4x6=24
6.29+3+24=33.29
I’ll mark brainliest. I really need help on this pleaseee!!
Alli has $382.45 in her checking account and $450 in her savings account. She writes a check for $400. Alli's bank automatically takes money from her savings to cover the amount of a check if the money in the checking account is not sufficient. Unfortunately for Alli, the bank also withdraws $25 from her savings account for this service. Once the check has cleared, how much money does Alli have in her savings account?
Answer:
Alli has $450 in her saving account bank withdraws $25 from her saving account
alli's bank automatically takes $400
after the check is cleared
she will get = $450+$400-$25 = $825
Step-by-step explanation:
hope it helps ❤️
The amount left in Alli's savings account after the check has cleared is $407.54.
it is given that
money in checking account= $382.45
money in savings account= $450
the value of check= $400
service charge deducted by bank in case money is not sufficient in check account = $25
What will be the amount left in the savings account of Alli after the clearance of the check?the amount left in Alli's savings account after clearance of check will be:
the amount already present in the savings account - extra money needed for clearance of check - Service charge levied by the bank.
the amount left in Alli's savings account after clearance of check
450-(400-382.54)-25 = $407.54
therefore, the amount left in Alli's savings account =$407.54
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Marcy mailed a package weighing1.337 kilograms. How does the value represented by the 3 in the tenths place compare with the value represented by the 3 in the hundredths place?
If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths. The second digit to the right of the decimal point indicates the number of hundredths.
In this case the .3 indicates 3/10ths of a kilogram. or 300 grams!
In the other case 0.03 indicates 3/100ths of a kilogram or 30 grams!
So, to compare the two:
the tenths decimal is 10 times bigger than the decimal in the next spot (hundredths)
Hope this helps!
2. A toy factory produces 280 fidget spinners per day, and
each spinner is tested before it is packaged and shipped. After
testing the first 40 spinners, Carlos finds 3 of them to be
defective. Based on these
results, which of the following is
likely the total number of defective spinners on that day?
F. 7
G. 21
H. 120
J. 240
The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.
Answer:
9 inches
Step-by-step explanation:
Perimeter of equilateral triangle = 3x
Perimeter of square = 4x
3(x + 6) = 9 + 4x
3x + 18 = 9 + 4x
-x = -9
x = 9
there are between 24 to 40 students in a class. the ratio of boys to girls is 4:7. how many students are in the class.
Answer:
8 students
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
There are 4:7 boys to girls, so there is a multiple of 11 people, 4 + 7 = 11.
there are 4*3 boys and 7*3 girls, 12 boys and 21 girls
Cole is saving money from his summer job. He wants to buy a new video game that costs 45.25. He will save the same amount each week for 5 weeks. How much money will Cole save each week for the video game?
Cole will have to save 9.05 for 5 weeks in order to get the video game.
How to solve this problem- 45.25 ÷ 5 = 9.05
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bai ^^
In the diagram below , if m
66
68
72
78
Answer:
∠ QST = 68°
Step-by-step explanation:
∠ QST + ∠ RSQ = ∠ RST , that is
∠ QST + 64° = 132° ( subtract 64° from both sides )
∠ QST = 68°
PLEASE HELP ME IT’S DUE TODAY
Determine if each pair of triangles is similar. If they are similar, justify your answer.
Answer:
ummmm
Step-by-step explanation:
Answer:
No 4: the triangle are similar by congruency SAS(side angle side)
No 5: this is also similar by SAS
No 6: this is similar by AAS ( angle angle side)
No 7: this is similar by RHS ( right angle hypotenuse one side )
No 8: this pair of triangles are not similar
No 9: this is similar by SAS
No 10: this pair of triangles are similar by SAS ( side side side)
No 11: this triangle is similar by SSS
No 12: this triangle is similar by SSS
20 people each bring 3 food dishes to an awards banquet. The dishes are shared equally by 180 people at the banquet. How many people share 1 food dish?
Answer:
3 people
Step-by-step explanation:
If 20 people each bring 3 food dishes to an awards banquet, the total amount of food brought will be (20 * 3) = 60foods
If the dishes are shared equally by 180 people at the banquet, then;
60foods = 180 people
1 food = x
Cross multiply
60* x = 180
60x = 180
x =180/60
x = 3
Hence 3 people will share 1 dish
The average blue whale gains weight at a constant rate each day during its first six months of life. The relationship between the average blue whale's weight in tons, w, and its age in days d, for the first six months of its life can be modeled by the function w = 0.1d +3. Based on this relationship, which statement is not true for the average blue whale?
Answer:
Many of them. For example: They do not grow in those 6 months. If you are asking about the weight, it could various different answers.
There are 32 students in a class.15 students play football only; 10 students play cricket only : 3 students do not play any games. How many students play both games?
Answer:
4 students
Step-by-step explanation:
32 - 3 = 29
10 + 15 = 25
29 - 25 = 4
Please please help me with this question
Profile: John John is a 35 year old, divorced man with one child (who lives with his mom). His take home pay is $4123 per month. He pays $1200 per month in child support to his ex-wife. He owns a 2-storey home and his monthly mortgage payments are $475 every 2 weeks. His car expenses total $145 monthly and his car insurance costs him $113 every month. His house insurance is $47.36 monthly. John also has an outstanding credit line of $8500. The only amount due on this account is the interest of about $55 monthly. However John is trying to pay off the credit line within the next 2 years, so he pays off as much of this loan as he can afford each month.
1.Use one highlighter to identify all sources of income. Total the income for each month.
2.Use a different highlighter to identify all sources of expense. Total the expenses for each month.
3. Subtract the Total Expenses from the Total Income for each
month. A Surplus is when your Income minus Expenses = a positive number.
A Shortage is when your Income minus Expenses = a negative number. Does he have a surplus or a shortage?
Answer:
1. Income highlight: $4123 of take home pay. That's it.
Total monthly income: $4123
------------------------------------
2. Expense highlight:
$1200 child support
$475 every 2 weeks
$145 car payment
$113 car insurance
$47.36 house insurance
$55 loan payment
Total monthly expense: $2510.36
(1200 + 2(475) + 145 + 113 + 47.36 + 55 = $2510.36
---------------------------------------------
3. $4123 - 2510.36 = 1612.64 surplus
--------------------------------------------
The only question remaining is what if they want him paying more on his credit line...it's kind of a variable expense at this point.
John also has an outstanding credit line of $8500. The only amount due on this account is the interest of about $55 monthly. However John is trying to pay off the credit line within the next 2 years, so he pays off as much of this loan as he can afford each month.
1=-10
Hello. I'm currently a freshman in highschool and ran across this question and I forgot how to do it before. Can i get some help?
you have 11 art projects that weigh 24 pounds. If you give you mom 7 of your art projects, how much would her box weigh?
The weight for mom's boxes is obtained as 41.41 pounds.
What is weight?
Weight gauges how much gravity is pulling on a body.
The weight formula is provided by -
w = mg
Since weight is a force, it has the same SI unit as a force, which is the Newton (N).
Use a proportion to solve this problem.
Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -
weight of 11 art projects / 11 = total weight / 24
Solving for the total weight -
total weight = (weight of 11 art projects / 11) x 24
total weight = 2.18 x 24
total weight = 52.32 pounds
So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -
weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)
weight of 4 art projects = (24 - (7/11) x 24)
weight of 4 art projects = 10.91 pounds
So, mom would be receiving 7 art projects weighing a total of -
weight of 7 art projects = (total weight - weight of 4 art projects)
weight of 7 art projects = (52.32 - 10.91)
weight of 7 art projects = 41.41 pounds
Therefore, mom's box would weigh 41.41 pounds.
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Find the value of x in this equation?
-1 = x - 2
Answer:
-1=x-2
-1+2=x
x=1
Step-by-step explanation:
answer for brainlest and 10 points
Let x2+8x=7 .
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x2+8x+ ? = ?
Answer:
x²+8x+16=24
Step-by-step explanation:
x²+8x=7 (+16)
x²+8x+16=7+16=24
(x+4)²=24
The values to be entered in the boxes are 16 and 23.
Given the equation is [tex]x^2[/tex]+8x=7
To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.
First, take half of the coefficient of the x-term (8) and square it:
[tex](8/2)^2[/tex] = 16
Now, add 16 to both sides of the equation:
[tex]x^2[/tex] + 8x + 16 = 7 + 16
Simplifying:
[tex]x^2[/tex] + 8x + 16 = 23
Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23
The values to be entered in the boxes are 16 and 23.
Hence, [tex]x^2[/tex] + 8x + 16 = 23.
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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
x ~0.9
Step-by-step explanation:
To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.
[tex]tan(83)=\frac{7}{x}[/tex]
Manipulate the equation so that it is solved for (x),
[tex]x=\frac{7}{tan(83)}[/tex]
x ~ 0.859
A box of dried fruit has 39 calories in 3 servings. How many calories are there per serving?
Answer:
13 calories
Step-by-step explanation:
39 calories =3 servings
1 serving = 13
39÷3 =13