Answer:
65.426
Step-by-step explanation:
Given that:
Mean height (m) = 68 inches
Standard deviation (s) = 2 inches
Height required to be taller than 90% of the class :
P(Z > x) = 0.9
The corresponding Zscore is - 1.282 (Z probability calculator)
Using the Zscore relation :
Zscore = (x - m) / s
-1.282 = (x - 68) / 2
-1.282 * 2 = x - 68
-2.564 = x - 68
-2.564 + 68 = x
x = 65.436
Solve forX
9(x + 1) = 25 + x
Ox=2
Ox=3
Ox=4
Ox=5
Answer:
x=2
Step-by-step explanation:
9x+9=25+x
subtract 9 on both sides
9x=16+x
subtract x on both sides
x=2
The solution of equation 9(x + 1) = 25 + x is x =2, which is option A.
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
Given information:
The equation is 9(x + 1) = 25 + x.
To solve for x, we need to isolate x on one side of the equation.
9(x + 1) = 25 + x
First, we can distribute the 9:
9x + 9 = 25 + x
Next, we can simplify by subtracting x and 9 from both sides:
8x = 16
Finally, we can solve for x by dividing both sides by 8:
x = 2
Therefore, the solution is x = 2.
To learn more about the equation;
https://brainly.com/question/12788590
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I have 86 chocolate chip cookies and 42 sugar cookies what is the greatest number of identical packages that I can make
Step-by-step explanation:
Given that,
No. of chocolate chip cookies = 86
No. of sugar cookies = 42
We need to find the number of identical packages that I can make.
It means we need to find the HCF of these 2 number.
Prime factorization of 86 and 42 as follows :
86 = 2 x 43
42 = 2 x 3 x 7
HCF = 2
Hence, I can make 2 identical packages.
Answer:
Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.
in hostel of 40 students there is food for 30 days if 20 more students join the hostel how long will the food last
Answer:
The food will last for 20 days
Step-by-step explanation:
The equation of the inverse proportional is xy = k, where k is the constant of variation
∵ In a hostel of 40 students, there is food for 30 days
→ That means the food is the constant k and the number of days y
varies inversely with the number of students x
∴ x = 40 and y = 30
∵ xy = k
∴ 40 × 30 = k
∴ 1200 = k
∴ The equation of the inverse proportional is xy = 1200
∵ 20 more students join the hostel
→ That means the number of students increased by 20
∴ The number of students in the hostel = 40 + 20
∴ The number of students in the hostel = 60
→ By using the equation above
∵ 60 × y = 1200
∴ 60y = 1200
→ Divide both sides by 60
∴ y = 20
∴ The food will last for 20 days
predict whether the product is greater than, less than, or equal to 7/10. What is the product? 10/10 x 7/ 10
Answer:
7/10 *10/10 is 70/100 or 7/10 so equal
Step-by-step explanation:
the product is 7/10.
it is 10/10which simplifies to 1(divide by 10)
so it wouldn't change
Hope this helsp zpl hit hte crown :D
the sum of three consecutive multiples of 24 is 288 find these multiples
plzz solve these question now
click on the picture attached to get the answer
hope it helps!
..........
Samuel and Jill had 576 stamps in all. Samuel gave 1/7 of his stamps
to Jill. Then, Jill gave 1/4 of the total number of stamps she now had to
Samuel. In the end, both of them had the same number of stamps.
What was the difference in the number of stamps they each had at first?
Answer:
128
Step-by-step explanation:
Sam has X stamps.
Jill has (576-X) Stamps.
X-x/7 = 6x/7 = Sam's bal.
576-x + x/7 = 576 - 6x/7 = Jill's bal.
1/4(576-6x/7) = 144 - 6x/28
3/4(576-6x/7) = 432 - 9x/14 = Jill's new
bal.
6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =
144 + 9x/14 = Sam's new bal.
Jill's new bal = Sam's new bal
432 - 9x/14 = 144 + 9x/14
18x/14 = 144-432 = 288
18x = 4032
X = 224
576-X = 576-224 = 352.
Difference = 352 - 224= 128
Use a model to divide. 1/4 divided by 3.
Possible answers are,
3/6
9
1/12
1/6
9 is the answer I hope this helped
Can someone help me ASAP !?
Answer:
1/6
Step-by-step explanation:
2 is 1/6th of 12
5 is 1/6th of 30
Answer:
C.) 6
Step-by-step explanation:
I multiplied the number 2 by X and my sum was Y.
plz somebody help me i’ll give you 40 points
Answer:
-3+-2
Step-by-step explanation:
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
Real answer please
What is the value of y in the solution to this system of equations?
y=3-2x/2
4x-6y=36
Answer:
idekqwarwera
Step-by-step explanation:
What is -2 2/3 divide by -1/2
Answer:
16/3
Step-by-step explanation:
Answer:
5 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−8/3 ÷ −1/2
Applying the fractions formula for division,
=−8×2/3×−1
=−16/−3
Simplifying -16/-3, the answer is
=5 1/3
Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10
Answer:
a = 6, b = 8
Step-by-step explanation:
given (2,1)
2a - 1b = 4
-1a + 2b = 10
this gives us:
a + b = 14
solve for a
a = 14 - b
plug into first equations
2(14-b) - b = 4
28 - 2b - b = 4
28 - 3b = 4
24 = 3b
b = 8
now plug b back into your equation for a, and you get:
a = 14 - 8
a = 6
SOMEONE PLEASE HELP ME!! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!
Answer:
12 miles in one hour
Step-by-step explanation:
60 minutes in an hour
60/15= 4
4*3=12
Jayson can make 4/5 of a 5 layers cake in 15 minutes. At this rate, how many cakes can Jayson make in 1 hour?
Answer:
3.2 cakes a hour
Step-by-step explanation:
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the school $300 to pay the referees for the game. The school wants to make profit on the game, and 75 people attended. This is represented by the system:
5x +3y > 300
x+y = 75
which of the following points is a solution to the system?
(30,45)
(40,35)
(20,15)
(25,70)
Answer:
(40,35)
Step-by-step explanation:
Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.
Now we just test out each x and y possibility
We know 5x+3 > 300
So lets try the first one
30 is x
45 is Y
5*30=150
45*3=135
Now if you add them
285
285 is not greater than 300 so thats wrong
SO B is correct
But lets check just in case
5*40=200
3*35= 105
305 IS greater than 300
305 > 300
SO B is correct
The point (40,35)
Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²help me please !!!??!!?
Answer:
23358.1
Step-by-step explanation:
Answer:
216.2
Step-by-step explanation:
[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]
The length of a rectangle is 5.9 cm more than 3 times the width. If the perimeter of the rectangle is 57.4cm, what are it's dimensions.
Answer:
l = 23 cm and w = 5.7 cm
Step-by-step explanation:
Perimeter = twice the length plus twice the width
let w = width
let l = length
l = 5.9 + 3w
57.4 = 2(5.9 + 3w) + 2w
57.4 = 11.8 + 6w + 2w
57.4 = 11.8 + 8w
45.6 = 8w
w = 5.7
Substitute 5.7 for 'w' to get 'l':
l = 5.9 + 3(5.7)
l = 23
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies,
how many cookies does he bake?
A. 60 cookies
B. 90 cookies
C. 360 cookies
D. 3,600 cookies
Answer:
360 cookies
Step-by-step explanation:
60 times 6= 360
Two ships leave the port at 12 noon. Ship A is traveling at the bearing of 146 at 20 miles per hour, and ship B travels at a bearing of N32 E at 28 miles per hour. Approximate how far apart ships are at 3 PM. At what bearing ship A is from ship B at 3 PM.
Answer: [tex]d = 103.23 miles[/tex] apart.
Step-by-step explanation:
given data:
ship a = 20miles. = 60miles
ship b = 28miles. = 84miles
time interval = 3hrs.
θ = 90
[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]
[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]
[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-0[/tex]
[tex]d = \sqrt{10656[/tex]
[tex]d = 103.23 miles[/tex]
pls help this is not graded
Answer:
70 degrees
Step-by-step explanation:
anser fast 2.3 x (−1.2)= what for 79 points
Step-by-step explanation:
2.3 * (-1.2)
= -2.76.
Hence the answer is -2.76.
Answer:
[tex]\Large \boxed{\sf -2.76}[/tex]
Step-by-step explanation:
Chris spending some of his birthday money on art supplies. He spends 1/6 of his money on paint and 2/3 of his money on markers. What fraction of his birthday money does he have left? (multi-step problem -must dd and subtract)
A. 5/6
B. 3/6
C. 1/2 (wrong)
D. 1/6
Find the value of the following expression:
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps.
Answer:
9Step-by-step explanation:
(2⁸ ⋅ 3⁻⁵ ⋅ 6⁰)⁻² ⋅ (3⁻²/2³)⁴ ⋅ 2²⁸ =2⁻¹⁶·3¹⁰·3⁻⁸·2⁻¹²·2²⁸ =2⁻¹⁶⁻¹⁰⁺²⁸ · 3¹⁰⁻⁸ =2⁰ · 3² =1 · 9 =9Complete this division sentence.
9988 + 23 =
R
Correct question is;
Complete this division sentence.
9988 ÷ 23 = R
Answer:
9988 ÷ 23 = 434 R 6
Step-by-step explanation:
....... 434
_________
23|9988
......92
¯¯¯¯¯¯¯¯¯¯¯
........ 788
.........69
¯¯¯¯¯¯¯¯¯¯
........... 98
............92
¯¯¯¯¯¯¯¯¯¯¯
............. 6
Thus ; 9988 ÷ 23 = 434 R 6
What is -10=k+6 please show work thank you
Answer:
k=-16
Step-by-step explanation:
-10=k+6
subtract 6 both both sides to isolate the variable
-16=k
Happy Holidays!!
Answer:
K= -16
Step-by-step explanation:
k=( -10)_6
make as brainlist
LOOK AT PICTURE, THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)
Answer:
C
Step-by-step explanation:
It has to be either A or C because the function is decreasing as you move left to right, this only occurs when the number inside parenthesis is less than 1.
It isn't A because if you plug in x=0, the value is 2, but on the graph it is greater than 2.
pleae give thanks by hitting heart button :)
What is the opposite of the opposite of -1.4?
Answer:
1.4
Step-by-step explanation:
when we add -1.4 and 1.4 we get zero so its the opposite
ZA and ZB are complementary angles. If m_A= (7x + 28)° and m
ZB = (8x + 2)°, then find the measure of ZA.
Answer:
mA=56 degrees
Step-by-step explanation:
Complementary angles adds up to 90 degrees. This imply that
[tex](7x+28)+(8x+2)=90[/tex]
From this equation, we can find x:
[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]
Now, we can substitute the value for x into the angle mA:
[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]
