The number of eight-digit codes could she make using the digits in her birthday is 1120 digits
Since the order of the arrangement of the digits matter, we use permutations
What are permutations?Permuations are the number of ways of arranging n objects in r ways. It is given as ⁿPₓ = n(n - 1)(n -2)...(n - x + 1). If we have r identical objects out of n objects, the number of arrangements are n!/r!
Now, since in the date Lucy was born 11/09/1993 has eight digits, we need to find the number of permutations the eight digits of her birthday to form an eight digit code.
Since there are 8 digits, three one's, three nine's, one 1 and one 3.
The number of permutations of these digits in an eight digit code, since we have repeated objects are n = 8!/3!3!1!1!
= 40320/6 × 6 × 1 × 1
= 40320/36
= 1120 digits
So, the number of eight-digit codes could she make using the digits in her birthday is 1120 digits
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The strip below is cut into 10 equal bars. Shade of this strip. 1/2
Answer:
Shade in 5 parts of the 10 strip.
Step-by-step explanation:
I didn't get an image but what I think the problem looks like is this, 10 empty strips, but just fill in 5, then it looks like the second image.
if it is 9'oclock now what time will it be in 16hours time
Answer:
1 AM
Step-by-step explanation:
9AM(start time) to 9PM = 12 hours + the other 4 Hours, 10PM, 11PM, 12PM, 1AM(end time).
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
the answer is 153.86 ft squared
= the formula for the area of a circle is A=πr2
= area = pi x radius squared
= the radius is 7 feet, square that to get 49
= multiply 49 by pi to get the area: 153.86 square feet
153.86 ft squared
Answer:
153.86 ft squared
Step-by-step explanation:
As per given question we have provided that :
➟ Radius of circular pool = 7 feetWe need to find :
➟ Area of circular poolHere's the required formula :
[tex]{\dashrightarrow\sf{A = \pi {r}^{2}}}[/tex]
↝ A = Area ↝ π = 3.14 ↝ r = radiusSubstituting all the given values in the formula to find the area of circular pool :
[tex]{\dashrightarrow{\sf{Area = \pi {r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14{(7)}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14{(7 \times 7)}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14{(49)}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14 \times 49}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 153.86}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Area = 153.86 \: {ft}^{2}}}}}}[/tex]
Hence, the area of circular pool is 153.86 ft².
[tex]\rule{300}{1.5}[/tex]
Please help for brainliest :)))
Scatter Plot and Equation of the Line of Best Fit
1. 83.92
2.15.88
3. 19.66
Question 1-6
Given parallelogram ABCD, which of the following statements about its angles must be correct?
O It has two pairs of complementary angles.
O It has two pairs of supplementary angles.
O
All of its angles are acute.
O The sum of the measures of its angles is 180°.
Answer:
the sum of the measures of it's angles is 180
Question 7 of 10
Which facts are true for the graph of the function below? Check all that apply
FX) = 3.4%
A. It is increasing
B.the y intercept is (0,3)
C. The range of f(x) is y>4
D. The domain of f(x) is all real numbers
E. It is decreasing
F. The y intercept is (0,4)
Answer:
It is increasing
The y-intercept is (0, 3).
The domain of F(x) is all real numbers.
find the range of the given function -
[tex]f(x) = x {}^{2} [/tex]
thankyou ~
Step-by-step explanation:
f(x) = x² + 2 XER ... Range of f(x) = (2, ∞)
x² ≥ 0
x²+2 ≥ 2
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for n 76, Round to the nearest whole number.
A 70 in.2
B 84 in.2
C 154 in.2
D 224 in.2
Which of the following statements is true about the number 30/2?
A. It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
B. It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
C. It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
D. It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.
Answer:
It's A :)
Step-by-step explanation:
30/2 is 15
15 is a whole number so it applies to everything except for irrational numbers
Hope this helps :)
Which statement ,begin emphasis,best,end emphasis, describes the data in the scatter plot?
Answer:
D
Step-by-step explanation:
if a fire ranger on a tower 150 ft spot a fire at an angle of 30-depression, how many feet away is the tower is from the fire.
By using trigonometric relations, we will see that the distance to the fire is .173.21 ft
How to find the distance to the fire?
Here we can compare this with a right triangle. We know that one angle on the right triangle is 30°, and the adjacent cathetus to that triangle is 150ft.
Now, we want to find the hypotenuse of said triangle, which is the distance to the fire.
So we can use the trigonometric relation:
cos(a) = (adjacent cathetus)/(hypotenuse).
Replacing what we know, we get:
cos(30°) = 150ft/hypotenuse
hypotenuse = 150ft/cos(30°) = 173.21 ft
So the distance to the fire is 173.21 ft
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Find the value of the expression.
x + y + 5
for x = 3 and y = 4
Answer:
12
Step-by-step explanation:
if x = 3
and y = 4
3 + 4 + 5 = 12
what grade is this
Use the linear combination method to solve this system of equations. What is the value of x?
3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1
Negative 6
Negative 3 and two-thirds
3 and two-thirds
6
Answer:
x = -3 2/3
have a great day
Answer:
x = -3 2/3
Step-by-step explanation:
Which factor is measured to determine the winner of the shot-put competition?
A. Time
B. Speed
C. Height
D. Distance
Answer:
D. Distance
Step-by-step explanation:
Distance is measured to determine the winner of the shot-put competition
- AKIA
ABC is isosceles.
m
X = [?]
please help!!
Answer:
x = 4
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, as shown in the figure.
Equating their measures, we have ...
∠A = ∠C
8x -7 = 25 . . . . substitute the given expressions
8x = 32 . . . . . add 7
x = 4 . . . . . . divide by 8
I need help with this problem
In a class of 25 students, we want to distribute their exam paper results.
What is the probability that only 2 students DO NOT get their exam paper. (23 get theirs and 2 are swapped).
See the link in comments (or if it gets deleted, look up "partial derangement"). The number of ways in which exactly [tex]k[/tex] items from a pool of [tex]n[/tex] items can be rearranged such that only these [tex]k[/tex] items are in their original positions is
[tex]R(n,k) = \dbinom nk \, !(n-k)[/tex]
where [tex]!(n-k)[/tex] is the so-called sub-factorial that satisfies the relation
[tex]!n = \left\lfloor \dfrac{n!+1}e \right\rfloor[/tex]
and [tex]\lfloor x \rfloor[/tex] denotes the floor or greatest integer function of [tex]x[/tex], i.e. the greatest integer smaller than or equal to [tex]x[/tex].
There are 25! ways of handing back exams with no extra constraint.
There are [tex]R(25,23)[/tex] ways of handing back 23 exams to their original owners and 2 exams otherwise, and
[tex]R(25,23) = \dbinom{25}{23} \, !(25-23) = 300\left\lfloor\dfrac{2!+1}e\right\rfloor = 300[/tex]
Then the probability of returning 23 exams correctly and 2 exams swapped is
[tex]\dfrac{300}{25!} \approx \boxed{5.17\times10^{-22}}[/tex]
the prism below is made of cubes which measure 1/3 of a centimeter on one side. What is the volume?
A. 6 cubic cm
B.2/3 cubic cm
C.18 cubic cm
D.8/3 cubic cm
Find the sum of the first 21 terms of the arithmetic series.
46 +53 +60 +67+ ...
Answer:
2436
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (n/2)(2a +d(n -1))
where a is the first term, and d is the common difference.
__
This series has ...
a = 46
d = 53 -46 = 7
n = 21
So, the desired sum is ...
S21 = (21/2)(2(46) +7(20)) = 2436
The sum of the first 21 terms is 2436.
The circumference of the target above is 6,430.72 mm.
What is the diameter of the target? Use 7 = 3.14.
Circumference = 277
A.512 mm
B. 4,096 mm
C. 1,024 mm
D 2,048 mm
Answer:
2048 or D
Step-by-step explanation:
We can use the formula c=(pi)(d)
replace 6,430.72 with c!
c=(pi)(d)
6,430.72=3.14*d
- Divide both sides by 3.14 -
d = 2048
The weights of four year old boys are normally distributed with a mean of 38 pounds and a standard deviation of 4 pounds. Which of the following weights could represent the 90tn percentile for the weight of a four year old?
The weights that represent 90% of the weight of a four years old boy will be 44.58
What is a z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The weights of four years old boys are normally distributed with a mean of 38 pounds and a standard deviation of 4 pounds.
The value of the z-score at 90% will be 1.645
Then the weights that represent the 90% of the weight of a four year old will be
1.645 = (x - 38)/4
6.58 = x - 38
x = 44.58
More about the normal distribution link is given below.
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The scores awarded to 25 students for an assignment were as follows
47, 59, 86, 77, 85, 68, 42, 85, 87, 47, 36, 89, 76, 91
What is the probability that a student scored below a 50?
Answer:
HereThe numbers less than 50 (A) = 4
Total numbers (S) = 14
Probability students below 50 = 4÷14
Step-by-step explanation:
That is the correct answer of it.
What is 14% of 60 million?
If anyone knows this please answer!!
Expand Completely
(x19 +7)4
Answer:
x⁷⁶ + 2401
Step-by-step explanation:
When an exponent is raised to another exponent, the two exponent values are multiplied. When a number is raised to an exponent, the number is multiplied by itself that many of times.
(x¹⁹ + 7)⁴ ---->
x⁽¹⁹ ˣ ⁴⁾ + 7⁴ --->
x⁷⁶ + (7 x 7 x 7 x 7) --->
x⁷⁶ + 2401
help asap will give brainliest
Line segment GH has endpoint G(10,11) and H(−2, −7).
Part A: The point Z lies on segment GH and is located at (6, 5). What is the ratio of GZ: ZH?
Part B: Find the coordinates of Q such that HQ: GH = 1: 6.
Answer:
(-1,-2)
Step-by-step explanation:
The given coordinates are ,
G ( 4 , 10)
H ( -2 , -6)
Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,
→ Midpoint = ( 4-2/2 , 10-6/2)
→ Midpoint = ( -2/2 , -4/2 )
→ Midpoint = ( - 1 , -2)
Hence the midpoint is (-1,-2)PART B:To find out the midpoint,here's the formula: ((x1+x2)÷2 , (y1+y2)÷2)
Thus,the midpoint of QS is
((4+(-2))÷2 , (10+3)÷2)
=(1 , 13/2)
hope it helps!
The data set shows the number of saves made by a hockey
goalie in the last nine games. The goalie says she usually makes
28 saves per game. Why is the goalie's statement misleading?
Saves Made
23
28
23
24
24
28
26
28
29
Answer:
she only has saved 28 3 times according to the data
Step-by-step explanation:
Circle P, with a radius of 5 centimeters and tangent ¯¯¯¯¯¯ X Y , is shown below. image If the length of ¯¯¯¯¯¯ X Y is 12 centimeters, what is the length of ¯¯¯¯¯¯ P X ? A. 12 cm B. 13 cm C. 10 cm D. 5 cm
Applying the tangent theorem, the length of PX in the circle is: B. 13 cm.
What is the Tangent Theorem?The tangent theorem states that a right angle is formed at the point where the tangent meets with the radius of a circle on the circle's circumference.
Based on the tangent theorem, triangle PYX is a right triangle. Use Pythagorean theorem to find PX.
PX = √(12² + 5²)
PX = 13 cm.
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What is the volume of a rectangular cake pan that measures 13 inches by 9 inches by 2 inches?
Answer: 234 in sq.
Step-by-step explanation: Volume = length times width times height.
13 x 9 x 2 = 234 in sq.
Hope this helps.
solve x and find the missing angles
Answer:
1. x=44°
2.5x=50°
3x=30°
Step-by-step explanation:
1) 46°+x=90°
x=90-46= 44°
X= 44°
2) 5x+100°+3x=180°
8x+100=180
8x=180-100
8x=80
x=80/8
x=10
substitute the value of x in '3x' and '5x'
3*10=30
5*10= 50
