The image of the stem-and-leaf plots is in the attachment.
Answer: (a) 31 years; (b) 59 years; (c) 56 years
Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.
For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.
(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.
(b) The oldest actress is 80 and the youngest is 21, so difference is:
80 - 21 = 59
The difference is 59 years.
(c) The oldest age shared by 2 actors is 56 years.
The radius of inscribed circle is 10 what is the perimeter of square cabd
Answer:
P=80
Step-by-step explanation:
R= 10
P = R*2 *4
P of a square = 10*2 *4 = 80
Just divide by any fraction of the squares ratio.
ie) if square = 2/3 of the length of the circle then 80 x 2/3 = 53.333...
ie) if square = 3/4 of the length of the diameter of the circle then 80 x 3/4 = 60
As 3/4 pf 10 = 7.5
7.5 * 2 = 15
15* 4 = 60
Howver the square is outside of the circle as described circle inscribed exactly how much if it fits exactly then the length will be same as circles diameter = 10*2 = D;20.
20 *4 = 80. P;80
Etc.
g Suppose the company operates mine #1 for x1 days and mine #2 for x2 days. Write a vector equation in terms of v1 and v2 whose solution gives the number of days each mine should operate in order to produce 296 tons of copper and 2454 kilograms of silver. Do not solve the equation.
Answer:
The vector equation in terms of v1 and v2 is x₁v₁ +x₂v₂ = [296 2454]
Step-by-step explanation:
Solution
The aim is to write down a vector equation in terms of v1 and v2, when solution gives the number of days each mine should operate in order to produce 296 tons of copper and 2454 kilograms of silver.
Thus,
Suppose that b = [ 296 2454] is the corresponding vector which is representing the total needed output.
Now,
If the company operates mine 1 for x1 days and mine #2 for x2 days
Then,
The total output becomes x₁v₁ +x₂v₂ which is the same output to b = [296 2454]
Hence, x₁ and x₂ should be satisfactory to the needed vector equation x₁v₁ +x₂v₂ = [296 2454]
So, the vector equation becomes x₁v₁ +x₂v₂ = [296 2454]
Hey!
I'm a student.
Can you help me solve this question?
Thanks!
Answer:
9
Step-by-step explanation:
Just dont even try with these use a calculator every time. even if you're confident
Answer:
9
Step-by-step explanation:
1+2 is the first equation to do, which equals 3. Then from the beginning we have 6 ÷2 and as there is no sign from this to the brackets it will be multiply. 6÷2 is 3. multiply it by 3 (what the brackets equal) and the answer is 9
The correlation between height and weight among men age 18-74 in the U.S. is about 0.40. Say whether each conclusion below follows from the data; explain your answer. a) Taller men tend to be heavier. b) The correlation between weight and height for men age 18-74 is about 0.40. c) Heavier men tend to be taller. d) If someone eats more and puts on 10 pounds, he is likely to get somewhat taller.
Answer:
Options a, b, c are correct.
Step-by-step explanation:
First let's see the equation that governs the statement, which is the following:
[tex]r = \frac{cov (x, y)}{\sqrt{var(x) var (y)} }[/tex]
Therefore, reading options a, b, c are correct.
Since from the formula we have the correlation coefficient of two variables x and y and here it shows us the correlation between x, y and y, x is the same.
This means that the 0.4 correlation implies a moderate but positive relationship between the two variables.
that is, the highest or lowest value of one variable implies a highest or lowest value of the other variable, respectively.
Please help thank you
Answer:
8000
Step-by-step explanation:
It's the only number missing from the answer to arrive at the answer itself :)
Answer:
8,000
Step-by-step explanation:
70 + x + 8 + 800,000,000 = 800,008,078 Add on the left side
800,000,078 + x = 800,008,078
-800,000,078 - 800,000,078 Subtract 800,000,078 from both sides
x = 8,000
Plz help! U will get full points!
Answer:
2 wild cards
Step-by-step explanation:
Typical would mean most often
2 wild cards shows up 6 times which is most often
Help me plz
Find the area of the circle use 3.14 for pi
Answer:
530.93 cm thats what i got at least
Answer:
A =530.66 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is given by r =13
A = (3.14) (13)^2
A =530.66 cm^2
I need help with these questions please
Answer:
a) the graph has a minimum
b) (3, 0)
c) x=3
d) N/A
c) (0, 9)
*forgot how to solve for roots
Step-by-step explanation:
Desmos
Please answer this correctly
Answer:
# of broken crayons # of boces
1-5 1
6-10 4
11-15 5
16-20 3
21-25 1
Step-by-step explanation:
1-5: 4 (1 number)
6-10: 6, 6, 8, 9 (4 numbers)
11-15: 12, 13, 14, 14, 15 (5 numbers)
16-20: 17, 17, 19 (3 numbers)
21-25: 24 (1 number)
Answer:
Number of broken crayons Number of boxes
1-5 = 4
6-10 = 9
11-15 = 14
16-20 =19
21-25 =24
Step-by-step explanation:
To find the number of boxes compared to the number of broken crayons you have to find 5 consecutive (hence there being five boxes to fill in) numbers with a constant rate of change. Start with the largest number possible that you can pick and then find the second largest so 24 and 19 the rate of change is 5. Compared to 17 and 19 the rate of change is 2 so it doesn’t have the same rate of change but if you try 19-5 you get 14 which is an option if you subtract 14-5 you get 9 which is another option 9-5 is 4 the lowest number you could possibly pick and they all have a constant rate of change of 5 so the answer is correct.
Sandy is tiling her floor woth square tiles.The kength one of the sides of each tiles is3/4 foot.Her floor is 9 feet by 10 feet .What is the area of the tile she using to tile her floor
Hey there! I'm happy to help!
Since the tiles are square, all of their sides are the same. We see that one of the side lengths is 3/4. So, to find the area of the square, we square 3/4 (multiply it by itself)
3/4 × 3/4= 9/16
Therefore, the area of Sandy's tile is 9/16 square feet.
BONUS
We can also find the area of our floor, which is 9 feet by 10 feet, so it is 90. We can then divide by 9/16 to figure out how many tiles we need.
90/9/16=160
So, you would need 160 of these tiles to fill the floor.
I hope that this helps!
A laundry basket has 24 shirts in it for our Navy 12 arete and the remaining our way what is the probability of selecting a red shirt
Answer:
[tex]P(selecting a red t-shirt)=1/2[/tex]
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
A laundry basket has 24 t-shirts in it. Four are Navy, 12 are red, and the rest is white. What is the probability of randomly selecting a red t-shirt
EXPLANATION
Total number of the t-shirt in the laundry basket = 24
Number of Navy t-shirt = 4
Number of red t- shirt = 12
The number of white t- shirt in the laundry basket can be calculated as follow;
Total number of t- shirt - (Number of Navy t-shirt + Number of red t- shirt)
Number of white t- shirt = 24 -(4+12)
Number of white t- shirt = 8
The probability of randomly selecting a red t-shirt = [tex]Number of red t- shirt/Total number of the t-shirt[/tex]
[tex]P(selecting a red t-shirt)=12/24[/tex]
[tex]P(selecting a red t-shirt)=1/2[/tex]
Please answer this correctly
Answer:
4
Step-by-step explanation:
Set the height of the missing bar to 4 as there are 4 quantities between 21-25.
Please help! Correct answer only, please! Consider the matrix shown below: Using your calculator find the inverse of the matrix Q (i.e. Find Q^-1).
Answer: C
Step-by-step explanation:
In order to find the inverse, transpose the matrix then find the determinant of each 2 x 2 matrix within it.
[tex]Q=\left[\begin{array}{ccc}2&2&3\\1&1&1\\3&2&1\end{array}\right] \qquad \rightarrow \qquad Q^T=\left[\begin{array}{ccc}2&1&3\\2&1&2\\3&1&1\end{array}\right][/tex]
[tex]det\left[\begin{array}{cc}1&2\\1&1\end{array}\right] =\bold{-1}\qquad det\left[\begin{array}{cc}2&2\\3&1\end{array}\right]=\bold{-4}\qquad det\left[\begin{array}{cc}2&1\\3&1\end{array}\right] =\bold{-1}\\\\\\\\det\left[\begin{array}{cc}1&3\\1&1\end{array}\right] =\bold{-2}\qquad det\left[\begin{array}{cc}2&3\\3&1\end{array}\right]=\bold{-7}\qquad det\left[\begin{array}{cc}2&1\\3&1\end{array}\right] =\bold{-1}\\[/tex]
[tex]det\left[\begin{array}{cc}1&3\\1&2 \end{array}\right] =\bold{-1}\qquad det\left[\begin{array}{cc}2&3\\2&2\end{array}\right]=\bold{-2}\qquad det\left[\begin{array}{cc}2&1\\2&1\end{array}\right] =\bold{0}[/tex]
[tex]Q^{-1}=\large\left[\begin{array}{ccc}1&-4&1\\-2&7&-1\\-1&-2&0\end{array}\right][/tex]
A classic counting problem is to determine the number of different ways that the letters of "misspell" can be arranged. Find that number.
Answer:
10,080 different ways that the letters of "misspell" can be arranged.
Step-by-step explanation:
Number of arrangents of the letters of a word:
A word has n letters.
The are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] times
So the number of distincts ways the letters can be arranged is:
[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]
In this question:
Misspell has 8 letters, with s and l repeating twice.
So
[tex]N_{A} = \frac{8!}{2!2!} = 10080[/tex]
10,080 different ways that the letters of "misspell" can be arranged.
PLEASE ANSWER THIS!
In the diagram, PQRS, JQK and LRK are straight lines
Р
Question 1
Question 2
Question 3
J-
2yQ
Question 4
O
x
K
Question 5
Question 6
Question 7
Question 8
Question 9
M
33°
DO
R
L
2x/
Question 10
S
What is the size of the angle JKL?
Question 11
Question 12
Question 13
Question 14
A Question 15
Question 16
Question 17
Question 18
Question 19
37°
38°
36°
34°
35°
Answer:
38°
Step-by-step explanation:
The sum of angles that make a line is 180°; the sum of angles in a triangle is 180°. So, we have the following relations:
2x +y +A = 180
2y +x + B = 180
A +B +33 = 180
Adding the first two equations and subtracting the third, we get ...
(2x +y +A) +(2y +x +B) -(A +B +33) = 180 +180 -180
3x +3y -33 = 180
x + y - 11 = 60
x + y = 71
__
We know vertical angles are congruent, so in triangle QRK, we have ...
2y +2x +∠K = 180
∠K = 180 -2x -2y = 180 -2(x +y) = 180 -2(71)
∠JKL = 38°
Answer:
38 degrees
Step-by-step explanation:
When each of the following is divided by 8, only ?_ has a remainder that is a prime number. A) 548 B) 569 C) 678 D) 778
Answer:
the answer you are looking for is D 778
Find the lengths of the 2 Missing sides of each triangle
Green
x=14.7
y=8.5
Red
x=3.5
y=6
Saved
250 mg
sing value in
50 mg
10 ml
X
Choice
Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
A.) a line labeled g(x) that passes through points 0, negative 4 and 2, 0
B.) a line labeled g(x) that passes through points 0, negative 3 and 4, 5
C.) a line labeled g(x) that passes through points negative 5, negative 3 and 0, 7
D.) a line labeled g(x) that passes through points 0, negative 7 and 5, 3
Answer:
B.) a line labeled g(x) that passes through points 0, negative 3 and 4, 5
Step-by-step explanation:
I graphed both equation on the graph below to find the description of the graph of g(x).
Answer:
b for brakes?
Step-by-step explanation:
What’s the correct answer for this?
Answer:
B. The radius
Step-by-step explanation:
The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle so we need to know the radius for it
Which of the following points is in the solution set of y
PLEASE ANSWER FAST!
PROBABILITY QUESTION
Answer:
1/3
Step-by-step explanation:
There are 3 cards and out of the three you only have one one third chance of picking each number
Which is the population standard deviation of the data set: 53, 35, 40, 38, 42
Answer:
daddy wants some more dior
Step-by-step explanation:
The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length of the driveway.
Answer:
width -- 10 ftlength -- 35 ftStep-by-step explanation:
We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.
The area is the product of length and width, so is ...
A = (3x +5)(x) = 3x^2 +5x
To make the area 350, we can find the value of x from ...
3x^2 +5x = 350
This can be solved a number of ways. One of them is "completing the square".
3(x^2 +5/3x) = 350
We choose to divide by 3 and add the square of half the x-coefficient.
x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2
(x +5/6)^2 = 4225/36 . . . . simplify
x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root
x = 10 or -11 2/3 . . . . subtract 5/6
The positive solution is the one of interest: x = 10.
The driveway is 10 ft wide and 35 ft long.
What is an equation of the line that passes through the points (-7, -5) and
(-7, -2)?
Answer:
y=3x-1
Step-by-step explanation:
you first find the gradient
(-7,-5). (-7,-2)
x¹ y¹ x² y²
gradient=y²-y¹
x²-x¹
-2+5
-7+7
3/1=3. gradient is 3
equation formula= y=mx+c
(among the two sets of value you were given use one eg I will use -7 and -2)
y-(-7)/x-(-2)=3
y+7/x+2=3
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
find an angle x where sin x = cos x (I know this has been answered but I rlly don't get it..)
Answer:
45 degrees
Step-by-step explanation:
sin x=cos(90-x)
sin(45)=cos(90-45)=cos(45)
Answer:
The answer is 45.
sin45=cos45= 1/√2.
hope it helps u ...
A bottler of drinking water fills plastic bottles with a mean volume of 1,007 milliliters (mL) and standard deviation The fill volumes are normally distributed. What proportion of bottles have volumes less than 1,007 mL?
Answer:
0.5 = 50% of bottles have volumes less than 1,007 mL
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 1007[/tex]
What proportion of bottles have volumes less than 1,007 mL?
This is the pvalue of Z when X = 1007. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1007 - 1007}{\sigma}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.5 = 50% of bottles have volumes less than 1,007 mL
A hotel with 95 room has 65 for doubles and 25 for singles. Singles can be booked in any room, but reservations for two or more people must be booked in double rooms. Let x be the number for single reservations and y the reservations for two or more. Which system of inequality represents this situation? Click the correct answer y is greater than or equal to 65 x+y less than or equal to 95 y is less than or equal to 65 x+y less than or equal to 95 x is greater than or equal to 25 x+y less than or equal to 95 x is less than or equal to 25 x+y less than or equal to 95
Answer: Y is less than or equal to 65 and X + y= less than or equal to 95
Find the value of x:
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
x4 + x ? 7 = 0, (1, 2)
f(x) = x4 + x ? 7
is (FILL IN)
a) defined
b) continuous
c) negative
d) positive on the closed interval [1, 2],
f(1) = ?? FILL IN , and f(2) = ?? FILL IN
Since ?5 < FILL IN a)? b)? c)? d)0 < 11, there is a number c in (1, 2) such that
f(c) = FILL IN a)? b)? c)0 d)11 e)-5
by the Intermediate Value Theorem. Thus, there is a FILL IN a) limit b)root c) discontinuity of the equation
x4 + x ? 7 = 0
in the interval (1, 2).
Answer:
The correct option is d
[tex]f(1) = -5[/tex]
[tex]f(2) = 11[/tex]
The correct option is d
The correct option is c
the correct option is b
Step-by-step explanation:
The given equation is
[tex]f(x) = x^4 + x -7 =0[/tex]
The give interval is [tex](1,2)[/tex]
Now differentiating the equation
[tex]f'(x) = 4x^3 +7 > 0[/tex]
Therefore the equation is positive at the given interval
Now at x= 1
[tex]f(1) = (1)^4 + 1 -7 =-5[/tex]
Now at x= 2
[tex]f(2) = (2)^4 + 2 -7 =11[/tex]
Now at the interval (1,2)
[tex]f(1) < 0 < f(2)[/tex]
i.e
[tex]-5 < 0 < 11[/tex]
this tell us that there is a value z within 1,2 and
f(z) = 0
Which implies that there is a root within (1,2) according to the intermediate value theorem