Answer:
Option D is correct
Step-by-step explanation:
The identity matrix is the matrix, in which, the diagonal elements are 1 and all of non-diagonal elements are 0.
Hope this helps!
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? What equation would you use to solve this problem?
Answer:
$2
Step-by-step explanation:
24-10=14
14/7=2
Answer:
Each pencil costed $2
Step-by-step explanation:
She bought 7 pencils at $2 7x2=14
24-14=10
Please please help!!!! According to the probability distribution below, what is the expected value of X? X 0 1 2 3 4 5 P(X) 0.3 0.2 0.16 0.2 0.04 0.1 A.) The expected value is 0.1 B.) The expected value is 5 C.) The expected value is 2.5 D.) The expected value is 1.78
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
The expected value of a probability distribution is evaluated using the formula.
Expected Value, [tex]E(X)=\sum^{n}_{i=1}x_iP(x_i)[/tex]
Therefore, from the given probability distribution, we have:
E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)
E(X)=1.78
The Expected value of X is 1.78.
The correct option is D.
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
i took the test
How many milliliters are 30 teaspoons? 1 tsp=5mL
Answer:
Step-by-step explanation:
1 ts = 5 ml
5*30 =150
30 ts=150 ml
(b^7/4^5)^-3 i need help its urgent
Answer:
(4^5/b^7)^3
(1024/b^7)^3
1024^3/b^21
PLEASE HELP ASAP!!
Write an expression using letters and/or numbers for the following problem.
Complete the following frame for 6x = 54:
The equation is true when x = _ because _.
Answer:
The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.
Step-by-step explanation:
Given: [tex]6x=24[/tex]
To find: x
Solution:
A equation is a statement that defines the equality of two expressions or numbers.
[tex]6x=24[/tex]
Divides both sides by 6
[tex]\frac{6x}{6}=\frac{24}{6}\\x=4[/tex]
Therefore,
The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.
Write an inequality that compares 3 and 5
Answer:
3 < 5
Step-by-step explanation:
3 < 5
We can write this inequality, because three is less than five, and < means less than.
An inequality is a mathematical sentence which
states that two expressions are not equal.
The "<" symbol means less than.
Since 3 is less than 5, we can write this as 3 < 5.
Take a look below I have attached the same problem
and an additional one to show you.
One half of the opposite of a number is five less than twenty.
Answer: -1/2x =20-5
Step-by-step explanation:
Hi, to answer this question we have to write an expression with the information given:
One half of the opposite of a number; a number is the variable (x), the opposite is -x, and one half of that number is equal to the number multiplied by 1/2. (-1/2x)
Is five less than twenty: the previous expression is equal to 20 minus 5:
Mathematically speaking:
-1/2x =20-5
Feel free to ask for more if needed or if you did not understand something.
Mark has 1/2 pound of chocolate chips to make chocolate chip cookies. He needs 1/6 pound chocolate chips for one batch of cookies. How many batches of cookies can he make?
Answer:
3 batches
Step-by-step explanation:
First simplify 1/2 into 3/6
which into 1/6 makes three which means Mark can make 3 batches of cookies.
(If Mark had a full pound he could make 6 batches of cookies)*
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Answer:
3 batches
Step-by-step explanation:
What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = -13
-3
-1
2
5
Answer:
So the answer is the third one,y=2
Answer:
3rd option: 2
Step-by-step explanation:
edgen2020
A cell phone plan costs $150 to start. Then there is a $25 charge each month.
a. What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
Answer:
$175
Step-by-step explanation:
Since it’s only one month you just add 150 by 25
Correct me if I am wrong
At the end of a snow storm, Mason saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour. Write an equation for the function S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling.
Answer:
S(t) = 10 - 0.5t
Step-by-step explanation:
initial depth of snow = 10 inches
melting rate = 0.5 inches per hour
it means that, in one hour snow depth will decrease by 0.5 inches
thus , in t hours snow depth will decrease by 0.5*t = 0.5t inches
Thus, depth of snow after t hours can be calculated by
we will take initial depth of snow and them subtract the depth of snow which melted in t hours.
we are subtracting as snow is melting and will thus decrease the depth of snow
depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours
depth of snow after t hours can = 10 inches - 0.5t inches
= (10 - 0.5t )inches
Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t
Find the value of the expression 4a^4 − 2b^2 + 40 when a = 2 and b = 7
Answer:6
Step-by-step explanation:
4(2)^4 − 2(7)^2 + 40
4(16)-2(7)^2+40
64-2(49)+40
64-98+40
-34+40
6
Answer:
6
Step-by-step explanation:
4a^4 - 2b^2 + 40
Put a = 2 and b = 7
4(2)^4 - 2(7)^2 + 40
Solve the powers first.
4(16) - 2(49) + 40
Multiply.
64 - 98 + 40
Add and subtract.
= 6
Which points are coplanar and collinear
Answer:
Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.
Step-by-step explanation:
hope this helps you :)
LAST ONE
Find the range of the data.
16, 55, 61, 92, 31
range =
Answer:
76
Step-by-step explanation:
arrange the data set from least to greatest:
16, 31, 55, 61, 92
Range = Highest value - Lowest value = answer
Range = 92 - 16 = 76
6. Name a fraction larger than 1/2 and
smaller than 5/8
Answer:
3/5 works
Step-by-step explanation:
its in between 1/2 and 5/8
Answer:
it's 9/16 it is in between 1/2 and 3/4
7. Simplify the following equation:
9x-7i > 3 (3x-7u)
Answer:
i<3u
Step-by-step explanation:
Let's solve for i.
9x−7i>3(3x−7u)
Step 1: Add -9x to both sides.
−7i+9x+−9x>−21u+9x+−9x
−7i>−21u
Step 2: Divide both sides by -7.
−7i
−7
>
−21u
−7
i<3u
Hope this helps.
Answer: i < 3u
We first distribute 3.
9x-7i > 3 (3x-7u)
9x-7i > 9x - 21u
Subtract 9x from both sides.
-7i > -21u.
Divide both sides by -7. Since -7 is negative so the inequality sign will change.
i < 3u.
Learn more: https://brainly.com/question/20521181
Choose the inequality that represents the following graph.
Answer:
A i think
Step-by-step explanation:
Answer:
B... -8<x
Step-by-step explanation:
When looking at the graph, we can see the arrow goes to the right, which means it will be that x is greater than whatever number. The open circle is on -8, so we know x is bigger than -8! Hope this helps
GET EASY POINTS AND BRAINLIEST IF YOU ANSWER!!!!!!!!!!! 1)There were 50 people in the Cross Country race: 10% wore red socks 16% wore blue socks 40% wore white socks How many people wore red, blue, and white socks? 2) Six shoes were in a basket: 2 running shoes, 3 fancy shoes, and 1 pair of flip flops. How many different outcomes are there if you randomly choose 2 shoes? How many of those outcomes will include at least 1 fancy shoe? How many of those outcomes include choosing both pairs of running shoes? How many outcomes include the pair of flip flops?
Answer:
1. 5 wore red, 8 wore blue, and 20 wore white.
2. I'm not sure how this question is meant to be looked at. Are the running shoes and fancy shoes in pairs?
Step-by-step explanation:
For the first question, you simply convert the fractions to decimals, then multiply those decimals by 50 (the amount of people). To do this, just move the decimal place back two. EX: 10% -> 0.10.
please help with slope question fast
Answer:
C
Step-by-step explanation:
this is because perpendicular lines have the opposite reciprocal slopes. So, 3/2 is the opposite reciprocal of -2/3 since it is negative and that is the opposite sign. Then, it is the reciprocal of the fraction since the numerator and the denominator are switched. If you check the other answer options, you will see that none of the slopes are the exact opposite reciprocal.
If you were to roll the dice one time what is the probability it will NOT land on a 2? Put your answer in fraction form.
Answer:
5/6
Step-by-step explanation:
On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).
Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.
I hope this helps.
The probability that it will not land on a 2 is 5/6
Probability is the likelihood or chance that an event will occur.
It will land on 2, Prob (land on 2) = 1/6
It will not land on 2, the probability will be given as:
Prob (not land on a 2) = 1 - 1/6
Prob (not land on a 2) = 5/6
Hence the probability that it will not land on a 2 is 5/6
Learn more on Probability here: https://brainly.com/question/25870256
What is the solution to this equation?
X- 16 = 9
O A. x=-7
O B. x = 7
O C. x = -25
O D. x= 25
Answer:
d) x=25
Step-by-step explanation:
x-16=9
add 16 to both sides canceling out -16 and adding 9 and 16, making it positive 25
after moving 16 to the other side of the =, and adding it to 9 it should look like:
x=25
therefore making the answer x=25
Please answer correctly !!!!! Will mark brianliest !!! And click on the photo to answer the question !!!
Answer:
36
Step-by-step explanation:
Let Brandon's age be b. We can write 4b = b + 27 which gives us b = 9. Because Michael is 4 times as old as Brandon, he is 9 * 4 = 36 years old.
Answer:
36
Step-by-step explanation:
Micheal is 4 times as old as Brandon.
y = 4x
Micheal is also 27 years older than Brandon.
y = x +27
Y represents Micheal's age, and x represents Brandon's age.
Since both equations above are equal to the same value, y, you can set the two equations equal to each other. Solve for x.
4x = x + 27
3x = 27
x = 9
Brandon is 9 years old.
Plug Brandon's age into one of the equation to solve for Micheal's age.
y = x + 27
y = 9 + 27
y = 36
Micheal is 36 years old.
Can someone answer this please.
Answer:
This is the answer I am writing the answer rn
Step-by-step explanation:
Find the slope of the line containing the given points
Answer:
-9/8
Step-by-step explanation:
The two points given are
(1,6) and (9,-3)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-3-6)/(9-1)
= -9/8
Jose is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4 people. Jose reserved twice as many small rooms as large rooms, which altogether can accommodate 70 guests. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.
Answer:
No. of large rooms = 7
No. of small rooms = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
Step-by-step explanation:
capacity of large rooms = 4 people
let the no. of large rooms be x
thus, total no of people which can be accommodated in x rooms = 4*x = 4x
capacity of small rooms = 3 people
let the no. of small rooms be y
thus, total no of people which can be accommodated in y rooms = 3*y = 3y
total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y
It is given that total small room and large room can accommodate 70 guests
thus,
4x + 3y = 70 _________equation 1
_________________
It is also given that Jose reserved twice as many small rooms as large rooms,
so, if no. of large rooms is x and no. of small rooms is y
then
y = 2x _________equation 2
substituting value of y in equation 1 we have
4x + 3(2x) = 70
=>4x + 6x = 70
=> 10x = 70
=> x = 70/10 = 7
No. of large rooms = 7
No. of small rooms = y= 2x = 2*7 = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
The number of the small rooms is 14.
The number of large rooms is 7.
Assuming that the number of the large rooms is x,
So, the number of small rooms is 2x
According to the question:
[tex]3[/tex] × [tex]2x[/tex] [tex]+ 4[/tex] × [tex]x = 70[/tex]
[tex]6x+4x=70\\10x=70\\x=7[/tex]
So, 2x = 2(7) = 14
Therefore, the number of the small rooms is 14 and the number of large rooms is 7.
For more information:
https://brainly.com/question/22971109
3p + q = 8 and
3p - q = 10
then p+q is?
Answer:
2
Step-by-step explanation:
3p + q = 8 and
3p - q = 10
then p+q is?
--------
add up side-by-side:
6p=18 ⇒ p=3
q=8-3p= 8 - 9= -1
p+q= 3-1=2
Answer:
2
Step-by-step explanation:
3p + q = 8
3p - q = 10
→ Minus the two equations away from each other which would cancel out 3p
2q = -2
→ Divide both sides by 2 to isolate q
q = -1
→ Substitute q = -1 back into 3p + q = 8
3p - 1 = 8
→ Add 1 to both sides to isolate p
3p = 9
→ Divide both sides by 3 to isolate p
p = 3
⇒ The question asks us to find p + q so,
3 + - 1
→ Remember the minus cancels out the plus
3 - 1 = 2
Find the volume of a triangular prism that has a triangular base of4 and height of3 with a prism height of 11
Answer:
66 cubic units
Step-by-step explanation:
For a prism, the volume is the area of the base multiplied by the height.
area of base = area of triangle = (1/2) * base * height (of the base)
volume = area of base * height of prism
volume = (1/2) * 4 * 3 * 11
volume = 66
Answer:
66 cubic units
Step-by-step explanation:
Helppp meeee plssssssss
Answer: C
Step-by-step explanation:
in the problem, you know that the answer will be negative. -(-8/-4) gives you -2. There is no answer choice that is -2. Therefore, none of the above is your answer.
Find the volume of a sphere with a surface area of 2916 squared pi
Answer:
it would be somewhere around 29161231
Step-by-step explanation:
it is m8
Solve each equation (steps as to how appreciated)
Answer:
{10, -8} (A)
Step-by-step explanation:
Since it is absolute value, n-1 can equal both 9 or -9.
First you solve for n-1=9. That would make n=10
Then you solve for n-1= -9 .That would make n=-8
Answer:
A) {10, -8}
Step-by-step explanation:
Since it is absolute value, you must split it into two equations:
n-1=9
n-1=-9
Now solve for n in both equations
n=10
n=-8
Therefore, the answer is A