Answer:
16 people
Step-by-step explanation:
First subtract the cost of the rental from the amount of money:
$400-$150 = $250
Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:
$250/$15 = 16.67
Since you can't have 0.67 of a person she can have 16 people go with her.
This can also be modeled by this inequality:
[tex]150 + 15x \leqslant 400[/tex]
Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2
Answer:
2^5
Step-by-step explanation:
2^5 = 32
3^3=27
1^10 =1
5^2 = 25
Answer:
2^5
Step-by-step explanation:
Look at the attachment
Dungeon and Dragons (old popular boardgame) uses a twenty-sided number cube (die), what is the probability that you will roll an even or an odd prime number? The number 1 isn’t an odd prime. Round to three decimals.
Answer:
P(even or odd prime) = 0.85
There is 85% probability of rolling an even number or odd prime number.
Step-by-step explanation:
We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.
We are asked to find the probability of rolling an even number or odd prime number.
We know that probability is given by
P = Number of desired outcomes/Total number of outcomes
Let us first count the number of desired outcomes.
In the range of 1 to 20 we have following even numbers,
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 outcomes)
P(even) = 10/20
P(even) = 0.50
In the range of 1 to 20 we have following odd prime numbers,
3, 5, 7, 11, 13, 17, 19 (7 outcomes)
P(odd prime) = 7/20
P(odd prime) = 0.35
So the required probability is
P(even or odd prime) = 10/20 + 7/20
P(even or odd prime) = 0.50 + 0.35
P(even or odd prime) = 0.85
Therefore, there is 85% probability of rolling an even number or odd prime number.
Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.
OR corresponds to addition of probabilities
AND corresponds to multiplication of probabilities
Solve : 6(x-4) + 3(x+7)= 3
Answer:
X = 2
Step-by-step explanation:
6(x-4) + 3(x+7)= 3
Open parentheses
6x-24+3x+21=3
Simplify
3x-3=3
Add 3 onto both sides
3x=6
And...
X = 2express z = square root (4 + 3i) in the form p + qi , where p and q and are rational numbers.
Answer:
z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)
OR
z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)
p = (3/√2) = 2.1213
q = (1/√2) = 0.7071
OR
p = (-3/√2) = -2.1213
q = (1/√2) = 0.7071
Step-by-step explanation:
z = √(4 + 3i)
Let the complex number z be equal to
z = p + qi
So, we can write
z = p + qi = √(4 + 3i)
p + qi = √(4 + 3i)
Square both sides
(p + qi)² = [√(4 + 3i)]²
p² + pqi + pqi + (qi)² = (4 + 3i)
p² + 2pqi + q²i² = 4 + 3i
note that i² = -1
p² + 2pqi - q² = 4 + 3i
(p² - q²) + 2pqi = 4 + 3i
Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other
(p² - q²) = 4 (eqn 1)
2pq = 3 (eqn 2)
From eqn 2
p = (3/2q)
p² = (9/4q²)
Substituting this into eqn 1
(9/4q²) - q² = 4
multiplying through by 4q²
9 - 4q⁴ = 16q²
4q⁴ + 16q² - 9 = 0
let q² = x, q⁴ = x²
4x² + 16x - 9 = 0
Solving the quadratic equation
x = 0.5 or -4.5
q² = 4
q² = 0.5 or q² = -4.5
q = √0.5 or √-4.5
q = (1/√2) = (√2)/2 = 0.7071
Or q = i(3/√2) = i(3√2)/2 = 2.1213I
p = (3/2q)
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = p + qi
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
z = (3/√2) + (1/√2)î = (1/√2) [3 + i]
= 2.1213 + 0.7071i
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = i(1/√2) + [i(3/√2) × i]
z = i(1/√2) - (3/√2)
z = -(3/√2) + i(1/√2)
z = (1/√2) [-3 + i]
z = -2.1213 + 0.7071i
Hope this Helps!!!
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
3.5.49 X 0.67 *
Your answer
What is the answer
Answer:
2.37783 or 23.7783
Step-by-step explanation:
given the function defined below, what is the value of the 4th term?
f (1) = -4
f (n) = -3f (n-1) +5
f (4) =
Answer:
The 4 t h term is f(4) = 143
Step-by-step explanation:
Explanation:-
Given function f(1) = -4
Given 'nth' term is f(n) = -3f(n-1) +5
Put n =2 f(2) = -3 f(2-1) +5
= -3 f(1) +5
= -3 (-4) +5
= 12 +5
f(2) = 17
put n= 3
f(n) = -3f(n-1) +5
f(3) = -3 f(3-1) +5
= -3f(2) +5
= -3(17) +5
= -51+5
f(3) = -46
Put n=4
f(n) = -3f(n-1) +5
f(4) = -3f(4-1) +5
f(4) = -3f(3)+5
f(4) = -3(-46)+5
f(4) = 138 +5
f(4) = 143
Final answer:-
The 4 t h term is f(4) = 143
(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.
Find the given attachments
What does the x coordinate of a point tell you?
Answer:
X is for the height
Step-by-step explanation:
Arcodding to the coordinate table , this chart has x and y. We measure the y first then we measure the x.
the y coordinate show the length and the y measure the height
I hope it'll help you much
Thank you for asking
Which of the following is a ray as shown in the drawing?
Answer:
DH
Step-by-step explanation:
this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.
8.73E16 in standard form
Answer:
87,300,000,000,000,000
Step-by-step explanation:
The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.
8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000
= 87,300,000,000,000,000
_____
Some places, the "standard form" is 8.73×10¹⁶.
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
If AB = 10, what is the length of DE?
11
5
12
3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
27.5 pages read per hour
Step-by-step explanation:
what's the solution to the inequality 1 2/3 > r - 7/12
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesRewriting FractionsStep-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12Isolate r: 9/4 ≥ rRewrite: r ≤ 9/4Reduce: r ≤ 2 1/4Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.
-3b+7=13 solve for b
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
b = -2
Step-by-step explanation:
You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.
Hope this helps.
Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.
Answer:1017.36 cm^3
Step-by-step explanation:
Diameter=18cm
Radius=r=18/2=9cm
Height=h=12cm
Volume of cone=1/3 x π x r^2 x h
Volume of cone=1/3 x 3.14 x 9^2 x 12
Volume of cone=1/3 3.14 x 9 x 9 x 12
Volume =(1x3.14x9x9x12) ➗ 3
Volume =3052.08 ➗ 3
Volume =1017.36
Volume of cone=1017.36 cm^3
Can anyone help please? With questions 4 please
Answer:
a. The area of the garden is 11.68 [tex]m^{2}[/tex]
b. $192 and then $177
Step-by-step explanation:
a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37
then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle
so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]
b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)
16*$12=$192, then 5($33)+$12=$177
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
What’s the correct answer for this?
Answer:
The first option. ∠2 and ∠4 are vertical angles.
Step-by-step explanation:
The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.
Answer:
C
Step-by-step explanation:
Angle 1 is supplementary to both 2 and 4. It's correct
The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
What percentage of students who take honors English are taking a non-honors math class?
Answer:
B
Step-by-step explanation:
Took quiz GL
Answer:
the answer is not B
Step-by-step explanation:
the answer is A I actually took the quiz
50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.
Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.
Step-by-step explanation:
The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
Fifty volunteers were randomly placed into two groups. The first group was given a new hair growth treatment and the other group was given a placebo treatment. This is an example of
Answer:
Placebo controlled experiment.
Step-by-step explanation:
The placebo effect is when the effectiveness of a treatment is influenced by the patient’s perception of how effective they think the treatment will be, so a result might be seen even if the treatment is ineffectual. In order to reduce this effect, a dummy treatment (placebo) is given to a control group and the result is compared.
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
Answer:
its A
Step-by-step explanation:
ED 2020
What is the factor of k2 + k - 42
Answer:
(k + 7) • (k - 6)
Step-by-step explanation:
Final result :
(k + 7) • (k - 6)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "k2" was replaced by "k^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring k2+k-42
The first term is, k2 its coefficient is 1 .
The middle term is, +k its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
k2 - 6k + 7k - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (k-6)
Add up the last 2 terms, pulling out common factors :
7 • (k-6)
Step-5 : Add up the four terms of step 4 :
(k+7) • (k-6)
Which is the desired factorization
Final result :
(k + 7) • (k - 6)
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS
Answer:
Creating a diagram..
Step-by-step explanation:
Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)
a. 7 do not own anything.
b. the probability that someone owns a bone or a stick is 50%.
c. the probability that someone owns a rock and a bone is 14%.
d. the probability that someone owns at least 2 items is 42%.
e. the probability that someone owns only 1 of these items is 51%.
Please tell me if im wrong! im only a student .m.
