Answer:
Option (4)
Step-by-step explanation:
Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.
On the number line, there are 3 small segments between each number.
Every small segment will represent time = [tex]\frac{1}{3}[/tex] hours
Total number of small segments = 15
If Jordan takes 3 equal durations for the study of each test,
Total number of small segments for each test = [tex]\frac{15}{3}=5[/tex]
Now we can plot these points on the number line.
Further count the segments for the answer ( 1 hour plus 2 small segments)
= 1 + [tex]2\times \frac{1}{3}[/tex]
= [tex]1\frac{2}{3}[/tex]
Therefore, time given for studying each test = [tex]1\frac{2}{3}[/tex] hours
Option (4) will be the answer.
ZA and ZB are vertical angles. If mZA= (5x – 4) and mZB = (2x – 1)º, then find the value of x. INI
Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.
Given:
The compound inequality is
[tex]9<3x+6\leq 15[/tex]
To find:
The solution for the given compound inequality in interval notation.
Solution:
We have,
[tex]9<3x+6\leq 15[/tex]
Subtracting 6 from each side, we get
[tex]9-6<3x+6-6\leq 15-6[/tex]
[tex]3<3x\leq 9[/tex]
Divide each side by 3.
[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]
[tex]1<x\leq 3[/tex]
Here, 1 is not included in the solution set and 3 is included in the solution set.
Therefore, the solution in interval notation is (1,3].
Sarah made 5 gallons of punch for her family reunions if each serving is 1/16 gallon how many servings is this?
A. 75
B. 50
C. 80
D. 3 1/5
Answer:
С) 80
вот правильный ответ
SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?
Answer:
where's the line? Can't answer it without it.
Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture
Answer:
8 pieces
Step-by-step explanation:
4/6 x 2 = 8/12
If Zachary wanted to eat the same amount. He would eat 8 pieces.
Zachary will have to eat 8 peices of pizza
Step-by-step explanation:
If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4
Factor completely and then place the factors in the proper location on the grid.
36 x2 + 60 x + 25
Answer:
[tex](6x+5)^{2}[/tex]
Step-by-step explanation:
[tex]36x^{2}+60x+25[/tex]
Just looking at the equation, one can see that the first element ([tex]36x^{2}[/tex]) and the last element ([tex]25[/tex]) are both perfect squares. One can see that when one multiplies the number and then doubles the result, the resulting values will be the value in the middle. Therefore, it is clear that is the answer is;
[tex](6x+5)^2[/tex]
line a y=1/2x+2
line b y= -1/2 x +7
line c y=2x +4
line d y= 1/2x +5/4
which lines are perpendicular
Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, and -1/2 and 2 are opposite reciprocals.
You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of $1,249 with a very narrow standard deviation of $25. You find a website that has a price comparison for the same computer at a series of stores as follows:
$1,298; $1,229.96; $1,193.07; $1,279; $1,224.98; $1,229.97; $1,269.98; $1,248.
Can you argue that pricing has a larger standard deviation than claimed by the manufacturer?
Answer:
We fail to reject the null
Step-by-step explanation:
Given the data: 1298; 1229.96; 1193.07; 1279; 1224.98; 1229.97; 1269.98; 1248
Mean price, μ = 1249
Standard deviation, σ = 25
Variance, σ² =
Null hypothesis, H0 : σ² = 25²
Alternative hypothesis, H1 : σ² > 25
Using calculator, the sample standard deviation :
Sample standard deviation = s = 34.072
Sample size, n = 8
For chi² distribution :
X² = [(n - 1)s²] ÷ σ²
X² = [(8 - 1)*34.072^2] ÷ 25^2
X² = (7 * 1160.901184) / 625
X² = 13.002093
Using the Pvalue from Chisquare calculator, df = 8 - 1 = 7; α = 0.05
Pvalue =0.07206
0.07206 > 0.05
Since , Pvalue > α
We fail to reject the null; there is insufficient evidence to conclude that standard devuatue do selling a computer is greater than 25
What integer does the arrow indicate?
+
-8
+ +
-6 -5
+
3
+
4
+
7
- 10 -9
-7
-4
-3
-2
-1
0
1
2
5
6
8
9
10
0-14
0-3
06
Answer:
-9
Step-by-step explanation:
Given
See attachment for number line
Required
What does the arrow integer
Represent the value of the arrow with x.
The arrow is on number -9.
This number is what the arrow represents.
Hence:
[tex]x = -9[/tex]
Given that, 1 Chinese yuan = £0.11, convert £460 into Chinese yuan. Give your answer to the nearest yuan.
will mark you as brainiest
Answer:
i so want to know this aswell
Step-by-step explanation:
Answer:
4182
Step-by-step explanation:
I gotten this question so I decided to find the answer but I still got it wrong and it said the answer was 4182
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Answer:
x=-4/11; y=-19/11
Step-by-step explanation:
Answer:
x = 4/11 ; y = 19/ 11
sorry i cant give you the explanation
i hope this will help u
pls add me as bainliest
Step-by-step explanation:
Alcohol is a major contributor to high percentages of academic problems and college dropouts. Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. True False Not Sure Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. How confident are you of your response
Answer:
True
Step-by-step explanation:
This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.
In a sports meet, Sonam’s team completes the run at 40 seconds during heat events. On championship day, his team completes the same run at 45 seconds. What is the percentage difference in the completion time from the best completion time?
A. 10.5%
B. 12.5 %
C. 15.5 %
D. 20.5 %
Answer:
20.5
Step-by-step explanation:
value of b in the quadratic equation 3x/4=1/x
What dose that sing mean before the square root mean and also what is the answer
The thing before the square root means that the answer can be positive and negative.
what is 3x4x19x39x4x9x11x10x20squared-10473408000 tee-hee
Answer:
A seizure and a half
Step-by-step explanation:
Answer:
495962981439552000
A coordinate plane.Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.Let x be the smaller number and y be the larger number.Create a system and graph it to find the solution.What are the two numbers?x =and y =
Answer:
6 and 20
Step-by-step explanation:
What is the value of (.5)^4
Answer:
0.0625 should be the answer of .5 to the fourth power.
How do you use Trigonometric Ratios to solve Real-world problems?
Answer:
Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.
Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?
Answer: 6/8
Step-by-step explanation: this is the answer
A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the event that the sum of the numbers falling uppermost is 5. Determine whether Eand Fare independent events.Show your calculationsby describing the sample space, theeventsE and F, and combinations of these events as needed.
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]
Next, we list out the sample space of F
[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]
[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
In (1): the sample space of E is:
[tex]E = \{1\}[/tex]
So:
[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]
[tex]P(E) = \frac{1}{6}[/tex]
In (2): the sample space of F is:
[tex]F = \{5,5,5,5\}[/tex]
So:
[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]
[tex]P(F) =\frac{4}{36}[/tex]
[tex]P(F) =\frac{1}{9}[/tex]
For E and F to be independent:
[tex]P(E\ and\ F) = P(E) * P(F)[/tex]
Substitute values for P(E) and P(F)
This gives:
[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]
[tex]P(E\ and\ F) = \frac{1}{54}[/tex]
However, the actual value of P(E and F) is 0.
This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:
So:
[tex]P(E\ and\ F) = 0[/tex]
Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].
These values are not equal.
Hence: the two events are not independent
I need help due in 10 minutes ah!
Answer:
30
Step-by-step explanation:
If CUB is 78 and that’s the full angle just to 48 minus 78 and you get your answer.
Solve the given equation for x.
6 + x = C
Answer:
x=c-6
Step-by-step explanation:
6+x=c
-6 -6
x=c-6
(45 + 33) +7 = 45 + (33 + 7)
What property is that
Answer:
Associative
Step-by-step explanation:
Pls help I’ll brainlest and add extra points for the right answer
Answer:
First blank: Divide
Second blank: Multiply
Third blank: 25
Step-by-step explanation:
For the first part, you would divide to get X as itself
For the second part, you would multiple to cancel out the fraction and be left with whole numbers, which is much easier to work with
1.3 x 25 = 32.5, so that would be that answer
A computer is on sale for 25% off. If the sale price is $449, what was the original price?
Answer:
discount=25%
selling price=$449
original price=?
Step-by-step explanation:
we have
original price=selling price + discount% of original price
original price-discount% of original price=$449
original price (1-25/100)=$449
original price=$449/0.75=$598.66
Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential growth model). Let s be the salary in millions of dollars, and t is time in years. (a) Write an initial value problem to represent the salary s. Label 0.2.14 (modified) (b) What is s(0) and s(1)
Answer:
a)
initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]
b)
S(0) = 1
Therefore; S(0) is 1 million dollar
S(1) = 1.105170918075647
Therefore; S(1) is 1.105170918075647 million dollar
Step-by-step explanation:
Given that;
Initial salary of football coach = 1 million dollar
raise of 10% every year (so exponential growth model) r = 10% = 0.10
a) initial value problem to represent the salary
lets S represent salary in millions dollars and t represent time in years.
S(t) = S₀[tex]e^{rt}[/tex]
so,
at S₀ = 1 million dollars } { r = 0.10 }
S(t) = 1.[tex]e^{0.10t}[/tex]
Therefore, initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]
b) What is s(0) and s(1)
at s(0)
S(t) = 1.[tex]e^{0.10t}[/tex]
we substitute
S(0) = 1.[tex]e^{0.10*0}[/tex]
S(0) = 1.[tex]e^{0}[/tex]
S(0) = 1
Therefore; S(0) is 1 million dollar
at s(1)
S(t) = 1.[tex]e^{0.10t}[/tex]
we substitute
S(1) = 1.[tex]e^{0.10*1}[/tex]
S(1) = 1.[tex]e^{0.10}[/tex]
S(1) = [tex]e^{0.10}[/tex]
S(1) = 1.105170918075647
Therefore; S(1) is 1.105170918075647 million dollar
Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.
Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
plzzzzz help me brainlest
16% of $72=
I need help so if you know help
Answer:
Step-by-step explanation:
$72 is 100% and
$? is 16%
? = 16*72/100 = 11.52