Answer: 31 students
Step-by-step explanation:
Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.
Hope it helps <3
(x+1)(x-2)=0
Solve the quadratic equation using factoring
Answer:
x= -1 or x= 2
Step-by-step explanation:
(x+1)(x-2) = 0x+1 = 0 or x-2=0 x = -1 or x = 2Help me with these 2 questions please
Answer:
1st one= B 25 cents
2nd one= D 2 miles
Step-by-step explanation:
1.
8x3=24
6/24=25
= 25 cents
2.
1.6 km= 1 mile
so 1/2 of a mile =
0.8 km
1/4 of an hour = 15 minutes
0.8km= 15 minutes
15x3= 45 minutes
0.8km x 3= 2.4km
2.4km = 2 miles
hope it helps hunney xx
(4x + 7)ºX[5(x – 4)]°
What is the Value of X?
Answer:
x = 27°Step-by-step explanation:
From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite
Since vertically opposite angles are equal we can equate them to find x
That's
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20
Group like terms
5x - 4x = 20 + 7
x = 27°Hope this helps you
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there? Make a list of all the possible combinations using the numbers 1 - 5 to represent the photos. (I NEED FULL EXPLAINATION)
Answer:
10
Step-by-step explanation:
nCr = 5!/(3! × (5 - 3)!)
= 10
123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345
The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.
Answer: get 2 more frames
Step-by-step explanation:
An arithmetic sequence grows
A. at a constant percentage rate
B. linearly
C. quadratically
D. exponentially
At the toy store, you could get 4 board games for $25.84. Online, the price for 5 board games is $32.15. Which place has the highest price for a board game?
Answer:
The board game store
Step-by-step explanation:
Just divide the store price by 4 and online by 5
Answer:
Toy store
Step-by-step explanation:
Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.
price/board games
Toy Store
price/board games
The toy store sells 4 board games for $25.84
$25.84 / 4 board games
25.84/5
6.46
Online Store
price/ board games
The online store sells 5 board games for $32.15
$32.15 / 5 board games
32.15/5
6.43
At the toy store, a board game costs $6.46. Online, it costs $6.43.
6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.
A company is designing boxes to ship their product to stores. The design team decides that the width of the box should be five feet shorter than the length, and the height of the box should be three feet longer than the width. Due to shipping constraints, the length of the box can be no greater than six feet. The volume of the box, V(x), can be modeled by a polynomial function, where x is the length of the box. Which of the following correctly models the situation above and gives the correct domain?
Answer:
see below
Step-by-step explanation:
You can work this based only on the domain. You don't need to figure the volume, though you can if you want to check the answer further.
x represents the length of the box, which has a restriction that it can be no greater than 6 ft. This tells you x ≤ 6. However, the width is 5 ft shorter than the width, so its value is x-5. But we know the width must be greater than zero:
0 < x -5
5 < x
So, the constraints on the domain of x are ...
5 < x ≤ 6 . . . . . . only matches the last choice, (5, 6]
___
Checking the volume
The height is 3 more than the width, so the volume is ...
V = LWH = (x)(x -5)(x -5 +3) = x(x -5)(x -2) = x(x^2 -7x +10)
V = x^3 -7x^2 +10x
WILL GIVE BRIANLIEST Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees. In the diagram of circle O, what is the measure of ? 34° 45° 68° 73°
Answer: 34°
Step-by-step explanation:
The Arc formed by segment AC:
Total measure of an arc = 360°
Measure of Major arc AC = (360° - measure of minor arc)
Minor arc = 146°
THEREFORE,
Major arc AC = (360° - 146°) = 214°
A° = B° = (214° - 146°) / 2 ( tangent - tangent theorem)
Angle formed by tangent AB and BC = difference between major and minor arcs divided by 2 : (Major arc - minor arc) / 2
(214 - 146)° / 2 = 68° / 2 = 34°
The measure of ∠ABC as shown in the circle is 34°.
CircleA circle is the locus of a point such that all the points are equidistant from a fixed point known as the center.
∠OCB and ∠OAB = 90° (angle between a tangent and radius)
∠OCB + ∠OAB + ∠COA + ∠CBA = 360° (angles in a quadrilateral)
90 + 90 + 146 + ∠CBA = 360
∠CBA = 34°
The measure of ∠ABC as shown in the circle is 34°.
Find out more on Circle at: https://brainly.com/question/22965557
Help!! Gotta finish 2 units in 4 days!!
Answer:
[tex]\large \boxed{\sf \ \ g(x)=3|x| \ \ }[/tex]
Step-by-step explanation:
Hello,
Let's follow the instructions !
Step 1
g(x)=k*f(x)=k*|x|
We know that the point (2,6) is on the graph so 6=g(2) meaning:
6=k*|2|=k*2
*** divide by 2 both sides ***
k = 6/2 = 3
Step 2
g(x)=3*|x|
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Find the angle of rotation about the center of the regular pentagon that maps A to D.
Answer:
216
Step-by-step explanation:
Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.
Answer:
216
Step-by-step explanation:
Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer: probability of getting two 5s =0.04
probability of getting at least one 5 =0.36
probability of getting a total score greater than 5 =0.6
Step-by-step explanation:
Total outcomes on 1 spinner = 5
Then , total outcomes of spinning it 2 times= [tex]5\times5 = 25[/tex]
Number of outcomes for getting two 5's = 1
Then, the probability of getting two 5s [tex]=\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{1}{25}=0.04[/tex]
Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9
Then, the probability of getting at least one 5[tex]=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{9}{25}=0.36[/tex]
Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4
Then, the probability of getting a total score of 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{4}{25}[/tex]
Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15
Then, the probability of getting a total score greater than 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{15}{25}=\dfrac{3}{5}=0.6[/tex]
Which of the following statements is true about the relation represented in the table? The data in the table is linear. The data in the table is nonlinear.
Answer:
Sacramento
Step-by-step explanation:
S 11+9+14+12+8=54
SF 11+8+8+9+12=48
The statement that is true about the information in the table is that the data is non-linear.
Which statement is true about the given table?
The easier way to study the table is by graphing it. Here we have the points:
(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).
The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.
So the correct option is non-linear.
If you want to learn more about tables, you can read:
https://brainly.com/question/7301139
The graph of g(x) is a transformation of the graph of f(x)=4x.
42
Step-by-step explan
i cant see the answers does anyone else have this problem
Answer:
yeah....same!
Step-by-step explanation:
I'm having the same problem I thought it was just me
Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:
[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to
[tex]-11=a(2)^2-3[/tex] and a bit more to
[tex]-11=4a-3[/tex]. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
[tex]y=-2(x-2)^2-3[/tex]
Explain why a drop in temperature would lead to adding a negative integer.
Step-by-step explanation:
a drop in temperature means the temperature will decrease.
That decrease is represented with a negative integer which should be added to the previous temperature.
please helppppppp !!!
Answer:
64
Step-by-step explanation:
Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.
Can anyone help me plz? ∆ADB ≅ ∆CDB by the _____
Answer:
Step-by-step explanation:
it is ASA
by definition if two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA)
AB is tangent to circle D. Find the value of x.
Answer:
c 15
Step-by-step explanation:
Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.
We can use the Pythagoren theorem.
a^2 + b^2 = c^2
x^2 + 20^2 = (x + 10)^2
x^2 + 400 = (x + 10)(x + 10)
x^2 + 400 = x^2 + 10x + 10x + 100
400 = 20x + 100
20x = 300
x = 15
using the order of operations, which operation should be performed first? 3(7+2²) - 5 A:7+ 2 B: 2² C: 3 x 7 and 3 x 2 D: 11 - 5
Answer:
B: 2²
Step-by-step explanation:
3(7+2²) - 5
PEMDAS says parentheses first
Then we do the order of operations inside the parentheses
Exponents are the first thing inside the parentheses
Can somebody please answer as many as possible?
Please and thankyou!
A quadrilateral is 360 degrees
I cant make a shape for any! Please help!
Answer:
Simply subtract the sum of the the three angles given from 360° in order to get the measure of the fourth angle!
Step-by-step explanation:
Please answer correct answer now fast
Answer:
Approximately 13.9 units.
Step-by-step explanation:
First, note that ΔTVW is a right triangle.
Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.
Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:
[tex]\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9[/tex]
Please answer it now in two minutes
Answer:
Remember to round!
A particular zebra is the 10th fastest animal in its herd and also
the 10th slowest animal in its hard. If every zebra in the herd is
of a different speed, then how many zebra are there in the herd?
Answer:
19
Step-by-step explanation:
The zebra is the 10th fastest, so there are 9 zebras that are faster.
It's also the 10th slowest, so there are 9 zebras that are slower.
The total number of zebras is therefore 9 + 1 + 9 = 19.
Find the missing side. Round your answer to the nearest tenth.
Answer:
76.9
Step-by-step explanation:
tan(α) = opposite leg/adjacent leg
tan(70°) = x/28
x = 28* tan(70°) = 76.9
Answer:
76.9 or 77
Step-by-step explanation:
tan(α) = opposite leg/adjacent leg
tan(70°) = x/28
x = 28* tan(70°) = 76.9
Choose the best estimate for the multiplication problem below.
82.17
7.32
X
A. 560
B. 860
C. 420
Hey there!
We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.
80 times 7 is just doing 8 times 7 but putting a zero on the end!
So, 80 times 7 is 560, so our best estimate is A.560
Have a wonderful day!
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer. Sample Adventure Beach Cruise Ski A 6 5 70 19 B 1 6 72 21 Which of the following inferences can be made based on the data? -Most members per for a beach vacation -most members prefer an adventure vacation -more members prefer an adventure vacation and a ski vacation than a cruise vacation -more people prefer a beach vacation and a ski vacation then an adventure vacation
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
From the data in the sample;
Table of values, Sample
Vacation, A B
Adventure, 6 1
Beach, 5 6
Cruise, 70 72
Ski, 19 21
Total, 100 100
Therefore, we have that each member made or selected only on vaction option which gives;
The number of members that prefer a beach vacation and a ski vacation are;
Sample A = 5 + 19 = 24 members
Sample B = 6 + 21 = 27 members
The number of members that prefer an adventure vacation are;
Sample A = 6 members
Sample B = 1 members
Which shows that more people prefer a beach vacation and a ski vacation than an adventure vacation.
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
I just did the quiz .
If a company buys coffee at a price of $5/kg and then sells it their stores for $18/kg, what is the percentage profit compared to the original cost of the coffee?
Answer:
260%
Step-by-step explanation:
For the coffee;
cost price ([tex]C_{P}[/tex]) = $5/kg
selling price ([tex]S_{P}[/tex]) = $18/kg
Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %
Substitute the right values into the above;
%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %
%P = [tex]\frac{13}{5} * 100%[/tex] %
%P = 260%
Therefore, the percentage profit compared to the original cost of the coffee is 260%
In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?
Answer:
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
Step-by-step explanation:
Sample Mean = μ1 = $806
Sample Mean = μ2 = $ 781
Standard Deviation= S= σ =39.13
n= 32
Confidence Interval = 95 %
α= 0.05
z∝=± 1.96
We state the null and alternative hypotheses as
H0: μ1 = $806 and Ha: μ1 ≠ $806 two sided tail test
z= μ1 -μ2/σ/√n
z= 806-781/ 39.13/√32
z= 806-781/ 39.13/5.6568
z=806-781/ 6.92
z= 25/6.92
z= 3.613
Z> z∝
3.613 > ± 1.96
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance