Answer:
6.6
Step-by-step explanation:
Example 3
he two In a class of 60 students, 46 passed Biology
and 42 passed Chemistry. Every student
ariable passed at least one of the two subjects. How
many students passed in both subjects?
Solution
Let U = students in the class
cps
Answer:
28 students passed in both subjects.
Step-by-step explanation:
We solve this question treating each event as a Venn set.
I am going to say that:
Event A: Passed Biology.
Event B: Passed Chemistry.
46 passed Biology
This means that [tex]A = 46[/tex]
42 passed Chemistry.
This means that [tex]B = 42[/tex]
Every student passed at least one of the two subjects.
This means that [tex]A \cup B = 60[/tex]
How many students passed in both subjects?
This is:
[tex]A \cap B = A + B - A \cup B[/tex]
From the values we have above
[tex]A \cap B = 46 + 42 - 60 = 28[/tex]
28 students passed in both subjects.
Solve the inequality.
-6n > 54
Answer:
n < 9
Step-by-step explanation:
Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.
[tex]-6 n > 54[/tex]
[tex]/ (-6)[/tex]
[tex]n < 9[/tex]
What is the measure of Angle
Step-by-step explanation:
ΔM + 63° = 180° ------ ( angle sum property )
ΔM = 180° - 63°
ΔM = 117°
------------------------------FOLLOW MEA boat travels 176 miles in 13
hours (with a constant speed).
How far can it travel in 22 hours
(with the same speed)?
Answer:
297.84 miles
Step-by-step explanation:
176 miles in 13 hours is 13.5 miles per hour
13.5 * 22 = 297.84
Please anyone help me with these to questions please
Step-by-step explanation:
Given
1/5 + 3/4
= ( 4 + 15) / 20
= 19/20
Next question
2/3 + 1/8
= ( 16 + 3) / 24
= 19 / 24
Hope it will help :)❤
Giving 13 points!! Help help help
Answer:
a. 15
b. 27
c. 4
d. 72
e. 2
Step-by-step explanation:
If you need an explanation lmk! happy to help.
Answer the 2 questions.
Answer:
Step-by-step explanation:
1. 80+8x≥176 because 80 times however many days worked plus 8 times however many video games sold on Thursday
and
2. 7x + 13y ≤ 81 I'm not sure how to explain why on this one.
CREDITS GO TO THE OTHERS WHO MADE THESE ANSWERS, I JUST FOUND THEM SO I COULD HELP THIS PERSON!
6TH grade math please help AP EX
Answer:
I think the 1st one would be 10...
Step-by-step explanation:
Because 12-2=10 and 18-8=10.
If I'm wrong, im super sorry
PART B—- Find the surface area of the figure. PLEASE HELP!!
Just part b!
Answer:
24 ft^2
Step-by-step explanation:
Surface area is the total area on the surface of the figure.
One side of the cube is 4 ft^2 (2ft*2ft)
there are 6 sides.
4ft^2 * 6 sides is 24 ft^2
It says if (3,-4) is a point in the terminal side of the angle 0 which one of the following statements is not true
A sin 0= -4/5
B cos 0=3/5
C tan 0=-4/3
D sec 0=5/-4
Evaluate 2a-b for a=2 and b=3.
Answer:
1
Step-by-step explanation:
What is the equation for this line, in Slope Intercept Form (6,1) and (2,-1)
Answer:
y=1/2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(2-6)
m=-2/-4
m=1/2
y-y1=m(x-x1)
y-1=1/2(x-6)
y=1/2x-6/2+1
y=1/2x-3+1
y=1/2x-2
What is the product of 2 and 2 square foot 80
Answer:
35.7 I believe
Step-by-step explanation:
HELP ITS OVERDUEEE PLEASE PLEASE PLEASE ILL LOVE YOU FOREVER. Suppose that a movie is being filmed. An action shot requires an object to be thrown upward with an initial velocity of 48 feet per second off the top of the plaza, a height of 640 feet. The height h(t) in feet of the object after t seconds is given by the function h(t) = – 16t2 + 48t + 640. Determine how long before the object strikes the ground. (Hint: Let the height,
h(t), be 0 and solve for t.)
Answer:
the height of the object is and the height at 6 seconds is .
b. the height of the object increases and then decreases.
c. -16(t - 9) (t +4)
i really really really hope this helps
Please help! The question is above^
(Ignore the one already selected, it may not even be the right one)
do your thing lilly, your awesome!
Answer:
8. 12.8
9. 400
Step-by-step explanation:
8. look at it like a square with a rectangle cut out of it, 4*4 = 16, the rectangle needs a base and to find that base 1.5+0.9 = 2.4, 4-2.4 = 1.6, 1.6*2 = 3.2, 16-3.2 = 12.8
9. look at it like a trapezoid with a triangle cut out of it, add the to bases 14+32 = 46, 46*20 = 920 divided by 2 which is 460, and then area subtract the triangle 12*10 = 120 divided by 2 which is 60, so 460-60 = 400
5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm
Answer:
The answer is D.
Step:
6*5*12=360
The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?
Answer:
4
Step-by-step explanation:
The general equation circle is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Where r is the radius
Plug in the equation
[tex] {x}^{2} + {y}^{2} = 16[/tex]
Take the sqr root of 16 tocfind the radius
[tex] \sqrt{16} = 4[/tex]
just the answer and I'll give the best rating.
Answer:
89 i dont know
Step-by-step explanation:
Which fraction is equivalent to the whole number 8?
A.1/8
B.2/10
C.12/8
D.16/2
Answer:
D: 16/2
Step-by-step explanation:
you take 16 and divide it by 2 making your answer 8
hey I could use some help!
Answer:
b is the right answer
Step-by-step explanation:
A survey of randomly selected visitors to a mall yielded the following data:
Approved new design for the seating in the food court
Number surveyed
Male
155
254
Female
157
301
Based on this sample, what would be the correct decision and conclusion of a test to determine whether the proportion who approve the design plan for the seating area in the food court is higher for men than it is for women at the 5% level?
a) Reject the null concluding that there is evidence the proportion is higher for men.
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
c) Do not reject the null hypothesis concluding that there is evidence that the proportion is higher for men.
d) Reject the null concluding that there is evidence the proportion is higher for women.
e) Do not reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
Answer:
The answer is A
Step-by-step explanation:
Reject the null concluding that there is evidence the proportion is higher for men.
Using the z-distribution, as we are working with proportions, it is found that the correct option is:
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportions are the same, that is:
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, it is tested if it is higher for men, that is:
[tex]H_1: p_M - p_W > 0[/tex]
What is the distribution of the difference of proportions?For each sample, we have that:
[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]
[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]
Then, for the distribution of differences, the mean and the standard error are given by:
[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]
[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis, hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0886 - 0}{0.042}[/tex]
[tex]z = 2.11[/tex]
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.
More can be learned about the z-distribution at https://brainly.com/question/26454209
Raoul had a bottle that contains 2.2 liters of sparkling water. He pours 300 milliliters of the water from the bottle into a glass. How much sparkling water is left in the bottle?
Answer:
1.9 liters
Step-by-step explanation:
2200-300 = 1900
24. On the coordinate plane to the right, graph
the inequality 2x +y >1.
Help fast pls
Logx(x-3)=1 solve for x
What is the area of the base of the figure
48
45
30
24
i believe the area is 48 if it's not correct sorry
you purchase a bike for$175 the store-bought it from the manufacture for $100 what is the percent markup
Answer:
Step-by-step explanation:
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Explain how you know that a system of equations has no solution.
Explain how you know that a system of equations has an infinite number of solutions.
Answer:
Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.
What is the common multiple of 2,960 6,400 and 2000 with full process
Answer:
1184000
Step-by-step explanation:
lcm(2960,6400,2000)
prime factor:
[tex]2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)[/tex]
Take the largest power of each factor:
[tex](2^8)(5^3)(37^1)\\=1184000[/tex]
what is 50 x356 PLZ HELP MY ANSWER IS 178000 AM I RIGHT