The balance in Hayden's savings account is $600.
What is the balance of the savings account?
Net worth is total assets less liabilities. Assets are items owned by a person that creates benefits in the future to the person. Liabilities are what are owed to another person.
Net worth = assets - liabilities
6760 = (2540 + 6000 + savings) - (880 + 1500)
6760 = 8540 + savings - 2380
Savings = 6760 - 8540 + 2380
Savings = $600
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A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?
Answer:
[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Note : the total number of students is 55
___________________________
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
p(A) = 40/55
p(B) = 15/55
[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]
Therefore,
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
[tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]
[tex]=\frac{50}{55}[/tex]
[tex]=\frac{10}{11}[/tex]
What is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m∠B=
°
Answer:
Step-by-step explanation:
(2x-30) + 40 + (x+20)=180
=3x+30=180
=3x=150
=x=50
B=70
Omar baked 9 pizzas that weigh 20 1/4 lbs total. How much does each pizza weigh?
Answer:
2.25 or 2 1/4
Step-by-step explanation:
20 1/4 divided by 9 is 2 1/4 :)
Answer:
2.25 lbs each
Step-by-step explanation:
you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.
hope this helped
What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
Answer:
Q’(–5, –3)
Step-by-step explanation:
This is because the pints of q are this.
Your friend shows you a coin collection. In it, 38/50 of the coins are quarters. What percent of the coins are quarters?
Answer: 76%
Step-by-step explanation: 38/50 × 100/1
the cone and sphere have equal volumes. what is the radius of the sphere? show your work
Answer:
sphere have a same diameter of cone so
the sphere have a diameter of 40 then the diameter is 40÷2=20
that's mean than the radios is 20
please What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want. PLEASE ANSWER QUICK
Answer:
Computer Science is more harder so I would go with Precalculus.
What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3
Answer:
6,000 units3
Step-by-step explanation:
got it rt
4 Suki watches a movie and eats a snack afterward. The movie starts at 7:15 PM
and is 1 hours long. Suki finishes her snack at 9:10 PM. How long does Suki
spend eating a snack?
Show your work.
It’s question 4 btw
25 minutes long
Explanation:Hope this helps!
Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?
For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!
Diagram to better understand maybe? (I did the best I could with this lol)
x (the 25 minutes you found once you solved it)
^
7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM
^ ^ ^
Time the movie started Movie length When she finished eating
♡ I am so proud of you! You are doing amazing and you are glowing! Keep up the great work and have a good day! ♡8374274 x 345
What is the answer?
Answer:
2,889,124,530
Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.
The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).
We have the radius of the circle r = 6 centimeters
Central angle = 4π/3 = 240°
We know the area of the sector :
[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]
[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]
= 0.667×3.1415×36
= 75.43 square centimeters
Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
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soccer player jumps up and heads the ball while it is 7 feet above the
It bounces up at a velocity of 20 feet
ground.
per second. How long will it
take the ball to hit the ground?
The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
What is vertical motion model?Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,
[tex]h(t)=-16t^2+v+t[/tex]
Here, t is time and v is velocity.
Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second. Thus, the vertical motion model for this situation is,
[tex]h(t)=-16t^2+20t+7[/tex]
When the ball hit the ground, the value of height (h) become zero. Thus,
[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]
On solving this quadratic, the value of x we get,
[tex]x=1.535,x=-0.285[/tex]
Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
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Choose the function whose graph is given below.
100 Brainliest up for grabs to person who can answer all of these with no links:
Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X = number of lawns mowed on a randomly selected day.
A) What is the probability that he will mow exactly 2 lawns on a randomly selected day?
B) What is the probability that he will mow at least 1 lawn on a randomly selected day?
C) What is the expected value (mean) of lawns mowed on a randomly selected day?
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
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Which fraction is closest to 1 1/2?
Answer:
4/2
Step-by-step explanation:
Find number closest to 1.5
[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]
4/2 is closest to 1.5
Please mark brainliest!
8
To rent a car, Jorge spent $415 in rental
fees plus $86 for insurance. He also paid
$2 per day for tolls, plus $5 per day for
roadside assistance. Jorge rented the car
for a total of 12 days.
Based on the expression below, what is
the total amount of money that Jorge
spent? (6.7A | Lesson 5)
1
415 +86 + 12(2 + 5)
Can someone help me please?
Answer:
its too small to see
Step-by-step explanation:
i will give brainliest image below
Answer:
55°
Step-by-step explanation:
50+75=125. 180-125=55
55+90=145. 180-145=35
90-35=55
Angle ABC (B) is 55°
Method I used:
All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).
Solve for the area of the complex figure below. Show your work and explain the steps you used to solve.
Round your answer to the nearest whole number.
What expression represents the volume of the cone, in cubic units? two-thirdsπx3 four-thirdsπx2 2πx3 4πx3
The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Volume of coneThe volume of a cone is given by the following formula presented below;
V = ¹/₃πr²h
where;
V is volume of the coner is radius of the coneh is height of the coneThe volume of a cone can be determined by multiplying the square of the radius and height of the cone.
Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
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Answer:
[tex]\frac{2}{3}[/tex] π x³
Step-by-step explanation:
Determine which pair of quantities best describes the approximate maximum altitude of the egg and the estimated time at which the egg reached the maximum altitude.
23.65 feet at 3 seconds
23.45 feet at 3 seconds
23.78 feet at 3.7 seconds
The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let us assume the height of the egg (h) at time t is given by:
h(t) = -16t² + 96t - 120.35
The maximum height is at h' = 0, hence:
h' = -32t + 96 = 0
-32t + 96 = 0
t = 3 sec
h(3) = -16(3)² + 96(3) - 120.35 = 23.65
The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds
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helpppppppppppppppppppppppp
Answer:
[tex]360\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 12\ cm[/tex]
[tex]A = 120\ cm^2[/tex]
Step 2: Determine the area of the back rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 5\ cm[/tex]
[tex]A = 50\ cm^2[/tex]
Step 3: Determine the area of the top rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 13\ cm[/tex]
[tex]A = 130\ cm^2[/tex]
Step 4: Determine the area of the triangle
[tex]A = \frac{h*b}{2}[/tex]
[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]
[tex]A = \frac{60\ cm^2}{2}[/tex]
[tex]A = 30\ cm^2[/tex]
Step 5: Determine the surface area
[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]
[tex]360\ cm^2[/tex]
Answer: [tex]360\ cm^2[/tex]
What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6, ...
•-2
•-1/2
•1/2
•2
1: 542 mg =____g
2: 39 cm = ____m
3: 0.75 m =____cm
4: 6,367 mm= ___m
5: 6.5 g =___ mg
6:736 m = ___ km
7:12 g =____ kg
8:22 cm =___m
The circumference of a circle is 12π m. What is the area, in square meters? Express your answer in terms of π.
Answer:
π 36 m^2
Step-by-step explanation:
C = 2π R = 12π m --> R = 6m
A = π R^2 = π 36 m^2
Answer:
Area of circle = 36π m²Step-by-step explanation:
In the question we are given that circumference of circle is 12π m . And we are asked to find the area of circle in term of π .
Solution : -
For finding area of circle we need to find the radius of circle . In the question circumference of circle is given . So we can find radius of circle using it . We know that ,
[tex] \qquad \quad \pink{\underline{\pink{\boxed{\frak{Circumference_ {(Circle) }= 2\pi r}}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleBut as in the question , it is given that we have to find the area in term of π. So we aren't using π as 3.14 or 22/7 .
Now, Radius :
[tex] \longrightarrow \qquad \: 12 \cancel{\pi }= 2 \cancel{\pi} r[/tex]
Step 1 : Cancelling π and we get :
[tex] \longrightarrow \qquad \:12 = 2r[/tex]
Step 2 : Dividing both sides by 2 :
[tex] \longrightarrow \qquad \: \cancel{\dfrac{12}{2} } = \dfrac{ \cancel{2}r}{ \cancel2} [/tex]
On further calculations we get :
[tex] \longrightarrow \qquad \: \boxed{ \bf{r = 6 \: m}}[/tex]
Therefore , radius of circle is 6 m .Finding Area :
As we have find the radius of circle above so we can find its area easily . We know that ,
[tex] \qquad \: \qquad \pink{\underline{\pink{ \boxed{{\frak{ Area_{(Circle)} = \: \pi r {}^{2} }}}}}}[/tex]
Now substituting value of radius :
[tex] \longmapsto \: \qquad \quad\pi (6) {}^{2} [/tex]
[tex] \longmapsto \: \qquad \quad \pi \times \: 6 \times 6[/tex]
[tex] \longmapsto \: \qquad \quad \pi \times 36[/tex]
We get :
[tex] \longmapsto \: \qquad \quad \blue{\underline{\blue{\boxed{\frak{ \bf{36 \pi \: m {}^{2} }}}}}}[/tex]
Therefore, area of circle is 36π square metres .#Keep Learning50 POINTS AND BRAINLIEST! PLEASE HELP!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating
component you need to handle them separately.
What is 0.47 expressed as a fraction in simplest form?
What is 0.47_ expressed as a fraction in simplest form?
What is 0.47__expressed as a fraction in simplest form?
3 parts to this question! answer all honestly and show ur work!
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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Please help! Will mark brainlyest.
Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).
Answer:
(-2,-2)
Step-by-step explanation:
Y-axes gose up and down
x-axes gose side to side
(x,y) is how its written. So -6 +4= -2
brainlyest and five stars, please :)
Can someone help me with this please.
Answer: A. Register
Step-by-step explanation:
Each time you write a check or deposit money in your account, its recorded in your check register.
What is the product of 17 and 41
Answer:
697
Step-by-step explanation:
A product is an answer to a multiplication question
A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of the two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years, 15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. Use a 0. 05 significance level to test the claim that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers
Using the z-distribution, it is found that there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference among the proportions, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypotheses, it is tested if the aspirir proportion is lower, that is:
[tex]H_0: p_1 - p_2 < 0[/tex]
What is the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]p_1 = \frac{15}{500} = 0.03, s_1 = \sqrt{\frac{0.03(0.97)}{500}} = 0.0076[/tex]
[tex]p_2 = \frac{26}{500} = 0.052, s_2 = \sqrt{\frac{0.052(0.948)}{500}} = 0.0099[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{p} = p_1 - p_2 = 0.03 - 0.052 = -0.022[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0076^2 + 0.0099^2} = 0.0125[/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{-0.022 - 0}{0.0125}[/tex]
z = -1.76.
What is the conclusion?Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.
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