Answer:
8
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
subtract diffrences
A person read that the average number of hours an adult sleeps on Friday night to Saturday morning was 7.2 hours. The
researcher feels that college students do not sleep 7.2 hours on average. The researcher randomly selected 15 students and
found that on average they slept 8.3 hours. The standard deviation of the sample is 1.2 hours. If you wanted to test this claim,
what type of statistical test would you do and why?
Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
Find the area of the isosceles triangle.
13 cm/
10 cm
Answer:
(assuming the height is 13 and the width is 10 or vice versa) 65
Step-by-step explanation:
a = 1/2 base × height
1/2 13 × 10 or 10×13
130 ÷ 2
65
Area of isosceles triangle = [tex]\( \frac{13\sqrt{231}}{4} \)[/tex] square centimeters, approximately 43.03 square centimeters.
To find the area of an isosceles triangle, you can use the formula:
[tex]\[ Area = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
Since it's an isosceles triangle, the height divides the triangle into two right-angled triangles of equal size.
Given:
Base = 13 cm
Height = ?
To find the height, we can use the Pythagorean theorem.
Let's denote the height as [tex]\( h \),[/tex] and half of the base (since the triangle is isosceles, and the height splits the base into two equal parts) as [tex]\( \frac{13}{2} \).[/tex]
Then, using the Pythagorean theorem:
[tex]\[ (\text{height})^2 + \left(\frac{13}{2}\right)^2 = 10^2 \]\[ (\text{height})^2 + \left(\frac{13}{2}\right)^2 = 100 \]\[ (\text{height})^2 + \frac{13^2}{2^2} = 100 \]\[ (\text{height})^2 + \frac{169}{4} = 100 \]\[ (\text{height})^2 = 100 - \frac{169}{4} \]\[ (\text{height})^2 = \frac{400}{4} - \frac{169}{4} \]\[ (\text{height})^2 = \frac{231}{4} \][/tex]
Now, let's solve for the height:
[tex]\[ \text{height} = \sqrt{\frac{231}{4}} \]\[ \text{height} = \frac{\sqrt{231}}{\sqrt{4}} \]\[ \text{height} = \frac{\sqrt{231}}{2} \][/tex]
Now that we have the height, we can calculate the area using the formula:
[tex]\[ Area = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
Substituting the values:
[tex]\[ Area = \frac{1}{2} \times 13 \times \frac{\sqrt{231}}{2} \]\[ Area = \frac{13 \sqrt{231}}{4} \][/tex]
So, the area of the isosceles triangle is [tex]\( \frac{13 \sqrt{231}}{4} \)[/tex] square centimeters.
The complete question is here.
Find the area of the isosceles triangle with a base of 13 cm and a height of 10 cm.
What is the y-intercept of =1+6x
Answer:
(0,1)
Step-by-step explanation:
Find AC and round to the nearest hundredth
Answer:
2.18
Step-by-step explanation:
tan 70°=x/6
by cross multiplication
xtan70°=6
divide both sides by tan70°
x=6/tan70°
x=6/2.7475
x=2.18
An equation is shown below 12 -9 + c=12 .What value of c makes the equation true?
A 0
B 3
C 9
D 12
Answer:9
Step-by-step explanation:
12-9=3 12-3=9 3+9=12
So C=9
Hey there!
[tex]\large\boxed{c=9}[/tex]
12 - 9 + c = 12
Combine like terms.
3 + c = 12
Subtract 3 from each side of the equation.
3 - 3 + c = 12 - 3
c = 9
Check:
12 - 9 + c = 12
12 - 9 + 9 = 12
3 + 9 = 12
12 = 12
Hope this helps!
Galila a sprinkler that sprays water in a circle. The circle has a 20-foot radius. Which of the following equations can be used to determine the circumference of the circle created by sprinkler water?
Odette has two investments that she purchased at the same time. Investment 1 cost $10,000 and earns 4% interest each year. Investment 2 cost $8000 and earns 6% interest each year.
Write exponential growth functions
that could be used to find v1(t) and v2(t), _________________________________
the values of the investments after t years.
Find the value of each investment after 5 years.
Explain why the difference between their values, ____________________________ which was initially $2000, is now less
Answer: The functions are v1(t)=10000*(1.04)^5 and v2(t)=8000(1.06)^5
v1(5)=12166$
v2(5)=10705 $
Step-by-step explanation:
Given:
Investment cost for 1st=10,000$ ,at 4%rate.
Investment cost for 2nd=8000$ ,at 6% rate.
To Find:
Exponential growth functions ,
that could be used to find v1(t) and v2(t),
the value of each investment after 5 years
And difference between their values.
Solution:
Consider for 1st investment function be v1(t) and for 2nd be v2(t)
and t be time period
Exponential growth is given by, as time function,
v(t)=initial cost*(1+rate)^time period.
for 1st investment its cost is 10000$ at 4 % rate.
[tex]v1(t)=10000(1+0.04)^t[/tex]
[tex]v1(t)=10000(1.04)^t[/tex]
for 2nd investment its cost is 8000$ at 6% rate.
[tex]v2(t)=8000(1+0.06)^t[/tex]
[tex]v2(t)=8000(1.06)^t[/tex]
For t=5 calculating for both investment,
[tex]v1(5)=10000(1.04)^5[/tex]
[tex]=10000*1.2166[/tex]
v1(5)=12166 $
For 2nd investment,
[tex]v2(5)=8000(1.06)^5[/tex]
[tex]=8000*1.3382[/tex]
v2(t)=10705.8 $
Now after 5 years the difference is =v1(t)-v2(t)
Which is about 1460 $ only.
This because of the both functions depends upon time,initial investment and rate of interest .
Here time period being same.But the rate of interest are different and initial values are different.
PLEASE HELP QUICK I WILL MARK BRAINLIEST!
Which value for Y in the table would be least likely to indicate an association between the variables?
QUICK!!!
Find measure of arc CE
A. 40°
B.50°
C.75°
D.80°
Answer:
Option B is the right choice.
Step-by-step explanation:
Given:
An are CE and an inscribed angle CBE.
Measure of inscribed angle CBE = 25 °
We have to find the measure of the arc CE.
Concept:
An inscribed angle is an angle with its vertex on the circle.The measure of an inscribed angle is half the measure the intercepted arc. Measure of inscribed angle = 1/2 × measure of intercepted arc .To find the measure of arc CE.
⇒ [tex]\angle CBE = \frac{1}{2} \times m\ (arc\ CE)[/tex]
⇒ [tex]2\times \angle CBE = m\ (arc\ CE)[/tex]
⇒ [tex]2\times 25 = m\ (arc\ CE)[/tex]
⇒ [tex]50 = m\ (arc\ CE)[/tex]
Measure of intercepted arc CE = 50 degrees.
The measure of arc CE = 50° so, option B is the right choice.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.
a. Write a function to represent this situation. Use x and y as your variables.
b. What would his weight be after 8 weeks?
a) The function that represent this situation is y = 90 + 8x.
b) His weight be after 8 weeks is 154 lbs.
Step-by-step explanation:
It is given that,
He started at 90 kilograms.And gained weight at a constant rate of 8 lbs a week.a) Write a function to represent this situation. Use x and y as your variables.
Let 'x' be the number of weeks he gained weight.Let 'y' be the total weight.Hence the equation can be framed as,
Total weight = starting weight + weight gained in x weeks.
We know that, each week he gains 8 lbs. Therefore, for 8 weeks he gained 8x lbs of weight.
⇒ y = 90 + 8x.
∴ The function that represent this situation is y = 90 + 8x.
b) What would his weight be after 8 weeks?
To find his week after 8 weeks, substitute x=8 in the function y = 90 + 8x.
⇒ 90 + 8(8)
⇒ 90 + 64
⇒ 154 lbs.
∴ His weight be after 8 weeks is 154 lbs.
A plane flies 610 mi with the wind in the same time that it takes to fly 440 mi against the wind. If this plane flies at the rate of 219 mi in still air, what is the speed of the wind? Round to the nearest whole number, if necessary.
Hope it helps I alrady solved it
What is the limit of the infinite series ?
∑n=1∞(3n^5/6n^6+1)
The limit of the given infinite series is undefined.
Explanation:The given series is:
∑n=1∞(3n5/6n6+1)
To find the limit, we can simplify the series by dividing the numerator and denominator by the highest power of n:
∑n=1∞(3/n-1/6n-1+n-6)
As n approaches infinity, the terms containing n-1 and n-6 approach 0, so we are left with:
∑n=1∞(3/n)
This is a harmonic series with the form 1+1/2+1/3+1/4+... which is known to diverge. Therefore, the limit of the given infinite series is undefined.
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need help will give brainist
Answer:
1: -2.33 or -7/3
2: - 2.16 or -13/6
3: 3.49 x 10^4
4: 4.28*10-7
5: 0.81 or 9/11
6. 3
7: 8
8: 9 or up
9: 5 or up
10: 0-36
I hope any of this helps.... :D
1. The resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 10 Find the percentage rates of heart rates less than 60.
2. The resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 10 Find the percentage rates of heart rates less than 80.
3. The resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 10 Find the percentage rates of heart rates greater than 50.
PLSSS
Answer:
Step-by-step explanation:
Looking at the information given, the population mean and population standard deviation are known. We would apply the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 70
σ = 10
1) x = 60
The probability that the heart rate if an individual is less than 60 is expressed as
P(x < 60)
z = (60 - 70)/10 = - 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.16
The percentage rates of heart rates less than 60 is 0.16 × 100 = 16%
2) x = 80
The probability that the heart rate if an individual is less than 80 is expressed as
P(x < 80)
z = (80 - 70)/10 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
The percentage rates of heart rates less than 80 is 0.84 × 100 = 84%
3) x = 50
The probability that the heart rate if an individual is greater than 50 is expressed as
P(x > 50) = 1 - P(x ≤ 50)
z = (50 - 70)/10 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.23
P(x > 50) = 1 - 0.23 = 0.77
The percentage rates of heart rates greater than 50 is 0.77 × 100 = 77%
Which word BEST describes the number 12 in the expressions 12x − 3(y + 3) + 9x?
A) coefficient
B) constant
C) exponent
D) term
If a is a rational number and b is an irrational number, then the sum a + b is
Answer:
Sum a + b is irrational
Step-by-step explanation:
Any irrational number plus a rational number is always irrational.
Which of the following geographical features can be found in Central Asia? Select all that apply.
Brahmaputra River
Caspian Sea
Fedchenko Glacier
Himalaya Mountains
Tian Shan Mountains
Timor Sea
the answers are:
Caspian Sea
Fedchenko Glacier
and Tian Shan Mountains
Step-by-step explanation:
i got it right in my quiz
A grocer is making 26 pounds of a batch of
mixed nuts containing cashews and peanuts. The
peanuts cost $2.95 per pound, and the cashews
cost $9.95 per pound. How many pounds of each
item are in the mix if the total value of the mixed
nuts is $132.70?
Answer:
rdgvvsssddas
Step-by-step explanation:
42423412
With which information can you construct more than one triangle?
Answer:
The measurements of all the right angles and the lengths of the two sides and the measurement of the included angle.
Step-by-step explanation:
the measurements of two angles
the measurements of two angles and the length of the included side
the lengths of two sides and the measurement of the included angle
When does the graph of a quadratic function open up?open down?
The graph of a quadratic function opens up when a (<,>,=) 0 and opens down when a (<,>,=) 0
Answer:
1. >
2. <
Step-by-step explanation:
When a > 0, the graph opens upwards, or positively, because the way the line curves is determined by a.
When a < 0, the graph opens downwards, or negatively, for the same reason.
Final answer:
The graph of a quadratic function opens upwards when the coefficient of the squared term is positive (a > 0), and opens downwards when this coefficient is negative (a < 0).
Explanation:
The graph of a quadratic function opens up or down based on the sign of the coefficient of the squared term (usually represented as 'a' in the quadratic equation ax2 + bx + c). When this coefficient a is positive (a > 0), the parabola opens upwards. Conversely, if the coefficient a is negative (a < 0), the parabola opens downwards. The orientation of the parabola reflects whether the quadratic function has a minimum value (opening upwards) or a maximum value (opening downwards).
The full question is shown below
Answer:
n = 3
Step-by-step explanation:
Ratio from Triangle A to Triangle B is 2:1.
n+2 = 5
n = 3
*
25 points
Captionless Image
A
B
C
D
Answer:
c
Step-by-step explanation:
The correct option is Option B: is an A.P., because d = 10
What is an Arithmetic Progression?An arithmetic progression, also known as an arithmetic sequence, is a sequence of numbers in which the difference between consecutive terms is constant. This constant difference is called the common difference and is denoted by 'd'.
The given sequence is:
-5, 5, 15, 25, ....
In every Arithmetic Progression (A.P.)
The common difference d
d= 2nd term - 1st term = 3rd term - 2nd term
d = 5-(-5) = 15 - 5
d = 10
Hence the common difference is 10,
Therefore the sequence is an A.P., because d = 10
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The correct question
The sequence: -5, 5, 15, 25, ...
A. is not an A. P.
B. is an A.P., because d = 10
C. is an A.P because d = 5
D is an A. P., because d = -10
A round mirror has a radius of 5.3 inches. What is the area of the mirror in square inches, rounded to the nearest tenth?
Answer:
88.2 squared
Step-by-step explanation:
The formula to find the area of a circle is a = pi * r ^2
Let's replace the values that we know.
a = 3.14 x 5.3 ^2
First, we should do 5.3 ^2, which is 28.09.
a = 3.14 x 28.09
Now we are able to do 3.14 x 28.09 which is 88.2026
But that isn't it! We need to round to the nearest tenth, which is this digit:
88.2026
Since next to the 2 there is a 0, you take out all the numbers after that 2. Which leaves you with:
88.2
Final answer:
The area of the round mirror with a radius of 5.3 inches, when calculated using the formula A = πr^2 and rounded to the nearest tenth, is 88.2 square inches.
Explanation:To find the area of the round mirror with a radius of 5.3 inches, we will use the formula for the area of a circle, which is A = πr^2, where A is the area, π is approximately 3.14, and r is the radius of the circle.
Given that the radius of the mirror is 5.3 inches, we can substitute this value into the formula to find the area:
A = π(5.3)^2 ≈ 88.2 square inches.
Let's plug in the radius:
A = π * (5.3 inches)^2A = 88.2026 square inchesWhen rounded to the nearest tenth, the area of the mirror is 88.2 square inches.
The nth term of a sequence is n +7
a) Work out the first three terms of the sequence,
b) Work out the tenth term of the sequence,
Generating Bequence
Step-by-step explanation:
Tn = n + 7
The first three terms of the sequence is
T1 = 1 + 7 = 8
T2 = 2 +7 = 9
T3 = 3 + 7 = 10
--------------------
The first three terms of the sequence is 8 , 9 and 10
Now
The tenth term of the sequence is
T10 = 10 + 7 = 17
Hope it will help you. :)
a) The first three terms of the sequence is given by 8 , 9 , 10 respectively
b) The tenth term of the sequence is a₁₀ = 17
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic progression be represented as A
Now , the equation will be
A = n + 7 be equation (1)
a)
when n = 1
Substitute the value of n = 1 in the equation , we get
The value of a₁ = 1 + 7 = 8
when n = 2
Substitute the value of n = 2 in the equation , we get
The value of a₂ = 2 + 7 = 9
when n = 3
Substitute the value of n = 3 in the equation , we get
The value of a₃ = 3 + 7 = 10
b)
The tenth term of the arithmetic sequence is when n = 10
Substitute the value of n = 10 in the equation , we get
The value of a₁₀ = 10 + 7 = 17
Hence , the tenth term of the AP is a₁₀ = 17
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Please help, I have no idea
Answer:
I THINK all but C apply for the second one. Just suggesting, but I hope it helps.
The label on Lulu’s new roll of tape shows that the roll has 7 meters of tape.
Lulu uses 3,000 millimeters of tape. How many meters does Lulu have left?
(1,000 mm = 1 m)
__ m
Answer:
4 meters
Step-by-step explanation:
7-3=4 m
Answer: Lulu has 4 meters of tape left.
Hope this helps!!
Evaluate f(3) for the piecewise function:
f(x) = StartLayout enlarged left-brace 1st Row StartFraction 3 x Over 2 EndFraction + 8, x less-than negative 6 2nd row negative 3 x minus 2, negative 4, less-than-or-equal-to x less-than-or-equal-to 3 Third row 4 x + 4, x greater-than 3 EndLayout
Which value represents f(3)?
Answer:
8
Step-by-step explanation:
Step-by-step explanation: -3x - 2
-3 x 3 = -9
-9 -2 = -11
-11 is the answer.
A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4. Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in that trial.
Answer: The answer is 0.3
Step-by-step explanation:
Lily should expect to buy 1.5 boxes to get all four prizes.
Explanation:This question belongs to the field of probability in Mathematics. The problem is asking how many boxes Lily should expect to buy in order to get all four prizes. This is a geometric problem because each box has a probability of 1/4 of containing a prize, and each trial is independent with the same probability of success. To solve this problem, we can use the concept of expected value.
The expected value is the average number of boxes Lily needs to buy to get all four prizes. The expected value can be calculated by multiplying the probability of each outcome by the number of boxes it takes to achieve that outcome, and then summing up these products:
Expected value = (1/4) * 1 + (1/4) * 2 + (1/4) * 3 + (1/4) * 4 = 1.5
Therefore, Lily should expect to buy approximately 1.5 boxes to get all four prizes.
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May i please know the awswers im giving alot of points and this subject confuses me greatly
Answer:
1.circle
2.triangle
3.trapezoid
4.parallelogram
Step-by-step explanation:
How do I solve this equation
Answer: 14
Step-by-step explanation:
the question is just asking you to replace the x and y with the corresponding numbers.
x = 4
y = -3
Since x is 4 squared it would be 16.
-4 times -3 equals positive 12.
That would make the equation
(16 + 12) divided by 2
16 + 12 = 28 divide that by 2 and you’ll get 14.
Answer: 14
Step-by-step explanation:
First plug 4 in for x.
4^2 is equal to 16 because 4 x 4 is 16.
Next, plug in -3 for y.
-4 x -3
4 times 3 is 12 and they are both negative, therefore it turns out as a positive 12.
Then add the numbers on the top of your equation.
16+12=28.
Finally divide the sum by 2.
28 divided by 2= 14
Your answer is 14.
Hope this helps!