Answer:
The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error E as such
[tex]E = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]\sigma = 8, n = 110[/tex]. So
[tex]E = 1.96\frac{8}{\sqrt{110}} = 1.495[/tex]
The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.
Mark the statements that are true.
Write your question here (Keep it simple and clear to get the best answer)side of a triangle are in the ratio6:8:18.If the primeter of the triangle is 288 find the longest and shortest side difference between the longest and shortest side
Answer:
The longest side is side of 18 (153.6cm)
The shortest side is side of 6(57.6cm)
Step-by-step explanation:
Kindly check attached picture for explanation
Please help quick!!!!
Estimate by clustering: 56.9, 63.2, 59.3, 61.1
factorise:
a) 2y^3-4y^2-2y+4
b) 2x^2+7x+3
Answer:
b) 2x^2 + 7x + 3
= 2x^2 + 6x + 1x + 3
= 2x(x + 3) + 1(x + 3)
= (2x + 1) (x + 3)
There were 8 apples in the tree.
The wind blew some apples off
the tree. Now how many apples
are in the tree?
Answer:
idk maybe 4
Step-by-step explanation:
1) 2/9 + 5/9 =
2) 3/4 - 5/16 =
3) 6/7 × 1/2 =
4) Convert the decimal 0.984 to a fraction.
help asap please
Answer:
1. 7/9
2. 7/16
3. 3/7
4. 123/125
Step-by-step explanation:
1. Simplify the following:
2/9 + 5/9
2/9 + 5/9 = (2 + 5)/9:
(2 + 5)/9
2 + 5 = 7:
Answer: 7/9
_________________________
2. Simplify the following:
3/4 - 5/16
Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:
(4×3)/16 - 5/16
4×3 = 12:
12/16 - 5/16
12/16 - 5/16 = (12 - 5)/16:
(12 - 5)/16
12 - 5 = 7:
Answer: 7/16
_____________________________________________
3. Simplify the following:
6/7×1/2
6/7×1/2 = 6/(7×2):
6/(7×2)
6/2 = (2×3)/2 = 3:
Answer: 3/7
__________________________________________________
4. Rewrite the decimal number as a fraction with 1 in the denominator
0.984=0.984/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000
(0.984/1)×(1000/1000)= 984/1000
Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,
(984/8) = 123
(1000/8) = 125
Therefore
X=123/125
In conclusion,
Answer: 0.984=123/125
Find the equation of the line shown.
у.
10
9
8
7
6
5
4
3
2
1
О
Х
1 2 3 4 5 6 7 8 9 10
Answer:
f(x)=2x
Step-by-step explanation:
You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.
The equation of the line is [tex]y = 2 x[/tex]
From the graph, we have the following ordered pairs
(0,0) and (5,10)
The equation of the line is calculated using
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} \times (x -x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{10 - 0}{5 - 0} \times (x -0) + 0[/tex]
[tex]y = \frac{10}{5} \times (x -0)[/tex]
[tex]y = 2 \times x[/tex]
Evaluate the product
[tex]y = 2 x[/tex]
Hence, the equation of the line is [tex]y = 2 x[/tex]
Read more about linear equations at:
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Solve the inequality
-7x + 12 = 75
Answer:
-9
Step-by-step explanation:
-7x+12=75
-12 -12
-7x= 63
divide by -7 on both sides
x = -9
Brian has $30 in his piggy bank. He earns $10 a week at his job.
Sarah has $10 in her piggy bank and earns $20 a week at her job.
In how many weeks will they have the same amount of money?
A.1
B.2
С.3
D.Never
I know it’s not a or d someone please help me ASAP I have time
Answer:
B. 2 weeks
Step-by-step explanation:
1st week
Brian will have $40
Sarah will have $30
2nd week
Brian will have $50
Sarah will have $50
Answer:
B. 2
Step-by-step explanation:
10w +30 = 20w +10,
30 - 10 = 20w - 10w,
20 = 10w,
so the answer is,
w = 2
Molly works at an electronics store. Her last customer purchased a DVD player for $61.29 and five DVDs for $59.31, including taxes. If the customer paid her with two \$100 bills, how much change should she give him?
Answer:
$79.4
Step-by-step explanation:
Add up both of the prices.
61.29 + 59.31 = 120.6
Subtract that from the 200.
200 - 120.6 = 79.4
In a certain Algebra 2 class of 29 students, 18 of them play basketball and 5 of
them play baseball. There are 9 students who play neither sport. What is the
probability that a student chosen randomly from the class plays basketball or
baseball?
Answer:
20/29
Step-by-step explanation:
SEARCHED IT UP
a metallic sphere of radius 10 .5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm the number of such cone is
Answer:
1=1+2
Step-by-step explanation:
2+2+3+7\
Answer:
Step-by-step explanation:
Number of cones = Volume of Sphere/Volume of one cone
Volume of sphere = (4/3)πr³
[tex]=\frac{4}{3}\pi *10.5*10.5*10.5\\\\=4*\pi *3.5*10.5*10.5\\\\=1543.5\pi cubic cm[/tex]
Volume of cone= (1/3)πr²h
[tex]=\frac{1}{3}*\pi *3.5*3.5*3\\\\=\pi *3.5*3.5\\\\=12.25\pi cubic cm[/tex]
Number of cones = 1543.5π / 12.25π
= 126 cones
Fill in the blank
The equation *blank* describes the relationship
(simplify your answer)
Answer:
y = 1.5x
Step-by-step explanation:
in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x
Brainliest!!!!!
There are different ways to think about 2 2/3−2 1/3
Select three ways to find 2 2/3−2 1/3
Answer: 3/ 4
Step-by-step explanation:
Graph the line with slope -3 and y-intercept 3. please
Answer:
I can't post a graph, but I will explain how to do it.
Step-by-step explanation:
The y intercept is 3, so we know we can place a point at the coordinates (0,3). The y intercept is the point where your line crosses the y axis.
The slope is -3, which is the same as -3/1. The top number is the y axis, the bottom number of the slope is the x axis. This tells us that for every 1 space we move on the x axis, we move -3 spaces on the y axis. You should therefore have a second point located at (1,0).
You should end up with a line with a point at (0,3) and (1,0) which slopes down from left to right. Hope that helps.
The line of the graph is y=-3x+3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope is -3 and y-intercept is 3.
y=-3x+3
Now we have to plot the graph
x 0 1 2 3 4
y 3 0 -3 -6 -9
Hence, the line of the graph is y=-3x+3
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Equation of line through (-3,7) with slope of 4 is?
Answer & Step-by-step explanation:
First, we know what the formula is for y-intercept slope form.
[tex]y=mx+b[/tex]
Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, b.
[tex]7=4(-3)+b[/tex]
[tex]7=-12+b[/tex]
[tex]19=b[/tex]
So, the equation of the line that passes through (-3, 7) with a slope of 4 is..
y = 4x + 19
what is the equivalent to 18/18?
Answer:
1
Step-by-step explanation:
Parallelogram F C D E is shown. Sides D C and F E are parallel, and sides F C and E D are parallel. The length of C D is 4 r + 19, the length of D E is 8 r + 3, and the length of F C is 9 r minus 6.
What is the value of r?
What is the length of segment EF?
units
Answer:
r=9
ef=55
Step-by-step explanation:
The value of r in the given parallelogram is 9 and the length of EF is 55 units.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, in a parallelogram FCDE sides DC and FE are parallel, and sides FC and ED are parallel. The length of CD is 4r + 19, the length of DE is 8r + 3, and the length of FC is 9r - 6.
Since, we know that,
Opposite side of a parallelogram are parallel and equal, therefore,
FC = DE and DC = FE
Therefore,
8r+3 = 9r-6
r = 9
Therefore,
FE = DC = 4r+19
= 36+19
= 55
Hence, the value of r in the given parallelogram is 9 and the length of EF is 55 units.
Learn more about parallelogram, click;
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Kamil is saving up to buy a model of Big Ben costing £30 when he visits London. So far he has saved €15.00. How much more money does he need to save? (Show your answer in € and in £).
Answer:
€18.40 or £16.53.
Step-by-step explanation:
Kamil is saving up to buy a model of Big Ben costing £30 when he visits London.
He has saved €15.00.
First, we have to convert his savings to Pounds(£) and then, subtract that from the amount he needs.
€1 = £0.90
€15 = 15 * 0.9 = £13.47
So, Kamil has saved £13.47.
Therefore, the amount he has left to save is:
£30 - £13.47 = £16.53
To find this amount in Euros, we convert it to Euros:
£1 = €1.11
16.53 = 16.53 * 1.11 = €18.40
He has to save €18.40 or £16.53.
Answer:
€18.3 or £16.49
Step-by-step explanation:
Kamil needs to save £30 to buy Big Ben. Current rate of conversion from pound to euro is £1 = €1.11. If the money is converted from pound to euro, you multiply it by 1.11.
Therefore £30 = € (30 * 1.11) = €33.3
If he has saved €15 he needs to save an extra of €(33.3 - 15) = €18.3
He needs to save €18.3
€18.3 to pound using the Current rate of conversion from euro to pound = £(18.3/1.11) = £16.49
ZA
Round your answer to the nearest hundredth.
6
С
В
7
?
A
Answer:
58.99
The simplifying part may be wrong. It's not my strongest thing in math.
Step-by-step explanation:
Well to find angle A you first have to see which trig function to use.
Soh Cah Toa
In this case, you need the opposite / hypotenuse, which is sin.
6 / 7
And then you have to use inverse sin of 6 / 7
It's 58.99728087 which can be simplified to 58.99
The simplifying part may be wrong. It's not my strongest suit.
Answer:
∠A ≈ 59.00
Step-by-step explanation:
In this case, you need to use the inverse of sine (it gives you the opposite and hypotenuse sides): [tex]sin^-1[/tex]
[tex]sin^-1(6/7)[/tex]
≈ 58.997
Round to nearest hundredth:
≈ 59.00
At the end of any year a car is worth 5% less than what it was worth at the beginning of the year. If certain car was worth $10,000 at the beginning of 2014, then its value at the end of 2014 was
Answer:
$9500
Step-by-step explanation:
A=P(1-r)^t is the general model for decay. A being the end result of 2014, p is the amount beforehand, r is decay as a decimal, t is time. I think t would just be one since it's one year in time? 9500=10,000(1-0.05)^1
please help!!!! I will follow him/her
Answer:
a. 18.6%
b. 598,230
Step-by-step explanation:
Joe bought an apple tree that was 48 inches in height. He noticed that this tree grew approximately 4 inches in height each year.
Which statement best describes the function that could be used to model the height of the apple tree, h(t), as a function of time, t, in years.
~The height of the apple tree can be represented by a linear function, and the variable t is an exponent in the equation representing the function.
~The height of the apple tree can be represented by an exponential function, and the variable t is multiplied by 4 in the equation representing the function.
~The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.
~The height of the apple tree can be represented by an exponential function, and the variable t is an exponent in the equation representing the function.
Answer:
Step-by-step explanation:
8
A motorist travels between two towns. It usually takes 6 hours when travelling at a certain speed. He finds that if he reduces his speed by 15 km/hr his journey will take 1 hour more. Find his usual speed.
Answer:
His usual speed is 105 km/hr.
Step-by-step explanation:
Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:
s = d/6
s - 15 = d / (6 + 1)
from the first equation:
d = 6s and from the second:
d = 7(s - 15)
Eliminating d we get:
6s = 7(s - 15)
7s - 105 = 6s
s = 105.
Debra works as a tutor and as a waitress for $11 an hour. THIS MONTH, she worked a combined total of 97 hours at her two jobs. Let t be the number of hours Debra worked as a tutor this month. WRITE AN EXPRESSION FOR THE COMBINED TOTAL DOLLAR AMOUNT SHE EARNED THIS MONTH.
Answer:
(x -11) * t + 1067
Step-by-step explanation:
We know that in her tutoring job she earns x amount of money and how waitress earns $ 11 / hour.
They give us the combined number of hours that he works with all the jobs, which is 97, but from here we can say that in the time that he does NOT work as a tutor it is actually 97 - t.
Total earned this month = x * t + 11 * (97 -t)
Total earned this month = x * t + 1067 - 11 * t = (x -11) * t + 1067
Asa is supposed to floss his teeth using 18" of floss daily. He began a new roll 50' on March 17th. If he still has 2 feet of floss left after flossing on August 2nd, how many days has he forgotten to floss?
Answer:
Asa forgot to floss for 106 days.
Step-by-step explanation:
First of all, we will start by writing out the details we are given clearly.
Length of floss used per day = 18 inches
Original length of floss bought for use = 50 ft = 600 inches
Number of days between March 17th and August 2nd = 138 days
Length of floss left after August 2nd = 2 feet = 24 inches
From this, we can clearly calculate the length of floss used.
This will be original floss length - length of floss remaining = 600 - 24 = 576 inches
Length of floss used = 576 inches
If Asa used 18 inches per day, we can find the number of days he flossed by dividing the length used in total by the length used per day.
That will be 576/18 = 32 days
if Asa flossed for only 32 days, the number of days he didn't floss is 138 - 32 =106 days
Hence, Asa didn't floss for 106 days.
A quadrilateral has 2 pairs of angle with equal measures and 4 sides of equal length. What is the name of the quadrilateral? A. parallelogram B. rhombus C. trapezoid D. rectangle
Answer:
D. Rhombus
Step-by-step explanation:
Rhombus is the quadrilateral that lhas 2 pairs of angle with equal measures and 4 sides of equal length
Attached picture is the shape of Rhombus
Answer: The correct answer is option D; Rhombus
Step-by-step explanation: Basically, all the four options are quadrilaterals, or a plane shape with four sides. However, not all four-sided plane shapes have the same properties, and hence each of them has its own unique name due to its unique features or properties. A rhombus has four sides that are equal in measurement, but not all its four angles are equal in measurement. Two pairs of angles are equal to each other, and these are the pair of opposite angles. Also, the opposite sides/lines are parallel and congruent to each other.
A rectangle has, two opposite sides parallel and congruent, but unlike a rhombus, not all sides measure the same length. Only two opposite sides have equal measurement. In a rectangle, all four angles are congruent and they all measure 90 degrees each.
A trapezoid has only two sides as being parallel, and the other two sides are not parallel. The two parallel sides are referred to as the bases.
A parallelogram also has two equal sides as being parallel to each other and the two opposite sides are also congruent, just like a rhombus. However, unlike a rhombus, a parallelogram does not necessarily have all sides congruent. The two opposite sides may be equal in measure just like in a rectangle, but the angles are not all equal like in a rectangle.
Therefore, only a rhombus satisfies the conditions outlined in the question namely;
Two pairs of angles with equal measures, and four sides of equal length.
Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest
Answer:
C=2v
Step-by-step explanation:
because 0*2=0 1*2=2 2*2=4 3*2=6 4*2=8 5*2=10 so C=2v
The nth term of a sequence is 8(n+3)
what is the 30th term?
what is the nth term for this sequence?
Answer:
30th term: 364
nth term: 8(n + 3)
Step-by-step explanation:
Well the 30th term is 8(30 + 3) because you gotta plug it in.
You get 8 * 33 = 264
nth term is what they gave you. 8(n + 3)
Answer:
30th term: 364
nth term: 8(n + 3)
Step-by-step explanation:
Well the 30th term is 8(30 + 3) because you gotta plug it in.
You get 8 * 33 = 264
nth term is what they gave you. 8(n + 3)
x+2y=-8 find the slope
Answer:
Slope = -1.000/2.000 = -0.500
x-intercept = -8/1 = -8.00000
y-intercept = -8/2 = -4
Step-by-step explanation:
Step 1 :
Equation of a Straight Line
Graph of a Straight Line
Calculate the Y-Intercept
Calculate the Slope
Calculate the X-Intercept
Answer: Slope = -1.000/2.000 = -0.500
Hope this helps.
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 8 ( subtract x from both sides )
2y = - x - 8 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]