Answer:
x = 10
Step-by-step explanation:
Measure of the angle with it's vertex inside a circle = ½(sum of intercepted arcs)
Thus,
m<E = ½(HL + GF)
Substitute
60 = ½(55 + 5x + 15)
Multiply both sides by 2
2(60) = 55 + 5x + 15
120 = 5x + 70
120 - 70 = 5x
50 = 5x
50/5 = x
10 = x
x = 10
A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean and standard deviation of What is the probability that, for an adult after a 12-hour fast, x is less than 104
Answer:
The pvalue of Z when X = 104.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability that, for an adult after a 12-hour fast, x is less than 104?
This is the pvalue of Z when X = 104.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - \mu}{\sigma}[/tex]
[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.
Logarithmic Functions have what type of asymptote?
O Horizontal
O Vertical
Answer:
Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.
Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how far apart are they?
Gravitational force = (gravity x mass1x mass2)/distance^2
6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2
D = sqrt(6.0x10^-10/6.67x10^-11 x81)
D = 3.0 m
The answer is B.3.0 m
Answer:
B
Step-by-step explanation:
3.0 m
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.
Which is another way to write this number? (3 x 1,000) + (3 x 10) (3 x 1/100) + (3 x 1/1000)
Answer:
3030.033 is another way to write the number
Look at the photo for an Easy question and get easy points
Answer:
90
Step-by-step explanation:
why my answer has to be 20 characters long? :)
Answer:
the answer is 90
Step-by-step explanation:
Hope I helped!
solve -5 √x =-15
A. X= -9
B. X= -7
C. X= 9
D. X= 7
Pls help 10 ptsssssssssssss
NO LINKS
Answer:
the answer is 16
Step-by-step explanation:
8/2=4
4*4=16
Which figure correctly shows a horizontal reflection of the illustration?
Answer:
Step-by-step explanation:
B
Identify the equation that correctly shows the given relationship.
One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.
I'm not 100% sure, but imma have a go.
Answer:
a = 261; b = 253
Step-by-step explanation:
label candy bar A as a
label candy bar B as b
Make 2 equations.
2b + a = 767 (1)
b + 2a = 775 (2)
Solve for a in (1)
2b + a = 767 (-2b)
a = -2b + 767
Substitute for into (2)
b + 2( -2b + 767 ) = 775 (flip)
2( -2b + 767 ) + b = 775 (solve)
−4b + 1534 + b = 775 (add b)
-3b + 1534 = 775 (subtract 1534 from both sides)
−3b = −759 (divide both sides by 3)
b = 253
Substitute b into (1)
a = -2b + 767 (substitute)
a = -2 (253) + 767 (solve)
a = -506 + 767 (add)
a = 261
how many possible outcomes are there?
F(x)=8x sqrt(x-x^2) Find the exact maximum
First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.
Check the value of f(x) at these endpoints:
f (0) = 0
f (1) = 0
Take the derivative of f(x) :
[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]
[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]
For x ≠ 0, we can eliminate the √x term in the denominator:
[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]
f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :
√x (3 - 4x) = 0
√x = 0 or 3 - 4x = 0
The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.
Elizabeth bought snacks for her team's practice. She bought a bag of apples for $3.41
and a 10-pack of juice bottles. The total cost before tax was $13.21. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?
Answer:
$9.80
Step-by-step explanation:
$13.21 - $3.41 = $9.80
Answer:$5.49
Step-by-step explanation:
anyone caring to help me?? please and thank you it would be very much appreciated <3
Answer:
75
90
15, i think ??
165
hope this helps !!!! :D
Step-by-step explanation:
Solution:
Here,
In triangle LKM,
6x+5x+x=180
12x=180
x=180/12
x=15
Now,
1.75
2.90
3.15
4.165
A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Construct a 99% confidence interval for the unknown mean sodium level assuming that the population standard deviation is 10 milligrams.
Answer:
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
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 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
Now, find the margin of error M as such
[tex]M = 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.
[tex]M = 2.58\frac{10}{\sqrt{10}} = 2.58[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 103 - 2.58 = 100.42 milligrams of sodium per slice.
The upper end of the interval is the sample mean added to M. So it is 103 + 2.58 = 105.58 milligrams of sodium per slice.
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
PLEASE HELP FAST!!!!!
Answer:
120 feet is the answer
Which statement describes volume?
A) measures the space inside in cubic units
B) measures the space inside in square units
C) measures the outside surface in cubic units
D) measures the outside surface in square units
Answer:
A) measures the space inside in cubic units
Step-by-step explanation:
Which of the following is a difference of squares?
1/2 + (- 3/4)
1. 1
2. -1
3. -1/4
4. 1/4
Answer:
3. -1/4
Step-by-step explanation:
Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4
Which type of graph(s) should be used for the following data? Choose all that apply. (Check photo)
Answer:
Histogram is the correct answer
MARK AS BRAINLIEST PLEASE.
The type of graph used is Bar graph.
What is Bar graph?A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.
As, per the given data,
the best way to represent the data is Bar graph.
The data is a primary data and for such type of data Bar graph is used,
Learn more about Bar graph here:
https://brainly.com/question/8644324
#SPJ2
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?
WILL MARK BRAINLIEST
Solve for x.
60
10
20
120
Answer:
x = 10
Step-by-step explanation:
Let's draw the center of the circle S and the segments SE and SD.
SE is perpendicular to EF (as EF is tangent to circle).
That means FED + DES = 90deg
We also know that DSE = 120deg
And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.
DES = (180deg - 120deg) / 2 = 30deg
FED = 90deg - DES = 90deg - 30deg = 60deg
7x - 10 = 60
7x = 70
x = 10
The difference between the mean is _____ times the value of the MAD of each data set.
Fill in the blank.
At a restaurant, the bill comes to $90. If you decide to leave a 17% tip, how much is the tip?
Answer:
$15.30
Step-by-step explanation:
To find 17% of 90 you would have to do;
0.17x90 = 15.3
Therefore, the tip would come out to be $15.30
Will give brainliest
Find the surface area of the
rectangular prism.
4 ft.
12 ft.
9 ft.
[? ] sq ft.
Answer:
384Step-by-step explanation:
Given,
Dimensions of the rectangular prism = 9ft, 12ft and 4ft
Therefore,
Surface area of the rectangular prism
= 2( lb + bh + lh)
[tex] = 2(12 \times 9 + 9 \times 4 + 12 \times 4) {ft}^{2} [/tex]
[tex] = 2(108 + 36 + 48) {ft}^{2} [/tex]
[tex] = 2 \times 192 {ft}^{2} [/tex]
[tex] = 384 {ft}^{2} [/tex]
Hence,
Surface area of rectangular prism is 384 sq. ft (Ans)
The sum of two numbers is -25. One number is 101 less than the other. Find the numbers
Answer:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
Answer:
x=38
y= -63
Step-by-step explanation:
x+y=-25
y=x-101
x+(x-101)= -25
2x=-25+101
2x=76
x=76/2
x=38
y=x-101
y=38-101
y= -63
i need helpppppppp ITSSSSSSSSSSSSSSSSSSSSSSS URGETTTTTTTT HELPPPPPPPPPPPPPPPP
Answer:
what school you do
Step-by-step explanation:
what grade
4m - - - - >4x10=40m^2
6m - - - - >6x10=60m^2
which equations are equivalent of requirements -1/4(x)+3/4=12? select all that apply.
the answer: B,C,E (for people who don’t have brainly plus) <3
you can use this to get points if you’d like
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )