Answer:
The probability is [tex]P( \= X > 268 ) =0.35376[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 266[/tex]
The standard deviation is [tex]\sigma = 16[/tex]
Generally the standard error of mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{16}{\sqrt{9} }[/tex]
=> [tex]\sigma_{\= x} = 5.33[/tex]
Generally the probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is mathematically represented as
[tex]P( \= X > 268 ) = P (\frac{ \= x - \mu }{ \sigma_{\= x}} > \frac{268 - 266}{5.33 } )[/tex]
[tex]\frac{\= X -\mu}{\sigma_{\= x} } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P( \= X > 268 ) = P (Z > 0.3752 )[/tex]
From the z table the area under the normal curve to the right corresponding to 0.3752 is
P (Z > 0.3752) = 0.35376
So
[tex]P( \= X > 268 ) =0.35376[/tex]
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior.
Required:
What is the probability that the sample proportion exceeds 0.84?
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?
Answer: 30
6 times larger than the width = that's 5×6=30.
Answer:
30 is the answer
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A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?
Answer:
90%
Step-by-step explanation:
We know that
9/10
is the same as
9÷10
Then using
Long Division for 9 divided by 10
gives us
0.9
Converting our number to a percentage:
0.9×100
=90%
(Note this isnt rounded up.)
If the ratio of circles to triangles you will only need to write ratios in one form of your choice
Answer:
Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle
Step-by-step explanation:
Answer this math question and ill give brainliest
Answer:
6 squares!
Hope this helped! :)
what fraction is equal to 4.5
Answer:
9/2
Step-by-step explanation:
in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...
we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...
now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2
since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4
now we need to find the remaining 1/2
this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)
Since 9/2 cannot be simplified any further... it is our final answer
40x + 44 = 38x + 44
Answer:
x = 0
Step-by-step explanation:
40(0) + 44 = 38(0) + 44
44 = 44
When x = 0 the equation is true
Answer:
x=no solution
Step-by-step explanation:
40x+44=38x+44
-44 -44
40x=38x
Find the value for
20:5=30:X
Answer: 6
Step-by-step explanation:
20/5 = 30/x
5 = 30/x
x = 6
The value 'x' in the given equation is 7.5.
What is the ratio of two numbers?"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."
Given, 20:5=30:X
⇒ [tex]\frac{20}{5} = \frac{30}{x}[/tex]
⇒ x = (30 × 5) / 20
⇒ x = 7.5
Therefore, the value of x is 7.5.
Learn more about ratio here:
https://brainly.com/question/84904
#SPJ2
4. There were 2000 students at the university.
After some students graduated, there were
1600 students remaining. By what percent did
the number of students at the university
decrease?
Answer:
20%
Step-by-step explanation:
you take away the zeros and make it 16/20. 16/20=80%. 100%-80%=20%
Answer:
20%
Step-by-step explanation:
2000-1600=400
400/2000=1/5=20%
Write the equation of the line through the points (4,5) and (12,9)
Answer:
y - 9 = 1/2 (x - 12)
Step-by-step explanation:
find slope:
9-5 = 4, 12 - 4 = 8, slope = 1/2
put in point-slope form:
y - 9 = 1/2 (x - 12)
You bought a game system tor 120 and sold
it for $150. What is the percent increase?
Answer:
25%
Step-by-step explanation:
I think...
Answer:
25%
Step-by-step explanation:
3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.
A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9
Answer:
it is C
Step-by-step explanation:
Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
for what values of x is x2+2x=24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
Answer:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
c
Step-by-step explanation:
banlest plzz
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?
Answer:
one expression you could use could be, 10.25A +8.50K=total
Step-by-step explanation:
you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids
Answer:
$8.50a+$6.75k+$1.75a+$1.75k
Step-by-step explanation:
Determine the y-intercept for 3x+2y=14
Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
Answer: y=7-3x/2 3x/2 is seen as a fraction
Step-by-step explanation:
Move all the terms that don’t contain y to the right and then solve
(Pls help me! I don’t understand!) it’s as image btw
Type the following fractions in order from greatest to least:
5/4, 4/10, 5/12, ¼, 11/12
Write the decimals in the boxes from greatest to least:
0.5, 0.91, 0.04, 0.89, 0.51
Answer:
Just put the greatest number first and then the second greatest etc
Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?
6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n
Answer:C it’s bc it says at least 12 time the number subtracted from 76
Step-by-step explanation:
If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Answer:
multiply 1 1/3 by 8x6 and see how many packages
3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.
Answer:
The ratio of men to women in this situation is 5/6.
Step-by-step explanation:
If you rewrite this as a percentage, it is 83.33%.
And also the alternative form of the answer is 0.83.
Hope this helps and if you could mark as brainliest. Thanks!
Answer:
125 : 150
25 : 30
5 : 6
Step-by-step explanation:
men ' s ratio is 5 while women' s is 6
How many pounds of grapes can I buy for $1.00?
2.09
Here you go! Hope it helps!
Write an equation perpendicular to x-3y=3 passes through (5,-9)
Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.
If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,
[tex]m_1\times m_2=-1[/tex]
Line given in the question is,
x - 2y = 3
-2y = 3 - x
[tex]y=\frac{1}{3}x-1[/tex]
Slope of this line is,
[tex]m_1=\frac{1}{3}[/tex]
Therefore, slope of the perpendicular line to the given line will be,
[tex]\frac{1}{3}\times m_2=-1[/tex]
[tex]m_2=-3[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (5, -9) and slope (-3) will be,
y - (-9) = -3(x - 5)
y + 9 = -3x + 15
y = -3x + 6
Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.
Learn more,
https://brainly.com/question/20894159
Brainliest if you provide an explanation and/or get it right!
Q: Find the value of y if x = 3
True or false : dilations always have the same scale factor as the original shape
Answer:
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. ... After a dilation, the pre-image and image have the same shape but not the same size.
Answer:
I would say False
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. After a dilation, the preimage and image have the same shape but not the same size.
Hope this helps.
Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction b. 12 possible outcomes; P(1 or 2) = One-third c. 6 possible outcomes; P(1 or 2) = One-fourth d. 6 possible outcomes; P(1 or 2) = One-third Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation: Edge
Answer:
It is D i think.
rosy wants a large picture window put in her living room of her new house. the window is to be square with an area of 49 square feet. how long should each side of the window be
A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?
Answer:
Perimeter = 23.692 units
Step-by-step explanation:
Perimeter = sum of all his sides
then:
Perimeter = 4.15 + 7.092 + 12.45
Perimeter = 23.692 units
How to reduce 0.35 to the lowest term
Answer:
7/20
Step-by-step explanation:
[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]
Answer:
7/20
Step-by-step explanation:
35/5=7
100/5=20
35/100=7/20