Answer:
area=10.15 cm
Step-by-step explanation:
a=h*b/2
a= 2.9*7/2
a= 10.15
A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pick 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams
Answer: 90.93%
Step-by-step explanation:
M= 372
s= 26
n=36
P(365<x<380)
1. Find Z ----> 365-372 [tex]\sqrt{36}[/tex] = -1.6 Next Z----> 380 - 372 [tex]\sqrt{36}[/tex]= 1.8
26 26
2. plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results.
Sample Service Life (hours)
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470
1. What is the sample mean service life for sample 2?
a. 460 hours
b. 495 hours
c. 515 hours
d. 525 hours
2. What is the mean of the sampling distribution of sample means for whenever service life is in control?
a. 250 hours
b. 470 hours
c. 495 hours
d. 500 hours
e. 515 hours
Answer:
1. c. 515 hours
2. c. 495 hours
Step-by-step explanation:
Sample mean:
Sum of all values in the sample divided by the number of values.
1. What is the sample mean service life for sample 2?
Sample 2 has four values, which are:
525 515 505 515
So
[tex]M = \frac{525+515+505+515}{4} = 515[/tex]
The answer is given by option C.
2. What is the mean of the sampling distribution of sample means for whenever service life is in control?
3 samples, 12 total values. We find the mean of all these values. So
[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]
The answer is given by option C.
5th grade math. correct answer will be marked brainliest
Answer:
8 1/12 boxes
Step-by-step explanation:
Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.
What is the COEFFICIENT in the expression s + 16?
Answer:
I think its 16
Step-by-step explanation:
Round 7.54 please I need help
which expression is equivalent to x-5/3? 1/5√3^3 1/3√x^5 -3√x^5 -5√x^3
Answer:
What grade is this 12th?
Step-by-step explanation:
The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.
What is the equivalent expression for the given expression?It follows from the task content that the expression which is equivalent to that which is given is to be determined.
here, we have,
Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;
It follows from the power of powers law of indices that we have;
( 5/7 )-² • (1/3)³
Also, according to the negative exponent law of indices; we have;
(7/5)² • (1/3)³.
On this note, the required equivalent expression is; (7/5)² • (1/3)³.
Read more on equivalent expressions;
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Help fund BFF he try herh
Answer:
The correct answer is C: 1.8 Miles
Step-by-step explanation:
ANSWER FAST!! All of the following angle pairs are ALWAYS congruent when a transversal passes through 2 parallel lines EXCEPT:
Adjacent angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Answer:
Adjacent angles
Step-by-step explanation:
Which equation represents "The sum of a number n and 8, subtracted from 20, is 16."
A. n + 8-20 = 16
B. 8n - 20 = 16
C. 20 - (n + 8) = 16
D. 20- 8n = 16
WILL MARK B!
Please I need help I have a quiz
Answer:
a) 2x² - x + 3 = x(2x + 1) - 2x
<=> 2x² - x + 3 = 2x² + x - 2x
<=> 3 - x = - x
<=> 3 = 0
=> no solution
b) x/2 - x/3 - x/4 = 1/12
[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]
=> the euqation has the solution x = 1
c) |x - 5| = 2|x|
=> x - 5 = 2x
or x - 5 = -2x
<=> x = -5
or 3x = 5
<=> x = -5
x = -5or x = 5/3
d) defined conditions: 2 - x 》 0
<=> x 《 2
we have:
[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]
<=> x = 0 (because x 《 2)
e)
[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]
<=> x = -1/4
Answer:
[tex]a) [x: - \infty < x < \infty ][/tex]
[tex]b)[x: - 1][/tex]
[tex]c) [x:- \frac{5}{3} ][/tex]
[tex]d) [x: 3, 0][/tex]
[tex]e) [x: - \frac{1}{4} ][/tex]
Question 1 Arecipe for a chicken and rice dinner calls for 3 cups of rice for every 2 pounds of chicken. Select the true statement at There are 3 cups of rice for every 5 pounds of chicken. C B The ratio of pounds of chicken to cups of rice is 2 to 3. С The ratio of cups of rice to pounds of chicken is 2:1. D The ratio of pounds of chicken to cups of rice is 3.2. nate Education, Inc.
Answer:
The ratio of pounds of chicken to cups of rice is 2 to 3.
Step-by-step explanation:
3 rice: 2 chicken
3:2 ratio
can be written either number first
What is the midpoint of the segment below? (-12, -3) (3, -8)
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
area of rectangle =72in
area of triangle = 3in
square in of plastic in ruler =69in
HELP!!!
Find an explicit rule for the nth term of the sequence.
-5, -30, -180, -1080, ...
Answer:
multiply by 6
Step-by-step explanation:
Please help me. I need help
Answer:
(X+1)(x+5)
Step-by-step explanation:
Answer:
the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)
need help figuring this out
Answer:
think it is d
Step-by-step explanation:
ons: Practice
Question 2 of 5
The expression below represents the amount owed on a loan over t years.
1,550(1.042)
Interpret the meaning of the expression.
O The initial loan amount is $1,550, and the interest growth rate is 1.042% per year.
The initial loan amount is $1,042, and the interest growth rate is 55% per year.
The initial loan amount is $1,042, and the interest growth rate is 1.55% per year.
The initial loan amount is $1,550, and the interest growth rate is 4.2% per year.
Answer:
the initial loan amount is $1,550, and the interest growth rate is 4.2% per year.
Step-by-step explanation: I just answered it.
Answer:
the answer is c
Step-by-step explanation:
for plato
Mrs Sogiba is catering for her son's birthday party. She has invited some of
her son's friends to theparty. The number of friends is a compositemultiple of her
son's age on his birthday. She has baked 48 cup cakes and each childwill receive
exactly the same number of cupcakes. Use your knowledge of factors and multiples
to find out how old her son will be on this birthday.
Answer:
48 cupcakes divided by the boys age equals amout of cupcakes per person.
Step-by-step explanation:
The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?
Answer- b
Step-by-step explanation:
its b
What is 1,987 rounded to the nearest thousand?
Answer: 2000 hope this helps. Can u give me brainliest
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
Since there's a 9 before the 1 you would round up the 1,987 to 2,000
Suppose that 20% of voters are in favor of a certain legislation. A large number n of voters are polled and a relative frequency estimate fA(n) for the above proportion is estimated. How many voters should be polled so that the probability is at least 0.95 that fA(n) differs from 0.20 by less than 0.02?
Answer:
8000 voters
Step-by-step explanation:
E is the difference between probability that is real and those which are estimated
Sd² = p(1-p)
When solve this, using the formula in the attachment,
0.95 = 1-0.2(0.2)²/n(0.02)
0.95 = 1 - 0.16/n(0.02)²
1-0.95 = 0.16/n(0.02)²
0.05 = 0.16/0.0004n
We cross multiply here
0.05 x 0.0004n = 0.16
0.00002n = 0.16
Divide through by 0.00002 to get n
n = 8000
This is the number of voters that should be polled
I need help finding the area and perimeter to this question. Pls help!! Thank you!
Answer:
Perimeter: 50.27
Area: 201.06
Step-by-step explanation:
The perimeter (circumference) is radius times pi times 2
This would be 8 times pi tomes 2 and when you do that you get 50.27
For the area you would do radius squared times pi
This would be 8 squared times pi which is 201.06
Hope this is helpful
- Please mark brainliest :)
Please help!!!!!!!!!!!!!!!!!!!!!!
How many groups of 5 can you make
with the 25 shapes
Answer:
5 groups
Step-by-step explanation:
First one to answer gets BRAINLIEST no cap look at the picture.
Answer:460
Step-by-step explanation:
What is the result of the operation
Multiplication is the process of multiplying. The correct option is D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The result of the given operation can be written as,
[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]
Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,
[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]
Solving the multiplication, we will get,
[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]
Hence, the correct option is D.
Learn more about Multiplication here:
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Need Help (WILL GIVE BRAINLIEST)
Answer:
A
Step-by-step explanation:
(y-5) / (7-5) = (x-1) / (2-1)
(y-5) / 2 = x-1
y-5 = 2x -2
y = 2x +3
Pls help if not that’s fine just pls stop with the links
Answer:
C. 73 and 73
Step-by-step explanation:
An isosceles triangle has two angles that are the same, that narrows it down to C and D. The question states that there is only one 34° angle so it has to be C.
Answer:
C. 73° and 73°
Step-by-step explanation:
We know that the sum of interior angles in a triangle is equal to 180° and
Isosceles triangles has two angles with same measurement
it stated in the question that exactly one angle has measure of 34°
So the other two angles must be equal for the triangle to be isosceles
180 - 34 = 146 and this divided by 2
73° and 73° is the answer.
Georgia brought a snow cone shaped like the cone below what is the height of the snow cone
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem.
h² = 5² - 3² = 4²
h = 4 in
I need help I'll give out 40 points quickly
Answer:
The figure in the upper right corner.
A trapezoid has two parallel sides
Step-by-step explanation:
Answer:
The answer would be the shape on the right side on the top! NOT THE Rectangle (on the right bottom side) or the rhombus (on the left top side). The shape on the left bottom side IS a trapezoid.
Hope that helps. And this wasnt worth 40 points, it was only 5 points!?