Answer:
1. 3413
2. 4886
3. 114
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.
Mean is 400 hours and the standard deviation is 50 hours
This means that [tex]\mu = 400, \sigma = 50[/tex]
1. Between 350 and 450 hours:
The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.
X = 450:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 400}{50}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 400}{50}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.8413 - 0.1587 = 0.6826
Out of 5000:
0.6826 out of 5000. So
0.6826*5000 = 3413
3413 are expected to last between 350 hours and 450 hours.
2.more than 300 hours
The proportion is one subtracted by the pvalue of Z when X = 300.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 400}{50}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
Out of 5000:
0.9772of 5000 is
0.9772*5000 = 4886
4886 are expected to last more than 300 hours.
3.less than 300 hours
4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.
which is it? please answer asap
Answer:
the difference of m and 5 is graeter than 10
What 2+2? I forgot :( points hehe
Answer:
4
Step-by-step explanation:
2+2=4
4.3x10^3 in standard notation
Answer:
4300
Step-by-step explanation:
i think this is what you want
Help please. Need answers asap.
Answer:
a) 3
b) 30
c)48.8
don't forget to follow meWhen rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply
This right triangular prism has a base with an area of 15 square feet. The height of the prism is 7 feet. What is V, the volume of the triangular prism?
Answer:
[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]
Answer:
105
Step-by-step explanation:
its right trust me
but make sure this is the question that you are doing
HELP ME PLEASEEEEEEEEE
Answer:
1.7 pounds
Step-by-step explanation:
7.9 - 6.2= 1.7
please help me to find this out i really really need help.
The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.
Give your answer correct to 3 significant figures.
Answer:
38.7°
Step-by-step explanation:
Let the angle we're looking for be called x.
Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.
tan(angle)=opposite/adjacent
tan(x)=FD/FA
x=tan⁻¹(12/15)=38.6598082541°≈38.7°
Therefore, the length of the angle be [tex]x=38.65[/tex] degree.
What is the trigonometry?
Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here given that,
Let the length of the angle be [tex]x[/tex].
Consider Δ[tex]ADF[/tex]
which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].
So,
tan(x)=Perpendicular / Base
i.e.,
[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]
Hence, the length of the angle be [tex]x=38.65[/tex] degree.
To know more about the trigonometry
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Express the null hypothesis and the alternative in symbolic form. Use the correct symbol (μ, p, σ ) for the indicated parameter.
An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.
A. H0:p<0.0016
H1:p≥0.0016
B. H0:p=0.0016
H1:p<0.0016
C. H0:p=0.0016
H1:p>0.0016
D. H0:p>0.0016
H1:p≤0.0016
Answer:
A. H0:p<0.0016
H1:p≥0.0016
Step-by-step explanation:
An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation.
This means that the null hypothesis is that the proportion is less than the proportion explicited, that is:
[tex]H_0: p < \frac{16}{10000}[/tex]
[tex]H_0: p < 0.0016[/tex]
At the alternate hypothesis, we test if the claim at the null hypothesis is wrong, that is, if the proportion is equals or more to this value. So
[tex]H_1: p \geq 0.0016[/tex]
The correct answer is given by option A.
The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4
Answer:
C: 3
Step-by-step explanation:
The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.
Please look at the images below. (I will mark you as Brainliest if you are correct!)
Answer:
ima say its a that is my lucky guess im sorry if you get it wrong
How much simple interest is earned on $4,000 in 3 1/2 years at an interest rate of 5.2%?
Answer:
$728
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
I = (4000)(0.052)(3.5)
I = 728
Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.
What is Simple Interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Here, Principal = $ 4000
Time = [tex]3\frac{1}{2}[/tex] years = 7/2 years = 3.5 years
Rate = 5.2 % = 0.052
Now, SI = P.R.T/100
SI = 4000 X 3.5 X 5.2 / 100
SI = $ 728
Thus, Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.
Learn more about Simple Interest from:
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3) A Diplodocus was a 90 ft. long plant-eating dinosaur. The Triceratops was 28 ft. long plant- eating dinsoaur. How many INCHES longer was the Diplodocus than the Triceratops?
Answer:
The Diplodocus was 744 in longer than the Triceratops.
Step-by-step explanation:
90 ft = 90 * 12 = 1080 in
28 ft = 28 * 12 = 336
1080 in - 336 in = 744 in
15–80÷4^2×2 as a expression using the order of operations.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Do PEMDAS}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\mathsf{15 - 80\div4^2\times2}[/tex]
[tex]\mathsf{4^2}[/tex]
[tex]\mathsf{= 4\times 4}[/tex]
[tex]\mathsf{= \bf 16}[/tex]
[tex]\mathsf{15 - 80\div16\times 2}[/tex]
[tex]\mathsf{80\div16}[/tex]
[tex]\mathsf{= \bf 5}[/tex]
[tex]\mathsf{15 - 5\times2 }[/tex]
5 × 2 = 10
[tex]\mathsf{15 - 10}[/tex]
[tex]\mathsf{= \bf 5}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I need the answers plsss. I will mark brainiest.
Answer:
number 1 is true
Step-by-step explanation:
Find the distance between the two points. (2, 4), (7, 2)
Answer:
5.38516480 or √ 29
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5.385165 or sqrt 29
Step-by-step explanation:
d = distance
d= sqrt (7-2)^2+(2-4)^2
and when simplified fully you get
sqrt or 5.385165
hewp pwease ☺️thanks
The Answer Is 35 Inches Squared
The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.
⚠️ PLEASEEEE HELPPPPPP !!!!!
Answer:
Where is the pic
Step-by-step explanation:
How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
and a height of 18 meters?
(A) 162 cubic meters
(B) 24 cubic meters
(C) 324 cubic meters
(D) 108 cubic meters
Answer:
A
Step-by-step explanation:
because when you multiply 3x3 (the base) times 18(the height) you get= 162
Write as algebraic sum
(a+b)(2b-a)=
Apply the distributive property.
=a(a−2b)+b(a−2b)
=a2−2ab+ba−2b2
=a2−ab−2b2.
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
GIVING 50 POINTS IF YOU ANSWER!!!!
Answer:
MAD would be more similar than mean
Step-by-step explanation:
Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!
I will mark branliest if correct
Answer:
The answer is: y = - |x+1|+1
You have $5. You pay someone $3. You receive a gift of $4.
Can u give me the steps to this problem? What should I do first? Please please
Plz need help fast.....
Answer:
See Below
Step-by-step explanation:
1: -9 Take the Square Root of 81 and then multiply by -1.
2: +- 1/3 1/3 *1/3= 1/9
3: -1 -1*-1*-1 = -1
Have a Great day!
The box-and-whisker plot shows the
number of miles run per week by the
members of a running club.
What is the range of the data?
Answer:
18
Step-by-step explanation:
range= max-mini
21-3=18
The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day.
Which statement is supported by the information in the dot plots?
A) The mean of the data for Store 1 is greater than the mean of the data for Store2
B) The mode of the data for Store 2 is greater than the mode of the data for Store1
C) The median of the data for Store 2 is greater than the median of the data for Store1
D) The range of the data for Store 1 is greater than the range of the data for Store2
Answer:
A
Step-by-step explanation:
since mean is the most annoying to calculate I went through and did everything else, the range is the same as both charts go 0-6. The median is is the middle number which means store 1 has a higher number of 3' s but our option says store 2 is greater and B is the mode, the number that shows up the most.
Factorise the following completely: (4 marks)
a)a) 81
Answer:
Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers