Answer:
P(X < 126) = 0.0418
Step-by-step explanation:
To solve this question, we use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Sample of 203, 67.5% of the U.S. population were born in their state of residence.
This means that [tex]n = 203, p = 0.675[/tex]
So, for the approximation:
[tex]\mu = E(X) = np = 203*0.675 = 137.025[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{203*0.675*0.325} = 6.67[/tex]
What is the probability that fewer than 126 were born in their state of residence?
Using continuity correction, this is P(X < 126 - 0.5) = P(X < 125.5), which is the pvalue of Z when X = 125.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125.5 - 137.025}{6.67}[/tex]
[tex]Z = -1.73[/tex]
[tex]Z = -1.73[/tex] has a pvalue of 0.0418
So
P(X < 126) = 0.0418
Calculate the unit price per square foot for each of the flooring types listed above. Which flooring type costs the least per square foot?
a. carpet: $375 for 100 square feet
b. laminate: $340 for 80 square feet
c. vinyl: $402 for 120 square feet
Answer:
Vinyl
Step-by-step explanation:
The cost per square foot are is obtained by :
Total cost / total number of square feet
a. carpet: $375 for 100 square feet
Cost per square foot = $375 / 100
= $3.75 per sq ft
b. laminate: $340 for 80 square feet
Cost per sq ft = $340 / 80
= $4.25
c. vinyl: $402 for 120 square feet
Cost per sq ft = $402 / 120
= $3.35
Arranging from least to highest
Vinyl < carpet < laminate
Answer:
vinyi
Step-by-step explanation:
Elijah's puppy weighs 20 ounces. If he weighed 15 ounces at the last visit to the veterinarian's office, what is the percent increase in the puppy's weight rounded to the nearest whole number?
Answer:
The percent increase in the the puppy's weight is 84%
Step-by-step explanation:
Field 0.45 kilo long and 0.4 kilo wide. What is the area in square meters
Answer:
180000
Step-by-step explanation:
Answer:
180.000 m^2.
Step-by-step explanation:
Area in square kilometers
= 0.45 * 0.4
= 0.18
There 1000* 1000 = 1,000,000 square meters in a square kilometer so
Area in sq meters = 0.18 * 1000000
= 180,000 m^2.
Aaron was
making fruit punch for his study group. He used 6 cups
of orange juice, 11/2 cups of lemon juice and 3/4 cups
of pineapple juice. How many total cups of liquid did
Aaron mix altogether?
Answer:
12 1/4 cups
Step-by-step explanation:
11/2 = 5.5 cups
5.5 + 3/4=6.25 (which is basically,6 1/4)
6 1/4 + 6 = 12 1/4 cups
Find the function value f(3) if
f (h) = 4h – 3
Answer:
f(3) would be 9 in this case.
Step-by-step explanation:
To find the value f(3) if f(h) = 4h - 3, substitute h for 3.
f(3) = 4(3) - 3
Multiply 4 by 3 to get 12.
f(3) = 12 - 3
Subtract 3 from 12 to get 9.
f(3) = 9
f(3) would be 9 in this case.
A Four-digit number is divided by a 35 and has a remainder of 15. The first three digits of the number 155. What is the fourth digit of the number
Answer:
the last digit is 5
Step-by-step explanation:
What is 1/4 of a full rotation?
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers
are stars. Select 2 statements that are true.
A.Katarina has 100 heart stickers.
B.Katarina has 375 star stickers.
C.The package contains 20 sheets of stickers
3
D.75% of the stickers are stars.
E.The number of heart stickers is the same as the number of star stickers
The correct statement are;
B. Katarina has 375 star stickers.
D. 75% of the stickers are stars.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.
Now,
Since, Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.
Hence, The number of hearts = 25% of 500
= 25/100 × 500
= 25 × 5
= 125
And, Number of stars = 500 - 125
= 375
= 75% of 500
Thus, The correct statement are;
B. Katarina has 375 star stickers.
D. 75% of the stickers are stars.
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Earning an A in algebra this semester is an example of:
A. a long-term goal.
B. a short-term goal.
C. an instant goal.
D. a short-term commitment.
SUBMIT
Earning an A in algebra this semester is an example of (A) a long term goal.
One of the many branches of mathematics is algebra, which means "reunion of shattered pieces, setting of bones" in Arabic. Algebra, which is a common thread throughout practically all of mathematics, is essentially the study of mathematical symbols and the rules for using them in formulas.
Since all mathematical applications involve manipulating variables as though they were numbers, elementary algebra is a prerequisite. The study of algebraic structures like groups, rings, and fields is referred to as abstract algebra, primarily in educational contexts (the term is no more in common use outside educational context). Modern presentations of geometry include linear algebra, which deals with linear equations and linear translations, and has numerous real-world applications (in weather forecasting, for example).Since there are a wide variety of application for Algebra in our day-to-day lives and in the modern sciences, so a good score in Algebra will not only get a good score for the results but also help learn valuable information for the future. Hence it is a long-term goal.
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Please answer this correctly without making mistakes
9514 1404 393
Answer:
3 tablespoons, 2 teaspoons
Step-by-step explanation:
A tablespoon is 3 teaspoons, so 62 tablespoons is 3×62 = 186 teaspoons. One teaspoon added to that gives a total of 187 teaspoons.
Dividing 187 by 17, we get ...
(187 tsp)/17 = 11 tsp
Of course, 11 tsp is 3×3 +2 tsp = 3 tbsp + 2 tsp
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin? Write a systems of equations first, let x=Erin's age and y=Alex's age
Answer:
X = 15 = Erin's age
Y = 18 = Alex's age
Step-by-step explanation:
X = Erin's age
Y = Alex's age
33 (combined ages) - 3 (how many years Erin is younger than Alex) = 30
30 ÷ 2 = 15
15 + 0 = 15 (Erin's age)
15 + 3 = (Alex's age)
X = 15 = Erin's age
Y = 18 = Alex's age
Check if I'm correct:
15 + 18 = 33
Sorry if wrong! Plz mark brainiest if correct :D Have a great day luv <3
-Bee
Evaluate. 4y+8 , and y=6
Answer:
32
Step-by-step explanation:
4y + 8 and y = 6 ( plug in 6 to y )
4 x 6 + 8
24 + 8 = 32
(12p-5q^2-q)-(q^2-8q+9q^2)
Answer:
Hope this picture helps Plzz vote brainliest
Step-by-step explanation: When u simplify the answer is
I need help ASAP please I’m giving brainliest!
Can somebody help me outt pleaseee ???
Answer: a= 187.5 m squared
Step-by-step explanation: a=ab/2
Answer:
187.5
Step-by-step explanation:
times 25 and 15 = 375
375 divided by 2 = 187.5
pls help me i need it pls
Answer:
1) 12
2) 23
3) 95 with a reminder of 1
4) 30
5) 50 with a reminder of 4
6) 31
Step-by-step explanation:
Answer:
1)12
2)23
3)22
4)30
5)19
6)31
5/9 ÷ 2/3
PLEASE HELP I AM ACTUALLY NOT SMART
Answer:
5/6
Step-by-step explanation:
=5/9 * 3/2
simplify
5/3 * 1/2
=
5/6
Can someone give me the answer please 4(2x-3)=5x+7
Step-by-step explanation:
x=6.33333
the three just continue so u can keep it x=6.3
What is the equation of a line with a slope of 3 and contains
point (4.1)
Answer:
y = 3x - 11
Step-by-step explanation:
y=mx+b
1=3(4)+b
1=12+b
b=-11
Answer:
y = 3x –11
or 3x – y = 11 Standard form
Explanation:
using slope-intercept form, calculate b
1 = 3(4) + b
1= 12 + b
1 –12 = b
–11 = b rewrite the equation using this value.
y = 3x –11
Work out the percentage change when a price of £40 is increased to £70.
Answer:
75%
Step-by-step explanation:
70-40 = 30
30/40 = 0.75
0.75 = 75%
Find the value of the expression below if I = 10.
z? – 2 (x + 5) =
Answer:
10
Step-by-step explanation:
z−2(x+5)=
Use the distributive property to multiply −2 by x+5.
z−2x−10
Determine whether (8,1) is a solution of y = 13x – 6.
5. Atype of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
a Find a mixture that will make the same shade of green but a smaller amount.
Answer:
2 and 4 ,1 and 3
Step-by-step explanation:
you just subtract some amount from one number and add to another
Which fraction and decimal forms match the long division problem?
9) 2.000
18+
20
181
20
18
2
O A.
and 0.2
O
OB.
and 0.222
O c.
and 0.2
O D.
and 0.2
Answer:
Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?
Step-by-step explanation:
Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?
Please answer this correctly without making mistakes
Answer:
5 cups
Step-by-step explanation:
1 pint = 2 cups
92 pints 1 cup =
= 92 * 2 cups + 1 cup
= 184 cups + 1 cup
= 185 cups
185 cups / 37 = 5 cups
Answer: 5 cups
9514 1404 393
Answer:
2 pints 1 cup
Step-by-step explanation:
1 cup is 1/2 pint, so we have ...
(92 1/2 pints)/37 = (185/2 pints)/37 = (185/74) pints = 2 37/74 pints
= 2 1/2 pints
= 2 pints 1 cup
3 + x, when the value of x is 15
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer:
x= -15
Step-by-step explanation:
I hope it's help you
Angle M has a measure between 0° and 360° and is coterminal with a –620° angle. What is the measure of angle M?
Answer:
100 or A
Step-by-step explanation:
i hope this is what you were looking for ;)
Can somebody please help me and give me the answer to example 2
Answer:
there is no question for example 2
Step-by-step explanation:
Is y=3(2)^x a linear or nonlinear function?
Answer: Nonlinear
Step-by-step explanation: Whenever a function has an exponent, it is usually a non-linear function.
What is a speed of 55 mph equivalent to in units of m/s? ( 1 mile = 1609 m, 1 hour = 3600 s)
9514 1404 393
Answer:
about 24.58 m/s
Step-by-step explanation:
Multiply by conversion factors that change the units, but not the value.
(55 mi/h) × (1609 m/mi) × (1 h)/(3600 s) = (55×1609/3600) m/s
= 88495/3600 m/s ≈ 24.58 m/s
_____
Additional comment
The exact conversion uses 1609.344 meters per mile, so gives exactly 24.5872 m/s.
