Answer:
4(4x + 3y)
Step-by-step explanation:
Given expression: 16x + 12y
Factors of 16: 1, 2, 4, 8, 16
Factors of 12: 1, 2, 3, 4, 6, 12
Therefore, the greatest common factor of 16 and 12 is 4.
As the expression has two variables, the variables cannot be factored.
Therefore, factored expression: 4(4x + 3y)
16x+12y
Factor each
16x=4×4x12y=4×3yTake 4 common as GCF
16x+12y4(4x+3y)What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
48
Step-by-step explanation:
Blood Types A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as
those in the general population. The distribution for the gendral population is as follows: type A, 22%; type B, 28%; type o,
38%; and type AB = 12%. He selects a random sample of 50 patients and finds the following: 11 have type A blood, 9 have type
B, 24 have type o, and 6 have type AB blood.
At a=0.10, can it be concluded that the distribution is the same as that of the general population? Use the critical value method
with tables.
We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.
Let's set up the null and alternative hypotheses:
Null hypothesis:
The distribution of blood types in hospital patients is the same as that of the general population.
Alternative hypothesis:
The distribution of blood types in hospital patients is different from that of the general population.
We can use a chi-squared test to test the hypothesis.
First, we need to calculate the expected frequencies for each blood type based on the general population distribution:
Expected frequency of type A = 50 x 0.22 = 11
Expected frequency of type B = 50 x 0.28 = 14
Expected frequency of type O = 50 x 0.38 = 19
Expected frequency of type AB = 50 x 0.12 = 6
Next, we can calculate the chi-squared statistic:
[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]
The degrees of freedom for the test is (4 - 1) = 3.
Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.
Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.
Thus,
We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.
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(17x + 4y) + (48x + 21y)
A.65x + 25y
B.21x + 25y
C.65x + 38y
D.21x + 38y
[tex](17x+4y)+(48x+21y)[/tex]
Simplify:
(1) Combine like terms
[tex]17x+4y+48x+21y[/tex]
[tex]65x+4y+21y[/tex]
(2) Combine like terms
[tex]65x+4y+21y[/tex]
[tex]65x+25y[/tex]
Solution:
[tex]A) 65x+25y[/tex]
Answer:
[tex]65x+25y[/tex]
Step-by-step explanation:
[tex](17x + 4y) + (48x + 21y)[/tex]
[tex]17x+4y+48x+21y[/tex]
[tex]17x+48x+4y+21y[/tex]
[tex]65x+4y+21y[/tex]
[tex]65x+25y[/tex]
The amount of money that college students spend on food each week during the academic year is normally distributed with
a mean of $31.28 and a standard devitation of $11.42.
What is the probability that one randomly selected student will spend less than $25 per week on food?
If you randomly select 10 students, what is the probability that their mean will be less than 525?
Answer:
~ 70 %
Step-by-step explanation:
(31.28 - 25)/ 11.42 means 25 is .5499 S.D. below the mean
z -score = .7088
70.88 % chance of less than = 25 dollars
The required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
a) X = 25 , μ = 31.28 and σ = 11.42
[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{11.42}\\z = -0.5499[/tex]
Using z score
Now a probability that one randomly selected student will spend less than $25 per week on food is given.
P(x<25) = p(z = -0.5499)
= 0.2911
b) number of sample = 10
standard deviation = 11.42/√10
= 3.611
Herr,
[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{3.611}\\z = -1.7444[/tex]
Probability (x<25) = p(z = -1.7444)
Using the Z score table,
Probability (x <25) = 0.040
Thus, the required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.
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This is the last question I promise V3 (this is the third time I asked this question
Answer:
Step-by-step explanation:
what is it that makes this seem difficult?
90° the hands make a right angle? correct?
30° the hands are close together
60° the hands are farther than 30 but closer than 90
150 ° the hands are farthest apart
24-6/3*2+1 = how is this calculated
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
To the nearest degree x is equal to 61.1 degrees.
Step-by-step explanation:
use the trig function cosine.
Cos(theta) = adjacent/hypotenuse.
Let x be the unknown angle in the diagram.
Adjacent = 3
Hypotenuse = 6.2
Cos(x) = 3/6.2
x = [tex]Cos^-1(\frac{3}{6.2})[/tex] (you have to do cos inverse to find x)
X = 61.1
Ricky is 11 years old. Mel and Kim are both five years older than Ricky. Jaz is 29 . What is the mean of their ages?
Answer:
18 years
Step-by-step explanation:
The average of 4 ages:
(11 + 16+16 + 29 )/4
Answer:
The mean of their ages is 18.
Step-by-step explanation:
11 + 16 + 16 + 29 = 72
72 ÷ 4 = 18
8.
60 fifth-grade students participating in
an event. The students will be put into
groups among their own grade and into
the largest possible equal groups with no
students left over. How many students will
be in each group?
A.
2
po
B. 3
C.
6
D. 12
Answer:
c.6
Step-by-step explanation:
6 is the gcf between 42 and 60
Answer:
it'll be 6
Step-by-step explanation:
6*5 so 5 groups of 6
Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough
Answer:
"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.
So if he's got 10 quarts, that means 2 and a half gallons.
Step-by-step explanation:
A computer is used to generate passwords made up of numbers 0 through 9 and lower case letters the computer generated 400 passwords one character at a time a uniform probability model is used to predict the character in the password what is the prediction of the number of passwords in each the first character is a vow round your answer to the nearest whole number 56 passwords 77 passwords 111 passwords 233 passwords
Answer:
56
hope it helpes if you could give me brainliest so i could level up
The area of a rectangle is 45 square inches. The length of the rectangle is 6 inches.
What is the width of the rectangle?
Enter your answer as a mixed number in simplest form in the box.
inches
Step-by-step explanation:
the area of a rectangle is
length × width.
so, we have here
45 = 6 × width
width = 45/6 = 15/2 = 7.5 in = 7 1/2 in
Please help meeeee!!
Michelle bought 3000 shares of a stock at $24 per share. The company paid annual
dividends of $0.42 per share. What is the total annual dividend?
Answer:
$ 12.60
Step-by-step explanation:
30 shares × $ 0.42 = $ 12.60
Answer:
$1,260
Step-by-step explanation:
3000 x .42 = 1260
13-28 Sketch the region enclosed by the given curves and find its area.
19. [tex]y=\cos \pi x, \quad y=4 x^{2}-1[/tex]
Answer:
Area (A) 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
making x the subject; then:
The subdivision of the domain is in two intervals
where;
Area (A) =
Area (A) = 0.06818
Area (A) 0.0682
A company surveyed all of the employees in their Columbus, Ohio office,
one of their six national offices. Based on the survey they determined that
72% of all employees were satisfied with their job. Which of the following
explains why this is NOT a random sample?
A. They only surveyed people who had been at their job for five years or
more.
B. They did not survey employees in other offices around the country.
C. The survey was conducted electronically.
D. The survey had a time limit.
Answer:
B. They did not survey employees in other offices around the country
Step-by-step explanation:
1. A random sample is when you randomly choose options from the whole list. In this case, they make it clear that there are other offices. They didn't give a chance to the rest of the offices to take a survey.
2. Surveying "all" the employees is not what a random sample is. A random sample is supposed to help make it more distributed among the people you survey. Making all of them take it in a cluster is not random.
3. The other choices don't make sense because they don't mention anything about them: nothing about the employees working 5 years, nothing about it being conducted electronically, and nothing about a time limit.
Solve the system of equations. y=4x+5y=x2+12x+20
Answer:
[tex]\begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:the\:equations}[/tex]
[tex]y=x^2+12x+20[/tex]
[tex]y-y=x^2+12x+20-\left(4x+5\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]0=x^2+8x+15[/tex]
How you do this pls help
Answer:
why do ask the question which answer is given below
a small pizza has a diameter of 8 inches what is the circumference
Answer:
Given :-
Diameter of Pizza is 8 inches , radius = 4 inchesTo find :-
Circumference of Circular pizzaSolution :-
Formula for circumference of Circular pizza = 2πrPutting the known values
Circumference = 2 × 3.14 × 4
Circumference = 25.12 cm
In AFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of LF to the
nearest degree.
Answer:
∠F ≈ 74°
Step-by-step explanation:
The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.
__
f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F
cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)
F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F
F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)
∠F ≈ 74°
Find the missing side or angle.
Round to the nearest tenth.
C=95°
b=6
a=5
c=[?]
No diagram is visible!
You might have to repost the question again.
Answer: For the acellus people its 8.1
Step-by-step explanation:
I will give Brainliest!!! :D
A farmer sells eggs at a market. She offers three different sizes. For any size, the weight of each egg can vary up to 8%.
Calculate the missing values.
Is it possible for an egg to be both large and extra large?
Explain.
answers:
medium-41.4,48.6
large-55,59.4
extra large-62,57.04
yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large
The missing values for Medium egg are 41.4g, 48.6g
for large eggs are 55g, 59.4g,
and extra large eggs are 62g, 57.04g.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given table for size and weight of eggs and the weight of each egg can vary up to 8%.
for Medium eggs Advertised weight = 45 g
lightest weight = 45 - 8% of Advertised weight
because Advertised weight is average of lightest weight and heaviest egg weight,
lightest weight = 45 - 45(0.08)
lightest weight = 41.4 g
heaviest egg weight = 45 + 8% of Advertised weight
lightest weight = 45 + 45(0.08)
lightest weight = 48.6 g
missing values for medium egg = 41.4g and 48.6g
For Large egg
lightest weight = 50.6
Advertised weight = 50.6 + 8% of lightest weight
Advertised weight = 50.6 + 50.6(0.08)
Advertised weight = 54.9 = 55g
heaviest egg weight = 55 + 8% of Advertised weight
heaviest egg weight = 55 +55(0.08)
heaviest egg weight = 59.4g
missing values for large egg = 55g and 59.4g
For Extra large egg
heaviest egg weight = 66.96 g
Advertised weight = 66.96 - 8% of heaviest egg weight
Advertised weight = 66.96 - 66.96(0.08)
Advertised weight = 61.6 = 62 g
lightest weight = 62 - 8% of Advertised weight
lightest weight = 62 - 62(0.08)
lightest weight = 57.04 g
missing values for extra large egg is 62g and 57.04 g
Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.
Hence the missing values are,
Medium egg are 41.4g, 48.6g
for large eggs are 55g, 59.4g,
and extra large eggs are 62g, 57.04g.
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Which of the lines is a line of symmetry for the hexagon?
A.
PQ and LM
B.
JK and NO
C.
JK only
D.
all of the lines
Answer: the answer is b which is line NO and line JK
Step-by-step explanation: one line is vertical and the other is horizontal . Both lines make the sides equivalent and equal , so they make a symmetry . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS ..
Answer:
The Correct Answer is B.JK and No.
Hope it helps you Czn.
Please Mark me as Brainleast!!!!!!
Pls I need help with this one
Step-by-step explanation:
formula=⅓πr×r
⅓ * 22/7 * 4*4
1056/21
=50.285
approximately=50.3
I suck at angles (why is there no subject for shapes and angles or whatever)
Answer: D. 45 degrees
Step-by-step explanation:
A circle is equal to 360°
360° divided in half is 180°.
180° divided in half one more time is 90°
A second time is 90° / 2 = 45°
The angle created is D. 45 degrees.
The population of a city has decreased by 38% since it was last measured. If the current population is 40,300, what was the previous population.
Answer:
65,000
Step-by-step explanation:
100-38 is 62%
40,300 is 62% of whatever x is
40,300*100= 4,030,000
4,030,000/62=65,000
What is the median of the data represented in the dot plot below?
Answer:
11
Step-by-step explanation:
organize it:
10, 10, 11, 11, 11, 11, 12, 12, 13
the number in the middle of the order is the median, in this case the median would be 11.
Having trouble with this, help please?
I will give brainliest.
Answer:
a) [tex]7x-15=20[/tex]
b) [tex]\frac{20+15}{7}[/tex]
c) 5
Step-by-step explanation:
Kalinda is sewing a binding to all of the edges of her blanket The blanket is 137 centimeters wide by 188 Centimeters long the banding is sold in packages of 2.3 meters How many packages will Kalinda need to buy?
Answer:
1.37+1.37+1.88+1.88= 6.5
6.5/2.3=2.8packages. approximately 3
The parts of a solid are faces, vertices and __________.
Answer:
edges
Step-by-step explanation: