Answer:
8
Step-by-step explanation:
28/(5+2) = 4
4 * 2 = 8
The class has 20 boys and 8 girls
Please help me !!!!!!!!!!!!!
what is the equivalent fractions for 3/6 and 4/6
Answer: 1/2 and 2/3
Step-by-step explanation:
The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)
Answer:
The student made the first mistake in step 2.
Step-by-step explanation:
The work of a student to solve a set of equations first make an error in step 2 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z
Solving equation by elimination method
Step 1:
[Equation A is multiplied by −4.]
−4(y) = −4(4 − 2z)
Equation B: 4y = 2 − 4z
Step2:
[Equation A in Step 1 is simplified.]
-4y = -16 + 8z
Equation B: 4y = 2 − 4z
Step 3:
Both equation A and B is added
-4y = -16 + 8z
4y = 2 − 4z
=> 0 = -14 + 4z
Step 4:
4z = 14
z = 3.5
Hence, the work of a student to solve a set of equations first make an error in step 2 .
To know more about elimination method here:
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Trevor is going to a baseball game next Saturday with some friends. He has $50 to spend. His ticket will cost $15 and hot dogs will cost $2.75 each.
What is the greatest number of hot dogs he can buy for himself and his friends?
A.10
B.11
C.12
D.13
Answer:
C. 12
Step-by-step explanation:
50-15=35
35÷2.75=12.7272
Please need help thank
Answer:
1
Step-by-step explanation:
One member in the graph only went one time which is fewer than two times.
HELP PLS WUICK! GIVING OUT BRAINLIST
Answer:
27
reason:
did it recently
GEOMETRY!!! Will give brainliest
Answer:
circle
Step-by-step explanation:
pentru triunghiurile congruente ijk si lmn sau scris cate trei congruente ale elementelor acestora scrie congruentele lipsa
i am just doing this so I can get more answers
Step-by-step explanation:
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.19a. Describe the shape of the sampling distribution of the sample mean in this case.19b. Find the mean and standard error of the sampling distribution of the sample mean.19c. What is the probability that the mean age exceeds 73 years
Answer:
a) Approximately normal.
b) The mean is 75 years and the standard deviation is 0.8485 years.
c) 0.9909 = 99.09% probability that the mean age exceeds 73 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample of 50 retirees
This means that [tex]n = 50[/tex]
Mean age and standard deviation are 75 and 6 years
This means that [tex]\mu = 75, \sigma = 6[/tex]
a. Describe the shape of the sampling distribution of the sample mean in this case
By the Central Limit Theorem, approximately normal.
b. Find the mean and standard error of the sampling distribution of the sample mean.
By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]
c. What is the probability that the mean age exceeds 73 years?
This is 1 subtracted by the pvalue of Z when X = 73.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{73 - 75}{0.8485}[/tex]
[tex]Z = -2.36[/tex]
[tex]Z = -2.36[/tex] has a pvalue of 0.0091
1 - 0.0091 = 0.9909
0.9909 = 99.09% probability that the mean age exceeds 73 years
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Which equation can be used to find 55 percent of 900?
[tex] \frac{55 \times 1}{900 \times 1} = \frac{55}{900} \\ \\ \frac{100 \times 16.36}{55 \times 16.36} = \frac{1636}{899.8} \\ \\ \frac{900 \times 9}{100 \times 9} = \frac{8100}{900} \\ \\ \frac{55 \times 9}{100 \times 9} = \frac{495}{900} [/tex]
Answer: The last one
Just find it regularly by multiplying .55 by 900 to get the answer then choose the one that will give said answer.
Also eliminate the ones that are over 100% like the 2nd and 3rd one
Since its over 50% we know 55 isnt 1/2 of 900.
what is 3/10(x+2)=12
X=38
Hope I helped :]
Mrs jones uses 1/2 of a block of cheese to make packed lunches each day. how many days will 3 blocks of cheese last for?
Answer:
6 days
Step-by-step explanation:
Answer:
6 days
Step-by-step explanation:
1 day=1/2
2 day=1
3 day=1 and 1/2
4 day=2
5 day=2 and 1/2
6 day=3
hope this helps :)
Need help question #3. Show steps please
Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
3x = 42 solve for x show work plz
Answer:
14
Step-by-step explanation:
3x=42 d. b. s by 3
3x/3=42/3
x=14
the mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
I need the scale factor of this please, its due today:)
Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!
Step-by-step explanation:
Derek answered 42 out of 60 questions correct on the last test. What was his score as a percent?
Answer:
70%
Step-by-step explanation:
42/60 = 7/10
Find the area of the shaded polygons
Answer:
8
Step-by-step explanation:
you can find matches that make 1 and add them all up
Answer:
8 because of rsm
Step-by-step explanation:
Can y’all help me on a question 15?!
You are going on a long trip and wants to calculate your miles per gallon. When you start your trip your odometer read 91709 miles. At the end of your trip your odometer reads 91961 miles. You started with a full tank and to return you put 7 gallons of gas total. What is your miles per gallon?
Answer:
36 miles per gallon
Step-by-step explanation:
91961 - 91709 = 252 miles driven
252 miles / 7 gallons = 36 miles per gallon
A number greater than or equal to 41.
Answer:
42
Step-by-step explanation:
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PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
Sarah has 31.2 pounds of dog food. She divides the food into bags that will hold 5.2 pounds each.
How many bags will Sarah fill with dog food?
Answer: 6
Step-by-step explanation:u divide 31.2 and 5.2
Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
4 yd
5 yd
9 yd
Answer:30
Step-by-step explanation:
Ran has 17 cameras to clean. He cleans 10 cameras.Then rah finds 8 more cameras to clean. How many cameras does ran has to clean now?
Answer:
total of 25 to clean.
did 10
has 15 left
Answer: 15
Step-by-step explanation:
Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7
he finds 8 cams to clean... so we add 8+7... and it becomes 15...
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Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *
Pleaseee I need this now!
Answer:
54000 cube cm
Step-by-step explanation:
Let height be the height of the box kite,
Also the length of one face = 30 cm,
Hence, the total area of the kite box that is covered by the fabric
= 4 × Area of one face
= 4 × 30 × height
= 120 h
According to the question,
120 height = 7200
height = 60 cm
Hence, the height of the box = 60 cm,
The volume inside the kite = The base area of the box × Its height
= 30² × 60
= 900 × 60
= 54000 cm³
What is the lowest term of 75/60 as an improper fraction?
Answer:
The lowest term 75/60 as an improper fraction is 5/4.