By using properties of triangle, it can be calculated that-
t = 60°
u = 8
What is a triangle?
A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.
Based on the sides of a triangle, triangle may be classified as equilateral, isosceles and scalene
Triangle whose all three sides are equal is called equilateral
Triangle whose two sides are equal is called isosceles
Triangle whose all sides are unequal is called scalene
Here,
[tex]\angle[/tex]FGE = 90°
[tex]\angle[/tex]GFE = 30°
[tex]\angle FEG[/tex] = 180 - (90 + 30)
= 180 - 120
= 60°
t = 60°
Since FE = HE and [tex]\Delta[/tex]FGE and [tex]\Delta[/tex]FGE are right angle triangles,
So FG = FH
u = 8
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The PTA at Central High School is concerned that students who graduate from the school do not score well on mathematics achievement tests, on average, as to students from other schools in the district. The mean score for students in the larger school district is 98. The school principal randomly selects 15 students from the graduating class and administers the standardized mathematics achievement test. The scores of the 15 students from Central High are as follows:
105, 98, 101, 110, 96, 103, 104, 101, 98, 105, 112, 95, 105, 100, 108
(a) Formally state the hypothesis necessary to conduct a non-directional test.
(b) Complete the test at the 05 level of significance, and state your conclusions in English.
(c) Construct and interpret the 95% confidence interval around the sample mean.
(d) Compute the effect size Hedge's g
Answer:
Step-by-step explanation:
Sample scores : 105, 98, 101, 110, 96, 103, 104, 101, 98, 105, 112, 95, 105, 100, 108
Sample mean, xbar = 102.73
Standard deviation, s = 4.98
H0: μ = 98ttt
H1 : μ ≠ 98
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(102.73 - 98) ÷ 4.98 / sqrt(15)
t = 3.655
Pvalue from t score = 0.002599
When. Pvalue < α ; We reject the Null
We can conclude that significant evidence exists that average performance of students is not
Please answer asap. NO SCAM LINKS.
Can someone help me pls
Answer:
I’m not sure what the question is asking, the picture is blurry, Nassiya.
Step-by-step explanation:
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. T
oday 5 Years Ago Mean 82 88 Variance 112.5 54 Sample Size 45 36
The standard deviation of the difference between the means of the two populations is
A) 12.9
B) 9.3
C) 4
D) 2
Answer: D) 2
Step-by-step explanation:
The standard deviation of the difference between the means of the two populations is given by:-
[tex]S.E.=\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}}}[/tex]
where [tex]n_1[/tex]= sample size of population 1
[tex]n_2[/tex]= sample size of population 2
[tex]\sigma^2_1[/tex]= variance of population 1
[tex]\sigma^2_2[/tex]= variance of population 2
As per given,
[tex]S.E.=\sqrt{\dfrac{112.5}{45}+\dfrac{54}{36}}}\\\\=\sqrt{4}\\=2[/tex]
Hence, the correct option is D) 2.
Compute z-score. Given ~ n(12,2.5),find z score when x =17
Answer:
The desired z-score is 2.
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.
n(12,2.5)
This means that [tex]\mu = 12, \sigma = 2.5[/tex]
z score when x =17
This is Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 12}{2.5}[/tex]
[tex]Z = 2[/tex]
The desired z-score is 2.
please help and i’ll gift brainly!!!! thank you!
A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random. Which color is likely to be chosen? Pls help
A.red
B.green
C.yellow
D.blue
I need to help me with this problem I'm not sure what I'm supposed to do.
Consider a point with rectangular coordinates (x,y).
If x<0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2and:
r=
θ=
If x≥0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2 and:
r=
θ=
Answer:
1.24
Step-by-step explanation:
i subtracted 1-1
A spinner is shown below. What is the probability of the spinner
not landing on a striped section?
Answer:
[tex] \frac{7}{8} [/tex]
tell weather the fractions are equlivent
Answer:
Step-by-step explanation:
hello :
the fractions a/b and c/d are equlivent if : ad =cb
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
-48/24 simplified version is -2
Step-by-step explanation:
Answer:
-60
Step-by-step explanation:
-8×5 = -40
-40/4 = -10
-10×6 = -60
Pls help on this question and no bitly please. Also 15 points
Answer:
B
Step-by-step explanation:
elimination
4x - y = 8
6x + y = 2
--------------- +
10x = 10
x = 1
since x = 1, we can subtitute x to one of those equations
4x - y = 8
4(1) - y = 8
4 - 8 = y
y = 4 - 8
y = -4
x,y = 1,-4
Answer:
B is correct
Step-by-step explanation:
you add the two equations together. So 4x + 6x equals what? 10x. we know that y and -y cancel each other out. and then we all know that 8+2 is 10. now we have 10x=10 so x=1. We replace x for one and then we have 4 - y =8 so y has to equal -4 and there you have your answer, b
How to Split 2 loaves of bread equally between 7 people
Answer:
I would divide each loaf into 4 pieces, which gives eight. There would be one piece left over.
Step-by-step explanation:
Diego and Luke weigh a combined 95 pounds. If Diego weighs 1.5 times as much as Luke does, how much does Luke weigh, in
pounds?
Answer:
38 pound
STEP BY STEP
Look at the picture, for the problem
Step-by-step explanation:
frist ordering the data
4,4,4,5,6,7,7,7,10,11 then
3. the most common ages are 4& 7
4. the range = high - low so 11 - 4 =7
5.the median is Nth/2 + Nth/2 +1 then
10th/2 +10th/2 +1
(5th +6th)/2 = median
(6 +7)/2 =13/2 = 6.5 is the median of children
solve the quadratic equation
y^2 −10y+21=0
y=?
Answer: y = 3 or y=7
Step-by-step explanation:
[tex]y^{2} -10y+21[/tex]
what 2 factors of 21 can equal 10 when added together (1*21- no 3*7- yes)
Factor
[tex](y-3)(y-7)[/tex]
y-3=0
y=3
or y-7=0
y=7
Mike borrowed some money for 2 years at 8% simple interest. If he had to pay back a total of $4060 how much did he borrow, how much did he originally borrow?
Answer:P = $ 25,375.00
Step-by-step explanation:
P = 4060 / ( 0.08 × 2 ) = 25375
P = $ 25,375.00
How can 5 children share 3 cookies equally?
You borrowed 43,800 at a SIMPLE interest rate of 4.8%. If you pay it back in 2 years, how much
Interest is paid pack?
Answer:
I = $4204.8
Step-by-step explanation:
Given that,
Principal, P = $43,800
Interest rate = 4.8%
Rate = 2 years
We need to find the interest that is paid back. We know that, simple interest is given by :
[tex]I=\dfrac{PRT}{100}[/tex]
Put all the values,
[tex]I=\dfrac{43800\times 4.8\times 2}{100}\\\\=\$4204.8[/tex]
So, the required interest is equal to $4204.8 .
The ‘peak’ of a transverse wave is call the
Answer:
λ
Step-by-step explanation:
Im stuck only answer if your 100% sure. Will Mark Brainliest. ( Look at the picture for the problem.
Answer:
[tex]3x^2(5y^2-xy+25x^2)\\[/tex]
Step-by-step explanation:
[tex]15x^2y^2-3x^3y+75x^4\\\\3x^2(5y^2-xy+25x^2)\\[/tex]
3x² is the only facor with all 3 of the terms.
Which shows the expressions in the order they would appear on a number line from least to greatest? a 2 to the power of 3, square root of 5, square root of 20, square root of 11, 11 over 9 b 2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11 c 11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3 d 11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11
Answer:
It's C, I just wrote it out.
What percent of values is between the first and third quartiles?
its question 4
Answer:
answer
Step-by-step explanation:
5%
.......................
What is the slope of y = x + 5?
Answer: look at the picture and I can’t solve y for you.
Step-by-step explanation: Hope this help :D
What’s the answer to this math problem
Answer:
The answer is C
Step-by-step explanation:
48/112 = 0.4285
convert and round it
0.4285 = %42.9
The percent of the 7th grade students were in favor of wearing school uniforms is 42.9%.
From the given table,
7th grade students who are in favor of wearing uniform = 48
Total 7th graders = 112
So, the percent of the 7th grade students were in favor of wearing school uniforms
= 48 / 112 x 100
= 12 / 23 x 100
= 42.85%
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write an equivalent expression for -5 ( 3 - 2x ) , if you help I’ll sent 5$ via PayPal or whatever you use. Thanks.
Answer: 10 x - 15
Step-by-step explanation:
a number divided by 22 .?
A)22/x, B)22+x, C)x/x-22, D)x/22
Answer:
D
Step-by-step explanation:
Let the number be n. Then "a number divided by 22" would be n/22 (Answer D)
The number divided by 22 can be written as x / 22, so option D is correct.
What is division?It is a fundamental operation in mathematics where you divide a number into smaller parts.
Given:
A number divided by 22,
Here, the divisor = 22
Assume the number is x
Then, dividend = x
Thus, expression can be written as,
dividend/divisor = x / 22
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any app where I can take pics of WORD PROBLEMS and get answers
Answer:
well I know one you can try SOLVEITNOW
you can also try MICROSOFT MATH SOLVER
or CYMATH-MATH PROBLEMS SOLVER
A group of students were asked the kinds of pets they owned. The data is
represented in the graph below.
Type of Pets
11.1:
Cat Dog Bird Horse
Hamster Other
Formulas
Which statement below does NOT accurately describe the data represented in the graph?
A)
More than 50% of students surveyed own a cat or dog.
Highlight
Time
Remaining
00:19:05
Hide Tools
B)
20% of students surveyed have a hamster.
C)
The mode of the data is cat.
D)
Just over 10% of students have a bird.
?
Answer:
D) Just over 10% of students have a bird.?
Use 120 + 20 + M = 180 and A = 1/2bh f
Answer:
Step-by-step explanation:
Answer 1
Answer = 40 degreesAnswer 2
Area = 1/2 * 6 * 11
=> 33 unitsMark as brainliest for further answers :)