Answers
Answer:
tan(E) =[tex]\sqrt{3\\}[/tex]
Step-by-step explanation:
Given: ED = 4[tex]\sqrt{6}[/tex] and CD = 6[tex]\sqrt{2\\}[/tex]
Step 1 : Find CE
ED² = CE² + CD²
(4√6)² = (CE)² + (6√2)²
96 = CE² + 72
24 = CE²
CE = 2√6
Step 2 : Find ∠E using side lengths
Based on our leg lengths : 6√2 & 2√6 , we can conclude that this is a
30-60-90 triangle (the sqaures are opposites yk)
Because 6√2 is the larger leg, and ∠E is opp side of CD,
∠E = 60
From there all you do is find the tangent with a calculator "tan(60)"
Related Questions
helppppp meeeeee the sum of the squares of three consecutive integer numbers is 1454. Find the numbers. but i found 21 22 and 23. you need to find the other set plzzz
Answers
Step-by-step explanation:
A=x
B=x+1
C=x+2
[tex] {x}^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454 \\ {x}^{2} + {x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 = 1454 \\ 3{x}^{2} + 6x + 5 - 1454 = 0 \\ 3 {x}^{2} + 6x - 1449 = 0 \\ {x}^{2} + 2x - 483 = 0 [/tex]
I'm sorry but I can't use the calculator, I hope this helps you anyway.
Answer:
The two sets would be 21,22,23 and -21, -22, and -23
Step-by-step explanation:
This is because a negative number squared would be positive.
So -21^2+-22^2+-23^2 would equal the same as 21^2+22^2+23^2 which would be 1454.
14. A researcher wants to know if the average price of a home in Salt Lake City is higher than the average home in the entire United States. If you know that the average home price in Salt Lake City is $450,000 and the average home price in the entire country is $425,000, please conduct the appropriate test to see if Salt Lake City is more expensive under the following two conditions: (make sure to state which test you are using - they should be different, your null and alternative hypotheses, your a level, the critical score for that test, your statistical conclusion based on the observed statistic, and the meaning of your statistical conclusion in words) a. when you are given the actual standard error of the entire population of the country to be $30,000. (25 points) b. when you are given the estimated population standard deviation of homes in Los Angeles to be $30,000 for 360,000 homes (25 points)
Answers
Answer:
25000
Step-by-step explanation:
bc the proof is solid
Evaluate the expression 4+√−9 and write the result in the form a+bi
Answers
Answer:
4 + 3i
Step-by-step explanation:
i = sqrt(-1)
sqrt(-9) = 3 * sqrt(-1) = 3i
The 4 remains the same
4 + 3i
Answer:
Step-by-step explanation:
4+√(-9) = 4 + √9√(-1)
= 4 + 3i
Please help me with this
Answers
Http/b263849
If right I’ll mark brainiest need ASAP
Answers
Answer:
The answer is 8
Answer:
16 inches
Step-by-step explanation:
First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.
Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.
Assume that all grade-point averages are to be standardized on a scale between 0 and 6. How many grade-point averages must be obtained so that the sample mean is within 0.013 of the population mean? Assume that a 98% confidence level is desired. If using the range rule of thumb, σ can be estimated as range/4=(6-0)/2=1.5. Does the sample size seem practical?
Answers
Answer:
The sample size 'n' = 72,030
Step-by-step explanation:
Step(i):-
Given that the Estimate Error = 0.013
Given that the standard deviation of the Population = 1.5
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
Step(ii):-
Given that the Level of significance = 0.98 or 0.02
Z₀.₀₂ = 2.326
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
[tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]
Squaring on both sides, we get
n = 72,030
Final answer:-
The sample size 'n' = 72,030
PLZ HELP
1
9 in.
ALGEBRA
5 in.
15 in.
What is the volume of the shoebox shown above in cubic
inches (in.3)?
29
75
675
510
Answers
Answer:
675 in³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( lis length, b is breadth and h the height )
Here l = 15, b = 5 and h = 9 , then
V = 15 × 5 × 9 = 675 in³
please help me i really need help please please really really need help please
Answers
Answer:
26.5
Step-by-step explanation:
I rounded it up. Basically use pythagorean theorem.
What is a correct definition of P-value?
Answers
p-value is a measure of the probability that an observed difference could have occurred just by random chance.
2. State whether the number 21 is a perfect square, a perfect cube, or neither.
a. perfect square
b. neither
c. perfect cube
Answers
Answer:
B, neither
Step-by-step explanation:
21 is not a perfect square or perfect cube.
uurihghgihy5thpi 20 points!!! PLEASE HELP
Answers
Answer: I only see 10 points
Step-by-step explanation:
how dizxhdklhjs'klz/'cljkdshkjl dk jkjslkn sdkjnkl jddddkls kl'lk jl
Answers
Answer:
what's that (✷‿✷)
shsyhwvqqhsidjsbshsb
There are 396 students who are enrolled in an introductory biology course. If there are five boys to every four girls, how many boys are in the course?
Answers
Answer:
There are 220 boys in the course.
Step-by-step explanation:
If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.
Answer:
220 boys
Step-by-step explanation:
boys:girls
5:4
396 total
(5x44)+(4x44)=396
220+176=396
220 boys
PLEASE HELP WILL MARK BRAINIEST! Asap
Answers
Answer:
n=8
Step-by-step explanation:
It’s a special 30-60-90 triangle, so n=8.
Answer:
54 Ok?
Step-by-step explanation: Thats what i got
Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32
Answers
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²
9²=x²+7²
x²=81-49
x=√32units
Hannah was setting up a room with tables for an event. The room had 12 popular tables and 3 maple tables. What is the probability that the first person to enter the room will be randomly seated at a maple table? Give your answer as a reduced fraction.
Answers
Answer:
4 , 12 divided by 3 equals 4
Step-by-step explanation:
When Vondel Bradshaw checked his credit card statement, he found that a sales
slip dated 3/2 for $12.49 was posted as $12.99. He also found that a purchase
for $56.29 dated 2/19 was unauthorized. If the new balance on the statement
was $491.23, what is the correct new balance?
Answers
Answer: $548.02
Step-by-step explanation:
Correct for inaccurate postings...
add the $0.50 overcharge and the $56.29 unauthorized charge from $491.23
491.23+.50+56.29=548.02
An educational psychologist wants to check claims that regular physical exercise improves academic achievement. To control for academic aptitude, pairs of college students with similar GPAs are randomly assigned to either a treatment group that attends daily exercise classes or a control group. At the end of the experiment, the following scores were reported for the six pairs of participants:
Pair Number Phyasical excercise(X1) No Physical excercise(X2)
1 4.00 3.75
2 2.67 2.74
3 3.65 3.42
4 2.11 1.67
5 3.21 3.00
6 3.60 3.25
7 2.80 2.65
a. Using t, test the null hypothesis at the .01 level of significance.
b. Specify the p-value for this test result.
c. If appropriate (because the test result is statistically significant), use Cohen's d to estimate the effect size.
d. How might this test result be reported in the literature?
Answers
Answer:
a. We fail to reject the null hypothesis
b. p > 0.01
c. The test result is not statistically significant
d. There not is enough statistical evidence to suggest that regular exercise improves academic achievement
Step-by-step explanation:
No. Physical Exercise (X₂); 3.75, 2.74, 3.42, 1.67, 3, 3.25, 2.65
Physical Exercise (X₁); 4.00, 2.67, 3.65, 2.11, 3.21, 3.60, 2.80
GPAs Pair number; 1, 2, 3, 4, 5, 6, 7
The null hypothesis, H₀; μ₁ ≤ μ₂
The alternative hypothesis, Hₐ; μ₁ > μ₂
From the data, we have;
[tex]\overline d[/tex] ≈ 0.222857
Where;
d = X₁ - X₂
[tex]\overline d = \dfrac{1}{n} \times \sum_{i = 1}^{n} d_i[/tex]
Similarly, we have;
[tex]s_d^2=\dfrac{\sum \left (d-\overline d \right )^{2} }{n - 1}[/tex]
From which we get;
[tex]s_d[/tex] ≈ 0.160905
The critical-t at n - 1 = 7 - 1 = 6 degrees of freedom for α = 1% = 0.01, is given as follows;
[tex]t_{\alpha /2}[/tex] = [tex]t_{(0.005, \, 6)}[/tex] = 3.707
The test statistic, t = [tex]\overline d[/tex]/([tex]s_d[/tex]/√n)
∴ t = 0.222857/(0.160905/√7) ≈ 3.664
The test statistic , t ≈ 3.664
Therefore, given that the test statistic is smaller than the critical-t,
b. The p-value estimate is p > 0.01
c. The test result is not statistically significant
d. The test result can be reported in a literature as that there is not enough statistical evidence to reject the null hypothesis, therefore, there not is enough statistical evidence to suggest that regular exercise improves academic achievement
A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard
deviation of 7c. Three of the restaurants charge 95¢, 1.00, and $1.35. Determine the z-value for each restaurant.
Answers
Answer:
For the restaurant that charges 95 cents, the z-score is -4.29.
For the restaurant that charges $1, the z-score is -3.57.
For the restaurant that charges $1.35, the z-score is 1.43
Step-by-step explanation:
Z-score:
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.
The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.
This means that [tex]\mu = 1.25, \sigma = 0.07[/tex]
Restaurant that charges 95 cents:
The z-score is found when X = 0.95. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.95 - 1.25}{0.07}[/tex]
[tex]Z = -4.29[/tex]
For the restaurant that charges 95 cents, the z-score is -4.29.
Restaurant that charges $1:.
X = 1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1.25}{0.07}[/tex]
[tex]Z = -3.57[/tex]
For the restaurant that charges $1, the z-score is -3.57.
Restaurant that charges $1.35:
X = 1.35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.35 - 1.25}{0.07}[/tex]
[tex]Z = 1.43[/tex]
For the restaurant that charges $1.35, the z-score is 1.43
The sum of a number and 4 times its reciprocal is 13/3
Find both possible numbers.
Answers
Answer:
3 ; 4/3
Step-by-step explanation:
x + 4(1/x) = 13/3
x + 4/x = 13/3
x^2 -13/3x + 4 = 0
3x^2 - 13x + 12 = 0
Δ = 169 - 144 = 25
x1 = (13 + 5)/6 = 3
x2 = (13-5)/6 = 4/3
Answer:
4/3 or 3
Step-by-step explanation:
Let, the number be x.
According to the question,
x+4×1/x=13/3
or, x+4/x=13/3
or, x^2+4/x=13/3
or, 3(x^2+4)=13x
or, 3x^2+12=13x
or, 3x^2-13x+12=0
or, 3x^2-(4+9)x+12=0
or, 3x^2-4x-9x+12=0
or, x(3x-4)-3(3x-4)=0
or, (3x-4)(x-3)=0
Either, Or,
3x-4=0 x-3=0
or, 3x=4 .•. x=3
.•. x=4/3
So, the possible numbers are 4/3 or 3.
Ahmed invests $4000 in two different accounts. The first account paid 10 %, the second account paid 9% in
interest. At the end of the first year he had earned $370 in interest. How much was in each account?
Answers
Answer: 3000$ in 9% account
Step-by-step explanation: sums in accounts are x and (4000-x)
Interests are 0.09x and 0.10(4000-x) = 400-0.1x
Now you get 0.09x -0.1x + 400 = 370
Then -0.01x = -30 and x= 3000
H varies directly as L. If H = 30 when L=60, determine H when L= 40.
a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)
Answers
Answer:
i) The variation equation H = k L
ii) The value of H = 20
iii) C) H = k L
Step-by-step explanation:
Step(i):-
Given that H varies directly as L
H ∝ L
H = k L
Given that H =30 and L = 60
⇒ 30 = k (60)
[tex]k = \frac{30}{60} = \frac{1}{2}[/tex]
Step(ii):-
Given that L = 40
The variation of the equation = H = k L ...(i)
put L = 40 in equation (i)
[tex]H = \frac{1}{2} X 40 = 20[/tex]
The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 400 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
51
66
25
Green
38
48
19
Blue
22
55
25
Yellow
17
23
11
The experimental probability is
Answers
Answer:
66/400
Step-by-step explanation:
Find the area of the figure, in square meters, to 1 decimal place.
Answers
Answer:
Where is the picture of the figure
Step-by-step explanation:
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answers
Answer:
1:[tex]\sqrt{3}[/tex];2
Step-by-step explanation:
those are the side length ratios
Answer:
1:√3:2
Step-by-step explanation:
Brainliest please
Sandy picked ½ of a bucket of plums, and Sally picked ½ of a bucket of plums. Sandy ate ⅓ of the pickings. How many buckets total did they pick?
Answers
Answer:
1 whole bucket
Step-by-step explanation:
Rewrite the following sentence in the passive voice:
The people of Zanzibar extended a warm welcome to the tourists.
Answers
Answer:
When the tourists came, the people of Zanzibar extended a warm welcome.
What is 4.6m2 in cm2 ?
Answers
Answer:
4.6
Step-by-step explanation:
An angle measures 88° less than the measure of its complementary angle. What is the measure of each angle? (please see the screen shot i need 2 answers)
Answers
Answer:
1° and 89°
Step-by-step explanation:
(x + 88°) + x = 90°
2x + 88 = 90
2x = 2
x = 1°
Dk Metcalf is my son
Answers
Answer:
Dad, is that you?
Step-by-step explanation: