Answer:
x=6, y=128
set 5x+16 = 7x+4
-2x=-12
x=6
plug x into equation= 46
180-46=134
y+6=134
y=128
Answer:
x= 45 Degrees
Step-by-step explanation:
Total Triangle= 180 Degrees
Subtract Right Angle: 180-90= 90 Degrees
Divide by 2 because it is an isosceles triangle: 90/2= 45 Degrees
Mike works for his father sanding wooden rocking chairs. He earns $6 per chair. How many chairs does he need to sand in order to buy a portable CD player for $49.99
what is 9,030×29,234?
Answer:
263,93802
Step-by-step explanation:
xd
Alternate exterior angles congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?
Answer:
<1 = <8
Step-by-step explanation:
Pair of alternate exterior angles are formed when two parallel lines are cut across by abl transversal line. The two angles are found on the other side of the parallel lines but located on opposite sides along the transversal line.
Thus, <1 and <8 are exterior angles of the parallel lines that are crossed by the transversal and they are on the alternate sides along the transversal.
Therefore, <1 and <8 form a pair of alternate exterior angles.
<1 = <8
Which coordinates plane correctly shows Mia’s scores for the first three rounds of play?
What is the volume of a sphere with a diameter of 9.9 cm, rounded to the nearest
tenth of a cubic centimeter?
Answer:
the volume of the sphere is 507.78981 cm^3
Step-by-step explanation:
The computation of the volume of the sphere is given below:
Given that
The Diameter is 9.9 cm
So, the volume of the sphere is
= 4 ÷ 3 ×π × r^3
= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3
= 4 ÷ 3 × 3.14 × 4.95^3
= 507.78981 cm^3
Here r denotes the radius
And, the radius would be comes by dividing the diameter from 2
Hence, the volume of the sphere is 507.78981 cm^3
Answer:
508.0
Step-by-step explanation:
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95
radius=
2
diameter
=
2
9.9
=4.95
centimeters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (4.95)^3
3
4
π(4.95)
3
508.047368364254
508.047368364254
Use calculator
\approx 508.0\text{ cm}^3
≈508.0 cm
3
Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
Answer:
whow this is so great app i love it
Work out the equation of the line that
is parallel to the line y= 5x - 3
passes through (-2, -4)
Answer:
y = 5x +6
Step-by-step explanation:
the slope of the given equation is 5. a slope of a line parallel has the same slope. so 5
y- -4 = 5(x - -2)
y+4 = 5x +10
y = 5x +6
Can you help me with this problem please?????
Answer:
The answer is the first option I hope it helps
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random sample of 12 sample specimens has a mean compressive strength of psi. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.
Complete Question
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with[tex]\sigma^2=1000[/tex]. A random sample of 12 sample specimens has a mean compressive strength of [tex]\=x=3207psi[/tex]. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.
Answer:
[tex]CI=(3189.1,3224.9)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=12[/tex]
Standard deviation [tex]\sigma^2=1000psi^2\\\sigma=\sqrt{1000} \\\sigma=31.6[/tex]
Sample mean [tex]\=x=3207[/tex]
Confidence level =95%
[tex]\alpha=100-95\\\alpha=0.05[/tex] significance level
From table \alpha 0.05
Gives
[tex]Z_c=1.96[/tex]
Generally the equation for confidence interval is mathematically given by
[tex]CI=(\=x-\frac{z_c*\sigma}{\sqrt{n} } ),\=X+\frac{Z_C*\sigma}{\sqrt{12} })[/tex]
[tex]CI=(3207-\frac{1.96*31.6}{\sqrt{12} } ),3207+\frac{1.96*31.6}{\sqrt{12} })[/tex]
[tex]CI=(3189.1,3224.9)[/tex]
A sample of 9 adult elephants had an average weight of 11,773 pounds. The standard deviation for the sample was 24 pounds. Find the 99% confidence interval of the population mean for the weights of adult elephants. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.
Answer:
99% C.I of the population mean is ( 11746, 11800 )
Step-by-step explanation:
Given the data in the question;
Sample size n = 9
mean x" = 11773
standard deviation s = 24
for 99% confidence interval
∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01/2 = 0.005
degree of freedom df = n - 1 = 9 - 1 = 8
now, Critical t-value : [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.005, 8[/tex] = 3.355
Now, at 99% Confidence interval of the mean population is;
x" ± [ [tex]t_{\alpha /2, df[/tex] × s/√n ]
we substitute
11773 ± [ 3.355 × 24/√9 ]
11773 ± [ 3.355 × 8 ]
11773 ± 26.84
so
⇒ {11773 - 26.84}, {11773 + 26.84}
⇒ ( 11746, 11800 )
Therefore, 99% C.I of the population mean is ( 11746, 11800 )
8b + 4 - 4b + 2 = what
8b+4-4b+2= 4b+6
collect the like terms and add
two parallel lines are cut by a transversal what is the measure of 2
Answer:
b 80
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A P EE X
5. Find the probability that a randomly chosen point in the figure lies in
the shaded region.
Answer:
D
Step-by-step explanation:
area of shaded region=1/2×8×8=32 sq. units
area of larger triangle=1/2×14×16=112 sq units
reqd. probability=32/112=2/7
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that the ladder makes with the ground
area of it plssssssssssssSSssssssSSSsSSSSs
Answer:
40units²
Step-by-step explanation:
find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.
do the formula for rectangle
A = bh
A = 8×2
A = 16
Now the formula for Trapezoid
A = 1/2h(b+b)
A = 1/2×4(4+8)
A = 1/2×4(12)
A = 1/2(48)
A = 24
16+24 = 40
25 points!! Pls help!! If not I will probably get a D pls I will mark brainliest but will report if answer is unrelated
Answer:
18 cm!
Step-by-step explanation:
Plz help me well mark brainliest if correct!!
Answer:
(1, 1)
Step-by-step explanation:
not 100% sure though, but hope it helps
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.
(a) t = 1.828
(b) t = 0
(c) t = 1.735
(d) t = -1.826
I can't figure this problem out- Please help me
Answer:
68 inches^2
Step-by-step explanation:
The shape is a rhombus
A rhombus is a four sides quadrilateral with the four sides equal in length
The area of a rhombus = [tex]\frac{1}{2}pq[/tex]
where p and q are the two diagonals
1/2 x (8 x 17) = 68 in²
I NEED THIS ASAP. What is m
Answer:
The measure of ∠DFE is 67°.
Step-by-step explanation:
Angle GFE is a straight angle, meaning that its measure is 180°, per se.
180 - 113 = m of ∠DFE
180 - 113 = 67
Wite the ratio for sin A.
Answer:
the ratio is 182
Step-by-step explanation:
sana po makatulong
Answer:
sine = opposite leg / hypotenusesin A = BC / ABsin A = 13/85sin A ≈ 0.15Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below.
Participation in the School Band
Year
Number of students
2010
48
2011
52
2012
55
2013
59
Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?
They will have the same slopes and the same y-intercepts.
They will have the same slopes but different y-intercepts.
They will have different slopes but the same y-intercepts.
They will have different slopes and different y-intercepts.
Answer:
B. They will have the same slopes but different y-intercepts.Step-by-step explanation:
MelanieThe slope:
m = (59 - 48)/(2013 - 2010) = 11/3The y -intercept:
the starting point, 2010The equation off the line:
y = 11/3x + 2010TracyThe slope:
m = (59 - 48)/(3 - 0) = 11/3The y -intercept:
the starting point, 0The equation off the line:
y = 11/3xAs we see they get same slopes but different y-intercepts.
Correct choice is B
Answer:
B) They will have the same slopes but different y-intercepts.
Step-by-step explanation:
I got 100% :>
Based on the picture what is the Minimum, Maximum, Median, Q1, Q3, And the IQR?
Answer:
lol I hope I'm right ...
Step-by-step explanation:
minimum=2, maximum=10, Q1=3, median=6, Q3=8, IQR= 5
How to Evaluate 5/9 x 8
Answer:
4 4/9
Step-by-step explanation:
First, you have to set it up: 5/9 times 8/1
We made it 8/1 since it has to be a fraction in the multipying ocess and the one does not change the value.
Next, Multiply.
5/9x8/1=40/9 as an inproper fraction
As a proper fraction, it is written as 4 4/9
April and Cody invest $5,000 each at their local bank. April invests at a 4% simple interest rate for three years. Cody invests at a 4% compound interest rate, and earns $624.32 in interest. What is the difference in their account balances at the end of 3 years?
Answer:
106.43
Step-by-step explanation:
The difference in their account balances at the end of 3 years is $24.32
Calculations and ParametersTo solve the compound interest for Cody
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.04/1)(1)(3)
A = 5,000.00(1 + 0.04)(3)
A = $5,624.32
To solve for the simple interest for April
P * T * R/100
5000 * 4 * 3/100
= 60,000/100
= 600.
We add the S. I of April's investment
= 5,000 + 600
= $5600.
Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32
Read more about compound interest here:
https://brainly.com/question/24924853
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An auto manufacturing company wants to estimate the variance of miles per gallon for its auto model AST72. A random sample of 24 cars of this model showed that the standard deviation of miles per gallon is 0.58. At the alpha = 1%, can the research department conclude that the population variance of miless per gallon for AST72 is decreased from historical value of 0.35?
A. At alpha = 1%, they reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
B. At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
C. At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has decreased from the historical value of 0.35.
D. At alpha = 1%, they reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
Answer:
Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )
Fail to Reject Null hypothesis H₀ at 1%.
At 1% significance level, we can conclude that, population variance is maintained at historic value.
Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.
Step-by-step explanation:
Given the data in the question;
sample size n = 24
Sample Standard deviation S = 0.58
Let δ represent the population standard deviation
so we will test;
H₀ : δ = √0.35 ≈ 0.5916
H₁ : δ < √0.35 ≈ 0.5916
Test Statistics;
we determine our test statistics as follows;
Z = [√(2(n-1))] × [ lnS - lnδ ] ~ N(0, 1 )
Now, Under H₀, [tex]Z_{obs[/tex] = [√(2(24-1))] × [ ln (0.58 / 0.5916) ]
= 6.7823 × -0.0198026
= -0.134
From z-table;
p-value = P( z < [tex]Z_{obs[/tex] ) = p( z < -0.134 ) = 0.4467
p-value = 0.4467
Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )
Fail to Reject Null hypothesis H₀ at 1%.
At 1% significance level, we can conclude that, population variance is maintained at historic value.
Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.
What is the common difference for this arithmetic sequence?
-5, -1, 3, 7, 11,...
A. 4
B. 2
C. 5
D. 3
Answer:
5
Step-by-step explanation:
Negative is always negative positive is always positive
A group of 10 friends decides to head up to a cabin in the woods (where nothing could possibly go wrong). Unfortunately, a number of these friends have dated each other in the past, and things are still a little awkward. To get the cabin, they need to divide up into some number of cars, and no two people who dated should be in the same car.
a. What is the smallest number of cars you need if all the relationships were strictly heterosexual? Represent an example of such a situation with a graph. What kind of graph do you get?
b. Because a number of these friends dated there are also conflicts between friends of the same gender, listed below. Now what is the smallest number of conflict-free cars they could take to the cabin?
Friend A B C D E F G H I J
Conflicts with BEJ ADG HJ BF Al DJ B CI EHJ ACFI
c. What do these questions have to do with coloring?
Answer:
a) 3
b) 3
c) because of the permutations and combinations involved
Step-by-step explanation:
a) Determine the smallest number of cars needed
The number of cars are the same as conflict free cars
hence we can group the friends without conflict into the same car
1st car we will have : ACFI in it
2nd car we will have : GD in it
third care we will have : BEJH in it
∴ number of car needed = 3
b) number of conflict free cars = 3
c) Coloring is important in the question because of the permutations and combinations involved
Divide. Round to the nearest tenth. .48÷9.23
[tex].48 \div 9.23[/tex]
10. A student answers 90% of the questions
on a math exam correctly. If he answers
27 questions correctly, how many questions
are on the exam?
9514 1404 393
Answer:
30
Step-by-step explanation:
Let q represent the number of questions on the exam.
27 = 0.90q . . . . . 90% of them is 27
27/0.9 = q = 30 . . . . . divide by the coefficient of q
There are 30 questions on the exam.
Answer:
There are thirty questions on the test.
Step-by-step explanation:
You can discover this by doing 27 divided by . 90 which equals 30