Answer:
The standard error between the sample mean is approximately 0.3412
Step-by-step explanation:
The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;
[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The given parameters are;
The number of sample of southern grass cicadas, n₁ = 20
The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm
The standard deviation, s₁ = 1.34 mm
The number of sample of citrus cicadas, n₂ = 20
The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm
The standard deviation, s₂ = 0.73 mm
[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]
The standard error between the sample mean, SE ≈ 0.3412
3х + 9 < 39
solve the following inequality
X < 10
Step-by-step explanation:
Linear inequality systems graphically
what is this question called?
Answer:
It should be Ratio and Proportions .
Answer:
Step-by-step explanation:
a proportion. Both ratios are the same thing. If you divide 15000 by 30 you get 500
If you divide 210 by 30, you get 7
It is always true that a proportion will have equal equal ratios on either side of the equal sign.
PLEASE HELP ME, IM STRESSED OUT:(
Answer:D
Step-by-step explanation:
write the expression below in simplest form. 3x^2 + 8x -1+2(x^2 +5x+3) (work shown please!)
Answer:
5x^2+18x+5
Step-by-step explanation:
Answer:
5x² + 18x + 5
Step-by-step explanation:
Given
3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis
= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms
= 5x² + 18x + 5
Identify the inverse operation:r/4
Answer:
The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r
Step-by-step explanation:
So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.
i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.
Answer:
jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj
20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.
Find the length of CD to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
12.8 feet
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
help please ill give brainliest
PLSS HELP ME ASAP!! WILL GIVE YOU BRAINLYEST!!!
Zhane spins a spinner 50 times and records the results of
each spin in a table. Based on the data, which of the
following could describe the spinner Zhane used?
A. The blue section is twice as large as the red section
B. The red section is smaller than the blue and green
sections combined
C. The green section is larger than the yellow section
D. The red and blue sections combined are larger than the
green and yellow sections combined.
Answer:
The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20
Answer:
D
Step-by-step explanation:
Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 90 packet box sells for $18.95. Which is the best buy?
Answer:
60 packets
Step-by-step explanation:
Given that :
Unit cost of 20 packets
$5.49 / 20 =$0.2745
Unit cost of 60 packets :
$10.97 / 60 = $0.1828333
Unit cost of 90 packets :
$18.95 / 90 = $0.2105555
The 60 packets has the least cost per unit, hence it is the best buy.
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2
Step-by-step explanation:
[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]
the graphs below have the same shape. what is the equation o the red graph?
So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?
We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
[tex]y = (x - (-4))^2 -2[/tex]
The double negative becomes a positive, and then you're done:
[tex]y = (x + 4)^2-2[/tex]
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
https://brainly.com/question/4758162
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.
The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!
Answer:
4y+12x
Step-by-step explanation:
I dont have time to type sry
Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?
Answer:
i was number #173
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
You have to find the lcm, and that is 56! Hope that helps.
Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?
Answer:
31000
Step-by-step explanation:
hope this helps :)
Answer:
31000
Step-by-step explanation:
Help? cant seem to figure this out. Appreciate it!
Answer:
327 cm²
Step-by-step explanation:
The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then
SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)
= (2 ×76) + (2 × 40) + (2 × 47.5)
= 152 + 80 + 95
= 327 cm²
Answer:
Step-by-step explanation:
SA = 2B + LA B = area of base LA = lateral area
B = area of the rectangle with length of 9.5 and width of 5
= 9.5(5) = 47.5
LA = perimeter of base times the height
= [2(9.5) + 2(5)] (8)
= (19 + 10)(8)
= 29(8)
= 232
SA = SA = 2B + LA = 2(47.5) + 232
= 95 + 232
= 327 sq cm
What is the surface area of the triangular prism?
A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2
A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?
Answer: 43.48 Pounds
Step-by-step explanation:
Given
Elizabeth has 43.479 pounds of soil
Rounding off to the nearest tenth of a pound
Consider 79 which occurs after the decimal place
Converting it to 80 as it is nearest to 80
So, we can write 43.479 as 43.48 Pounds
Find the VOLUME of the rectangular prism below.
Volume =
cubic cm
21 cm
12 cm
38 cm
is it weird that im scared of my boy bsf
Answer:
No, not really.
Step-by-step explanation:
It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.
The diagram shows quadrilateral MNPQ.
Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.
What is the length of line segment MQ?
8 units
10 units
11 units
15 units
Answer:
The answer is 11 units
Step-by-step explanation:
I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.
Hopes this helps!
For the given quadrilateral MNPQ, the length of MQ is 11 units.
Therefore, the option C is the correct answer.
Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.
We need to find the length of side MQ,
MQ = MR + RQ............(i) [segment addition property]
To find MR and RQ, we will have to do a construction in the figure given,
(Refer to the diagram attached)
Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.
So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,
So, we get,
QR = 3 and NR = 6.
Also, we have a right triangle MNR, where MN is the hypotenuse,
Using the Pythagoras theorem, we can find the length of MR,
MR² = MN² - NR²
MR = √(10² - 6²)
MR = √(100 - 36)
MR = √64
MR = 8
Putting the values of MR and QR in equation (i), we get,
MQ = MR + RQ
MQ = 8 + 3
MQ = 11
Hence the length of MQ is 11 units.
Learn more about Geometry click;
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Find the area of the shaded region.
Answer:
B. x^2-10
Step-by-step explanation:
Your are trying to find the shaded region
You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it
Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square
Equation:
(x*x)-(2*5)
x^2-10
The answer is B
help plz!!!!!!!!!!!!!!!!!!!!!
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
