Answer:
A
Step-by-step explanation:
A researcher studying a memory enhancing technique had participants memorize nonsense words and definitions. Out of a list of 10 words, 57 participants were able to quickly learn 6.24 words on average with a standard deviation of 1.24. If it is known the mean number of words memorized in general is 5.65, is there sufficient evidence at that the memory enhancing technique helped participants learn more words?
a. What are the null and alternative hypotheses?
b. What is the value of the test statistic?
c. What is the critical value?
d. What is the decision?
e. What is the conclusion?
Answer:
A.
Null:
H0: u= 5.65
Alternative:
H1: u > 5.65
B.
The test statistic
Xbar = 6.24
u = 5.65
S = 1.24
N = 57
T = 6.24-5.65/(1.24/√57)
= 0.59/(1.24/7.5498)
= 0.59/0.1642
Test statistic = 3.593
C.
With alpha = 0.05
Df = n-1 = 57-1 = 56
T critical = 1.673
D.
If t test > 1.673 reject the null hypothesis
3.593>1.673, reject the null hypothesis
We conclude that there is enough evidence that the technique helped the participants to learn more.
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
Choose the pair of sets which is equivalent.
Answer and I will give you brainiliest
What is the value of log E 100
Answer:
4.605170185988091
Step-by-step explanation:
ln 100 = 4.605170185988091
e^4.605170185988091 = 100
Step-by-step explanation:
100=1 log 10(1)=0
I hope this is helpful for you
Write the equivalent of the fraction using a dominator of 35 4/14
Answer:
10/35
Step-by-step explanation:
4*2.5=10
14*2.5=35
4/14=10/35
Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equation y = 0.5x + 5 intersect the circle with radius 3 and center (0,5)?
X =
y =
Answer:
The point of intersection is:
[tex]\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)[/tex]
Step-by-step explanation:
We want to find the point in QI at which the line with the equation:
[tex]y=0.5x+5[/tex]
Intersect a circle with a radius of 3 and a center of (0, 5).
First, write the equation of a circle. The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:
[tex](x-0)^2+(y-5)^2=(3)^2[/tex]
Simplify:
[tex]x^2+(y-5)^2=9[/tex]
At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:
[tex]x^2+((0.5x+5)-5)^2=9[/tex]
Simplify:
[tex]x^2+(0.5x)^2=9[/tex]
Square:
[tex]x^2+0.25x^2=9[/tex]
Combine like terms:
[tex]\displaystyle 1.25x^2=\frac{5}{4}x^2=9[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}[/tex]
Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.
To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:
[tex]\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34[/tex]
So, the point of intersection in QI is:
[tex]\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)[/tex]
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for
π
.
Find the area of the top, which is a circle.
Area of a circle = pi x r^2
Area = 3.14 x 1.5^2 = 7.065
Now for the volume multiply the area of the top by the height:
7.065 x 12 = 84.78 cubic inches
Round to the nearest tenth: 84.8 cubic inches
Answer:
Volume of cylinder is 84.78 inches.
Step-by-step explanation:
Volume of cylinder = π × r ² × h
Where,
r , is the Radius of cylinder. h ,is the height of cylinder.And we have given that
Height of cylinder , h = 12 inchesRadius of the height , r = 1.5 inchesValue of π = 3.14Substitute the values
Volume of cylinder = 3.14 × (1.5 inches) × 12 inches
= 3.14 × 2.25 inches² × 12 inches
multiply the values , we get
Volume of cylinder = 84.78 inches³.
84.8 inches³ is the round nearest to tenth.
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
14 cm
25 cm
11 cm
Answer:
[tex]Shaded = 212.5cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The shaded region
First, calculate the area of the complete rectangle
[tex]Area =Length * Width[/tex]
[tex]Area = 14cm * 25cm[/tex]
[tex]Area = 350cm^2[/tex]
Next, calculate the area of the triangle
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]
[tex]Area = 137.5cm^2[/tex]
Subtract the area to calculate the shaded region area
[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]
[tex]Shaded = 212.5cm^2[/tex]
If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,
find f(x) – g(x).
Answer: x^2 - 4x + 3
Answer:
f(x) – g(x) = x^2 - 4x + 3
Step-by-step explanation:
f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,
f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)
Distribute the minus sign
f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2
Combine like terms
f(x) – g(x) = x^2 - 4x + 3
PLEASE HELP DUE SOON!!!!
9514 1404 393
Answer:
summer - solstice - toward the sunfall - equinox - neitherwinter - solstice - away from the sunspring - equinox - neitherStep-by-step explanation:
Summer and Winter start on the solstices. The axis leans toward the sun and away from the sun on those dates, respectively.
__
Fall and Spring start on the equinoxes. The tilt of the axis is neither toward nor away from the sun on those dates. It is perpendicular to the earth-sun line.
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
64 is what percent of 80
Answer:
80%
Step-by-step explanation:
x : 100 = 64 : 80
x = (100 * 64)/80 = 80%
Answer:
80%
Step-by-step explanation:
Is means equals and of means multiply
64 = P * 80
Divide each side by 80
64/80 = P
.8 = P
Change to percent form by multiplying by 100
80% = P
Which is an equation for the line that passes through (0, 2) and (-2, 0)?
Answer:
Step-by-step explanation:
(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).
Answer:
the required equqtion is x-y=2
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
What is the decimal multiplier to increase by 4.3%?
Answer:
1.043
Step-by-step explanation:
Decimal multiplier to increase by x% is computed as:-
100% + x%
The decimal multiplier to increase by 4.3% would be
100% +4.3% = 104.3%
To remove% we divide the number by 100, so the number will become
Hence, The decimal multiplier to increase by 4.3% = 1.043
Please Mark as Brainliest
Hope this Helps
what is the equation of a line that goes through the point (0,-3/5) and has a slope of -1
Answer:
y=-x-3/5
Step-by-step explanation:
y=mx+b
m is the slope
y=-x+b
b is the y intercept
y=-x-3/5
(4-i)-(3-i) in standard form
Answer:
ifeywifheb
Step-by-step explanation:
hkefewib
Which of the following represents the factorization of the trinomial below?
x2 - 17x+ 30
A. (x-3)(x-10)
B. (x-2)(x+15)
C. (x-2)(x-15)
D. (x-3)(x +10)
Integers help me with this question
9514 1404 393
Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
what pairs of degree measures NOT belong to the
group?
Answer:
B. 56° and 38°
Step-by-step explanation:
The sum of each of the two angles sums up to 90° ;
A.) 13° and 77°
Sum of A ; (13 + 77)° = 90°
B.) 56° + 38°
Sum = 56° + 38° = 94°
C) 37° and 53°
Sum = 37° + 53° = 90°
D.) 42° and 48°
Sum = 42° + 48° = 90°
Hence, the pair of degree measure which does not belong is B. 56° and 38°
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
. ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V)) wut tyhe hell is this
Five less than Greg's age is less than 23
Answer:
Greg is 28.
Step-by-step explanation:
Greg's age is y.
y - 5 = 23
y - 5 + 5 = 23 + 5
y = 28
Here is a random sample of the body temperature of 25 young adults.
96 96.4 96.6 96.7 96.7
96.8 97 97 97 97.2
97.2 97.3 97.5 97.5 97.6
97.7 97.8 97.8 98.2 98.3
98.5 98.6 98.6 98.6 99
Complete the relative frequency distribution table.
Temperature Group Frequency Relative Frequency
96 ≤ x < 96.43 2
96.43 ≤ x < 96.86 4
96.86 ≤ x < 97.29 5
97.29 ≤ x < 97.72 5
97.72 ≤ x < 98.15 2
98.15 ≤ x < 98.58 3
98.58 ≤ x < 99.01 4
having troubles solving this question
Answer:
option c is the correct answer
Answer:
c. 1/3
Step-by-step explanation: Substitute the corresponding x and y values into the slope formula, m = y2-y1/x2-x1. Then simplify the equation and you will get 1/3.
Can someone please answer this question for me with explanation bc im kinda having a hard time
Answer:
Step-by-step explanation:
First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region
Area of Circle
Here, r=radius
area of circle= π×r²
= π × 5² (radius=half of diameter)
= 25π
= 78.54cm²
Area of Triangle
Here, b=base, h=height
area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h
= [tex]\frac{1}{2}[/tex]×8×6
= 24cm²
Area of shaded region= area of circle - area of triangle
= 78.54 - 24
= 54.54
≈ 54.5cm² [Ans]
help no links or any other stuff please
Answer:
z = 2.2
Step-by-step explanation:
[tex]-\frac{z}{0.5} + 1.4 = -3\\\\-\frac{z \times 10}{0.5 \times 10} + 1.4 = -3\\\\-2z + 1.4 = -3\\\\-2z = -3 - 1.4\\\\-2z = -4.4\\\\z = \frac{-4.4}{-2}\\\\z = 2.2[/tex]
If f(x) = -2x + 7 and g(x) = x2 – 2, then f(g(3)) is
equal to
Answer:
f(g(3)) = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = -2x + 7
g(x) = x² - 2
Step 2: Find f(g(3))
Substitute in x [Function g(x)]: g(3) = 3² - 2Evaluate exponents: g(3) = 9 - 2Subtract: g(3) = 7Substitute in g(3) [Function f(x)]: f(g(3)) = -2(7) + 7Multiply: f(g(3)) = -14 + 7Add: f(g(3)) = -7Help pls help help help hep
Step-by-step explanation:
just try out some values to get a clue
f(0)<= -|0+1|+1 = 0
okay, that value is true for all graphs
let's try another
f(1) <= -|1+1|+1 = -1
for x=1 the inequality only applies for a region less or equal to -1
B and D are clearly out. C covers just to much above
Only A remains as an option
note that |-5| is just 5. this notation is to say "how far away from 0. -5 is just 5 units away from zero.
in terms of calculating it, it makes everything inside it positive (distance from zero is never negative)
Answer:
A
Step-by-step explanation:
A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.
What is the probability that the first 3 parties of the night are all seated at window seats?
Answer:
50/50
Step-by-step explanation:
It's random
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer:
216
Step-by-step explanation:
outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216