Answer:
the equation would be: y=(x-4)(x+2)
Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.
Required:
State the null and alternative hypotheses.
Answer:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
we reject the Null and we conclude that babies prefer actual speaking to humming.
Step-by-step explanation:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
Mean difference, d = 27.79
Standard deviation of difference, Sd = 63.18
Sample size, n = 50
The test statistic :
d / (Sd / √n)
Test statistic :
27.79 / (63.18 / √50)
27.79 / 8.9350012
= 3.11
Using the Test statistic score, we can obtain the Pvalue
Using the standard normal table ;
Pvalue = P(x<-Z or x>Z) = 0.0018709
Pvalue is very low
Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.
URGENT PLEASE HELP!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?
Answer:
21mm
Step-by-step explanation:
Area = 336mm²
Height = 16mm
Base = ?
Area = Base × Height (Substitute numbers into the known variable)
336mm² = Base × 16mm ( Find the base,so divide
16mm on both sides)
Base = 336mm² ÷ 16mm
= 21mm
f(x) = -2x + 4 if x < 2 2x-4 if x>2 is continuous at x = 2. true or false
Answer:
False
Step-by-step explanation:
What is the greatest common factor (GCF) of 24 and 40?
Question:
What is the greatest common factor (GCF) of 24 and 40?
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40=2×2×2×5
24=2×2×2×3 then we take the common 2×2×2=8
Jimmy spent $32.50 at the bowling alley. He spent $5 to rent shoes and the rest he spent on bowling l, which cost $5.50 per game. What are the 2 steps and how much games did jimmy bowl?
Answer:
First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total
Step-by-step explanation:
Em um jantar no castelo da rainha da Inglaterra, estavam presentes 10 pessoas da mais alta corte inglesa. Após o jantar foram servidas dois tipos de sobremesas, A e B. Sabe-se que apenas 5 pessoas comeram da sobremesa A e 7 da sobremesa B e 3 pessoas comeram as duas. Após um jantar, foram servidas as sobremesas X e Y. Sabe-se que das 10 pessoas presentes, 5 comeram a sobremesa X, 7 comeram a sobremesa Y e 3 comeram as duas. Quantas não comeram nenhuma sobremesa?
Mrs.Oswalt has been craving smoothies lately. She buys a 20oz chocolate smoothie for 7$. Ms.Munguia buys a 17oz chocolate smoothie. How much is Ms.Munguia’s smoothie?
A. 5.95$
B. 8.24$
C. 6$
Answer:
Cost of 17 oz smoothies = $5.95
Step-by-step explanation:
Given:
Amount of smoothies Mrs. Oswalt buy = 20 oz
Cost of 20 oz smoothies = $7
Amount of smoothies Ms. Munguia buy = 17 oz
Find;
Cost of 17 oz smoothies
Computation:
Cost of 17 oz smoothies = Cost of 20 oz smoothies[Amount of smoothies Ms. Munguia buy / Amount of smoothies Mrs. Oswalt buy]
Cost of 17 oz smoothies = 7[17/20]
Cost of 17 oz smoothies = 119 / 20
Cost of 17 oz smoothies = $5.95
The triangles shown below must be congruent.
45
45
45
45"
12
12
O A. True
B. False
HELLO CAN SOMEONE PLEASE HELP
Answer:
1, 4
Step-by-step explanation:
X increases up by one
Y multiplies 4 from the previous
Find the range and interquartile range of the data.
63,53,48,61,69,63,57,72,46
The range of the data is
The interquartile range of the data is
Sten counts 39 rabbits in his garden. Round 39 to the nearest 10.
Answer: Round 39 to the nearest 10 is 40
Step-by-step explanation:
Amanda is 160 cm tall. She is 10 cm taller than her younger sister Carl a. Which of the following equations can be used to find x? X + 10 = 160 X + 160 = 10 X - 10 = 160 x = 10 + 160
Answer:
A. x + 10 = 160
Step-by-step explanation:
This is the correct choice since, we already know the height of Amanda and it gives us the difference between her sister and her height. We can formulate an expression.
x + 10 = 160
Solve.
160 - 10 = 150
x = 150
Thus, Carla is 150 centimeters tall.
PLEASE HELPPPPP!!!!!!!!! (show work if you can)
Answer:
[tex]180x^4y^3z^2[/tex]
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
[tex]LCM(12,18,30)=180[/tex]
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:
[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]
Answer:
[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]
Question is below in photo
what about using 20-30-40-5
Step-by-step explanation:
the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50
what is the solution to -3^2+4(-3)(-3)
Answer:
The solution is 45.
Step-by-step explanation:
9+4(9)
9+36
45
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{ -3^2+4(-3)(-3)}[/tex]
[tex]\mathsf{-3^2}\\\mathsf{= -1\times3^2}\\\mathsf{3^2=3\times3=\bf 9}\\\mathsf{-1\times9}\\\mathsf{= \bf -9}[/tex]
[tex]\mathsf{-9 +(4)(-3)(-3)}[/tex]
[tex]\mathsf{4(-3)=\bf -12}[/tex]
[tex]\mathsf{= -9 + (-12)(-3)}[/tex]
[tex]\mathsf{(-12)(-3)=\bf 36}[/tex]
[tex]\mathsf{-9+36=\bf 27}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 27}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6. Which is the equation of the line?
Answer:
i'm not sure if this answers your question
the slope for - 2x + 3y = -6 is 2/3
the y- intercept is (0,-2)
Step-by-step explanation:
x | y
0 | -2
3 | 0
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.
Answer:
he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars
Angle Relationships
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle to 38°
a. 0.68
b. -0.16
c. -0.22
d. 0.62
Please select the best answer from the choices provided
Answer:
D. 0.62
Step-by-step explanation:
I calculated it logically
The point A(-7, 3) is translated onto A' by the vector =(5, -4).
The coordinates of A' are
O (-12,7)
0 (2, -7)
o (5, -4)
o(-2, -1)
Answer:
o(-2,-1)
Step-by-step explanation:
Let point A be initial point and A' be terminal point.
A(-7,3), A'(x,y) and V=(5,-4)
V=(Xf-Xi,Yf-Yi)
(5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
5=x+7. -4=y-3
5-7=x. -4+3=y
x=-2. y=-1
A'=(-2,-1)
The coordinates of A'(-2, -1).
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
point A(-7, 3)
and vector, V =(5, -4).
So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])
Where X(final) = ?, Y(Final)= ?
So, (5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
On comparing the coordinates
5=x+7 and -4=y-3
x= 2 and y = -1
Hence, the coordinates of A'(-2, -1)
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ5
What is the domain for √(x-2)? *
all real numbers except x=2
all real numbers for x≥2
all real numbers for x≤2
all real numbers except x=0
the cost of 5 DVDs and a $15
Answer:
$3
Step-by-step explanation:
the cost of 5 DVDs and a $15
you didn't ask anything
Answer:
$3 because 15÷3= 5 so it is 3
There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green
marble, then a red marble.
Answer:
3/76
Step-by-step explanation:
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
-4(y - 2) = 12
y = ?
Answer:
Hello! answer: -1
Hope that helps!
9xy + 6ab + 2xb
The expression consists of ? terms, and each term contains ? factors
Answer:
They're 3 terms
Step-by-step explanation:
Im confused but the factor part because you can argue they're all factors of something. 81,18,4
The formula for the volume V Of a cone has the radius r and the height h is shown below.
V= 1/3 π r ²h
H= what?
Answer:
H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !
Hope this helps
1
(b) If x= 1 - 2 then find the value of x-
x
Answer:
I think x - x = 0
FILLER FILLER
A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.
Answer:
The height of the tree in 2020 was of 19.63 feet.
Step-by-step explanation:
Exponential equation for growth:
The exponential equation for the growth of an amount has the following format:
[tex]H(t) = H(0)(1+r)^t[/tex]
In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.
A 4 foot tree was planted in 2012 outside a high school.
This means that [tex]H(0) = 4[/tex]
The tree grew continuously by 22% each year from that point.
This means that [tex]r = 0.22[/tex]
Find out what the height of the tree was in 2020.
2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).
[tex]H(t) = H(0)(1+r)^t[/tex]
[tex]H(t) = 4(1+0.22)^t[/tex]
[tex]H(4) = 4(1.22)^t[/tex]
[tex]H(4) = 4(1.22)^8 = 19.63[/tex]
The height of the tree in 2020 was of 19.63 feet.
For which of the following values of X is 5+X < 5?
Answer:
x<1
Step-by-step explanation:
5+x<5
x<5-5
x<1
it simply is one , you just take five to the other side making x the subject of the formula
Here’s the problem:)
Answer:
60.3°
Step-by-step explanation:
tanx(7/4)
since x is missing then its gonna be like this
[tex]tan^{-1}= \frac{7}{4}[/tex]
x= 60.260 round it if u want, my teacher said to round it to the tens place when finding the missing angle