Complete Question
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha 0.05
Answer:
The p-value is [tex]p-value =0.073614[/tex]
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Step-by-step explanation:
From the question we are told that
The sample size of boys and girls is [tex]n_1= n_2 = n = 40[/tex]
The standard deviation is [tex]s_1= s_2 = s = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample mean for boys is [tex]\= x_1 =66[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1 ^2 }{n_1} + \frac{s_2 ^2 }{n_1} } }[/tex]
=> [tex]z = \frac{66 -68 }{ \sqrt{\frac{5^2 }{40} + \frac{5 ^2 }{40} } }[/tex]
=> [tex]z = -1.789[/tex]
From the z table the area under the normal curve to the left corresponding to -1,789 is
[tex]P(Z < -.1789 ) = 0.036807[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -.1789 )[/tex]
=> [tex]p-value = 2 * 0.036807[/tex]
=> [tex]p-value =0.073614[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Help plz 13. Mildred is flying a kite on a 30 m string. The angle of elevation of the kite measures 40 degrees,
and Mildred's hand is 2 m above the ground. About how high is the kite off the ground?
a. 21.3 m
c. 19.3 m
b. 25 m
d. 23 m
Answer: 21.3m
Step-by-step explanation:
The height of the kite of the ground would be calculated as:
We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.
Therefore, the height of the kite would be:
= 30 sin 40 + 2
= 30 (0.6428 ) + 2
= 19.284 + 2
= 21.284 m
= 21.3 m
hey im dum dum what's 45*23455/76?
Answer:
13887.8289474
Step-by-step explanation:
i used a calculator cuz im dum too lol
Answer:
45*23455/76 = 133887.82894736
what is the value of d+3
Answer:
you need to explain
Step-by-step explanation:
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
What is the value of y if f||n
?????
Answer:
y = 148°
Step-by-step explanation:
4x - 18 = 2x + 12 (alternate exterior angles are congruent)
Collect like terms
4x - 18 = 2x + 12
4x - 2x = 18 + 12
2x = 20
Divide both sides by 2
x = 10
y = 180 - (2x + 12) (linear pair theorem)
Plug in the value of x
y = 180 - (2(10) + 12)
y = 180 - (20 + 12)
y = 148°
The diagram represents the enlargement of a rectangle by using a scale factor of 6.
A rectangle has a length of 30 feet and width of 6 feet.
What are the dimensions of the original rectangle?
Answer:
lenght of 5 feet and width of 1 feet
Step-by-step explanation:
30/6=5
6/6=1
Answer:
lenght of 5 feet and width of 1 feet
Step-by-step explanation:
30/6=5
6/6=1
Step-by-step explanation: like what that peson said! way to go and good luck on your test!
What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8
(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?
Answer:
1.) x=2y-4
2.) x=2y-4 :)
Answer:
[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]
1
A. (f = g)(x) = 2 - 4
.
true or false
Answer:
=-2
Step-by-step explanation:
x=-(4-2)
Answer:
false
hope this helps
Amit’s school bus travelsat 36km/hr and Sushma’s school bus travels at 11 m/s. Whose school bus is faster ?
Answer:
This answer is not originally mine so Don give me credit
Step-by-step explanation:
Amit's school bus in m/s will be
36×1000/3600
36 × 10/36
= 10 m/s
While sushma's school bus has speed of 11 m/s
so sushma's school bus is faster than Amit's school bus
Answer:
Amit's: 10 m/s
Sushma's 11 m/s
Step-by-step explanation:
Amit's:
36 x 1000/3600
36 x 10/36
Sushma's:
11 m/s
Sushma's school bus is faster than Amit
which triangle could be drawn as is it described
Answer:
you didnt add the attachment
Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x
How many purses must she sell in order to break even?
A. 5
B. 6
C. 7
D. 8
Answer:
The correct answer is: Option D: 8
Step-by-step explanation:
Given that she spent $208 on the sewing machines
And
the equation for profits to break even is:
208 + 10x = 36x
In order to find the number of purses to break even, we have to find the value of x
So,
[tex]208+10x=36x[/tex]
Subtracting 10x from both sides
[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]
Dividing both sides by 26
[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]
The number of purses is 8
Hence,
The correct answer is: Option D: 8
Answer:
D is correct.
Step-by-step explanation:
Write an equation of the line below
Answer:
ok.
Step-by-step explanation:
y=-1/1x+4. hope this helped :))
Answer: y= -8/8x + 4
or y=-x+4
Step-by-step explanation:
I just want ppl to check, extra points too!
Answer:
thats correct
Step-by-step explanation:
i had that on my test and i ot it right
Evaluate 15 squared show work
Answer:
225
Step-by-step explanation:
15x15=225
There is a cool trick you can do. Lets take 28 and square it.
First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.
You are left with these two numbers, 26 and 30. Add a zero to the 26.
You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)
Then you multiply by 3.
260x3=780
Then you add the square of the number you rounded up too, which is 2.
You are left with this equation.
(2^2)+780= 784
28x28=784.
This works for numbers below 100 and integers
Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1
given f(x)=2x-5, find x when f(x)=9
Answer:
x = 7
Step-by-step explanation:
9 = 2x - 5
add 5 to both sides
14 = 2x
divide by 2 to get x by itself
x = 7
Evaluate the function.
g(x)=10x+3
g(19.6)=
Answer:
199
Step-by-step explanation:
plug in x=19.6, then
g(19.6) = 10 * 19.6 +3= 199
the diagonal of a square is 3√2 then find its length
hope that this answer helps you.
Solve the following problems:
Find x , y PLEASE HELP
Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
Solve (10b+7b^2-6b^3)-(12b^2-3b^3)
Answer:
-3b³ - 5b² + 10b
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(10b + 7b² - 6b³) - (12b² - 3b³)
Step 2: Simplify
Distribute negative: 10b + 7b² - 6b³ - 12b² + 3b³Combine like terms (b³): -3b³ + 10b + 7b² - 12b²Combine like terms (b²): -3b³ - 5b² + 10bPaulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Answer:
4 pounds
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs
7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds
Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase
Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds
= 7/8 × 32/7
= 4 pounds
Therefore, Rebecca's suitcase weighs 4 pounds.
HELP WHATS THE ANSWER
Answer:
The answer is 0, hope this helps
Find the 61st term of -12, -28, -44,
Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500
Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
Find the value of x. Will give brainliest
Answer:
x = 11
Step-by-step explanation:
Angle CAB = 33 degrees (Z-figure)
Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.
Sum of all angles in the triangle should equate to 180 degrees.
Now the sum is of all angles in triangle ABC is:
CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x
So 213 - 3x should equal 180.
213 - 3x = 180 <=> -3x = -33 <=> x = 11
Please helppppppopppp
Answer:
a..
Step-by-step explanation:
human activities have drastic effects on biomes match the human activities with the biomes they primarily
To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
yards shorter would it be if Julie took the diagonal shortcut, x?
16 yd
63 yd
х
A
(10
Answer:
65 yd
Step-by-step explanation:
The image of this walking path of Cristal is missing, so i have attached it.
From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.
Thus, we can use pythagoras theorem to find the area. Thus;
x² = 16² + 63²
x = √(16² + 63²)
x = √4225
x = 65 yd
Refer to - KLMN
2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =
Answer:
[tex]m∠1 + m∠2 = 180[/tex]
Step-by-step explanation:
[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]
[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]
[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]
[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]
[tex]360 - 2(60) = m∠2 + m∠4[/tex]
[tex]360 - 120 = m∠2 + m∠4[/tex]
[tex]240 = m∠2 + m∠4[/tex]
[tex] \frac{240}{2} = m∠2 = m∠4[/tex]
[tex]120 = m∠2 = m∠4[/tex]
[tex]m∠2 = 120 \\ m∠4 = 120[/tex]
[tex]m∠1 = 60 \\ m∠3 = 60[/tex]
[tex]m∠2 = 120 \\ m∠4 = 120[/tex]
[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]
[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]
[tex]2(60) + 2(120) { = }^{?} 360[/tex]
[tex]120 + 240 { = }^{?} 360[/tex]
[tex]360 = 360[/tex]
[tex]m∠1 + m∠2 [/tex]
[tex]60 + 120 = 180[/tex]
[tex]m∠1 + m∠2 = 180[/tex]