Answer:
m=-32
Step-by-step explanation:
-2=m/16
-2×16=m
-32=m
m=-32
Answer:
m=-32
Step-by-step explanation:
-2×16=m
-32=m
m=-32
Using traditional methods, it takes 8.6 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 26 students and observed that they had a mean of 8.4 hours with a standard deviation of 1.0. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures
Step-by-step explanation:
Traditional procedure bring as μ = 8,6 h
Sample Information:
Sample size n = 26
Sample mean x = 8,4
Sample standard deviation s = 1
With n = 26 unknown population standard deviation, and population with normal distribution we should use t-student test
then n = 26 degree of freedom df = n - 1 df = 25
significance level 0,1 with that information we look in t-student table t (c) ( two tails test)
t(c) = - 1,708
Test Hypothesis
Null hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
Alternative hypothesis indicates that the test should considered two tails
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 8,4 - 8,6 )/ 1/√26
t(s) = - 0,2 * 5,09 / 1
t(s) = - 1,019
Comparing |t(s)| and |t(c)|
1,019 < 1,708 |t(s)| < |t(c)|
t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures
Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.
Answer:
22 minus 4 = 18
18 divided by 3 is equal to 6
then following from the question now that we got the answer
so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22
your welcome
Answer:
6
Step-by-step explanation:
let x be the number of cards
3x + 4 = 22
3x = 18
x = 6
A. Without using pencil and paper to actually find the products, how will the product of 3 x 10.6 compare to the product of 2.7 x 10.6? Explain your answer.
B. How will the product of 2.7 X 10.6 compare to the product of 3 X 10.6? Explain your answer.
how do i answer these i forgot all this-
Answer:
Step-by-step explanation:
in A , because we are multiplying a number by the same number in each case, 10.6 we know, that the 3 as compared to the 2.7 , will make a bigger number 3*10.6 is greater than 2.7 * 10.6 , it's just a quick way to make sure our answer is good
in B, as above, we know that 2.7*10.6 will be less than 3*10.6 see?
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
Find the area of each figure.
1536in (for rectangle). 288in (for triangle)
Area of rectangle: 48in* 32in = 1536 in
Area of triangle: 48in*12in÷1/2= 576/2=288in
Formula of area of triangle is b*h divided by 2
Formula of area of rectangle is length*width
Hope this helps!
Figure A ~ Figure B
Figure A
Figure B
1 ft
3 ft
V = 6 cu ft
Find the volume of Figure A.
Answer:
the answer is
162ft3
Step-by-step explanation:
If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?
Answer:
$20
Step-by-step explanation:
2=10
4=20
can two fractions with the same numerator and different denominators be equal
Answer:
No, it cannot be equal
Step-by-step explanation:
For example: 1/2 and 1/4
1/2 represent in 2 pieces you are getting one piece.
1/4 represent in 4 pieces you get one piece
Give the system, X + y = 15 3x - y = 9, find the value of x and y
Answer:
(x,y)=(9/77,684/77)
Step-by-step explanation:
X + y = 15 3x - y = 9
=154x=18
x=9/77
9/77+y=9
y=684/77
=(x,y)=(9/77,684/77)
Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty
Answer:
1. C: three | V: y
2. C: 7 | V: p
3. C: four | V: x
4. C: sixteen, ten | V: k
5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)
6. C: six, twelve | V: p
7. C: twenty, eight | V: h
8. C: four, five | V: x
9. C: fifteen | V: f
10. C: two, forty | V: d
Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?]
Answer:
Step-by-step explanation:
V = L * W * D
V = 9 * 7 * 3
V = 189 cm^3
Answer: 189
Step-by-step explanation: 3*9*7
what is 313 3/5 x 65
Answer
20384
Step-by-step explanation:
asap
Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?
Answer:
25 dfferent ways
Step-by-step explanation:
The answer is 25 different ways because since there are students and thy line up behind each other you would do 5 times 5 which equals to 25.
what is the slope of the line shown?
If an object is projected upward into the air from ground level, then the height h(t) of the object
in feet at time t in seconds is given by:
h(t) = -16t^2+ 344t
How long does it take for the object to hit the ground? SHOW ALL WORK clearly and neatly - do not skip
steps. The show all work part cannot be stressed enough.
Answer:
21.5secs
Step-by-step explanation:
Given the function that models the height of an object as
h(t) = -16t^2+ 344t
The object hit the ground at h(t) = 0
Substitute
0 = -16t^2+ 344t
16t^2 = 344t
16t = 344
t = 344/16
t = 21.5
Hence it takes 21.5secs for the object to hit the ground
help. ...................................:))))))))))))))
Answer:
4in²
Step-by-step explanation:
area of rectangle = l x b = 4 x 1 = 4in²
Answer:
4 in²
Step-by-step explanation:
4x1 is 4 so the answer is 4
Jim got 46 out of 60 correct on a test. What is the best estimate of the percent Jim got correct ?
Answer-
77
Step-by-step explanation:
i rounded 76.67% (which was the exact percentage of 46 out of 60)
2- 77%
Answer:
About 76.5% (77%)
Step-by-step explanation:
well start with the simple fractions. 40/60 is 2/3 which is 66.66666 repeating.
If we know it increased at least 5 more that is 45/60 which is 3/4, since 15 * 4 = 60, so 15 * 3 = 45.
We could say without getting too specific that every point will have about a 1.5 or more % increase since if it was out of 100 points every 1 question is +1 % and 50 points every question is +2 %. Since this is 60 it will be roughly about 1.6%
Ok the point is, about 76.5% (77%)
cAlCulAtOrS ExiSt SkOoL Hw
Please help .. would be appreciated
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?
Answer:2.2%
Step-by-step explanation:
Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008
Answer:
-6.075
Step-by-step explanation:
simple addition/subtraction
we multiply all the terms by "-1"
we add the first three terms then subtract the last from it
Which of the following functions is NOT a linear function?
A y = 5
B
y == 5x
C y = 5(x - 2)
D y == 5x – 2 + x?
A. y = 5, is the correct answer.
B, C, D are all able to form into the y = mx + b equation, so it's not correct. A is not able to form that equation, therefore, A is correct. Hope that helps :)
Can someone help with this question plz
Answer:
A: 2x + 13 = 59
Step-by-step explanation:
1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:
12+2x+1=59
Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59
An Internet service provider sampled 540 customers and found that 55 of them experienced an interruption in their service during the previous month. Construct a 95% confidence interval for the proportion of all customers who have experienced a service interruption. (0.080, 0.123) (0.873, 0.924) (0.076, 0.127) (0.102, 0.898)
Answer: a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
Step-by-step explanation:
Let p be the population proportion of all customers who have experienced a service interruption.
Confidence interval for p:[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, n= sample size, z* = critical z-value.
Given: n = 540
[tex]\hat{p}=\dfrac{55}{540}=0.102[/tex]
z* = 1.96
The required confidence interval:
[tex]0.102\pm (1.96)\sqrt{\dfrac{0.102(1-0.102)}{540}}\\\\=0.102\pm (1.96)(0.013024)\\\\=0.102\pm$$0.02552704\\\\=(0.102-$$0.02552704, 0.102+0.02552704)\\\\\approx(0.076, 0.127)[/tex]
Hence, a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
the area of a rectangle with a height of 2 and a width of 5x^2-2x+3
Answer:
Area is 10x^2 - 4x + 6
Step-by-step explanation:
To find this area, multiply the width and height together:
(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6
Which two integers is √123 between?
9514 1404 393
Answer:
11 and 12
Step-by-step explanation:
√123 ≈ 11.0905 lies between 11 and 12.
__
Since you're familiar with your squares, you know ...
11^2 = 121
12^2 = 144
123 lies between 121 and 144, so √123 lies between 11 and 12.
If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of the substance will be present after 6 yr?
∫(cos3x+3sinx)dx integration
Answer:
[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]
Step-by-step explanation:
We need to integrate the given expression. Let I be the answer .
[tex]\implies\displaystyle I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]
Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .Rewrite using du and u .[tex]\implies\displaystyle I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \boxed{\boxed{\displaystyle I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}[/tex]
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3
Answer:
B
Step-by-step explanation:
sara mailed 20 christmas cards. of them were mailed to canada. what percentage of the cards were mailed to canada
Answer:
45%
Step-by-step explanation:
9/20