Answers
Answer :
6 : Margaret has 30 50-cent coins and 26 10-cent coins
let 'x' represent the number of 50-cent coins, then '56-x' represents the number of 10-cent coins
17.60 = 0.5x + 0.1(56-x)
solving for 'x' we have x=30
56-30 = 26
7 : Total money = $29.40
mich money = m dollar,
amy money = (3/4)m dollars,
Total = m + 3m/4 = 29.40,
4m+3m = 4*29.4,
7m = 117.6,
m = 117.6/7 = 16.8
Hence,
Michelle's money = $16.80
Amy money = $12.60
8 : (a) The amount of milk in a carton is normally distributed with a mean of 260 millilitres (mL) and a standard deviation of 8 mL. Every milk carton is labelled with the serving size as 250 mL. (i) What is the probability that a randomly selected carton has more than the labelled serving? [3 marks) (ii) Determine the amount of milk in a carton for which only 7.08% of cartons fall below this amount. [3 marks (iii) Find an interval around the mean y = 260mL such that 95% of all milk cartons fall within this interval. (5 marks)
9 : a=3, b=5
So b+2 = a+4 = 4a-b
b=a+2
3a=b+4
b=2a-1
Hence
2a-1=a+2
10 : original dimensions of rectangle, length = 18cm and width = 10cm
Let length and width = L and W.
from statement "A rectangle has perimeter 56 cm. If 4 cm is taken from the length and added to the width, the rectangle becomes a square", you can deduce
2L + 2W = 56 ( its sides make up its perimeter )
L - 4 = W + 4
L = W + 8
sub L = W + 8 into 2L + 2W = 56
2 ( W + 8 ) + 2W = 56
2W + 16 + 2W = 56
4W = 40
W = 10
sub W = 10 into L = W + 8
L = 10 + 8 = 18
Answer:
someone already answered it i just wanted points thanks
Related Questions
Which number is less than 9 5/8
Answers
Answer:
9 1/10
Step-by-step explanation:
can someone help me with this?
Answers
Answer:
X = 25
Step-by-step explanation:
As, 2x + 60° + 4x = 180° (bc they r supplementry)
So, 6x + 30° = 180°
6x = 180° - 30°
6x = 150°
x = 150/6
x = 25
Therefore, answer = 25
Im really dumb i need help and can you also explain it
Answers
Proportion:
12 = x
— —
6 5
Cross multiply.
70= 6x
Divide each side by 6
X= 11.67
(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a state senate race. Let p represent the proportion of registered voters who would vote for the Republican candidate. Consider testing 0:=.50 H 0 : p = .50 :>.50 H a : p > .50 (a) The test statistic is z =
Answers
Answer:
The test statistic is Z = 1.157
Step-by-step explanation:
Given that:
The sample size n = 1200
The sample proportion of those that will vote for the Republican candidate is represented by [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{620}{1200}[/tex]
[tex]\hat p =0.5167[/tex]
The null and the alternative hypothesis can be computed as:
[tex]H_o: P=0.50 \\ \\ H_a :P>0.50[/tex]
The formula for the one-sample Z-test for the population proportion can be expressed as:
[tex]Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}[/tex]
[tex]Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}[/tex]
[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}[/tex]
[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}[/tex]
[tex]Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}[/tex]
Z = 1.157
Testing the hypothesis, from the information given, it is found that the test statistic is z = 1.157.
The null hypothesis is:
[tex]H_0: p = 0.5[/tex]
The alternative hypothesis is:
[tex]H_1: p > 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 1200, \overline{p} = \frac{620}{1200} = 0.5167[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.5167 - 0.5}{\sqrt{\frac{0.5(0.5)}{1200}}}[/tex]
[tex]z = 1.157[/tex]
The test statistic is z = 1.157.
A similar problem is given at https://brainly.com/question/24166849
What is 6825x25 please help
Answers
Answer:
170625
Step-by-step explanation:
170,625.................
Two percents are shown below:
1. 25% of 60
2. 10% of 150
Are these amounts equivalent? Explain why or why not.
Answers
Multiply 10% by 150, the answer is 15.
1/2(8x-20)=1/4(12x+32)
Answers
Answer:
x=18
Step-by-step explanation:
4x-10=3x+8
4x-3x
x-10=8
8+10
y=x+2 y=-3X
solve system of equations algebraically
Answers
Answer:
(x,y) = -1/2 , 3/2
Step-by-step explanation:
Let y = x +2 ----- (1)
y = -3x ------ (2)
Put equal both sides x +2 = -3x
x = -3x -2
x +3x = -2
4x = -2
x = -1/2 Put it in 2nd equation
Y = -3 (-1/2)
y = 3/2
so (x,y) = -1/2 , 3/2
Hope you got it.
Please Mark as Brainliest.
2. 3 2/5 ÷ 4/5
HELP PLS I NEED THE ANSWER
Answers
4.25 is DECIMAL FORM
17/4 is exact form
4 1/4 is mixed form
HOPE THIS HELPS :)
DOK Nitter Email You might need: Calculator Find the area of a circle with a radius of 8. Either enter an exact answer in terms of or use 3.14 for and enter your answer as units2
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Answer:
about 201.06
Step-by-step explanation:
PLEASE HURRY 45 POINTS!!! which function is best represented by the graph A. g(x)=(1/3) B. g(x)=6(3) C. g(x)=6-(1/3) D. g(x)=6-(3)
Answers
Answer:
it is d. i had that question and i got it right
Step-by-step explanation:
The given line in the graph is represented by the equation g(x) = 6 - (3). The correct option is D.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph the straight line is represented by the function g(x) = 6 - ( 3 ). The graph of the line is matched with the answer below.
To know more about the graph follow
https://brainly.com/question/25020119
#SPJ2
HELPPPPPPPP!!!!!!!!!!
Answers
Answer:
answer is b your welcome
I need help ASAP ???
Answers
what is 10 times smaller than 0.6
Answers
Answer:
0.06
Step-by-step explanation:
Kate wants to spend less than $100 per day to rent a car. A car rents for $45 per day plus $0.25 per mile. Write, solve, and graph an inequality for the amount of miles she is able to drive while staying within her budget.
Answers
To rent a car:
Minimum amount per day= $45
Amount per mile= $0.25
Hence amount spent depends on distance travelled.
If distance travelled= x; fee for travel= 0.25x
Hence finally we need the fare to be less than $100
And fare is $45+0.25x
So the final inequality is 0.25x+45<100.
Hope it helps.
PLEASE HELP I don’t k is the answer
Answers
Answer:
B
Step-by-step explanation:
8. Evaluate the expression for x = 2
and y = 3.
16x0 + 5x2•y1
Answers
Answer:
The answer is 60.
Step-by-step explanation:
16(2)0 + 5(2)2•(3)1
(16)(2)(0)+(5)(2)(2)(3)(1)
16×2=32×0=0 + 5×2=10×2=20×3=60×1=60
0+60=60
Helppp!!!
37.37 x 7.6
Answers
Answer:
284.012
Step-by-step explanation:
Hope this awnsers your question!
Answer:
284.012
Step-by-step explanation:
what's the c ??
easy question solve it and get points...
hints : a is 116 and b is 64
Answers
Answer:
64 degrees
Step-by-step explanation:
It is the same amount of degrees as the original one.
solve for z −cz+6z=tz+83
Answers
Answer: z=83/c - 7 + t
Step-by-step explanation:
What is the slope of the line that passes through the points (-2,8) and (-22,8)
Answers
Answer: m = 0
Step-by-step explanation:
Answer:
m=0
Step-by-step explanation:
The slope formula is: m=y1=y2/x2=x1
where (x₁, y₁) and (x₂,y₂) are the points on the line.
The points given are (-2,8) and (-22,8). Therefore,
x1=-2
y1=8
x2=-22
y2=8
Substitute the values into the formula.
m=8-8/-22-2
Solve the numerator. Subtract 8 from 8.
m=0/-22+2
Zero divided by any number is zero, so we automatically know the slope is zero.
m=0
The slope of the line is 0
Milan bought 13 pounds of rice for $7. How many dollars did he pay per pound of rice?
Answers
Answer:
$1.86
Step-by-step explanation:
You would do 13/7 which is 1.85714... which when rounded to the nearest hundredth is 1.86
Hope this helps!
Answer:
About $0.54 per pound
Step-by-step explanation:
7 ÷ 13 = 0.538461
Six students bought exactly enough pens to share equally among themselves. Which of the following could be the number
of pens they bought?
Answers
Answer:
6 12 18 24 30 36 42 48 54 60
Step-by-step explanation:
Answer:
b. 48
i found the answer key lol
In ΔNOP, o = 3.6 cm, ∠N=119° and ∠O=5°. Find the length of n, to the nearest 10th of a centimeter.
Answers
Answer:
36.1
Step-by-step explanation:
Just did it on delta math
16/12 = x/3 what's x
Answers
Answer:
16/12 = x/3
x = 4
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
16/12 = x/3
Cross multiply on both side
16×3=12x
48=12x
X=48/12
X=4
Value of X is 4
Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink? HURRY IN TEST RN
Answers
Drinks cost $3
what is slope intercept
Answers
Answer:
Slope Intercept is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Step-by-step explanation:
y-3x=-2 and 7x- 2y=8
Answers
Answer:
thx for the free
Step-by-step explanation:
2. Slope intercept y=7/2x-4
Mrs. Smith uses an automatic bill pay service to pay their monthly electric bill. So far this
year they have paid $843.36 over 8 months. How much has Mrs. Smith paid per month?
Answers
Como pasar una potencia de negativa a positiva ?
Answers
Answer:
Cuando tenemos un exponente negativo hay que INVERTIR LA BASE para pasar a exponente positivo. Fíjate que el poner el inverso de la base no significa cambiar el signo de la misma. Al final el signo del resultado dependerá de si el exponente es par o impar. Con las fracciones ocurre lo mismo.
