Answer:
x = -1
Step-by-step explanation:
x+5-4x=8
-5 -5
x-4x=3
-3x=3
/-3 /-3
x=-1
1.03 – 0.06
subtracting Desimals of Different Lengths 1c
Rick and Lisa each have their own cookie jar Rick's cookie jar is 7/8 full and Lisa is 5/8. Fraction represents how much more of Rick's jar is full than Lisa?
Answer:
2/8 is the right answer your welcome
2/8 of a jar more full.
Tip: ALWAYS circle the numbers or key information to get the best results.
Watch what happens!
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Some key information in this problem is 7/8, and 5/8.
Since they asked us how much more and what fraction represents it, we should subtract 5/8 from 7/8 to find how much more full Rick's jar is than Lisa's.
7/8 - 5/8 = 2/8
So in summary, Rick's jar is 2/8 more full than Lisa's jar.
8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48
Answer:
Twenty four (24)
Step-by-step explanation:
8 ÷ one third
one third = 1/3
8 ÷ 1/3
= 8 × 3/1
= 24/1
= 24
Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters for a sample of 8-year-old boys. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heights in Centimeters Class Frequency 116.1 - 120.0 38 120.1 - 124.0 24 124.1 - 128.0 28 128.1 - 132.0 43 132.1 - 136.0 29
Answer:
[tex]s^2 = 0.9938[/tex] --- sample variance
[tex]s = 0.9969[/tex] --- sample standard deviation
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Heights} & {Frequency} & {116.1-120.0} & {38} & {120.1-124.0} & {24} &{124.1-128.0} & {28} & {128.1-132.0} & {43} & {132.1-136.0} & {29} \ \end{array}[/tex]
Required
Calculate the sample variance and sample standard deviation
First, we calculate the midpoint of each class:
[tex]\begin{array}{ccc}{Heights} & {Frequency} & {m} &{116.1-120.0} & {38} & {118.05}& {120.1-124.0} & {24}& {122.05} &{124.1-128.0} & {28} &{126.05}& {128.1-132.0} & {43} & {130.05} &{132.1-136.0} & {29} &{134.05}\ \end{array}[/tex]
The midpoints are calculated by taking the average of the class intervals.
For instance:
Class 116.1 to 120.0 has a midpoint of
[tex]m = \frac{1}{2}(116.1+120.0)[/tex]
[tex]m = \frac{1}{2}(236.1)[/tex]
[tex]m = 118.05[/tex]
The same approach is applied to other classes.
Next, is to calculate the mean:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
In this case, it is:
[tex]\bar x = \frac{\sum fm}{\sum f}[/tex]
Where
[tex]m = midpoint[/tex]
So, we have:
[tex]\bar x = \frac{118.05*38+122.05*24+126.05*28+130.05*43+134.05*29}{38+24+28+43+29}[/tex]
[tex]\bar x = \frac{20424.10}{162}[/tex]
[tex]\bar x = 126.07[/tex]
The sample variance (s^2) is:
[tex]s^2 = \frac{\sum(m - \bar x)^2}{\sum f -1}[/tex]
This gives:
[tex]s^2 = \frac{(118.05-126.07)^2+(122.05-126.07)^2+(126.05-126.07)^2+(130.05-126.07)^2+(134.05-126.07)^2}{38+24+28+43+29-1}[/tex]
[tex]s^2 = \frac{160.002}{161}[/tex]
[tex]s^2 = 0.9938[/tex]
The sample standard deviation (s) is:
[tex]s = \sqrt{s^2[/tex]
[tex]s = \sqrt{0.9938[/tex]
[tex]s = 0.9969[/tex]
Quick I need it help
Answer:
8 hours
Step-by-step explanation:
it's increasing by 6 so at the end there's a reminder of 2.
Answer:
7
Step-by-step explanation:
60-16=44
44÷6≈7
Please please help!! I really need help on this question
Answer:
They purchased 20 ounces of candy total
Step-by-step explanation:
just add 12 + 8
=20 ounces
The first three terms of a sequence are given .Round to the nearest thousand (if necessary) 13,22,31, find the 31st term
Answer
The sum of this sequence is 66
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select
Answer:
Part a:
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
Step-by-step explanation:
Data as given
H 0: μ ≤ 50 against the claim H a: μ> 50 one tailed test
Z (0.05)= ± 1.645
Sample size n= 50
Using the central limit theorem
Population Standard Deviation= σ=s=6
X= 52.5 , 51 and 51.8
Part a:
Z= x-μ/ s/ √n
Z= 52.5- 50 / 6/ √50
Z= 2.5/0.84853
z= 2.946
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
Z= x-μ/ s/ √n
Z= 51- 50 / 6/ √50
Z= 1/0.84853
z= 1.17851
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
Z= x-μ/ s/ √n
Z= 51.8- 50 / 6/ √50
Z= 1.8/0.84853
z= 2.1213
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
The points (6, -23) a
and
(11, r) lie on a line with slope 4. Find the missing coordinate r.
HELP ME PLEASE ITS DUE IN 2 HOURS I NEED HELPPP I WILL MARK BRAINLIEST HELPPP PLSSSSS
Answer:
[tex]r=-3[/tex]
Step-by-step explanation:
The line that passes through the two points (6, -23) and (11, r) has a slope of 4.
We want to determine the missing value of r.
We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:
[tex]\displaystyle \frac{r-(-23)}{11-6}=4[/tex]
Simplify and evaluate:
[tex]\displaystyle \frac{r+23}{5}=4[/tex]
Multiply both sides by 5:
[tex]r+23=20[/tex]
Therefore:
[tex]r=-3[/tex]
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
A. 504 units(squared)
B. 436,8 units(squared)
C. 218 units(squared)
D. 283,2 units(squared)
Answer:
D. 283.2 units²
Step-by-step explanation:
Surface area of the triangular prism = 2×Base Area + Perimeter of triangular base×height of prism
Base Area = ½*bh
b = 6 km
h = 5.2 km
Base area = ½*6*5.2 = 15.6 km²
Perimeter of triangular base = 6+6+6 = 18 km
Height of prism = 14 km
Plug in the values into the equation
Surface area of triangular prism = 2×15.6 + 18×14
= 31.2 + 252
= 283.2 km²
The equation of line k is y = -6/7 x + 10. Line m is perpendicular to line k and passes through (-3, -5). What is the equation of line m?
Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers
Answer:
SOMEONE HURRY AND ANSWER THIS
Step-by-step explanation:
Each of the following statements is correct in at least one number system. That is, the statement is correct if we assume the numbers are expressed in a base other than 10. It is up to you to find out which number base makes each statement correct. You need to justify your answer by converting the numbers in each operation to base 10 and showing that the statement is correct. For example, 36/6 = 7 is clearly not correct in base 10, but it is correct in base 12 because 3612 = 4210 and 4210/610 = 710.
Thus, 3612/612 = 712 is true.
a) 42/3 = 13
b) 23 + 44 + 14 + 32 = 223
Answer:
(a) Base 7
(b) Base 5
Step-by-step explanation:
(a) 42/3 = 13 testing base 7 we have:
4x7¹ + 2x7° = 28 + 2 = 30
3x7° = 3
1x7¹ + 3x7° = 7 + 3 = 10
30/3 = 10. Therefore, 42/3 = 13 is in base 7.
(b) 23 + 44 + 14 + 32 = 223. Testing base 5 we have:
2x5¹ + 3x5° = 10 + 3 = 13
4x5¹ + 4x5° = 20 + 4 = 24
1x5¹ + 4x5° = 5 + 4 = 9
3x5¹ + 2x5° = 15 + 2 = 17
2x5² + 2x5¹ + 3x5° = 50 + 10 + 3 = 63
13+24+9+17 = 63.
Therefore, it was done in base 5.
How many square feet of outdoor carpet will
we need for this hole?
?
6 ft
2 ft
2 ft
3 ft)
5 ft
3 ft)
12 ft
Please
Answer:48 ft to the second power
Step-by-step explanation:
I just got it right on iready
The area of the outdoor carpet that needed for the hole should be considered as the 48 ft².
Calculation of the area:
Since
we know that
Area of the rectangle = Length (breadth)
here,
L = 12 ft
b = 5 ft
So,
area = 12 × 5
= 60 ft²
Now
The cut off triangle area
area = 1/2 × base × height
= 1/2 × 4 × 3
= 12/2
= 6 ft²
Now
The cut off rectangle area should be
area = Lb
= 3 × 2
= 6 ft²
Now finally
The area of the outdoor carpet should be
= 60 - 6 - 6
= 48 ft²
learn more about an area here: https://brainly.com/question/17971267
A letter home to the parents of seniors at Westgate High School says, "a simple random sample of 30 Westgate seniors that took the SAT-M test this year produced a mean of 512 and a standard deviation of 95. A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is Group of answer choices
Answer:
It's 99%
Step-by-step explanation:
It just is.
A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is 99%. The correct option is D.
What is the percentage?The percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.
Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Therefore, the correct option is D, 99%.
To learn more about percentages, refer to the link:
https://brainly.com/question/28269290
#SPJ5
The question is incomplete. Your most probably complete question is given below:
90%
92%
95%
99%
over 99.9%
help pls i'll give brainliest, are they inverses or not explain why or why not
The equation of a function is
y = 12x - 7. What is the output when the input is 5?
A. 50
B. 53
C. 56
D. 60
ANSWER NEED URGENTLY PLEASE •_•
Answer:
6. 49
7. 58
Step-by-step explanation:
6.3x-25+x+9=180
4x-16=180
4x=196
x=49
7. y=x+9=49+9=58
What is the surface area of the solid...?
1. 9p - 4 = 41
2. 6y + 3 = 15
3. -4h + 8 =36
Answer:
1: P= 4.9 2:Y=2 3:H=-7
Step-by-step explanation:
What is the slope of a line that passes through (1,5) (4,6)?
Answer:
m= 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
need to solve vertex angle
Answer:
Step-by-step explanation:
I don’t know what was going on with those middle angles but adjacent angles must sum to 180 which 100 and 30 does not satisfy. The two upper angles must be (360-2(84))/2=96. It follows that the lower adjacent angles must be 180-96=84, just like the angles at top. Anyway the angle j must satisfy
j+2(84)=180
j+168=180
j=12 degrees
Which figure best represents a rhombus?
Answer:
it's the second one a rhombus is a diamond
The cost of a set of DVDs after a 25%
markup can be represented by the
expression c + 0.25c. Simplify the
expression.
Answer:0.75c
Step-by-step explanation
So for this problem, 100% - 25% = 75%.
The equivalent equation will be 0.75c.
What to the power of 2 equals 9/16
4
3
As the power holds a negative, this means that we can put 1 over
9
16
, which is equal to
16
9
leaving us with;
(
16
9
)
1
2
The power of
1
2
is also another way of writing the square root;
=
√
16
9
From here you can find the square roots of 16 and 9, and giving you your final answer;
=
4
3
Step-by-step explanation:
(A)² = 9/16
A = 3/4 and -3/4
Need help please. Thank u
work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
17. Answer the following question
A satellite moves at a speed of 2.4 x 104 km/h.
Work out how long it will take for the satellite to move a distance of 3.2 x 109 km.
Give your answer in standard form to 3 significant figures.
Step-by-step explanation:
2.4 x 104= 249.6
3.2 x 109= 348.8
249.6 to 3 sig is 250
348.8 to 3 sig is 349.
I hope this answers your question.
Please nominate me as brainliest, if it's correct please
What is the percent of change of 14 to 10, rounded to the nearest 10th of a percent
Answer:
jnjnj
Step-by-step explanation:
yes
j jlnjknjkl.n
njn
jnjnjnjn
A tailor has 100 square yards of cotton and 120 square yards of wool material. it takes 2 square yards of each type to make a sports coat. It takes 1 square yard of cotton and 3 square yards of wool to make a pleated skirt. The tailor already has orders for at least 15 sport coats and 5 skirts. If the tailor sells each coat for $40 and each skirt for $45, how many of each garment should be made in order to fill the orders and maximize profit.
Answer:t
Takes 2 Square Yards Of Each Type To Make A Sports Coat. It Takes 1 Square Yard Of Cotton And 3 Square Yards Of Wool To Make A Pleated Skirt.
Step-by-step explanation:
hope that is what you were needing