Answer:
F
Step-by-step explanation:
x = 26-9
Answer:
F. 17
Step-by-step explanation:
There would only be one answer choice, and to find this, all you can do is subtract 9 from both sides, like so:
x + 9 = 26
- 9 - 9
________
x = 17
This means that when you plug in 17 for x, the answer will come out to 26.
The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams.
Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper. However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Below are the sodium measurements (in milligrams) from a sample of 20 Jupiter Bars:
88 93 99 104
98 103 96 99
111 90 108 98
101 112 104 102
105 101 95 104
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
a) Test whether the sample provides evidence at the 5% level of significance that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Answer:
We conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Step-by-step explanation:
We are given that there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
Let [tex]\mu[/tex] = average sodium content in all Jupiter Bars.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 96 milligrams {means that the average sodium content in all Jupiter Bars is equal to 96 milligrams}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 96 milligrams {means that the average sodium content in all Jupiter Bars is actually more than 96 milligrams}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean sodium content = 100.55
s = sample standard deviation = 6.304
n = sample of Jupiter bars = 20
So, the test statistics = [tex]\frac{100.55-96}{\frac{6.304}{\sqrt{20} } }[/tex] ~ [tex]t_1_9[/tex]
= 3.228
The value of t test statistics is 3.228.
Now, at 5% significance level the t table gives critical value of 1.729 at 19 degree of freedom for right-tailed test.
Since our test statistic is more than the critical value of t as 3.228 > 1.729, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
Unit Te
4.05 Unit
EN OP
60 cm
120 cm
3007 cm
12007 cm
Answer:742 cm^3
Step-by-step explanation:
Height=h=12cm
Radius=r=5cm
π=3.14
volume of cylinder=π x r^2 x h
Volume of cylinder=π x r x r x h
Volume of cylinder=3.14 x 5 x 5 x 12
Volume of cylinder=742 cm^3
A cube with side length mmm has a volume of 343343343 cubic centimeters. The following equation shows the volume of the cube.
m^3 = 343m
3
=343m, cubed, equals, 343
What is the side length of the cube in centimeters?
Answer:7cm
Step-by-step explanation:
m^3=343
Take the cube root of both sides
m=7
Solve 20x = 10 for x. A. x = 1/2 B. x = 1.5 C. x = 2 D. x = 10
Answer:
A. 1/2
Step-by-step explanation:
20x=10
Divide 20 on both sides of the equation to get x by itself
20x=10
___. __
20. 20
x =1/2
Answer:
A) x= 1/2
Step-by-step explanation:
20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!
Find the slope, if it exists, of the line containing the points (-1,-15) and (-17,-20)
The slope is _____________________
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
A. X=6 only
Step-by-step explanation:
Ammariah has finished 17/20 of her homework. How much more does she have to complete.
A.15/100
B.6/10
C.3/10
D.6/20
EXPLAIN
Answer: A 15/100
Step-by-step explanation:
1. Convert 17/20 into percents
2. You get 85% Which is how much of her homework she has completed
3. To find what she has left subtract 85 from 100
4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete
3. Jada is making a scale model of the solar system. The distance from Earth to the
moon is about 2.389 x 10 miles. The distance from Earth to the sun is about
9.296 X 10' miles. She decides to put Earth on one corner of her dresser and the
moon on another corner, about a foot away. Where should she put the sun?
o On a windowsill in the same room?
o In her kitchen, which is down the hallway?
o A city block away?
Explain your reasoning.
Answer:
kitchen
Step-by-step explanation:
if a foot is 2.389 then i would be pretty far but not a block away
What is the sixth term in the sequence 3, 6, 11, 18
Answer:
38
Step-by-step explanation:
3 to 6 is an add by 3 then 6 to 11 is an add by 5 then 11 to 18 is an add by 7 each add is increased by 2 so the next add will be 9 giving you 27 then you will add 11 because it's increased by two giving you 38
line s has a slope of 2/5. line t is perpendicular to s. what is the slope of line t
Answer:
-5/2
Step-by-step explanation:
In order to find the slope of a perpendicular line: negate the reciprocal of the original slope
The number 65 is decreased to 62. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:4.6
Step-by-step explanation:
Percentage decrease=(65-62)/65 x 100
Percentage decrease=3/65 x 100
Percentage decrease=(3x100)/65
Percentage decrease=300/65
percentage decrease=4.6
What’s the correct answer for this?
help ASAP! giving BRAINLIEST if awnsered correctly!
Answer:
C. (5x + 6) (5x - 6)
Step-by-step explanation:
25 is a perfect square, meaning its two factors are identical (5), and 36 is also a perfect square with two identical factors (6). With this information, we can split the expression below like this:
[tex]25x^2 - 36\\(5x ) (5x )[/tex]
Since 36 is negative, we have to have a positive 6 and a negative 6:
(5x - 6) (5x + 6)
Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible.
Contains (3, 3); perpendicular to the line y = 2x - 1
Answer:
y = (-1/2)x + 9/2
Step-by-step explanation:
the equation of a straight line can be written as;
y = mx + c ......1
Where;
m = slope
c = intercept
For two lines to be perpendicular their slope must be opposite reciprocal of each other.
m1 × m2 = -1 .....2
Given;
The equation Contains (3, 3); and perpendicular to the line y = 2x - 1
Slope of the given equation m1 = 2
Slope of the line m2; substituting m1 to equation 2.
2 × m2 = -1
m2 = -1/2
So,
y = (-1/2)x + c
To solve for c, let's substitute the given point on the line; (3,3).
3 = (-1/2)(3) + c
3 = -3/2 + c
c = 3 + 3/2
c = 9/2
Therefore, the equation of the line that has the given properties is;
y = (-1/2)x + 9/2
What point appears to be the solution to the system of
equations shown in the graph?
Answer:
x = -2
y= -5
is the solution of the system of equations
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
D. 96
F. 32
Step-by-step explanation:
The inequality 3x ≥ 96, means that x and 3 must be multiplied to get a product that is greater than 96. So to figure this out, you must plug in the numbers given for x, like so:
3x ≥ 96
A. 3(31) ≥ 96
93 ≥ 96 This is incorrect since 93 is not greater than 96
A tip that makes this easier is that, you can see that 31 multiplied by 3 is 93, which is only a couple numbers off 96, so all numbers after 31 will result in a product greater than 96. For example:
D. 3(96) ≥ 96
288 ≥ 96 This inequality is correct
F. 3(32) ≥ 96
96 ≥ 96
The inequality sign states that the number must be either greater or equal to 96, which it is.
29. Find the circumference.
11
a. 3.14
b. 69.08
c. 121
Answer:
b.69.08
Step-by-step explanation:
formula:
c=2(pi)r
c=2(pi)11
Answer:b
Step-by-step explanation:
radius=r=11
π=3.14
Circumference=2 x π x r
Circumference=2 x 3.14 x 11
Circumference=69.08
What is the classification for this polynomial?
7
Click on the correct answer.
monomial
binomial
trinomial
Answer:
7 is monomial
Step-by-step explanation:
An expression with only one term is called a monomial
✌️;)
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,500, and the commission for each new account opened is $5,000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.
(a) Determine the equation for computing Gustin's profit per seminar, given values of the relevant parameters. Profit = (New Accounts Opened × ) –
(b) What type of random variable is the number of new accounts opened? (Hint: Review Appendix 11.1 for descriptions of various types of probability distributions.)
(c) Choose the appropriate spreadsheet simulation model to analyze the profitability of Gustin's seminars. (I) (II) (III) (IV) Would you recommend that Gustin continue running the seminars?
(d) How many attendees (in a multiple of five, i.e., 25, 30, 35, . . .) does Gustin need before a seminar's average expected profit is greater than zero?
Answer:
a) profit = (new account opened x 5000) -3500
b) Opening account is binomial distribution with n =25 and p = 0.01
c) Probability of loss is 0.77781 --I don't recommend the company that it running the seminar
d) n ≅ 71
Step-by-step explanation:
See attached image
Fie triunghiul ABC isoscel cu AB=AC=3 cm daca mediatoarea laturi AC intersectat cu latura BC in M si perimetrul thriunghiului AMC=12 cm.Calculati MC
Answer:
MC = 4.5cm
Step-by-step explanation:
Question:
Let the isosceles triangle ABC with AB = AC = 3 cm. if the mediator of the sides AC intersects with the side BC in M and the perimeter of the triangle AMC = 12 cm. Calculate MC.
Solution:
Find attached the diagram used in solving the question.
Given:
∆ABC is an isosceles triangle (two sides and angles are equal)
AB = BC = 3cm
Perimeter of ∆AMC = 12cm
From the diagram, M cuts AC at the the middle.
AD = CD = AC/2 = 3/2
Perimeter of Right angled ∆AMD = AM + AD + MD
= 3/2 + AM +MD
Perimeter of Right angled ∆CMD =CM + CD + MD
= 3/2 + CM +MD
Right angled ∆AMD = Right angled ∆CMD
CM = AM
Therefore ∆AMC is an isosceles triangle
CM = AM (two sides of an isosceles triangle are equal)
Let CM = AM = x
Perimeter of ∆AMC = AM + CM + AC
12 = x + x + 3
12 = 2x + 3
2x = 12-3
2x = 9
x = 9/2 = 4.5
CM = AM = 4.5cm
MC = CM = 4.5cm
What is the slope of the line
Answer:
4/5
Step-by-step explanation:
There are so many points on the graph whose coordinates are impossible to estimate. Look for two "nice" points--points with integer coordinates. The line passes through (-2, 0) and (3, 4).
Slope = rise / run. It's the ratio of vertical change to horizontal change as you move from one point on the line to another.
Moving from (-2, 0) to (3, 4), the vertical change is 4 - 0 = 4.
The horizontal change is 3 - (-2) = 5.
The slope is 4/5
Sam conducted a survey to determine your favorite flavor of ice cream is his hometown. 15 of the 50 people he surveyed liked strawberry best. How many of the 3,500 residents in the town would you expect to like strawberry best
Answer: 1050 people.
Step-by-step explanation: It's a rule of three question.
15/50 as x/3500
Then you have that 50x = 52500
x = 1050
There you have it.
when multiplying two negative intergers what is the sign of the product
Answer:
A Positive
Step-by-step explanation:
Two negatives cancel out and make a positive.
For example: -5 x -6 = 30
Kevin goes to the grocery store and buys a box of cereal, a family size box of cereal, a candy bar, and a king sized candy bar. He notices that the family sized box of cereal is twice as big as the regular box of cereal and the king size candy bar is twice as big as the regular candy bar. Kevin believes that because the family sized box of cereal and king sized candy bar are twice the size that the volume is also twice the size. Is Kevin correct in his thinking?
Need help on this assignment it is due VERY SOON
All have something to do with area of composite figures. Please help. I'd be very greatful.
Answer
the first photo answer is 174 (2nd photo is A) Answer to 3rd photo is 72. The last photo is 8100 ft²
Step-by-step explanation:
1st Photo
12 x 12 is 144
5 times 12 divided by 6 - (5 x 6) 30
144 plus 30 is 174
2nd Photo
3 x 5 15
15 is A
3rd Photo
6 x 12 is 72
72 for 3rd Photo
4th Photo
90 x 90 is
8,100
Simplify the expression below.
14a8y3 - 7 Ay5 + 28a12y2
7aty
A.
OB.
2a²y3 - ay5 + 4a3y2
2a4y? - JA + 428 y
2a4y3 – 5 + 428 y?
D. 2012,4 - 2876 +4215,3
C.
Answer:
14a8y3 - 7 Ay5 + 28a12y2- 7ay2 • (4a11 + 2a7y - y3)
Step-by-step explanation:
Equation at the end of step 1 :
(((14•(a8))•(y3))-(7a•(y5)))+((22•7a12)•y2)
Step 2 :
Equation at the end of step 2 :
(((14•(a8))•(y3))-7ay5)+(22•7a12y2)
Step 3 :
Equation at the end of step 3 :
(((2•7a8) • y3) - 7ay5) + (22•7a12y2)
Pull out like factors
Answer: 7ay2 • (4a11 + 2a7y - y3)
Hope this helps.
Solve (x + 6)2 = 64.
Answer:
x=26
Step-by-step explanation:
(x+6)2=64
x+6=32
x=26
Answer:
Here is the solution. Mark as brainlist please.
What is the median of the following set of data ?
56.2 112.8 90.4 95.5 103.7 87.6 99.1 112.4 59.7
Answer: 95.5
Step-by-step explanation:
If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5
5×60=5×___tens
=_____tens
=______
Answer:
300
Step-by-step explanation:
5x60=5x6 tens it equal to 30 tens. 30 tens equals 300
Answer:
see below
Step-by-step explanation:
there are 6 tens in 60!
5x60 = 5 x 6 tens
= 30 tens
= 300
a businesswoman sells a bag for $52.32, thereby making a profit of 9% on the cost of her. calculate the selling price the businesswoman should ask in order to make 20% profit
Answer: $57.6
Step-by-step explanation:
Given : A businesswoman sells a bag for $52.32.
Let cuurent selling price : SP = $52.32
As they are making 9% profit now.
That means SP= Cp +0.09 CP , where Cp is the cost price of bag.
i..e [tex]52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}[/tex]
[tex]\Rightarrow\ 52.32=Cp(1.09)\Rightarrow\ CP=\dfrac{52.32}{1.09}=48[/tex]
i..e Cost price of bag = 48
Selling price to gain 20% profit = Cp+0.20CP
= CP(1+0.20)
=48 (1.20)
= 57.6
Hence, the selling price the businesswoman should ask in order to make 20% profit = $57.6