Answer:
This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.
You would use less than or equal to if your inequality can be equal to a number. Here's an example.
John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.
x + y (equal to or less than) 45
John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.
x + y < 45
Use this model to calculate
3/8×2/6
Answer:
0.1249
Step-by-step explanation:
that's what answer my calculator gives me. Hope that helped. <3
xoxo
Answer:
6/48 or 1/8 when simplified
Step-by-step explanation:
find the diagonal that goes through the 3D shape.
Answer:
Diagonal = 13 yd
Step-by-step explanation:
The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²
Where,
a = 12 yd
b = 3 yd
c = 4 yd
d = diagonal
Plug in the values
d² = 12² + 3² + 4²
d² = 169
d = √169
d = 13 yd
PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh
Answer: Angle VUW and QRP are alternate exterior angles.
They are both exterior and are on alternate sides of the transversal.
Hope this helps!
Please help :)
And explain how
Find the value of 5x + 3y when x = 6 and y = 7
Answer:
Answer is 51
Step-by-step explanation:
5(6) + 3(7)
30 + 21
51
Answer:
first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51
Step-by-step explanation:
5x+3y
5(6)+3(7)
30+21
51
hope this helps
luego le digo 4yo1 xkw k
Answer:
okay luego le digo 4yo1 xkw k
Step-by-step explanation:
someone please help me answer this!!
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
8.5 m
Step-by-step explanation:
If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = sqrt(72)
c = 6sqrt(2) = 8.5
Answer: 8.5 m
Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?
Answer:
1507.96
Step-by-step explanation:
) Study cited that the calcium levels in men and women ages 70 years or older are summarized that sample size of 55 men with mean 785 and standard deviation 489 and sample size of 40 women with mean 670 and standard deviation of 419, what is the probability of obtaining a difference between sample means of 110 mg or more?
Answer:
0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the central limit theorem and difference between normal variables.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal sample means:
When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.
Sample size of 55 men with mean 785 and standard deviation 489
This means that:
[tex]\mu_A = 785[/tex]
[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]
Sample size of 40 women with mean 670 and standard deviation of 419
This means that:
[tex]\mu_B = 670[/tex]
[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]
Difference between sample means:
The mean and the standard deviation are, respectively:
[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]
[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]
What is the probability of obtaining a difference between sample means of 110 mg or more?
This is 1 subtracted by the pvalue of Z when X = 110. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 115}{93.47}[/tex]
[tex]Z = -0.053[/tex]
[tex]Z = -0.053[/tex] has a pvalue of 0.4812.
1 - 0.4812 = 0.5188
0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more
3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial
Answer:
c
Step-by-step explanation:
A quadratic trinomial has the form of ax² + bx + c
e.g. 3x² + 4x + 2
A quadratic binomial has the form of ax² + bx
e.g. 3x² + 4x
A cubic binomial has the form : ax³ + bx
3x³ + 4x
How much interest would $1,000 earn in one year at a rate of 6%, compounded annually? What would be the new balance?
Please, help me!
Answer:
The investment will generate $ 60 in interest, with which the new balance will be $ 1060.
Step-by-step explanation:
To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:
1000 x (1 + 0.06 / 1) ^ 1x1 = X
1000 x 1.06 ^ 1 = X
1000 x 1.06 = X
1060 = X
Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.
pick the Quadrant that you would plot (4,2)
A. Quadrant III
B. Quadrant II
C.Quadrant IV
D.Quadrant I
Answer:
D.) Quadrant I
Step-by-step explanation:
The quadrants start from Quadrant I (in the top left) and continue counter-clockwise to Quadrant II, Quadrant III, and Quadrant IV
Quadrant I = (+,+)
Quadrant II = (-,+)
Quadrant III = (-,-)
Quadrant IV = (+,-)
Now in this case, (4,2) is positive in the x value, and positive in the y value - so it belongs in Quadrant I!
Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters
Answer:
1500 millimeters is your answer
Simplify fully
4x2 + 4x
2x² – 2
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning
A random sample of 30 males with online dating profiles are recruited for a study about lying in online dating profiles. Each male's actual height is measured and compared to the height posted in their online profile. The difference between the online profile height and the actual height (profile- actual) for each male is computed. The mean difference in height is determined to be 0.57 inches with a standard deviation of 0.81 inches. Determine a 95% confidence interval for the difference in mean profile height and mean actual height of online daters.
Answer:
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 30 - 1 = 29
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.
The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
pls help me on this !!!
Answer:
9
Step-by-step explanation:
To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].
Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].
144+[tex]b^{2}[/tex]=225
subtract 144 from both sides
[tex]b^{2}[/tex]= 81
[tex]\sqrt{b^{} } = \sqrt{81}[/tex]
b=9
Consider the function f(x) = 2 + 2x - 15. What are the x-intercepts of the function?
Answer:
x=6.5
Step-by-step explanation:
I got the x- intercept as 6.5 because I found the x value when y equals 0.
0=2+2x-15
Next, I added 2+-15 and got -13.
0=2x-13
Then, I added 13 to both sides so that I could have x by itself.
13=2x
Next, I divided 2 on both sides so I could find the value of x.
6.5= x
In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
What is 2/3x2/5pls I need an answer fast sorry I suck at math
Answer:
4 /1 5 also 0.26666666666
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Phil ate 2/3 of a Pizza. Erica eight 4/9 of the same sized pizza. Who ate more pizza? Explain
Answer:
Phil ate more
Step-by-step explanation:
The LCD of both fractions is 9. Thus,
Phil ate 6/9 of a pizza while
Erica only ate 4/9 of the same sized pizza
The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs. Alternative hypothesis[tex](H_a)[/tex] is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]
So, [tex]H_a: \text{Mean =5.8}[/tex]
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
if $1000 is divided among the three people In the ratio 2:3:5,find the share of each
Answer:
$200, $300, $500
Step-by-step explanation:
Given data
Total Amount= $1000
Ratio= 2:3:5
The combined ratio is = 10
Let us apply the part to all method to find the individual amount
The first person will take
10/1000= 2/x
1/100=2/x
cross multiply
x= 200
The second person will take
10/1000= 3/x
1/100=3/x
cross multiply
x= 300
The third person will take
10/1000= 5/x
1/100=5/x
cross multiply
x= 500
PLEASE HURRYYYYYYYYY
Answer:
12r ft
Step-by-step explanation:
you're welcome have a nice day
You deposit $2000 in an account that pays 7% interest compounded semiannually. After 5 years, the interest rate is increased to 7.28% compounded quarterly. What will be the value of the account after a total of 10 years?
The value of the account will be $_____. (Round to the nearest dollar as needed.)
9514 1404 393
Answer:
$4047
Step-by-step explanation:
For an interest rate r compounded n times per year for t years, the effective multiplier is ...
(1 +r/n)^(nt)
The multiplier for the first 5 years is ...
(1 +0.07/2)^(2·5) = 1.41059876
The multiplier for the last 5 years is ...
(1 +0.0728/4)^(4·5) = 1.43437218
Then the account value at the end of 10 years is ...
$2000(1.41059876)(1.43437218) ≈ $4047 . . . . balance after 10 years
Write an expression for " x divided by nine".
Please help!!
10 POINTS
Answer:
x/9
Step-by-step explanation:
x divided by 9
=> x ÷ 9
Take that and turn it into a fraction
=> x/9
hope this helps and is right. p.s. i really need brainliest :)
Answer:
45
Step-by-step explanation:
Just really need a answer to this Savvas question!
Answer:
Solution given:
radius=r=2cm
height=h=9cm
Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³
The required volume is 36π0r 113.1cm³
A task force to encourage car pooling did a study of of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 workers was taken. The results are below:One-Way Commuting Distance (miles) Mean12.03333333Standard Error0.712268068Median14Mode16Standard Deviation5.517204729Sample Variance30.43954802Kurtosis-0.84324231Pearson's-1.069382104Range19Minimum1Maximum20Sum722Count60True or False
Answer:
TRUE
Step-by-step explanation:
using the given data for the one way commuting of workers we can conclude that the spread is = 0.458493468
hence the correct option is TRUE
One way commuting is traveling of passengers using a single lane in both directions
many do apply pls helpn
Answer:
a and b
Step-by-step explanation:
i think b i know a for sho
Answer:
32w+3
Step-by-step explanation:
8x4w=32w and you are left with the 3, so it ends up 32w+3
I need the value of Y
9514 1404 393
Answer:
y = 6
Step-by-step explanation:
Let's call the marked angles A, B, C, clockwise from upper left.
Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.
A+90 = C
4x +90 = 11x -8
98 = 7x
14 = x
Then angle A is ...
A = 4x° = 4(14)° = 56°
__
Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.
A = B
56° = (9y +2)°
54 = 9y
6 = y
The value of y is 6.
PLEASE LOOK AT THE IMAGE BELOW (I MARK BRAINLIEST!)
Answer:
1.True
2.False
3.False
Step-by-step explanation:
1. b is less down the number line than a
2. a is more down the number line and the positive version is higher
3. positive is bigger than negative
For the plane curve defined by x = 7 cos t, y = 5 cos t, for t in [0, 2π] the ordered pair that corresponds to t = π/6 is ___
Answer:
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
Step-by-step explanation:
We are given the following plane curve:
[tex]x = 7 \cos{t}[/tex]
[tex]y = 5 \cos{t}[/tex]
Ordered pair for a value of t:
We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]
[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]
[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]