Answer:
No
Step-by-step explanation:
40/10 = 4
10/40 = 0.25
Is there a pattern behind prime numbers?
Answer:
There is a rule on how we find prime numbers.
Step-by-step explanation:
A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes.That's because, after the number 5, there are only four possibilities — 1, 3, 7, and 9 — for prime last digits
Does anyone know the answer
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
Fine the area of the regular figure
Answer:
139.5 mm
Step-by-step explanation:
The area of a geometric shape with all sides of equal length is:
A (1/2)nsr
n = the number of sides
s = the length of the sides
r = the length of the apothem
The apothem is the line going from the center point of the shape to the middle of one of the sides.
A = (1/2)(5)(9)(6.2)
A = (1/2)279
A = 139.5 mm
In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?
Which of the following values is NOT a solution to |4x - 6| - 12 > 8?
A. 10
B. 7
C. 4
D. -5
Answer:
Option C
Step-by-step explanation:
Given :-
| 4x -6| -12>8Options :
1074-5We can check the options , as ,
[tex]:\implies[/tex] Option 1 : 10
| 4*10-6|-6>8| 40 - 6| - 6 > 8| 34 | - 6 > 834 - 6 > 8 28 > 8 ( a solution )[tex]:\implies[/tex] Option C : 4
| 4*4 -6 | -6 > 8| 16 - 6 | - 6 > 8| 10| - 6 > 810 - 6 > 84 > 8 ( not a solⁿ )Hence option C is not a solution .
find the rule for the following geometric sequence: 4, -12, 36, -108, ....what is n7
Answer:
the rule is *-3,n7=-2916
Step-by-step explanation:
n4=108
n5=108*-3=-324
n6=-324*-3=972
n7=972*-3=-2916
Which of the following irrational numbers will result in a rational number when squared? Put a check mark next to all correct answers.
Answer:
The square root of 7 and the square root of 2
Step-by-step explanation:
Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6). Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level. 2.041 1.5486 1.2743 2.536
Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:
[tex]H_0: p = 0.6[/tex]
The alternate hypothesis is:
[tex]H_1: p > 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = \sqrt{0.6*0.4}[/tex]
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that [tex]n = 100, X = \frac{70}{100} = 0.7[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}[/tex]
[tex]z = 2.04[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
The midpoint M of CD has coordinates (5, 8). Point C has coordinates (4,8). Find the
coordinates of point D.
Write the coordinates as decimals or integers.
D=
Submit
4
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample mean is 2.98 and the sample standard deviation is 0.09. Find a 90% confidence interval for the population mean length of nails produce by the machine. Please input the upper limit of the confidence interval
Answer:
The 90% confidence interval for the population mean length of nails produced by the machine.
(2.91562, 3.04438)
Step-by-step explanation:
Step:1
Given that the size of the sample 'n' = 10
Given that the mean of the sample (x⁻) = 2.98
Given that the standard deviation of the sample (s) = 0.09
Degrees of freedom = n-1 = 10 -1 = 9
t₀.₁₀ = 2.2621
Step:2
The 90% confidence interval for the population mean length of nails produced by the machine.
[tex](x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )[/tex]
[tex](2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )[/tex]
(2.98 - 0.06438 , 2.98 + 0.06438)
(2.91562 , 3.04438)
Final answer:-
The 90% confidence interval for the population mean length of nails produced by the machine.
(2.91562, 3.04438)
Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?
0 = –3x – 5 + x2
0 = x – 3 – 5x2
0 = 3x – 5 – x2
0 = –3x + 5 – x2
Answer:
Option (a) is correct.
For given values a = 1 , b = -3 , c = -5 the quadratic equation is
Step-by-step explanation:
Given : a = 1 , b = -3 , c = -5
We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.
The standard form of quadratic equation is , where a, b, c are constant integers.
Given : a = 1 , b = -3 , c = -5
Then Substitute, we get,
Thus, the obtained quadratic equation is same as option (a)
Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is
The equation for which a-value 1, ab-value -3 and ac-value -5 is 0=-3x-5+x².
What is quadratic equation?
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
Here, a-value = 1,
ab-value = -3
ac-value = -5
a = 1, b = -3, and c = -5
General Equation,
ax² + bx + c = 0
1x² + (-3)x + (-5) = 0
x² -3x -5 = 0
Thus, the equation for which a-value 1, ab-value -3 and ac-value -5 is 0= -3x -5 + x².
Learn more about Quadratic Equation from:
https://brainly.com/question/1863222
#SPJ2
Samantha is playing a game with the spinner shown below. If she spins te spinner 24 times, how many times is the spinner likely to land on 1?
A. 8 times
B. 16 times
C. 12 times
D. 4 times
Answer:
Step-by-step explanation:
Find the area of the shaded figure in the diagram below. Use 3.14 for π and round your answer to the nearest hundredth.
A. 39.57in^2
B. 66.89 in^2
C. 200.67 in^2
D. 118.72 in^2
Answer:
D
Step-by-step explanation:
diameter of 1 circle = 21.3/3= 7.1
radius of 1 circle= 7.1/3=3.55
area of 1 circle =πr^2=3.14× (3.55)^2=39.57
area of 3 circle= 39.57×3=118.72
therefore,area of shaded portion= area of 3 circle =118.72
Use the figure to find the measures.
Lateral area =
Total area =
Volume =
Answer:
Lateral area = 2.pi.r.h = 2 x pi x 2 x 3 = 12 pi
Total area = lateral area + pi. r^2 . 2 = 20 pi
Volume = pi . r^2 . 2 . h = 24 pi
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all.
33.6252768.48
Expression Value of the Expression
[
4
×
(
4
+
3
)
]
−
3
[
(
7
−
5
)
÷
1
2
]
×
2
(
5
.
4
+
3
)
×
(
6
−
2
)
[
9
÷
3
+
6
]
×
3
(
4
+
3
.
2
)
×
[
(
9
−
2
)
+
2
.
5
]
Answer:
[4*(4+3)]-3 = 25
[(7-5)-: 1/2]*2 = 8
((5.4+3)*(6-2)) = 33.6
(9)/(3)+6)*3 = 27
(4+3.2)*[(9-2)+2.5] = 68.4
Step-by-step explanation:
The perimeter of a square is 36 feet. If you increase the length by 3 feet and decrease the width
by 2 feet, what is the area of the new figure?
Answer:
84 feet
Step-by-step explanation:
If the perimeter is 36 feet, and all the sides are the same length, then all the sides are 9. if we increase the length by 3 feet and decrease the width by 2 feet then we are left with 12 * 7 = 84
Ashley was given the following problem and she drew a bar diagram to help her solve the problem.
Julie is 5 years younger than her sister, Molly. The sum of their ages is 37. How old is each sister?
Identify the error that Ashley made in creating her diagram and explain to her how to fix it.
Answer:
Julie is 16 years old and Molly is 21 years old.
Step-by-step explanation:
Given that Julie is 5 years younger than her sister, Molly, and the sum of their ages is 37, to determine how old is each sister the following calculation must be performed:
(37 - 5) / 2 = X
32/2 = X
16 = X
(16 + 5) + 16 = X
21 + 16 = X
37 = X
Therefore, Julie is 16 years old and Molly is 21 years old.
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
please helpppppp this is due in about 20 mins!!
what is the surface area of this rectangular prism?
Answer:
Step-by-step explanation:
2 surfaces that are 5x7
2 surfaces that are 4x7
and the top and bottom that are 4x5
2*5*7 = 70
2*4*7 = 56
2*4*5 = 40
total surface is 166 [tex]cm^{2}[/tex]
Answer:
166 square centimeters
Step-by-step explanation:
Surface area of a rectangular prism can be found by finding the area of each of the six surfaces of the prism. Remember that opposite sides on a rectangular prism are equal to each other, as they have the same side lengths. Because of this, the equation for surface area can be described as: 2lw + 2lh + 2wh. In this case, the length l is represented by 5cm, the width w is 4cm, and the height h is 7 cm. Now you can solve for the surface area:
SA = 2lw + 2lh + 2wh
SA = 2(5 x 4) + 2(5 x 7) + 2(4 x 7)
SA = 2(20) + 2(35) + 2(28)
SA = 40 + 70 + 56
SA = 166
Recall that units of area are given as square units, and the measure of this rectangular prism is given in centimeters. The answer is then given in square centimeters.
SA = 166 square centimeters
Choose Equivalent or Not Equivalent
a. 6(3x+5) and 18x+30
b. 12y+3 and 3y+12
A pet store sold 274 cans of cat food last weekend for a total of $216.46. What was the price per can?
Answer:
Compare them ➗That's the answer
When Elijah left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Elijah's battery, as a percentage, can be modeled by
the equation B = 27 – 4.5t, where t is the number of hours since Elijah left his
house. What is the slope of the equation and what is its interpretation in the context
nf the problem?
Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
5.
Multiply.
(3x + 2)(x - 3)
Answer: 3x^2 - 7x - 6
Step-by-step explanation:
Answer:
3x^2-7x-6
Step-by-step explanation:
(3x+2)(x-3)
3x^2-9x+2x-6
3x^2-7x-6
Hope this helps.
A rectangle has an area of 99 square in. What is the length of the long side?
Answer:
The longer length is either 99, 33 or 11 inches
Step-by-step explanation:
Given
[tex]Area = 99[/tex]
Required
The length of the longer side
Area of a rectangle is:
[tex]Area = Length * Width[/tex]
List out all possible products that give 99 [Assume the dimension are whole numbers]
[tex]Length * Width = 99 * 1 = 99[/tex]
[tex]Length * Width = 33 * 3 = 99[/tex]
[tex]Length * Width = 11 * 9 = 99[/tex]
List out the longer factors
[tex]L = \{99, 33, 11\}[/tex]
Hence, the longer length is either 99, 33 or 11 inches
the question is on the image
ans]=71
x-10=61
x=61+10
x=71
i need help with 1 and 3 the slope is 3/4
Answer:
3y
Step-by-step explanation:
Answer:
y intercept is 4
the equation is y= 3/4 + 4
Slope intercept equation y=mx+b
Find the percent of change and state whether it was a percent of increase (I) or percent of decrease (D). from $289 to $762
Answer:
163.67 ( I )
Step-by-step explanation:
Please help I’m stuck
Answer:
On wat
Step-by-step explanation:
Answer: 2 Don't know
Step-by-step explanation:
If the scale of the map is 1 inch = 125 miles, two points that are 3.75 inches apart will actually be approximately how many miles away from each other? 292 375 469 1,125
Answer:
469 miles
Step-by-step explanation:
1 in = 125 miles
3.75 in =?
3.75 x 125 = 468.75 miles
468.75 rounds up to 469 miles