Answer:
The remainder is 6 !
Step-by-step explanation:
The remainder of the equation A = 46 / 8 is r = 6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the remainder of the equation be denoted as = r
Let the dividend number be = 46
Let the divisor number be = 8
Now , the equation is represented as = A
The value of A is given by
A = 46 / 8
Now , the remainder will be
5 x 8 = 40
Substituting the values in the equation , we get
Dividend - 40 = 6
Therefore , the remainder of the equation A is 6
Hence , The remainder of the equation A = 46 / 8 is r = 6
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Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.
Answer:
0.0809
Step-by-step explanation:
Given that :
Mean(m) = 16000
Standard deviation (s) = 1500
Probability that the life span of the monitor will be more than 18,099
P(x > 18099)
Using the Zscore formula :
Zscore =(x - m) / s
Zscore = (18099 - 16000) / 1500
Zscore = 2099 / 1500
Zscore = 1.399
P(Z > 1.399)
Using the Z probability calculator :
P(Z > 1.399) = 0.080906
= 0.0809
What describes θ when an ellipse is created from an intersection of a plane and double-napped cone?
θ = α
θ = 90⁰
α < θ < 90⁰
0⁰ ≤ θ < α
Answer:
C: a < θ < 90%
Step-by-step explanation:
Please help me!!!
Write the following comparison as a ratio reduced to lowest terms.
25 nickels to 25 dimes
Answer:
[tex]N:D = 1: 2[/tex]
Step-by-step explanation:
Given
Represent Nickels with N and Dimes with D
[tex]N=25[/tex]
[tex]D=25[/tex]
Required
Write as a ratio to lowest term
Ratio of Nickels to Dime is represented as N:D
[tex]N:D = 25\ nickels : 25\ dimes[/tex]
Convert nickels to dollar
[tex]N:D = 25\ * \$0.05. : 25\ * \$0.10[/tex]
[tex]N:D = 1.25 : 2.5[/tex]
Divide through by 1.25
[tex]N:D = 1.25/2.25 : 2.5/1.25[/tex]
[tex]N:D = 1: 2[/tex]
Hence, the ratio to lowest term is 1:2
A car travels 180 miles in 3 hours. how far did it travel in 1 hour
Answer:
60
Step-by-step explanation:
JKL is given with J (-1,1), K (4,4), and L (5,1). What is the area of JKL? Justify your response.
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
The base JL is a horizontal line. Its length is 5-(-1) = 6.
The height is the difference between the y-coordinate of K and the y-coordinate of the horizontal line: 4 -1 = 3.
The formula for the area of a triangle is ...
A = (1/2)bh
A = (1/2)(6)(3) = 9 . . . square units
The area of ∆JKL is 9 square units.
Answer:
9 units
Step-by-step explanation:
shorter answer
What is 1/2 divided by 1/4 in the simplest form?
Answer:
2
Step-by-step explanation:
1/2 divided by 1/4 rewritten is 1/2 times 4/1 equels 4/2. In its simplest form 2.
1/2 divided by 1/4 in the simplest form is 2.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.
Given that the expression 1/2 divided by 1/4.
simplifying,
1/2 divided by 1/4 = 1/2 ÷ 1/4
Rearranging into the multiplication form,
1/2 divided by 1/4 = 4/2
1/2 divided by 1/4 = 2
Therefore, the simplest form of 1/2 divided by 1/4 is 2.
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4x – 4y = -16
please help find the y value
Answer: y=x+4
Step-by-step explanation:
if you need to find the y
we divide the equation by 4
x-y=-4
add y on both sides
y=x+4
What is the Y and X in this problem?
Answer:
there is no problem
Step-by-step explanation:
4x + 2x + 2 = 3x - 7
How many solutions
Answer:
One solution (x = -3)
Step-by-step explanation:
4x + 2x + 2 = 3x - 7
6x + 2 = 3x - 7
3x = -9
x = -3
Evaluate the expression 9 + (7 - 4)2 + 3.
06
O3
0 18
O 12
Answer:
18
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiply/Divide (from left to right)
Add/Subtract (from left to right)
Victoria is an actuary for an insurance company. She recently compiled this table to help her determine health insurance premiums for the upcoming year. Consider the likeliness of each individual to have a need for health insurance. Order the individuals from least to greatest need for health insurance. Profile Description Probability of Visiting a Doctor for Injury or Illness This Year 18-year-old male athlete 16% 78-year-old male nonsmoker 53% 65-year-old female smoker 76% 26-year-old female nonsmoker 14% 45-year-old male smoker 39% 32-year-old female nonsmoker 20%
Answer:
Here is the order (considered % at the end to be a criteria)
26-year-old female nonsmoker 14% 18-year-old male athlete 16% 32-year-old female nonsmoker 20%45-year-old male smoker 39% 78-year-old male nonsmoker 53% 65-year-old female smoker 76%Answer:
26
18
32
45
78
65
least to greatest
Suppose a triangle has sides 1,1, and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
O B. The triangle in question is not a right triangle.
C. The triangle in question may or may not be a right triangle.
SUBMIT
Answer:
B.it is an equilateral triangle not a right triangle
what is the difference of the fractions? 5/6 - 4/6
Answer
[tex]--------------------------------------------[/tex]
[tex]\frac{5}{6}-\frac{4}{6}[/tex] = [tex]\frac{1}{6}[/tex]
[tex]0.8333333333[/tex] - [tex]0.6666666667[/tex] = [tex]0.1666666666[/tex]
[tex]\frac{1}{6}[/tex] = [tex]0.1666666666[/tex]
[tex]It's[/tex] [tex]\frac{1}{6}[/tex] [tex]because[/tex] [tex]5-4[/tex] = [tex]1[/tex]
[tex]and[/tex] [tex]the[/tex] [tex]denominator[/tex] [tex]is[/tex] [tex]the[/tex] [tex]same.[/tex]
[tex]So[/tex], [tex]it's[/tex] [tex]\frac{1}{6}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
in hostel of 40 students there is food for 30 days if 20 more students join the hostel how long will the food last
Answer:
The food will last for 20 days
Step-by-step explanation:
The equation of the inverse proportional is xy = k, where k is the constant of variation
∵ In a hostel of 40 students, there is food for 30 days
→ That means the food is the constant k and the number of days y
varies inversely with the number of students x
∴ x = 40 and y = 30
∵ xy = k
∴ 40 × 30 = k
∴ 1200 = k
∴ The equation of the inverse proportional is xy = 1200
∵ 20 more students join the hostel
→ That means the number of students increased by 20
∴ The number of students in the hostel = 40 + 20
∴ The number of students in the hostel = 60
→ By using the equation above
∵ 60 × y = 1200
∴ 60y = 1200
→ Divide both sides by 60
∴ y = 20
∴ The food will last for 20 days
Find the perimeter of the following shapes to 1 d.p take r =3.14
Answer:
The perimeter is 19.7
Step-by-step explanation:
The question is not complete and there is no attachment. Nevertheless, we can make do with the given information.
we can picture that the shape is a circle and we are required to find the perimeter/circumference of the circular shape
Given
The radius r= 3.142
Step two:
the perimeter/circumference is expressed as
C=2πr
C= 2*3.142*3.142
C= 19.7
eat breakfast at a cafe. the total check was $5. here's the money he left period why did he pay $5.75?
Answer:
Tip.
Step-by-step explanation:
Since to total is $5 that means all taxes are already counted for.
He added the 75 cents as a tip.
Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mart stores, 100 random items were scanned. The researchers found that 52 of the 60 stores had more than 2 items that were priced inaccurately (the national standards allow a maximum of 2 items out of 100 items priced accurately by the scanners). a) Construct a 95% confidence interval for proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned and give a practical interpretation of this interval. (3 Points) b) Wal-Mart claims that 99% of its stores comply with the national standard on accuracy of price scanners. Comment on the believability of Wal-Mart’s claim based on your results in part (a). (1 Point) c) Determine the number of Wal-Mart stores that must be sampled in order to estimate the true proportion to within 0.05 with 90% confidence. (3 Points)
Answer:
a
The 95% confidence interval is
[tex] 0.7811 < p < 0.9529 [/tex]
Generally the interval above can interpreted as
There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval
b
Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable
c
[tex] n = 125 \ stores [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 60
The number of stores that had more than 2 items price incorrectly is k = 52
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{ n }[/tex]
=> [tex]\^ p = \frac{ 52 }{ 60 }[/tex]
=> [tex]\^ p = 0.867[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{ 0.867 (1- 0.867)}{60} } [/tex]
=> [tex]E = 0.0859 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex] 0.867 - 0.0859 < p < 0.867 + 0.0859 [/tex]
=> [tex] 0.7811 < p < 0.9529 [/tex]
Generally the interval above can interpreted as
There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval
Considering question b
Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable
Considering question c
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n= [\frac{1.645 }}{0.05} ]^2 * 0.867 (1 - 0.867 ) [/tex]
=> [tex] n = 125 \ stores [/tex]
A(n) _____ transition shows that one event happened before another. Some examples of this type of transition are "so," "therefore," "hence," and "as a result. "A.contras tB.cause-and-effect C.order-of-importance
D.summary
Using the table below, evaluate whether a monkey's age in years is a function of its height in inches.
Answer:
There is no function since there is no association between all the numbers
Step-by-step explanation:
If you were to put them in a graph they would be every where and make there be no function.
What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible
Answer:
HL
Step-by-step explanation:
In both triangle, hypotenuse and one leg is congruent. So, HL congruent
Write the expression as a radical.
Answer:
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
Step-by-step explanation:
Let us consider the expression
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
Writing the expression as a radical
But, let us revise some rules:
[tex]\sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]
let us solve now
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]
[tex]=5^{\frac{3}{2}}\left(ab\right)^{\frac{3}{2}}[/tex] ∵ [tex]\:5^{\frac{3}{2}}=5\sqrt{5}[/tex]
[tex]=\left(5ab\right)^{\frac{3}{2}}[/tex]
[tex]=\left(5ab\right)^{3\cdot \frac{1}{2}}[/tex]
[tex]=\left(\left(5ab\right)^3\right)^{\frac{1}{2}}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}[/tex]
[tex]=\sqrt{\left(5ab\right)^3}[/tex]
Thus,
[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]
What is the value of x?
ans is 21
Step-by-step explanation:
you see the right angle plus 15 degree angle equal to the 5x angle
so the quation is
90+15=5x
105=5x
21=x
A shirt had an original price of $15 but has been discounted by 15%. What is the sale price of the shirt?
Answer:
12.75$
Step-by-step explanation:
15$/100=0.15
0.15×15%=2.25
15$-2.25=12.75$
What is the value of x when y=6
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
5) Every hour, your sister can make the same number of socks. If in the 3rd hour of work, she has
made 6 pairs of socks, and by the 5th hour, she has made 10 pairs of socks, what is the rate at which
she made the socks?
Answer: 2
Because if shes in the 3rd hour and made six pairs count up to the 5th hour and there you go you have 2!
Multiplication sentences:
3÷5=2 2+3=5
Hope this helps!
(5n - 3) - (-2n + 7)
Answer:
7n-10
Step-by-step explanation:
=(5n-3) - (-2n) -7 [Bracket Opens]
=5n - 3 +2n -7 [- × - = +]
=7n - 10 [ addition]
There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to find the number of seventh graders in the choir. (This problem needs to be written as an equation..not just 48x2) Thanks
Answer:
Step-by-step explanation:
Let x represent the number of seventh graders in the choir:
48=x/2
x=96
9. One winter day, the temperature increased from a low of -5 °F to a high of 40 °F. By how many degrees did the temperature change? © 25 °F A) 45 °F F B 35 °F D 55 °F
Answer:
The temperature changed by 45°F .
Step-by-step explanation:
-5°F to 0°F = 5°F and 0°F to 40°F = 40°F
5° + 40° = 45°F
HeEeEEeLpPpp <<3<3<3<3
Answer:
h = 13
Step-by-step explanation:
20 - 7 = 13
which comparisons can be made using these fraction bars?