Answer:
$ 3051
Step-by-step explanation:
Original cost = $ 1000
Marked up Price = Original cost + 170% of 1000
= 1000 + 1.7 * 1000
= 1000 + 1700
= $ 2700
Sales tax = 13% of 2700
= 0.13 * 2700
= 351
Total cost paid by Bernie = 2700 + 351 = $ 3051
What is the difference between 5√3 and √27
Answer:
2√3
Step-by-step explanation:
5√3 - √27
= 5√3 - √9√3
= 5√3 - 3√3
=2√3
At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)
Answer:
The probability that more than half of these babies are female is closest to 0.53.
Step-by-step explanation:
We are given that at a certain hospital, the probability of a child being born female is 0.5. 80 babies are born on a certain day.
Let X = Number of babies that are female
The above situation can be represented through binomial distribution which means X ~ Binom(n = 80, p = 0.51)
Here, n = number of samples taken and p = probability of success
For finding the probability we will use the normal approximation because the sample size is greater than 30 (n > 30), i.e;
Mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex]
= 80 [tex]\times[/tex] 0.51 = 40.8
Standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p\times (1-p)}[/tex]
= [tex]\sqrt{80 \times 0.51 \times (1-0.51)}[/tex] = 4.5
So, X ~ Normal([tex]\mu=40.8, \sigma^{2} = 4.5^{2}[/tex])
Now, the probability that more than half of these babies are female is given by = P(X > 40) = P(X > 40.5) {using continuity correction}
P(X > 40.5) = P( [tex]\frac{X-\mu}{{\sigma}} }[/tex] > [tex]\frac{40.5-40.8}{{4.5} } }[/tex] ) = P(Z > -0.07) = P(Z < 0.07)
= 0.5279 ≈ 0.53
The above probability is calculated by looking at the value of x = 0.07 in the z table which has an area of 0.5279.
Hence, the probability that more than half of these babies are female is closest to 0.53.
Choose all of the statements that correctly define the geometric term. 1)Two rays joined at the same end point form an angle.2) Intersecting lines that form right angles are parallel lines 3) A continuous section of the circumference of a circle is a circular arc. 4)Lines that never intersect or cross each other perpendicular. 5)A circle is the locus of all points a fixed distance from a given center point.
Answer:
67
Step-by-step explanation:
Answer:
Statements 1, 3, and 5
1) Two rays joined at the same end point form an angle.
3) A continuous section of the circumference of a circle is a circular arc.
5) A circle is the locus of all points a fixed distance from a given center point.
Step-by-step explanation:
Statement 2 is false because it says that intersecting lines that form right angles are parallel lines. Actually, intersecting lines that form right angles are perpendicular lines.
Statement 4 is false because it says that lines that never intersect of cross each other are perpendicular. Actually, lines that never intersect or cross each other are parallel.
15•(3 + b) = 45 + b
Use properties and definitions of operations to show that the statement is true. Justify each step.
n + m - a = d, solve for m
Answer:
Hey there!
n+m-a=d
m+n=d+a
m=-n+d+a
m=a+d-n
Hope this helps :)
Find the slope of the line passing through (-4,6) and (10,8)
Answer:
1/7
Step-by-step explanation:
In order to determine the slope, we must find the change in y over the change in x:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}[/tex] = 2/14= 1/7.
Therefore, the slope between these two points is 1/7.
Answer:
1/7
Step-by-step explanation:
To find the slope when given two points, use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:
[tex]m=\frac{(8)-(6)}{(10)-(-4)} =2/14=1/7[/tex]
Therefore, the slope of the line passing through the two points is 1/7.
PLEASE HURRY......What is the absolute value of –8? Use the number line to help answer the question. A number line going from negative 8 to positive 8. A point is at negative 8. –16 –8 8 16
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I took the test.
I need help answering this question
Answer:
55
Step-by-step explanation:
JL = JK + KL
84 = 3x+5 + 6x+7
Combine like terms
84 = 9x +12
Subtract 12 from each side
84-12 = 9x+12-12
72 = 9x
Divide by 9
72/9 = 9x/9
8 =x
We want KL
KL = 6x+7
6*8 +7
48+7
55
Does the construction demonstrate how to bisect a segment correctly by hand? I need dire help with this one:(
Passes through (3, 1) and is perpendicular to the line y=2x+1
Answer:
y = -1/2x + 5/2 or y = -0.5x + 2.5
Step-by-step explanation:
perpendicular lines have reciprocated slopes (opposite signs and values)
y = 2x + 1 → y = (-1/2x) + b
plug in (3,1) to find b
1 = -1/2(3) + b
1 = -1.5 + b
2.5 = b
y = -1/2x + 5/2 or y = -0.5x + 2.5
Answer:
y = -1/2 x +5/2
Step-by-step explanation:
y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope
We want a line perpendicular
Perpendicular lines have slopes that multiply to -1
m * 2 = -1
Divide by 2
m = -1/2
The slope of the perpendicular line is -1/2
y = mx+b
y = -1/2x +b
Using the point (3,1)
1 = -1/2 *3 +b
1 = -3/2 +b
Add 3/2 to each side
2/2 +3/2 = b
5/2 = b
y = -1/2 x +5/2
Which is the mode for the data set?
-1, 0, 3, 4, 3, 1
-0.5
0.3
2
-1
Answer:
3Step-by-step explanation:
-1 appears once
0 appears once
3 appears twice
4 appears once
1 appears once
Answer: -1
Step-by-step explanation: -1
occurs the most.
Before her shopping spree, Lemon owned 11 shirts. Then she bought some more and now she owns 33 of them. What is the ratio of shirts before the purchase to the total number of shirts after the purchase
Answer:
So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3
Step-by-step explanation:
In this question we have to find the ratio of before and after so It will be written like this
Before : After
11: 33
Dividing both sides with 11
11/11:33/11
1: 3
So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3
Which means that if we have total of 4 shirts then the number of shirts before the purchase were 1 and after the purchase were 4 meaning there are 3 new shirts in place for every single old shirt.
3.
In the figure. ABCD is a parallelogram. Find the area and the
perimeter of ABCD.
Answer:
Step-by-step explanation:
I am not sure if this is correct but I hope it helps
Apply
10. Fouster's Farms has 53 fruit trees on their land. Myrna's Farms has five
times as many fruit trees as Fouster's. A commercial farm has 500 fruit
trees. Which farm has the most fruit trees?
Answer:
myrna farm has 265 and the commercial farm 500
Step-by-step explanation:
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The farm that has the most fruit trees are commercial farm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Foster's Farms has 53 fruit trees on their land. Myrna's Farms has five times as many fruit trees as Foster's. Therefore, the number of trees on Myrna's farm is,
Number of trees on Myran's farm = 5 × Number of trees on Foster's farm
= 5 × 53
= 265 trees
Since the number of trees on Myran's farm and Foster's farm is 265 trees and 53 trees, respectively, while the number of trees on the commercial farm has 500 fruit trees.
Hence, The farm that has the most fruit trees are commercial farm.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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Please help, thank you!
Answer:
15
Step-by-step explanation:
3x+4x+8=5x+10
7x+8=5x+10
7x-5x=10-8
2x=2
x=1
AC=5x+10=5(1)+10=15
Is x=3 a solution for the equation: 3x + 7 = 13
Why or why not ?
Answer:
No.
Step-by-step explanation:
There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.
3x + 7 = 13 subtract 7 from both sides
3x = 6 divide by 3 on both sides
x = 2
3(3) + 7 = 13
9 + 7 = 13
16 ≠ 13
Therefore, x = 3 is not a solution for 3x + 7 = 13.
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are
Answer:
The expected frequencies for all categories are at least 5.
Step-by-step explanation:
The chi-square goodness of fit test is useful when we have one categorical variable from a population. The test is used to determine whether the data collected are consistent with a hypothesized distribution.
The conditions required to use the chi-square goodness of fit test are:
The sample collected should be a simple random sampleCategorical variable can only be testedThe expected frequencies for all categories or levels are at least 5.The degrees of freedom of this test is:
d = k - 1
Here,
k = number of categories.
Thus, the expected frequencies for all categories are at least 5.
6a+40=2a can someone help me with this work sheet?
Answer:
a = -10
Step-by-step explanation:
6a+40=2a
Subtract 6a from each side
6a-6a+40=2a-6a
40 = -4a
Divide each side by -4
40/-4 = -4a/-4
-10 = a
.The diagonal of a quadrilateral shaped field is 32 m and the perpendiculars dropped on it from the remaining opposite vertices are 10m and 14m. Find the area of the field.
Answer:
Area of the field = 384
Step-by-step explanation:
Given:
diagonal = d = 32 m
perpendiculars dropped on it from the remaining opposite vertices:
h1 = 10 m
h2 = 14 m
Sum of perpendiculars:
h1 + h2 = 10 + 14
= 24
Area of the field = 1/2 x d x (h1 + h2)
= 0.5(32)(24)
Area of the field = 384 m²
The Bionic Woman gives Batman a 12 second
start in a 2 kilometre race. If the Bionic Woman
runs at 5 km/min, and Batman runs at 3 km/
min, who will win the race and by how many
seconds?
Answer:
Bionic Woman wins by 4 seconds.
Step-by-step explanation:
Given:
Speed of Batman = 3 km/min
Speed of Bionic woman = 5 km/min
Total distance = 2 km
Start given to Batman = 12 seconds
To find:
Winner of the race and by how many seconds?
Solution:
Start given to Batman = 12 second start
Let us find the Distance traveled by Batman in 12 second.
12 seconds = [tex]\frac{1}{5}[/tex] minutes
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]
Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km
Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds
Distance for Bionic woman to be traveled = 2 km with 5 km/min
Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds
Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.
She will win by 28-24 = 4 seconds
So, answer is:
Bionic Woman wins by 4 seconds.
what is the answer to -19+66
Answer: Adding a negative is the same as subtracting, so we will subtract 19 from 66.
66 - 19 = 47
The answer to -19 + 66 is equal to 47.
|−12| = 12 True or False please help!!!!!
Answer:
yes
Step-by-step explanation:
|-12| = |12| they always equal to 12
Answer:
true
Step-by-step explanation:
when you put the 2 lines on the left and right side of a (negative) number, it instantly becomes a positive
What fraction shows this division problem? 7 ÷ 9 Fractions may be typed as improper fractions What fraction shows this division problem? 7 ÷ 9 Fractions may be typed as improper fractions
Answer:
The fraction is [tex]\frac{7}{9}[/tex].
Step-by-step explanation:
The division problem provided is:
7 ÷ 9
The fraction representing the division problem is:
[tex]7\div 9=\frac{7}{9}[/tex]
As the denominator is greater than the numerator the fraction cannot be converted into a mixed fraction.
Thus, the fraction is [tex]\frac{7}{9}[/tex].
Answer:
7/9
Step-by-step explanation:
The division problem is as follows:
7 ÷ 9
The fraction that represents the difficulty of division is:
7 ÷ 9=7/9
The fraction cannot be converted to a mixed fraction since the denominator is bigger than the numerator.
As a result, the fraction is 7/9.
Replace the values of m and n to show the solutions of this equation.
x^2 + 6x - 5 = 0
Answer: x = 2, x = 3 ( whichever is m and whichever is n )
Step-by-step explanation: h
x^2 + 6x - 5 = 0
( x - 2 ) ( x - 3 ) you take the x^2 and you split it into separate groups
the negatives will give you a positive 6, but also a negative 5. you want to use multiples of 6 to add up to -5. so you do ( x - 2 ) and ( x - 3 ) and it doesn't matter what order you do the numbers!! both are negative trying to add up to a negative.
then you want to get x.
x - 2 = 0
add two to the 0 and x = 2
then the other x
x - 3 = 0
add the three to the 0 and x = 3
Answer:
x=-3+[tex]\sqrt{x} 14[/tex]
Step-by-step explanation:
I got it right on plato
Find the volume of a box with a length of 5 cm, a width
of 5 cm, and a height of 10 cm.
Answer:
250 cm³
Step-by-step explanation:
The volume of a box will always be the value of multiplying its 3 dimensions. Since the dimensions of this box are 5, 5, and 10, the volume is:
[tex]5\cdot5\cdot10=250[/tex] cm³.
Hope this helped!
Answer:
250 cm^3
Step-by-step explanation:5x5x10
What is the cost in dollars for the nails to build a fence 125 meters long if it requires 30 nails per meter? Assume that 40 nails are sold per box at a cost of $0.75 per box.
Answer: $70.50
Step-by-step explanation:
30npm x 125m = 3750 nails total
3750/40 = 93.75, meaning you will need 94 boxes to complete the fence
94x0.75= $70.50
The cost in dollars for the nails to build a fence 125 meters long will be $70.31.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A fence is 125 meters long if it requires 30 nails per meter. Then the total number of the nail will be
⇒ 125 x 30
⇒ 3750 nails
Assume that 40 nails are sold per box. Then the total number of boxes of nail will be
⇒ 3750 / 40
⇒ 93.75 boxes
The cost of $0.75 per box. Then the total cost of nails will be
⇒ 93.75 x $0.75
⇒ $70.31
Then the cost in dollars for the nails to build a fence 125 meters long will be $70.31.
More about the Algebra link is given below.
https://brainly.com/question/953809
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please tell me the answers.......
Answer:
answer of question 28 is 8/13(D)
8 + 5 x (11 - 5) - 9
Please help me
I got 60 as my answer
you ALWAYS do your parentheses first
then you do 8+5 and that equals 13•6-9
13 times 6 is 78. then you subtract 9 which will leave you with 60. hope that helped ☺️
i don’t understand this at all please help
Answer:
You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)
You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)
Step-by-step explanation:
Solve 5h + 2(11 - h) = -5 (Find h. Explain each step please.)
Answer:
h = -9
Step-by-step explanation:
Distribute the 2 to the parentheses:
5h + 2(11 - h) = -5
5h + 22 - 2h = -5
Add like terms:
3h + 22 = -5
3h = -27
h = -9
Answer:
h = -4.5
Step-by-step explanation:
5h + 2(11-h) = -5
5h + 2(11-h)
+h +h
6h + 2 x 11 = -5
6h + 22 = -5
- 22 -22
6h = -27
/6 /6
h = -4.5
I hope this helps, I know the explanation is kinda confusing but I tried my best to explain :))