Answer: Garden = 36 ft², Path = 64 ft²
Step-by-step explanation:
Path is 3 ft wide ON EACH SIDE of the garden
Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.
Since the garden is a square, Area = 6² = 36
Garden + 2(Path) = 10 ft
Since the Garden + Path form a square, Area = 10² = 100
Area of Garden + Area of Path = Total Area
36 + Area of Path = 100
Area of Path = 64
A focus group is made up 12 males and 4 females. Half of the males have college degrees. A member is selected at random from the geoup. What is the probability that the member is a male with a college degree?
Answer:
3/8
Step-by-step explanation:
We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.
There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:
12/16 = 3/4
Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:
6/12 = 1/2
Therefore, the probability that a male is selected and that the male has a college degree is:
3/4 * 1/2 = 3/8
Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?
____ Miles
Answer:
27 miles
Step-by-step explanation:
2/3rds of the way home is 18 miles
2/3 d = 18
Multiply each side by 3/2
3/2 * 2/3 = 18 *3/2
d = 27
The distance is 27 miles
75
Which expression is equivalent to
72?
(7.5) (7.2)
(7-7-7-7-7) (7.7)
7.5
7.2
7.7.7.7.7
7.7
Answer:b
Step-by-step explanation:
Answer:
its b on edg 2020.
Step-by-step explanation:
i got it right :)
The points (3,-6) and (11,r) lie on a line with slops 3/2. Find the missing coordinare r
Answer:
r = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)
m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
2(r + 6) = 24 ( divide both sides by 2 )
r + 6 = 12 ( subtract 6 from both sides )
r = 6
Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.
Answer:
she'll have $9800
Step-by-step explanation:
35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)
1400 times 7 (how many months) is 9800
Jacqui have earned $9800 after she’s worked 7 months.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Jacqui makes $35 an hour working as an accounting assistant.
She works 40 hours each month.
Here, number of hours she worked in 7 months
= 40×7
= 280 hours
Total money = 280×35
= $9800
Therefore, Jacqui have earned $9800 after she’s worked 7 months.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ7
What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 52 college students were surveyed and r = 12 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use α = 0.05. (a) What is the level of significance?
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 0.24
For the alternative hypothesis,
p ≠ 0.24
This is a two tailed test
Considering the population proportion, probability of success, p = 0.24
q = probability of failure = 1 - p
q = 1 - 0.24 = 0.76
Considering the sample,
Sample proportion, P = r/n
Where
r = 12
n = 52
P = 12/52 = 0.23
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17
Recall, population proportion, P = 0.24
The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01
Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23
the p for the right tail is 0.24 + 0.01 = 0.25
These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area below the test z score in the left tail 0.43
We would double this area to include the area in the right tail of z = 0.17 Thus
p = 0.43 × 2 = 0.86
The level of significance is 5%
Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.
This recipe makes 20 flapjacks. How much of each ingredient is needed to make 30 flapjacks by following this recipe? Recipe: Makes 20 flapjacks 140 g margarine 120 g sugar 100 ml syrup 240 g oats 50 g raisins
Answer: 210 grams of margarine, 180 grams of sugar, 150 millilitres of syrup, 360 grams of oats, 75 grams of raisins
Step-by-step explanation: 30 flapjacks is 1.5 more than 20 flapjacks.
140 * 1.5 = 210 grams
120 * 1.5 = 180 grams
100 * 1.5 = 150 millilitres
240 * 1.5 = 360 grams
50 * 1.5 = 75 grams
write a rule for the nth term of the sequence 15, 19, 23, 27
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Which phrase should be inserted on the line to make a true statement? Use the models to help.
Answer:
2/3 = 8/12
Step-by-step explanation:
2/3 vs 8/12
Multiply the left by 4/4 to get common denominators
2/3 *4/4 = 8/12
They are equal
Answer:
is equal to or awnser D
Step-by-step explanation:If you divide the you get the same awnser
Classify the following triangle. Check all that apply.
Answer:
Right, Scalene (D and E)
Step-by-step explanation:
One side of the triangle contains a right angle, therefore it is a right triangle
the three sides are all different lengths from each other, making it scalene
Answer:
D. Right
E. Scalene
Step-by-step explanation:
Definitions
Acute: A triangle whose angle measure are all acute angles.
Equilateral: A triangle with all the same side lengths and angle measures.
Obtuse: A triangle with one obtuse angle and two acute angles.
Right: A triangle who has a right angle and two acute angles.
Scalene: A triangle whose sides are all different lengths
Isosceles: A triangle who has 2 sides the same length and the other different.
Our triangle fits the descriptions of the right triangle and scalene triangle.
Which of the following is a perfect square? 221 196 224 176 Need the answer as quick as possible
Answer:
196
Step-by-step explanation:
196 is the perfect square number, because its square root is 14.
[tex] \sqrt{196} = 14[/tex]
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay?
Answer:
$10.68
Step-by-step explanation:
The question is incomplete as we were not given the cost of each pizza and each drink.
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay? If one large pizza cost $12 and small drink cost $1.5.
Solution:
one large pizza cost = $12
small drink cost = $1.5
3 large pizzas = 3×12 = 36
5 small drinks = 5×1.5 = 7.5
Tip = $9.90
Total cost = 36+7.5+9.9 = $53.4
Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5
Each person pays = $53.4/5
Each person pays = $10.68
If x is 5, then 6x = _____
Answer:
30
Step-by-step explanation:
6(5)=30
// have a great day //
Answer:
30
Step-by-step explanation:
Factor the expression below x^2+12+36 A) (x-6)(x-6) B) (x+6)(x+6) C) (x-9)(x-4) D) (x+9)(x+4)
Answer:
Answer B
Step-by-step explanation:
when you simplify it u get x^2+12+36
Calculate the following combinations
Answer:
[tex]_3 C_2 =\frac{3}{2}[/tex]
[tex]_3 C_3[/tex] Is undefinded.
Step-by-step explanation:
Given the equations.
[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]
[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]
Distribute the denominator.
[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]
[tex]_3C_2 = \frac{3}{(9-9)}[/tex]
Simplify the denominator.
[tex]_3 C_2 = \frac{3}{2}[/tex]
[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.
Answer:
part 1: 3 & 1
part 2: 6
Step-by-step explanation:
edge fam sticks together lol
Find the slope of the line that passes through (10, 8) and (1, 4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Step-by-step explanation:
4-8 = -4
1-10 = -9
-4/-9 simplifies to 4/9
The Expression3(x-9) equivalent to
Answer:
3x - 27
Step-by-step explanation:
3(x-9)
Distribute
3x * -3*9
3x - 27
Answer:
Brainliest!
Step-by-step explanation:
it is equivialent to 3x-27
just simplify the equatoin
At the pebble pick at a school carnival the probability of drawing a pebble that wins a pencil is 50% a pebble that went to CD is 25 and a pebble that one is the book is 25% how good is Zack design a spinner that can win those Simulator 2 probability of winning each prize
Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!!!!
Answer & Step-by-step explanation:
Since you looking for the width and you are given the length and the area, then you will divide the area by the length.
(10x² + 5x) ÷ 5x
You can also turn this into a fraction so you can know what you are dividing.
[tex]\frac{10x^2+5x}{5x}[/tex]
So, your width is 2x + 1
Answer:
2x + 1 is the width.
Step-by-step explanation:
Length times width equals the area, which means that the area divided by the length equals the width. In this case, 10x^2 + 5x divided by 5x equals the width.
10x^2 / 5x equals 2x.
5x / 5x equals 1.
The width equals 2x + 1.
PLSS HELP ME THXS YOUUUUU!!!!!
Answer: Point A
Air pressure is essentially the weight of the air pressing down; it's greatest when there's the most air above, so at the lowest point, which is point A, elevation 1000 feet.
A line passes through (−1, 7) and (2, 10) what is the equation of the line?
Answer:
−x+y=8
there you go!
Hope it helps!
will award most brainliest need help pls (due today)
Answer:
m∠A = 24°
Step-by-step explanation:
m∠A = m∠B
3x-12 = 2x
-2x. -2x
x-12 = 0
x = 12
3(12)-12 = 24
2(12) = 24
11 (12) = 132
132 + 24 +24 = 180
Would the midpoint (2,2) be correct?
Answer: YES, Its correct.
[tex]M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)[/tex]
Answer:
(-2,2)
Step-by-step explanation:
The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.
Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2
Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2
So, the midpoint would be (-2,2)
How many ways can you select 2 pieces of fruits from a basket of 8 pieces?
Answer: 56
Step-by-step explanation:
There are 8 pieces of fruit to choose from.
When you choose the next piece, there are only 7 pieces remaining to choose from.
First pick and Second pick
8 x 7 remaining = 56
i need help please!!!!!!!!!!!!
Answer:
-1/2
Step-by-step explanation:
The line in slope-intercept form,
y = mx + b
has slope m.
In this case, m = -1/2
Slope = -1/2
Answer:
1. m=-1/2
Step-by-step explanation:
The line is given in slope-intercept form, or
y=mx+b
where m is the slope and b is the y-intercept.
Essentially, the number that is multiplied by x is the slope, and the number that is added or subtracted from the term with x is the y-intercept.
The equation of line is:
y= -1/2x+ 1/4
-1/2 and x are being multiplied (-1/2*x= -1/2x). 1/4 is being added onto the term with x (-1/2x).
Therefore, the slope must be -1/2 and the y-intercept is 1/4.
m= -1/2
b= 1/4
The slope is -1/2 and the first choice is correct.
What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)
Answer:
[tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Step-by-step explanation:
To find the product :
[tex](\sqrt{3x} +\sqrt5)(\sqrt{15x} +2\sqrt{30})[/tex]
[tex]\sqrt{3x}(\sqrt{15x} +2\sqrt{30}) +\sqrt5(\sqrt{15x} +2\sqrt{30})\\\Rightarrow \sqrt{3x}\times \sqrt{15x} +\sqrt{3x}\times 2\sqrt{30} +\sqrt5 \times \sqrt{15x} +\sqrt5\times 2\sqrt{30}\\\Rightarrow \sqrt{45} \times x + 2 \sqrt{90x} + \sqrt{75x} + 2 \sqrt{150}\\\Rightarrow \sqrt{5 \times 9} \times x + 2 \sqrt{9\times 10x} + \sqrt{25 \times 3x} + 2 \sqrt{25 \times 6}\\\Rightarrow 3\sqrt5 x+ 2 \times 3 \sqrt{10x} +5\sqrt{3x} +2 \times 5 \sqrt6\\\Rightarrow 3\sqrt5 x+ 6 \sqrt{10x} +5\sqrt{3x} +10 \sqrt6[/tex]
[tex]\Rightarrow 3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Some identities used:
1. [tex](a+b)(c+d) = a (c+d) + b(c+d)[/tex]
2. [tex]\sqrt9 =3[/tex]
3. [tex]\sqrt{25} =5[/tex]
4. [tex]\sqrt x \times \sqrt x=x[/tex]
5. [tex]\sqrt a \times \sqrt b = \sqrt{ab}[/tex]
So, the solution is [tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Answer:it’s b
Step-by-step explanation:
On edge
The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?
Answer:
explanation below
Step-by-step explanation:
(n - 2) * 180 = 8100
n - 2 = 8100/180
n - 2 = 45
n = 45 + 2
n = 47 sides <---answer
happy to help ya :)
(3×2^2)^9÷(3^3×2)^5
Answer:
exact form
8192/729
decimal
11.237
Step-by-step explanation:
cancel common factors
How would you describe the curve?
the answer is C, the curve is a one to one function
Olive's Pizza Kitchen has a new oven that is shaped like a rectangular prism. Inside, the oven is 5 feet wide and 5 feet deep so it can bake their super large pizzas. It is also 3 feet high. What is the oven's volume?
Answer:
The volume of the oven is 75 ft^3
Step-by-step explanation:
Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.
Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.
Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2
Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3