Answer:
Rectangle Y.
Step-by-step explanation:
Find the perimeter of both rectangles.
If you want to find rectangle X, the breadth of the rectangle but the length of it isn't the same since it has been shortened, and since it covers half of the card for length...
Length = 14 ÷ 2 = 7cm
Perimeter = 6cm + 6cm + 7cm + 7cm = 26cm (Rectangle X)
Now, let's find perimeter for rectangle Y.
The length for the rectangle is the same as it isn't shortened or anything else, but the breadth is different as it have been shortened, since it covers half of the card for breadth...
Breadth = 6 ÷ 2 = 3cm
Perimeter = 3cm + 3cm + 14cm + 14cm = 34cm
(Rectangle Y)
Explaination: Rectangle Y will have the longer perimeter, (add in the solution that I wrote for rectangle X and Y)
3 x 7/18 as a fraction in simplest form
9. (4 x 10) (3.25 x 10)
Answer:
1300
Step-by-step explanation:
(4 x 10) (3.25 x 10)=40*32,5=1300
Answer:
1300
Step-by-step explanation:
(4×10) (3.25×10)
40 × 32.5= 1300
ABC is a right triangle. If AC=4 and BC=10, find AB. Leave your answer is the simplest radical form.
Answer:
√116 or √84Step-by-step explanation:
ABC is a right triangle
AC=4, BC=10, AB = ?Here we have two options:
1. AB is hypotenuse, then:
AB = [tex]\sqrt{AC^2 + BC^2} = \sqrt{4^2 + 10^2} = \sqrt{16 + 100} =\sqrt{116}[/tex]2. BC is hypotenuse and AB is the second leg, then:
AB = [tex]\sqrt{BC^2 - AC^2} = \sqrt{10^2 - 4^2} = \sqrt{100 - 16} = \sqrt{84}[/tex]$72 game with a 20% discount and 7.5% tax
Answer:
Cost of game after discount = 72 - 20% of 72 = $57.6
Cost after tax = 57.6 + 7.5% of 57.6 = $61.92
So, the required cost is $61.92.
Can someone tell me if I’m right on this one?
Answer:
No, it's -1 + -6 = -7
Step-by-step explanation:
The first arrow goes left -1 and the other one goes left -6, to get -7
HELP ASAP , WILL GIVE MOST BRAINIEST
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x + 4
x+y s6
The inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have two inequalities:
y > 2x + 4
x + y ≤ 6
We can plot the above inequality on the coordinate plane.
The inequalities representing the region between the two lines the lines are:
y = 2x + 4
x + y = 6
y > 2x + 4 (dashed line on the graph)
x + y ≤ 6 (solid line on the graph)
Thus, the inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
72 pens are stored in 24 containers. Which of the following expresses the unit rate for this scenario?
A
72 pens per container
B
24 pens per container
C
3 containers per pen
D
3 pens per container
(PLZZZZZZZZZ I NEEEDDD HELP) IM IN THE 6TH GRADE PLZZZ I NEED HELP
4/5 ÷ 1/2 – 3/4 × 3/5( these are fractions)
Answer:
23/20 or 1 3/20 or 1.15
Answer:
1 3/20
Step-by-step explanation:
Amanda drinks 2 1/2 pints of milk a day. How much is this in cups?
Answer: A pint is equal to 2 cups (example: a large glass of milk!) When measuring many cups of liquid all put together we might want to use quarts. A quart (qt) is the same thing as 4 cups or 2 pints.
Step-by-step explanation:
Answer:
2 cups
Step-by-step explanation:
Beth walked 10 7/8 miles one week. she walked 2 1/4 fewer miles the following week. About how many miles did she walk the second week round each mixed number to the nearest whole number.
Answer:
8 and 5/8 miles
Step-by-step explanation:
How many degrees is 1.2 rotations counter clockwise?
Answer:
The expression is already in decimal form.
1.2
Step-by-step explanation:
(づ ̄ ³ ̄)づ
Suppose that 65% of high school students eat breakfast before going to school. A random sample of 500 high school students were surveyed. Let X = the number of high school students in a random sample of size 500 who eat breakfast before going to school.
1. Explain why X can be modeled by a binomial distribution even though the sample was selected without replacement.
2. Use a binomial distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.
3. Justify why X can be approximated by a Normal distribution.
4. Use a Normal distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.
Answer:
1.) very large sample size
2.) 0.11326
3.) np and n(1-p) should be ≥ 10
4.) 0.010809
Step-by-step explanation:
Given :
p = 0.65 ; n = 500
2.)
P(x ≤ 300)
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using a binomial probability calculator :
P(x ≤ 300) = 0.11326
To justify why if it can be approximated using a normal distributon :
np and n(1-p) should be ≥ 10
np = 500 * 0.65 = 325
n(1-p) = 500(1 - 0.65) = 175
4.) probability using normal distribution estimate:
Mean, m = np = 500 * 0.65 = 325
Standard deviation, s = sqrt(n*p*(1-p)) = sqrt(500*0.65*(1 - 0.65)) = sqrt(113.75) = 10.665
x ≤ 300
Correction:
x = x + 0.5 = 300 - 0.5 = 300.5
P(x ≤ 300.5)
Zscore = (x - m) / s
Zscore = (300.5 - 325) / 10.665
Zscore = - 24.5 / 10.665
Zscore = - 2.297
P(Z ≤ - 2.297) = 0.010809
X can be modeled by a binomial distribution even though the sample was selected without replacement because the sample size is too large, and the probability that 300 or fewer high school students in the sample eat breakfast before going to school is 0.010809.
Given :
Suppose that 65% of high school students eat breakfast before going to school. A random sample of 500 high school students was surveyed. Let X = the number of high school students in a random sample of size 500 who eat breakfast before going to school.1) X can be modeled by a binomial distribution even though the sample was selected without replacement because the sample size is too large.
2) The formula for the binomial distribution is given by:
[tex]\rm P (x=x)= \; ^nC_x \times p^x \times (1-p)^{n-x}[/tex]
Now, substitute the known terms in the above formula.
[tex]\rm P (x\leq 300)= \; ^{500}C_x \times (0.65)^x \times (1-0.65)^{500-x}[/tex]
Simplify the above expression.
[tex]\rm P(x \leq 300)=0.11326[/tex]
3) Now, the value of np and n(1 - p) is given below:
np = 500 [tex]\times[/tex] 0.65 = 325
n(1 - p) = 500 [tex]\times[/tex] (1 - 0.65) = 175
X can be approximated by a Normal distribution because the value of np and n(1 - p) is greater than or equal to 10.
4)
First, determine the standard deviation.
[tex]\rm \sigma = \sqrt{np(1-p)}[/tex]
[tex]\rm \sigma = \sqrt{500\times 0.65 \times (1-0.65)}[/tex]
[tex]\rm \sigma = 10.665[/tex]
Now, the z-score can be calculated by using the formula:
[tex]\rm z =\dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm z =\dfrac{300.5-325}{10.665}[/tex]
z = -2.297
So, the probability that 300 or fewer high school students in the sample eat breakfast before going to school is given by:
[tex]\rm P(Z\leq -2.297) = 0.010809[/tex]
For more information, refer to the link given below:
https://brainly.com/question/795909
Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.
Answer:
2.16
Step-by-step explanation:
r = cost of ruler
p = cost of pencil
r = 2p
6r + 15p = 2.16
Substitute 2p in place of r in 2nd equation and solve for p
6(2p) + 15p = 2.16
12p + 15p = 2.16
27p = 2.16
Find the number for x. (Divide)
8.2x=164
A number consists of two digit whose sum is five
when the digit irreversible, the no. become greater by nine .find the number
Answer:
23
Step-by-step explanation:
solve for a
4(2a - 1) = -10(a - 5)
Answer:
A = 3
Step-by-step explanation:
8a-4=-10a+50
8a-4+4=-10a+50+4
8a=-10a+54
8a+10a=-10a+54+10a
18a=54
54 / 18 = 3
A = 3
The point (-6,-2) is located in quadrant
Step-by-step explanation:
The point is located in the second quadrant because x is negative and y is positive.
Answer:
Quadrant 3
Step-by-step explanation:
what is the point slope form of (2,4), m=1/2
Answer:
y=1/2x+3
Step-by-step explanation:
y=1/2x+b
b=3
Someone please help?
Answer:
42°
Step-by-step explanation:
its 42° because its smaller than 48° and that's the only option smaller lol
Answer:
42 degrees
Step-by-step explanation:
The angle forms a right angle, which in total would be 90 degrees.
48 + 42 would be the only option because it is the only one that adds up to 90 degrees.
What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent.
Answer:
If two triangles are not congruent, then their corresponding angles are not congruent.
Step-by-step explanation:
The inverse is when both the hypothesis and conclusion are negative (if not p, then not q).
Answer:
If two triangles are not congruent, then their corresponding angles are not congruent.
Help I’m so close and I really wanna sleep ;-;
Answer:
8
Step-by-step explanation:
Preety Sure is 8
Answer:
8
Step-by-step explanation:
Since it starts from 6, count by +1 till you get at the blue dot
Which equation represents the line that passes through
the points (2, 3) and (4, 7)?
Answer:
Step-by-step explanation:
(7 - 3)/(4 - 2) = 4/2 = 2
y - 3 = 2(x - 2)
y - 3 = 2x - 4
y = 2x - 1
Is (-4,-6) a solution?
2x + 3y <-9
x - 2y 2 - 4
(-4, -6)
i don't know
Step-by-step explanation:
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
HELP MEE ITS FOR MATH ABD NOBODY HAD SAID WHAT TBE STORE MADE FROM HIS SALES
Answer:
727.5
Step-by-step explanation:
If Jarrod made 3 percent in commissions then y have to find what 97 percent of 750 is
The equation set up would be .97 times 750
750 times .97= 727.5
Solve by factoring.
s2 + 8s + 15 = 0
When 8 is added to a certain number and the
sum is multiplied by 3, the result is 57.
Find the number.
Answer:
11
Step-by-step explanation:
11+8=19
19x3=57
can't figure out this problem can anyone help if so thank you
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, [tex]\frac{16}{5}[/tex]..........
Ratio of 2nd and 1st term of the sequence = [tex]\frac{4}{5}[/tex]
Ratio of 3rd and 2nd term of the sequence = [tex]\frac{\frac{16}{5} }{4}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = [tex]\frac{4}{5}[/tex]
First term of the sequence 'a' = 5
nth term of a geometric sequence = [tex]a(r)^n[/tex]
Therefore, nth term of the given term will be [tex]T_n=5(\frac{4}{5})^n[/tex]
Now we have to find the 10 term of the given sequence.
For n = 10,
[tex]T_{10}=5(\frac{4}{5})^{10}[/tex]
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
Which equation represents a line which is parallel to the line 7x - y = 4?
Answer:
Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.
7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.
find the
volume or air
4m
by
5m which is only 3m
high
Answer:
volume of cuboid=l×w×h
volume of cuboid=4×5×3=60cm³