1 What is the value of the expression below?
⅕ ÷ 10
A 1/50
B 1/15
C 5/10
D 2

​

Answer:

I can confirm the answer is:

D. 40 units

Step-by-step explanation:

I just took the test on edge and got it right!

The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.

We can derive the perimeter by stating:

2x = x + 3 ⇒ x = 3

This is because Δ RSC ≅ Δ TSC

RS = 2 x 3 = 6 = ST

This is because ΔQRC ≅ ΔQVC

TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU

Thus

QR = QV = 10

CΔQSU = 10 + 6 + 10 +14

= 40 Units.

Learn more about perimeter of triangles at:
https://brainly.com/question/24382052
#SPJ9

Answer:

≈451.37 cm³

Step-by-step explanation:

Since the diameter of the can is 6, the radius is 3.

Old can height: 12

Old can base radius: 3

Old can volume: 339.12 cm³

New can height: 12×1.1=13.2

New can base radius: 3×1.1=3.3

New can volume: 13.2×3.14×3.3²=13.2×3.14×10.89=451.36872 cm³

Answer:

Not enough information

Step-by-step explanation:

You gave the height, but there is no length. You need both the height and length because the area of a triangle is 1/2bh

Answer:

Th answer is 220

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The probability of picking out a certain colour = 12/48 = 1/4

So, this means that every 4 socks you pick out you can be sure of having one of each colour. If you need to find a pair, then you pick out 8.

Hope this helps

Answer:

The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Step-by-step explanation:

The random variable X follows a discrete uniform distribution.

The probability mass function of X is:

[tex]f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.[/tex]

Then,

a = 1

b = 3

The mean and standard deviation of the random variable X are:

[tex]\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165[/tex]

The sample size is, n = 39.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.

Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:

[tex]P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})[/tex]

                          [tex]=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236[/tex]

Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Answer:

10%

Step-by-step explanation:

To get 0.2 from 2, we need to divide by 10 or multiply by 0.10. Since we have 0.10, we convert that to percent by multiplying by 100 to get 10%.

Answer:

0.2 is 10% of 2.

Step-by-step explanation:

We can set up an equation:

2*x=0.2

x is representing the decimal that 2 needs to be multiplied to equal 0.2

2x=0.2

x=0.1

If x equal 0.1, then we can convert 0.1 into a percent. 0.1=10%

So, 0.2 is 10% of 2.

Answer:

939.41711

Step-by-step explanation:

using the pythagorean theorem we can find the hypotenuse of a right angle triangle by using a^2 +b^2 = c^2

a and b being the legs of the triangle.

in this case a = 400

and b = 850

square both numbers:

160000 + 722500 = 882500

√882500 = 939.41711

Answer:

which of these statements BEST describes the relationship between college and health and wellness D There is no relationship between college degree and salary.

Answer:

4y - 9 > 17

Step-by-step explanation:

Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number.

Unknown variable = y

Nine subtracted from the product of 4 and a number is greater than 17

4 multiplied by unknown variable 'y' = (4 * y) = 4y

9 subtracted from (4y) = 4y - 9

Then, the result is said to be greater than 17

4y - 9 > 17

Hence, The Inequality expression equivalent to the sentence above is 4y - 9 > 17

Answer:

The rate of change will be the same for all years.

Step-by-step explanation:

As it is mentioned in the question, that the rate of change is 7%.

And as we know that

= I (1 + R)^T

where

I = Initial amount

R = Rate of growth,

And T = Time.

So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.

Therefore the rate of change would be the same for all the year

Answer:

Mean(m) = 462,536

sd = 29,268.29

Step-by-step explanation:

Given the following:

P(sales > 470,000) = 40% = 0.4

P(sales > 500,000) = 10% = 0.1

Using the z - table, we can locate the corresponding P values

Z = 1 - p = 1 - 0.4 = 0.6; 1 - 0.1 = 0.9

Locating the closest value to 0.6 on the z table ;

(0.25 + 0.26) / 2 = 0.255

Locating the closest value to 0.9 on the z table ;

Z = 1.28

Recall;

z =( x - m) / sd

Where m = mean ; sd = standard deviation

First condition:

0.255 = (470,000 - m) / sd

0.255 × sd = (470,000 - m) - - - - - (1)

1.28 = (500,000 - m) / sd

1.28 × sd = (500,000 - m) - - - - (2)

We can solve for one of the unknowns y subtracting equation (1) FROM 2

1.28sd - 0.255sd = (500,000 - m) - (470000 - m)

1.025sd =500,000 - m - 470000 + m

1.025sd = 30,000

sd = 29,268.29

Substituting the value od SD into (1) or (2)

1.28 × 29,268.29 = 500000 - m

37463.41 = 50000 - m

m = 50000 - 37463.41

Mean(m) = 462,536

Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

Answer:

C, 2 sqrt 5 / 5

Answer:

80°

Step-by-step explanation:

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=y²-y²

x²-x¹

3 =y+2

2. x+2

multiply both sides by 2(x+2)to remove the denominators

3(x+2)=2(y+2)

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

Answer:

25 points.

Step-by-step explanation:

In the second game, you can say the Foosball team scored x points.

In their third game, they would have scored x points, plus 8.

In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.

We would get the following equation...

x + (x + 8) + 3(x + 8) = 117

x + x + 3x + 8 + 24 = 117

5x + 32 = 117

5x = 85

x = 17

So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!

Hope this helps!

Answer:

.

Step-by-step explanation:

Answer:

I think its O-5 I am not sure

Answer:

Solution,

Radius(R)= 7 cm

Area of quarter circle:

[tex] \frac{\pi \: {r}^{2} }{4} [/tex]

[tex] = \frac{3.142 \times 49}{4} [/tex]

[tex] = 38.4895 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

B

Step-by-step explanation:

m-1.35=2.30

you would add -1.35 to the other side

so then you have

m=3.65

which is how much money she had to begin with

Answer:

B

Step-by-step explanation:

m - 1.35 = 2.30

Answer:

y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)

Step-by-step explanation:

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus

y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)

Answer:

6

Step-by-step explanation:

(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6

Denominator is 6.

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

Answer:

0.85

Step-by-step explanation:

The interquartile range of any given data set is simply the difference between the Q3 and the Q1, i.e. Q3 - Q1.

Let's find the Q3 and the Q1 of the given data set: 30.8, 29.9, 30.0, 31.0, 30.1, 30.5, 30.7, 31.0

First, let's order the data given in increasing order from small to the largest value:

29.9, 30.0, 30.1, 30.5, 30.7, 30.8, 31.0, 31.0

Let's find the median:

Since the number of data set given is even number (8), our median would be the average of the 4th and 5th data value = (30.5+30.7) ÷ 2 = 30.6

Let's find Q3 and Q1

Q1 is the middle value from the median point to our left = (30.0+30.1) ÷ 2 = 30.05

Q3 is the middle value from the median point to our right = (30.8+31.0)÷2 = 30.9

Interquartile Range = 30.9 - 30.05 = 0.85

Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.

[tex]f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\[/tex]

Answer:

314.16 in²

Step-by-step explanation:

The surface area of a sphere has a formula.

4πr²

Where r is the radius of the circle.

4π × 5²

4π  × 25

100π

= 314.159265

Answer:

314.16

Step-by-step explanation:

formula=4*pi*r^2

Answer:

55 for the top left and 35 for the top right

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

7x+6  + 6x -7 + 90 = 180

Combine like terms

13x+89 = 90

Subtract 89 from each side

13x+89-89 = 180-89

13x = 91

Divide by 13

13x/13 = 91/13

x =7

The top  left angle is

7x+6

7*7+6 = 49+6 = 55

The top right  angle is

6x-7

6*7-7 = 42-7 = 35

Answer:

  (x -5)^2 +(y +4)^2 = 100

Step-by-step explanation:

The equation of a circle with center (h, k) that passes through point (a, b) is ...

 (x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2

For your given points, the equation is ...

  (x -5)^2 +(y +4)^2 = (-3-5)^2 +(2+4)^2 = 64 +36

  (x -5)^2 +(y +4)^2 = 100

Answer:

sqrt of 2 is between 1 and 2

The square root of 2 is in between the square of one and the square of 2.

Answer:

40+s

Step-by-step explanation:

Answer:

40+s

Step-by-step explanation:

Matt has 40 big spoons.

He has s small spoons.

We need to add these together to find the total number of spoons.

It would simply be number of big spoons plus number of small spoons.

Therefore, the expression would be 40+s

Answer:.£570.84

Step-by-step explanation:

426 x 1.34 = 570.84

Answer:

£426 * 1.34 = £570.84

Step-by-step explanation: