What are the subsets of red blue and yellow

Karen had 15 snicker bars. she gave 7 to her brother. what percent did she give away

Mekhanik [1.2K]

Step-by-step explanation:

The way to get this is that you put them in fraction form 7/15 and then you make it equal to to x/100 and then divide the known part of the fraction which in this case is 100/15 which gives 6.67 (rounded). After you get that you multiply it by 7 which give you 46.69%

6 0

2 years ago

A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo

SpyIntel [72]

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

$\frac{5}{80}=\frac{12}{x}$

x = $\frac{(80)(12)}{5}$ = 192 ft ⇒ x is the length of the shadow of the building

3 0

2 years ago

If five times a number plus two is 17 what is the number

Mila [183]

5 times a number plus two is 17

5(x) + 2 = 17

isolate the x, do the opposite of PEMDAS

(Note: What you do to one side you do to the other, because of equal sign)

5x + 2 (-2) = 17 (-2)

5x = 15

5x/5 = 15/5

x = 3

hope this helps

3 0

2 years ago

8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to

amm1812

Answer:

K = 43

Step-by-step explanation:

We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:

5y + 4x = 8

Rearrange

5y = 8 – 4x

5y = –4x + 8

Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4

Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.

This can be obtained as follow:

For perpendicular lines, their gradient is given by:

m1 × m2 = – 1

With the above formula, we can obtain the gradient of the line as follow:

m1 × m2 = – 1

m1 = –4

–4 × m2 = – 1

Divide both side by –4

m2 = –1/–4

m2 = 1/4

Finally, we shall determine the value of k as follow:

Coordinate => (k, 4) and (3, –6)

x1 coordinate = k

y1 coordinate = 4

x2 coordinate = 3

y2 coordinate = –6

Gradient (m) = 1/4

m = (y2 – y1) / (x2 – x1)

1/4 = (–6 – 4) / (3 – K)

1/4 = –10 /(3 – K)

Cross multiply

3 – K = 4 × –10

3 – K = –40

Collect like terms

– K = – 40 –3

–k = –43

Divide both side by – 1

K = –43/–1

k = 43

3 0

2 years ago

Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day

kvv77 [185]

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

<h3>How to calculate the probability distribution?</h3>

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

<h3>Calculation:</h3>

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

= 1.67

Z - score for X = 156:

Z = (156 - 120)/18

= 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

brainly.com/question/26822684

#SPJ1

5 0

1 year ago