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3 years ago

On a six-day vacation, the forecast is a 70% chance of rain every day. What’s the probability that it rains every day?

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

Answer:

0.12 (12%)

Step-by-step explanation:

Step 1: Given data

Probability of rain every day: 70% (0.7)

Step 2: Calculate the probability that it rains every day

The probability that it rains one day is independent of the probability that it rains another day. For independent events, we can calculate the probability that it rains every day by multiplying the individual probabilities. Since the individual probabilities are equal, this is the same as raising the individual probability to the number of days.

P = 0.7⁶ = 0.12

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Can someone please answer this???? ASAP

timofeeve [1]

Answer:

A. $y=-\dfrac{8}{7}x-\dfrac{18}{7}$

Step-by-step explanation:

Let $y=mx+b$ be the equation of the perpendicular line.

Two perpendicular lines have slopes with product equal to -1. The slope of the given line is $\frac{7}{8}$ Hence,

$\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}$

is the slope of needed line.

This line passes through the point (-4,2), so its coordinates satisfy the equation:

$2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}$

Therefore, the equation of the line is

$y=-\dfrac{8}{7}x-\dfrac{18}{7}$

7 0

3 years ago

Amelia runs a farm stand that sells strawberries and peaches. Each pound of strawberries sells for $1 and each pound of peaches

ivolga24 [154]

Answer:

<u><em>14 pounds of strawberries and 42 pounds of peaches are sold</em></u>

Step-by-step explanation:

Suppose the pounds of strawberries sold are x and pounds of peaches sold are y. then

$182= x(1) + y(4)--------A

or 182= x(1) +3x(4)------- B

182=x+12x

182/13=x

x=14

6 0

3 years ago

Read 2 more answers

Paper clips are sold in boxes of 1000.

belka [17]

Answer:

6.5%

Step-by-step explanation:

1000 in a box and he orders 5 boxes.

1000x5= 5000

So he orders 5000 paper clips

1 box is £15.40 and he order 5, so £15.40x5= £77

£77 is between £55 and £79.99 so he will get 6.5% discount.

After the discount he will pay £71.99

8 0

3 years ago

Give the answer of in the lowest terms 26/25 •15/28•8/39

DIA [1.3K]

(26/25) x (15/28) x (8/39)

Divide top and bottom by 3 :

(26/25) x (5/28) x (8/13)

Divide top and bottom by 5 :

(26/5) x (1/28) x (8/13)

Divide top and bottom by 4 :

(26/5) x (1/7) x (2/13)

= 52 / 455 = 0.11429... (rounded)

5 0

4 years ago

8.1 = 0.9a, how do you solve?

GrogVix [38]

Answer:

a = 9

Step-by-step explanation:

Simplifying

8.1 = 0.9a

Solving

8.1 = 0.9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.9a' to each side of the equation.

8.1 + -0.9a = 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0

8.1 + -0.9a = 0.0

Add '-8.1' to each side of the equation.

8.1 + -8.1 + -0.9a = 0.0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0

0.0 + -0.9a = 0.0 + -8.1

-0.9a = 0.0 + -8.1

Combine like terms: 0.0 + -8.1 = -8.1

-0.9a = -8.1

Divide each side by '-0.9'.

a = 9

Simplifying

a = 9

5 0

3 years ago