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4 years ago

(16 POINTS) (EXPLAIN ANSWER!!)

Mathematics

1 answer:

MAVERICK [17]4 years ago

5 0

Answer:

Step-by-step explanation:

(probability of the first event) x (probability of the second event)

male community college

84/164 93/164

mutiply the two together 1953/6724 or 29%

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What is 1.03 * 1.005

ki77a [65]

1.03*1.005=1.03515
Don't you ahve a calculator on your phone or computer?

4 0

3 years ago

Read 2 more answers

Factor 3/4 out of 3/4z + 6

Alenkasestr [34]

ANSWER

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

EXPLANATION

We want to factor
$\frac{3}{4}$
out of

$\frac{3}{4} z + 6$

The first term is already having a factor of
$\frac{3}{4}$
The constant term which is the second term is not having a factor of
$\frac{3}{4}$
so we need to use a trick of multiplying and dividing by the same factor to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} }$

We can now factor
$\frac{3}{4}$
out of the right hand side to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )$
Let us rewrite the right most fraction using the normal division symbol.

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )$

We simplify to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \times \frac{4}{3} )$

This further gives us,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 2 \times 4 )$

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

5 0

3 years ago

Read 2 more answers

At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A

NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0

3 years ago

Anca a citit 375 de pagini dintr-o carte. În fiecare zi, începând cu a doua zi, ea a citit cu 5 pagini mai mult decât în ziua pr

prohojiy [21]

Answer:

a=65

Step-by-step explanation:

Avem 375 pagini

Notam cu a numaruide pagini

In prima zi avem-a, poi a doua zi-a+5, a treia-a+10, apatra-a+

15 si a cincea zi avem-a+20

Le adunam si egalam cu 375

5a=50=375

5a=325

a=65

8 0

3 years ago

Who wants a brainist whats the how do you convert ratios

iren2701 [21]

Answer:

To a whole number: Add the numbers in the ratio together
To a fraction: Each number in the ratio would become a numerator in a fraction

I hope this helps!

Credit goes to: calculatorsoup.com

4 0

3 years ago