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2 years ago

How do I start off these problems?

Mathematics

1 answer:

Marina CMI [18]2 years ago

8 0

First of all you have to make them equal to each other. What I mean is the following
3x+20=2x+40
Then you should just solve for x

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The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new functio

xz_007 [3.2K]

The answer to this equation is C.
C. (x + 7)2<span> – 47</span>

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3 years ago

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Tripp decided to go on vacation to the beach. After driving 60% of the way, he decided to stop for lunch. If he stopped for lunc

umka21 [38]

Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

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2 years ago

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consuela's living room is a rectangle with an area of 360 square feet. the width of the living room is 5/8 its length. what is t

Aleks [24]

Area of Consuela's rectangular living room = 360 square feet
Let us assume the the length of the living room = x
Then
width of the living room = (5/8) * x
= (5x/8)
Then
Area of the rectangle = Length * Width
360 = x * (5x/8)
360 = 5x^2/8
2880 = 5x^2
x^2 = 2880/5
x^2 = 576
x^2 = (24)^2 inches
x = 24
Then
The length of the rectangle is = 24 inches
And
The Width of the rectangle is = 24 * (5/8) inches
= 3 * 5 inches
= 15 inches

3 0

3 years ago

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Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was l

Irina-Kira [14]

Answer:

Judah's hourly wage is $7/hr.

Step-by-step explanation:

x = (86 + 12)/14

x = 98/14

x = 7

7 0

2 years ago

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Which of the following probabilities is equal to approximately 0. 2957? Use the portion of the standard normal table below to he

Travka [436]

Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: $P(0.25 \leq Z \leq 1.25)$

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

If we have

$X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z tables, the p-value we get is

$P(Z \leq z) = \rm p \: value$

Using the z-table, we get the needed probabilities as:

Case 1:

$P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931$

Case 2:

$P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678$

Case 3:

$P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957$

Case 4:

$P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210$

Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: $P(0.25 \leq Z \leq 1.25)$

Learn more about z-scores here:

brainly.com/question/13299273

5 0

2 years ago