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2 years ago

14

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1.

An open circle is at 4 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.

2 answers:

olga55 [171]2 years ago

6 0

Answer:

Graph C

Step-by-step explanation:

Shkiper50 [21]2 years ago

5 0

Answer:

C. 2 is less than or equal to x

Step-by-step explanation:

E d g e n u i t y 2020

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What is unusual about the arrangement of the fossils in the diagram

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The oldest fossil is closer to the surface.

Step-by-step explanation:

Usually, the closer to the core of the Earth, the older the fossils. However, in this image, the oldest fossil is closer to the surface.

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1. 56.6 - 3.2 = 53.4
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3. 26.7 - 6 = 20.7
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2 years ago

In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan

sammy [17]

Answer:

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best answer would be:

A. Z test

Step-by-step explanation:

Data given and notation

$\bar X=36670$ represent the mean average

$\sigma=6362$ represent the population standard deviation for the sample

$n=1225$ sample size

$\mu_o =37100$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal or not to 37100, the system of hypothesis would be:

Null hypothesis: $\mu =37100$

Alternative hypothesis: $\mu \neq 37100$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best answer would be:

A. Z test

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2 years ago

1/4 of the roses are red, 1/3 of the remainder are yellow and the rest are pink. There are 24 more pink roses than red roses. Ho

Alika [10]

<h3>There are 96 roses altogether</h3>

<em><u>Solution:</u></em>

Let "x" be the number of roses

From given,

<em><u>1/4 of the roses are red</u></em>

$Red\ roses = \frac{1}{4} \times x\\\\Red\ roses = \frac{x}{4}$

<em><u>1/3 of the remainder are yellow</u></em>

$Remaining = x - \frac{x}{4}\\\\Remaining = \frac{3x}{4}$

Therefore,

$Yellow\ roses = \frac{1}{3} \times \frac{3x}{4}\\\\Yellow\ roses = \frac{x}{4}$

<em><u>Rest are pink</u></em>

$Remaining = \frac{3x}{4} - \frac{x}{4}\\\\Remaining = \frac{2x}{4}\\\\Remaining = \frac{x}{2}$

Therefore,

$Pink\ Roses = \frac{x}{2}$

There are 24 more pink roses than red roses

Therefore,

Number of pink roses = 24 + red roses

$\frac{x}{2} = 24 + \frac{x}{4}\\\\\frac{x}{2} - \frac{x}{4} = 24\\\\\frac{x}{4} = 24\\\\x = 24 \times 4\\\\x = 96$

Thus there are 96 roses altogether

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2 years ago

Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the w

Anna [14]

Answer:

$Each\ Weight = \frac{1}{4}$ lb

Step-by-step explanation:

Given

$Weights = \frac{3}{4}lb$

$Bananas = 3$

Required

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To do this, we simply divide the total weight by the number of bananas.

$Each\ Weight = \frac{3}{4}/3$

Convert to multiplication

$Each\ Weight = \frac{3}{4} * \frac{1}{3}$

$Each\ Weight = \frac{1}{4}$

<em>Hence, each banana weighs 1/4 of a pound</em>

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