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3 years ago

Choose the math property used to complete the mathematical step shown below.

Mathematics

2 answers:

Katena32 [7]3 years ago

4 0

x + 15 = 24

subtract 15 from both sides

x = 24 - 15 = 9

dimulka [17.4K]3 years ago

4 0

You have to substitute all the x's in the equation by 29:

9 + 15 = 24

Now we solve it:

9 + 15 = 24

24 = 24

↑ Since the numbers match, we can conclude that the equation is indeed true, x = 9.

Hope it helped,

BioTeacher101

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Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2

miskamm [114]

Answer:

$\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}$

Step-by-step explanation:

Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2

Let two numbers are x and y. When they are divided the quotient is -1. So,

$\dfrac{x}{y}=-1$

It can also be written as :

x = -y ....(1)

The subtraction of first minus the second is -3/2 .

$x-y=\dfrac{-3}{2}\ .....(2)$

Use equation (1) in (2),

$-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}$

From equation (1) : $x=\dfrac{-3}{4}$

Hence, two numbers are $\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}$ .

4 0

4 years ago

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. State the h

Soloha48 [4]

Answer:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

Step-by-step explanation:

Data given and notation

$\bar X=67$ represent the sample mean

$s=12$ represent the population standard deviation for the sample

$n=16$ sample size

$\mu_o =60$ 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 higher than 60, the system of hypothesis would be:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

4 0

3 years ago

Heeeelp!!!!!!!!!!!!!ok thx

dezoksy [38]

Answer:

$5$ km