What is the compatable number of 358

Vince can mop a floor in 30 minutes. Annie can mop the same floor in 45 minutes. How long would it take them to mop the floor if

amid [387]

Answer: 15 i think

Step-by-step explanation: not sure

5 0

3 years ago

Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$

Sample 2:

$\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

Distribution of the difference:

$X = \mu_1 - \mu_2 = 110 - 108 = 2$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226$

What is the value of the test statistic?

$z = \frac{X - \mu}{s}$

$z = \frac{2 - 0}{1.1226}$

$z = 1.78$

The value of the test statistic is $z = 1.78$

5 0

3 years ago

10/5 POINTSSSSSS!!!!!

Yanka [14]

It's b 1/9 mile i thank

8 0

2 years ago

01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m& AOC=125° m

Citrus2011 [14]

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

<h3>Cómo analizar tres ángulos consecutivos</h3>

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125° (1)

∠BOC + ∠COD = 100° (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos AOB y COD del sistema de tres ángulos consecutivos es igual a 25°. $\blacksquare$

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD (3)

∠AOB + ∠BOC - ∠COD = 40° (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. $\blacksquare$

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/21209282

8 0

2 years ago

20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is

marin [14]

Answer:

18550 - 10x

Step-by-step explanation:

Given that :

Cost of admission in Advance = $25

Cost of admission at the door = $35

Number of people who paid in advance = x

Total number of tickets sold = 530

Total amount made from ticket sales will be :

(Number who paid in advance * cost) + (number who paid at the door * cost)

(25 * x) + (530 - x) * 35

25x + 18550 - 35x

18550 - 10x

6 0

3 years ago