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Lady bird [3.3K]
2 years ago
7

Jennifer bought a printer that cost $240. there was a 7% sales tax on the printer. how much sales tax did jennifer pay?

Mathematics
2 answers:
lilavasa [31]2 years ago
5 0
Divide 7% into $240 dollars and hat should get you your answer.
hope this helps!
SCORPION-xisa [38]2 years ago
3 0
240 x 0.07 = $16.80

sales tax = $16.80

hope that helps
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Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
2 years ago
What is the area of the triangle?<br> 118 cm<br> 24 cm<br> 30 cm
Arada [10]

Answer:

360

Step-by-step explanation:

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3 years ago
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Please help I will give brainlyest!!!
iragen [17]

Answer:

cylinder

Step-by-step explanation:

3 0
2 years ago
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Evan saves $2 for every $5 he earns mowing lawns. How much will Evan have saved when he has earned $150?
Lesechka [4]

Answer:

he will have saved 45$

Step-by-step explanation:

if you take 2 from every 5 and 5 x 15 = 150, you would do 2 x 15 and get 30. So, the answer is 30$

6 0
3 years ago
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A cell phone manufacturer claims that the average battery life of its newest flagship smartphone is exactly 20 hours. Javier bel
adelina 88 [10]

Answer:

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours.

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.

Step-by-step explanation:

1) Data given and notation    

\bar X=19.5 represent the battery life sample mean  

s=1.9 represent the sample standard deviation    

n=33 sample size    

\mu_o =20 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

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

2) State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean battery life is less than 20 :    

Null hypothesis:\mu \geq 20    

Alternative hypothesis:\mu < 20    

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".    

3) Calculate the statistic    

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

t=\frac{19.5-20}{\frac{1.9}{\sqrt{33}}}=-1.51    

4) P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=33-1=32

Since is a one-side lower test the p value would be:    

p_v =P(t_{(32)}    

5) Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the average battery life it's not significantly different less than 20 hours at 5% of signficance. If we analyze the options given we have:

(A) Reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. FALSE, we FAIL to reject the null hypothesis.

(B) Fail to reject the null hypothesis that the true population mean battery life of the smartphone is equal to 20 hours. TRUE, we fail to reject the null hypothesis that the mean would be 20 or higher .

(C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean battery life of the smartphone is less than 20 hours.  TRUE, we FAIL to reject the null hypothesis that the mean is greater or equal to 20 hours, so we reject the alternative hypothesis that the mean is less than 20 hours.

(D) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean battery life of the smartphone is not equal to 20 hours. FALSE the claim is not that the mean is different from 20. The real claim is: "Javier believes the mean battery life is less than 20 hours".

5 0
3 years ago
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