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Amiraneli [1.4K]
3 years ago
6

The product of two numbers is 3419 and their gcd is 13. Find the lcm

Mathematics
1 answer:
QveST [7]3 years ago
8 0
16 (LCM)=ab3584=ab
so the LCM is 224
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In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s
Oksi-84 [34.3K]

Answer:

a) \mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

b) From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

c) P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

P(Z\geq2.070)=1-P(Z

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

\mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

Part c

For this case we want this probability:

P(\bar X \geq 285)

And we can use the z score defined as:

z=\frac{\bar x -\mu}{\sigma_{\bar x}}

And using this we got:

P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

And using a calculator, excel or the normal standard table we have that:

P(Z\geq2.070)=1-P(Z

8 0
3 years ago
a box has a length of 12 inches and a width of 10 inches . If the volume of the box is 960 cubic inches. What is it's height?​
Marizza181 [45]

length* width

12*10= 120

Volume /120

960/120=8

height is 8 inches

5 0
3 years ago
LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?
sp2606 [1]

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

4 0
3 years ago
If 2 - 4(y + 1) = 2y + 16, what is the value of y?<br> Show all work, please.
VladimirAG [237]

Answer:

y = -3

Step-by-step explanation:

2 - 4(y + 1) = 2y + 16

2 - 4y - 4 = 2y + 16

2 - 4 = 6y + 16

- 2 = 6y + 16

- 18 = 6y

-3 = y

6 0
3 years ago
Read 2 more answers
C. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
garri49 [273]

Answer:

31

Step-by-step explanation:

Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48  slices

If only 17 remains, 48-17 = 31 slices got eaten

6 0
3 years ago
Read 2 more answers
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