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2 years ago

Please help me with this .

Mathematics

2 answers:

solniwko [45]2 years ago

6 0

Answer:

x=4

Step-by-step explanation:

It's a parallel line so the equation is

100+19x+4=180

19x=180-100-4

19x=76

x=76/19

x=4

bezimeni [28]2 years ago

3 0

Answer: x = 4

Step-by-step explanation: The 2 angles are same-side interior angles, which are supplementary, and supplementary angles add up to 180, so we know that 19x + 4 = 80.

- 4. -4

19x = 76

/19. /19

X = 4

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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

2 years ago

F(x)=2x+3/4x+5<br>find f(-9)<br>

mylen [45]

$\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$f(x) = \frac{2x + 3}{4x + 5} \\$

For $f(-9)$ , put " $-9$ " for every value of " $x$ ".

$↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}\\$

$↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5} \\$

$↬ f(-9) = \frac{ - 15}{ - 31}\\$

$↬ f(-9)= \frac{15}{31}\\$

$↬f(-9)= 0.48\\$

$\bold{ \green{ \star{ \red{Mystique35}}}}⋆$

6 0

2 years ago

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7. Manuel buys his grandmother a bunch of flowers for $12.95 and buys some candy for his mother for $2.76. If he has $7.83 left,

xxMikexx [17]

Answer:

$23.54

Step-by-step explanation:

12.95+2.76+7.83=23.54

7 0

2 years ago

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The value of 2 to the 3rd power + 3 to the 3 power = ___.

Arturiano [62]

35.

2*2= 4*2=8

3*3=9*3=27

27+8=35

So the answer is 35. Hope this helps

3 0

2 years ago

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What is the sum of the first 10 terms in the geometric sequence -3 6 -12 24 -48

vlada-n [284]

Use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -3
r is the common ratio, -2
and n is the number of terms

Thus,
Sum = ((-3)((-2)^10 - 1))/(-2-1) = 1023

3 0

2 years ago