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2 months ago

7

Find the value of x in the triangle shown below

2 answers:

lawyer [12.5K]2 months ago

6 0

The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.

zzz [12.3K]2 months ago

3 0

The triangle in question is identified as a right triangle with specified base and height. We can determine the unknown side utilizing the Pythagorean Theorem, which states: Hypotenuse = 13 Perpendicular = 5 Base = x Thus, the calculated value of 'x' is 12.

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Frances has no money in her checking account. she writes 3 checks for $35 each. the bank imposes $15 penalty because she has ove

tester [12383]

Start with 0. Subtracting three checks of $35 gives 0 - 35 - 35 - 35 = -105. Subtract the $15 overdraft penalty to get -120. So the balance is -$120. hope this helped.

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2 months ago

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Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t

babunello [11817]

Answer:

To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation

1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation

After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, $x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ for equations of the type 0 = a·x² - b·x + c.

When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.

Step-by-step explanation:

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3 months ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

PIT_PIT [12445]

Answer:

a) Null and alternative hypothesis

$H_0: \mu=1503\\\\H_a:\mu< 1503$

b) Point estimate d = -$78

c) Test statistic t = -2.438

P-value = 0.0113

Reject H0. This indicates that the average automobile premium in Pennsylvania is lower than in the nation.

Step-by-step breakdown:

This is a statistical test for the average population mean.

The hypothesis posits that car insurance in Pennsylvania is notably less expensive compared to the national average.

Accordingly, the null and alternative hypotheses are:

$H_0: \mu=1503\\\\H_a:\mu< 1503$

The significance level is set at 0.05.

The sample size is n=25.

The sample mean equates to M=1425.

A point estimate of the difference between the Pennsylvania mean premium and the national average can be computed using the sample mean:

$d=M-\mu=1425-1503=-78$

Given that the standard deviation of the population is unknown, we approximate it using the sample standard deviation, which is s=160.

The estimated standard error of the mean is determined with the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{160}{\sqrt{25}}=32$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1425-1503}{32}=\dfrac{-78}{32}=-2.438$

The degrees of freedom for this sample size stand at:

$df=n-1=25-1=24$

This constitutes a left-tailed test, with 24 degrees of freedom and t=-2.438, rendering the P-value as (per a t-table):

$\text{P-value}=P(t$

As the P-value (0.0113) falls below the significance level (0.05), the results prove significant.

Thus, the null hypothesis obtains dismissal.

At a 0.05 significance level, there's sufficient evidence to assert that car insurance in Pennsylvania costs notably less than the national average.

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2 months ago

Barry has 17 more than two-thirds of the number of cards in his brother’s baseball card collection. If x represents the number o

zzz [12365]

Answer: The precise answer is 2/3x + 17

Step-by-step explanation:

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1 month ago

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