In the diagram below, BD is parallel to Y. What is the value of y?

Which statement is a example of a theorem? a line is an infinite set of points that extends in opposite directions,

adelina 88 [10]

Most car accidents happen at night

8 0

3 years ago

12 Х 18 x= TO This is 7th grade math

svlad2 [7]

What’s the math called?

3 0

3 years ago

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0

3 years ago

Read 2 more answers

in solving the equation for x to distribute a minus 4 on one side of the equation what needs to be done on the other side of the

IrinaVladis [17]

The distributive property is a simplification rule that does not change the value of an expression. Nothing need be done to the other side of the equation.

q = -4(3+x)
q = -4*3 -4*x . . . . . the -4 is distributed. The right side has not changed value.

6 0

3 years ago

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Write the simplest polynomial function with the given roots 2i, square root of 3, and 4

Volgvan

Answer:

y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
y = (x - 4)(x^2 + 4)(x^2 - 3) Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3

So the answer must be

(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) <<< Possible answer

but this can be reduced even further.

(x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
(x + 2i)(x - 2i) = x^2 - 4(i)^2
(x + 2i)(x - 2i) = x^2 + 4. Remember i^2 = - 1

By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3) <<<< Answer

If this is not among your answers and the factored form is not either, please tell me what is.

5 0

3 years ago