Please help!! 20 points

Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Juliette [100K]

9514 1404 393

Answer:

x ≈ -4.9

Step-by-step explanation:

There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.

x ≈ -4.9

_____

Using iterative techniques, the calculator can give an answer to the full precision available. It is ...

x ≈ −4.91733286844

6 0

3 years ago

I need help with this please help meeee:(!

Flura [38]

Answer:

f=c+2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(-1,2p³q)(10p²r²)= Help me

MaRussiya [10]

For this case we have the following expression:
$(-1.2p^3q)(10p^2r^2)$
When making multiplication, the first thing you should keep in mind is the following property:
Same basis, the exponents are added.
We have then:
$-12p^{3+2}r^2q$
Rewriting we have:
$-12p^{5}r^2q$
Answer:
The simplified expression is given by:
$-12p^{5}r^2q$

5 0

4 years ago

05.06A)The figure below shows triangle XYZ and some of its transformed images on a coordinate grid: A coordinate plane is shown

Luba_88 [7]

A translation of triangle XYZ is triangle B shifted by 7 units to left.

Given that, triangle XYZ (2, 4), (5, 5) and (3, 0).

<h3>What is translation?</h3>

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.

We can see from given figure ΔXYZ and the triangle B are alike.

From ΔXYZ translated to triangle B by 7 units left.

Therefore, a translation of triangle XYZ is triangle B shifted by 7 units to left.

To learn more about the translation visit:

brainly.com/question/8797028.

#SPJ1

7 0

1 year ago

Hypothesis Testing

Yuri [45]

Answer:

Problem 1: We conclude that less than or equal to 50% of adult Americans without a high school diploma are worried about having enough saved for retirement.

Problem 2: We conclude that the volume of Google stock has changed.

Step-by-step explanation:

Problem 1:

We are given that in a recent survey conducted by Pew Research, it was found that 156 of 295 adult Americans without a high school diploma were worried about having enough saved for retirement.

Let p = proportion of adult Americans without a high school diploma who are worried about having enough saved for retirement

So, Null Hypothesis, $H_0$ : p $\leq$ 50% {means that less than or equal to 50% of adult Americans without a high school diploma are worried about having enough saved for retirement}

Alternate Hypothesis, $H_A$ : p > 50% {means that a majority of adult Americans without a high school diploma are worried about having enough saved for retirement}

This is a right-tailed test.

The test statistics that would be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adult Americans who were worried about having enough saved for retirement = $\frac{156}{295}$ = 0.53

n = sample of adult Americans = 295

So, the test statistics = $\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{295} } }$

= 1.03

The value of z-test statistics is 1.03.

Also, the P-value of the test statistics is given by;

P-value = P(Z > 1.03) = 1 - P(Z $\leq$ 1.03)

= 1 - 0.8485 = 0.1515

Now, at a 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is less than the critical value of z as 1.03 < 1.645, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that less than or equal to 50% of adult Americans without a high school diploma are worried about having enough saved for retirement.

Problem 2:

We are given that a random sample of 35 trading days in 2014 resulted in a sample mean of 3.28 million shares with a standard deviation of 1.68 million shares.

Let $\mu$ = mean daily volume in Google stock

So, Null Hypothesis, $H_0$ : $\mu$ = 5.44 million shares {means that the volume of Google stock has not changed}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 5.44 million shares {means that the volume of Google stock has changed}

This is a two-tailed test.

The test statistics that would be used here is One-sample t-test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean volume in Google stock = 3.28 million shares

s = sample standard deviation = 1.68 million shares

n = sample of trading days = 35

So, the test statistics = $\frac{3.28-5.44}{\frac{1.68}{\sqrt{35} } }$ ~ $t_3_4$

= -7.606

The value of t-test statistics is -7.606.

Also, the P-value of the test statistics is given by;

P-value = P( $t_3_4$ < -7.606) = Less than 0.05%

Now, at a 0.05 level of significance, the t table gives a critical value of -2.032 and 2.032 at 34 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the volume of Google stock has changed.

8 0

3 years ago