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3 years ago

Suppose p varies directly as d, and p = 2 when d = 7. What is the value of d when p = 10?

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

6 0

Answer:

d = 35

Step-by-step explanation:

Genrish500 [490]3 years ago

5 0

Answer:

The answer is 35. I took the test and got 35.

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Which of the following coordinates of points belong to the solution set of the inequality y <2x² +3x - 5?

bogdanovich [222]

Answer:

Step-by-step explanation:

Check the inequality for each point.

For A. (-3,2)

$y < {2x}^{2} + 3x - 5 \\ 2 < {2 ( - 3)}^{2} + 3( - 3) - 5 \\ 2 < 2 \times 9 - 9 - 5 \\ 2 < 18 - 9 - 5 \\ 2 < 4 \\$

The inequality is satisfied.

For B. (-2,9)

$y < {2x}^{2} + 3x - 5 \\ 9 < 2 {( - 2)}^{2} + 3( - 2) - 5 \\ 9 < 2(4) - 6 - 5 \\ 9 < 8 - 6 - 5 \\ 9 < - 3 \\$

The inequality is not satisfied.

For C. (1,6)

$y < {2x}^{2} + 3x - 5 \\ 6 < {2(1)}^{2} + 3(1) - 5 \\ 6 < 2(1) + 3 - 5 \\ 6 < 2 + 3 - 5 \\ 6 < 0$

The inequality is not satisfied.

For D. (3,1)

$y < {2x}^{2} + 3x - 5 \\ 1 < {2(3)}^{2} + 3(3) - 5 \\ 1 < 2(9) + 9 - 5 \\ 1 < 18 + 9 - 5 \\ 1 < 22 \\$

The inequality is satisfied.

For E. (-1,5)

$y < {2x}^{2} + 3x - 5 \\ 5 < {2( - 1)}^{2} + 3( - 1) - 5 \\ 5 < 2(1) - 3 - 5 \\ 5 < 2 - 3 - 5 \\ 5 < - 6 \\$

The inequality is not satisfied.

6 0

3 years ago

A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At t

Alik [6]

Answer: We will not accept the null hypothesis.

Step-by-step explanation:

Since we have given that

sample size n = 1068

$\hat{p}$ = 48% = 0.48

At 0.01 level of significance, z = - 2.58

Hypothesis are:

$H_0:p=0.5\\\\H_a:p\neq 0.5$

So, test statistic value would be:

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.48-0.50}{\sqrt{\dfrac{0.5\times 0.5}{1068}}}\\\\z=\dfrac{-0.02}{0.0152}\\\\z=-1.315$

So, test statistic > critical value.

Hence, we will not accept the null hypothesis.

7 0

3 years ago

Tim wants to ride his bike for 25 miles or less on some mountain bike trails.

bekas [8.4K]

Answer:

Eagle Ridge 2 Times

Black Bear 1 time and Doe Run 2 Times

Eagle Ridge 1 time and Doe Run 1 time

B,D,E

Step-by-step explanation:

Took a test 100%

5 0

3 years ago

What value of theta makes sin(θ)=0.747 rounded to 2 decimal places

Zigmanuir [339]

Answer:

$\theta\approx48.33^\circ$

Step-by-step explanation:

$\theta=sin^{-1}(0.747)\approx48.33^\circ$

6 0

2 years ago

Find the indicated z score. The graph depicts the standard normal

Pavlova-9 [17]

Answer C is your answer

3 0

3 years ago

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