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jeyben [28]
3 years ago
15

Brandon enters a contest at the gym. He earns 1 point for his first workout. If he works out the next day, he earns double the p

oints of the previous day. Brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out.
A graph shows day of workout labeled 1 to 10 on the horizontal axis and daily points earned on the vertical axis. A line increases from 1 to 7.

How many points will Brandon earn on day 8 if he works out each of the previous 7 days?

8
32
64
128
Mathematics
1 answer:
solniwko [45]3 years ago
3 0

Answer:

128

Step-by-step explanation:

You start out with one point on day one. The second day, your points are doubled. Each day after that is doubled from the previous day. So, the second day, you have 2 points. Multiply that by 2 to get 4 for day three.

Day four:4 x 2 = 8.

Day five: 8 x 2 = 16.

Day six: 16 x 2 = 32

Day seven: 32 x 2 = 64

Day eight: 64 x 2 = 128

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Yesterday, 4/7 of the 210 students in a contest gave their speeches. How many students gave their speeches?
Elenna [48]

Answer:

120.

Step-by-step explanation:

210 * 4/7

=  30 * 4

= 120.

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3 years ago
Ryan wants to rent a limo for a trip to the city. The limo costs $700 for the night and $2.50 per mile. What is the greatest dis
Pavel [41]

Answer:

20 miles

Step-by-step explanation:

the answer is 20 miles

5 0
3 years ago
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Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the p
siniylev [52]

Answer:

1 over 12.

Step-by-step explanation:

The probability of Carl rolling a 2 is one out of six. The probability of him rolling a 4 is one out of six. but they need to happen one right after the other, so you add them.

6 0
3 years ago
Write the equation of the circle that has a center of (-7, 17) with<br> a radius of V19.
kipiarov [429]

I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at <em>(h,k)</em> and <em>radius r</em> is given by {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} . Now , using same concept in this question ;

{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}

<em>This is the required equation of Circle </em>

8 0
2 years ago
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ &lt; 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
3 years ago
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