All categories

3 years ago

Raphael had 5 hits in 7 at bats. If he continues this pattern, how many hits will he have in 210 at bats?

1 answer:

5 0

So it tell us that he is able to get 5 hits out of 7 and to find how much he could make if 210 chances
$\frac{5}{7} = \frac{x}{210}$

We solve what can be solved
$0.7 = \frac{x}{210}$

Then we leave our variable alone
$0.7 *210=x$

Last we solve
$x=147$

In this case we can see that he could make 147 hits out of 210 bats.

You might be interested in

In the rhombus,8y-6 . Find the value of y.

gregori [183]

I think that the answer to the question is 0.75

7 0

3 years ago

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s

timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

$y = 2x + 5$ --- equation

$y = 5$ --- y intercept

$m = 2$ --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

$(x_1,y_1) = (15,35)$

$(x_2,y_2) = (0,5)$

The slope (m) is:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

$m = \frac{5-35}{0-15}$

$m = \frac{-30}{-15}$

$m = 2$

So, the line of best fit is:

$y = m(x - x_1) + y_1$

Substitute known values:

$y = 2(x - 0) + 5$

$y = 2(x) + 5$

$y = 2x + 5$

The y-intercept is when $x=0$

So, we have:

$y = 2*0 + 5$

$y = 0 + 5$

$y = 5$

6 0

2 years ago

In a GP the second and fourth terms are 0.04 and I respectively find the common ratio and the first term

Reptile [31]

Answer:

common ratio=0.5, a1= 0.08

Step-by-step explanation:

r=a3/a2

r=a4/a3

compare both we get:

a3/a2=a4/a3

subtitute a2=0.04 and a4=1

a3/0.04=1/a3

(a3)^2=0.04*1

(a3)^2=0.04

taking square root in both sides

a3=0.02

For r, r=a3/a2

subtitute a3 and a2 above

r=0.02/0.04

r=0.5 common ratio

For a1

r=a2/a1

0.5=0.04/a1

a1=0.04/0.5

a1=0.08

4 0

3 years ago

A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of

katen-ka-za [31]

Answer:

Larger sample size gives less std error and hence test statistic is larger.

Step-by-step explanation:

Given that a newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate

Group I II

Success 640 64

Total 1200 120

p 0.533333333 0.533333333

q 0.466666667 0.466666667

se 0.014401646 0.045542003

p diff 0.033333333 0.033333333

Z 2.314550249 0.731925055

p 0.01 0.233

we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger. So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis

3 0

3 years ago

Help pls ill give briniest

Tems11 [23]

Answer:

4. a) kilometer

b) liter

5. a) gram

b) meter

I'm not totally sure if I'm right

5 0

2 years ago