PLEASE HELP!!! URGENT!!

-6 < x - 4 < 2 solve

kati45 [8]

Answer:

- 2 < x < 6

Step-by-step explanation:

- 6 < x - 4 < 2 ( add 4 to each interval )

- 2 < x < 6

5 0

3 years ago

The amount of fertilizer needed for a lawn varies directly with the area of the lawn Mr. Dundee lawn is a rectangular shape and

FrozenT [24]

Answer:

39 pounds is needed

Step-by-step explanation:

Given

Lawn Dimension: 78' by 93'

4 pounds fertilizer for 750ft² area

Required

Determine the amount needed for the given dimension

First, we need to calculate the area of the lawn

$Area = 78' * 93'$

' means feet

So:

$Area = 78ft * 93ft$

$Area = 7254 ft^2$

Let the amount of fertilizer need be x

So, we have:

4 pounds = 750ft²

and

x = 7254ft²

Cross Multiply:

$x * 750 = 4 * 7254$

$x * 750 = 29016$

Solve for x

$x = 29016/750$

$x = 38.688$

<em></em> $x = 39$ <em> (approximated)</em>

4 0

3 years ago

What is the measure of a counterclockwise rotation about the spinnercenter that maps label i to label f? 108 72 36 252

ankoles [38]

Answer: First option 108°

Each label is equivalent to an angle of:
Angle=360°/n
Number of label: n=10
Angle=360°/10
Angle=36°

To map label i to label f in a counterclockwise rotation, we must pass by 3 regions: i to h, h to g, and g to f; each one of 36°. Then the measure of a counterclockwise rotation about the spinnercenter that maps label i to label f is:
Measure=3(36°)
Measure=108°

5 0

4 years ago

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of

Amanda [17]

Answer:

D. 4r + 3(10 – r) = 37

Explanation:

Let r be the roller coaster ride. Since it costs 4 tickets, this gives us the expression 4r.

We know that there were 10 rides total; this leaves Michael 10-r for the number of times he rode the boat ride.

Each boat ride costs 3 tickets; this gives us the expression

3(10-r)

Together, this gives us

4r+3(10-r) = 37

5 0

3 years ago

Read 2 more answers

Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the

kirill115 [55]

Answer:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

$n = 1019$ represent the sampel size

$\hat p=0.6$ represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the info given we got:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

7 0

3 years ago