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fenix001 [56]
3 years ago
6

Pleasee helppp

Mathematics
1 answer:
Schach [20]3 years ago
4 0
Use Photomath will help you find the answer
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The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes.
Firdavs [7]
H(10)=210-15(10)
h(10)=210-150
h(10)=60

The hot air balloon is at an altitude of 210. The hot air balloon slowly falls 15 () per minute, for 10 minutes. He ends up at 60 altitude
6 0
3 years ago
If $4000 is borrowed at a rate of 16% interest
Gemiola [76]

Answer:

(a) $7492

(b) $10,253

(c) $14,032

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

A = P(1 + \frac{r}{n} )^{nt}

where,

A = Final Amount due

P = Initial principal amount borrowed

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

(a) in 4 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(4)}

⇒ A = 7492

(b) in 6 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(6)}

⇒ A = 10,253

(c) in 8 years ;-

⇒ A = 4000(1 + \frac{0.16}{4} )^{4(8)}

⇒ A = 14,032

6 0
3 years ago
Four times the sum of a number X and two is sixteen
brilliants [131]

Answer: x=14

Step-by-step explanation:

Subtract 2

from both sides of the equation.

X=16−2

Subtract 2

from 16

.

X=14

4 0
3 years ago
Read 2 more answers
Mercedes bought 2 1/2 pounds of blueberries and her son ate 1/4 the blueberries how many pounds of blueberries Are left?
iragen [17]
So all you do is you divide 2 1/2 by .25 and you get 10 then you know one fourth or 25% of that package is 10 berries so the rest or 30% left over is 30 berries. 
8 0
3 years ago
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling me
amid [387]

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

H_{0}: p \geq 0.6

And the alternate hypothesis is:

H_{a}: p < 0.6

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that:

\mu = 0.6

\sigma = \sqrt{0.6*0.4}

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that n = 575, X = \frac{338}{575} = 0.5878

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}

z = -0.6

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

3 0
3 years ago
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