Two of the angles in a triangle measure 149° and 90. What is the measure of the third<br> angle?

Help math word problem

erastova [34]

Lets x = # pounds of coffe

70 - 8.06x = 37.76

- 8.06x = - 32.24

x = 4

Answer

4 lbs

4 0

3 years ago

the performing arts department put in its spring show on Friday and Saturday nights. the price of a ticket was the same both nig

Galina-37 [17]

Let $p=$ the price of a ticket
Let $c=$ the cost to put on the show

Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:
$500=120p-c$
$400=100p-c$
Solve:
$100=20p$
⇒ $p=5$
⇒ $400=100(5)-c$
⇒ $400=500-c$
⇒ $c=100$

So the price of a ticket is $5, and the cost to put on the show is $100.

3 0

3 years ago

If their food and beverages costs$25.30 and there is an 8% meals tax, how much is the bill

Mashutka [201]

Hey there Unrazed90,

Answer :

100% = $25.30
1% = $25.30 / 100
= $0.253
8% = $0.253 x 8
= $2.024
Total = $25.30 + $2.024
= $27.324
= $27

Hope this helps :D

<em>~Natasha ♥</em>

8 0

3 years ago

An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w

zzz [600]

Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

$df=n-1=12-1=11$

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \leq 0$

Alternative hypothesis: $\mu_y -\mu_x >0$

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685$

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

The next step is calculate the degrees of freedom given by:

$df=n-1=12-1=11$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

4 0

3 years ago

What is 10 times as much as in decimal 0.2?

saul85 [17]

0.02 this isa the answer

3 0

2 years ago

Two of the angles in a triangle measure 149° and 90. What is the measure of the third angle?