Which statements are true about the ordered pair (7, 19) and the system of equations?

A man buys 3 chicken sandwiches at 2.75 each and 2 cokes at 1.19 and the tax is $0.64. he gives you 11.52. how much change shoul

Artist 52 [7]

3 chicken sandwiches at $2.75 each: 3*2.75= 8.25

2 cokes at 1.19: 2*1.19= 2.38

Tax: 0.64

8.25+2.38+0.64= 11.27

He gives you 11.52, to find how much you need to give him back, subtract how much he gives you by the amount that is charged (11.27)

11.52-11.27= $0.25

3 0

2 years ago

A new dental bondlng agent. When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive(called "Smartbon

Gemiola [76]

Answer:

(a) H₀: μ ≥ 5.70 vs. Hₐ:μ < 5.70

(b) The rejection region is (t₀.₀₁,₉ ≤ -2.821).

(c) The value of the test statistic is -4.33.

(d) The true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

Step-by-step explanation:

A hypothesis test should be conducted to determine that the if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

(a)

The hypothesis is:

H₀: The true mean breaking strength of the new bonding adhesive is not less than 5.70 Mpa, i.e. μ ≥ 5.70.

Hₐ: The true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, i.e. μ < 5.70.

(b)

The alternate hypothesis indicates that the hypothesis test is left-tailed.

The rejection region for the left tailed test will be towards the lower tail of the t-distribution curve.

The significance level of the test is: α = 0.01.

The critical value is:

$t_{\alpha ,(n-1)}=t_{0.01,(10-1)}=t_{0.01,9}$

Use the t-table for the critical value.

$t_{\alpha ,(n-1)}=t_{0.01,9}=-2.821$

Since rejection region is in the lower tail the critical value will be negative.

Thus, the rejection region is (t₀.₀₁,₉ ≤ -2.821).

(c)

The test statistic value is:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}$

Given:

$\bar x=5.07\\s=0.46\\n=10\\\mu=5.70$

Compute the value of the t-statistic as follows:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{5.07-5.70}{0.46/\sqrt{10}} =-4.33$

The value of the test statistic is -4.33.

(d)

The value of the test is less than the critical value.

$t=-4.33$

This implies that the test statistic lies in the rejection region.

Hence the null hypothesis will be rejected at 1% significance level.

Conclusion:

As the null hypothesis is rejected it can be concluded that the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

(e)

The conditions required for the t-test for single mean to be valid is:

The data should be continuous.
The parent population should be normally distributed.
The sample should be randomly selected.

5 0

2 years ago

Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.

olya-2409 [2.1K]

Answer: A

Step-by-step explanation:

$f(x)=3x-7\\g(x)=2x^2$

$(f-g)(x)=3x-7-(2x^2)\\(f-g)(x)=3x-7-2x^2\\(f-g)(x)=-2x^2+3x-7$

6 0

2 years ago

HELP WHAT IS THE SLOPE OF THIS GRAPH!!! DUE TODAY ALMOST LATE!!!!!

Nady [450]

Answer:

wait what?

how is something meant to be due late, like b r u h you can't make a task due late. LOL :)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Please help me.........

marishachu [46]

Answer:

126 square feet

Step-by-step explanation:

The formula for the area of a triangle is ...

A = (1/2)bh . . . . . where b is the base length and h is the height

Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...

A = (1/2)(6 ft)(14 ft) = 42 ft^2

The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...

LA = 3·(42 ft^2) = 126 ft^2

6 0

3 years ago