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2 years ago

9

In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x

? (Please provide explanation)

1 answer:

ololo11 [35]2 years ago

4 0

X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!

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Galina-37 [17]

Answer:

92000

Step-by-step explanation:

<u>Given:</u>

I = 5% = 0.05
t = 2 years
Let the sum is x.

<u>Simple interest:</u>

SI = x*2*0.05 = 0.1x

<u>Compound interest:</u>

CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x

<u>The difference is 230:</u>

0.1025x - 0.1x = 230
0.0025x = 230
x = 230/0.0025
x = 92000

3 0

2 years ago

The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume

AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

$H_0: \mu_m=\mu_w\\\\H_1: \mu_m\neq\mu_w$

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

$s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63$

The test statistic is

$t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11$

The degrees of freedom are:

$df=n_1+n_2-2=40+30-2=68$

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

5 0

3 years ago

Please help me with this.

OLga [1]

Swapping rows alters the sign of the determinant:

$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}$

Multiplying a single row by a scalar scales the determinant by the same amount:

$\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}$

Then

$\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}$

8 0

1 year ago

Select all values of x that make the inequality true -x+6> 10 true .

Rufina [12.5K]

Answer:

<em>C. -4.01</em>

<em>H. -7</em>

Step-by-step explanation:

<u>Solving inequalities:</u>

We have a set of numbers to verify which ones of them make the below inequality true

$-x+6>10$

Rearrange

$-10+6>x$

Operating

$-4>x$

Flipping

$x$

The set of solutions contains every number less than -4

There are only two numbers less than -4 in the set of options:

C. -4.01

H. -7

4 0

2 years ago

Read 2 more answers

The third shipment weighed 10.25 times as much as the second shipment. if the third shipment weighed 15,662 pounds how much does

N76 [4]

Answer:

$1528 = s$

Step-by-step explanation:

15662 = 10,25s

______ _______

10,25 10,25

$1528 = s$

The second shipment weighs $1528$ pounds.

I am joyous to assist you anytime.

5 0

3 years ago